index
int64 | query
string | choices
list | source
string | gold
int64 | query_olmes
string | full_text_olmes
string | full_text
string | id_olmes
null | id
string |
|---|---|---|---|---|---|---|---|---|---|
142 |
Question: Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $\$ 640$ per week, and senior directors, who will be paid $\$ 880$ per week. Her budget for paying the staff members is no more than $\$ 9,700$ per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if $x$ is the number of junior directors and $y$ is the number of senior directors?
A. $640 x+880 y \geq 9,700$ $x+y \leq 10$ $x \geq 3$ $y \geq 1$
B. $640 x+880 y \leq 9,700$ $x+y \geq 10$ $x \geq 3$ $y \geq 1$
C. $640 x+880 y \geq 9,700$ $x+y \geq 10$ $x \leq 3$ $y \leq 1$
D. $640 x+880 y \leq 9,700$ $x+y \leq 10$ $x \leq 3$ $y \leq 1$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $\$ 640$ per week, and senior directors, who will be paid $\$ 880$ per week. Her budget for paying the staff members is no more than $\$ 9,700$ per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if $x$ is the number of junior directors and $y$ is the number of senior directors?
A. $640 x+880 y \geq 9,700$ $x+y \leq 10$ $x \geq 3$ $y \geq 1$
B. $640 x+880 y \leq 9,700$ $x+y \geq 10$ $x \geq 3$ $y \geq 1$
C. $640 x+880 y \geq 9,700$ $x+y \geq 10$ $x \leq 3$ $y \leq 1$
D. $640 x+880 y \leq 9,700$ $x+y \leq 10$ $x \leq 3$ $y \leq 1$
Answer:
|
Question: Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $\$ 640$ per week, and senior directors, who will be paid $\$ 880$ per week. Her budget for paying the staff members is no more than $\$ 9,700$ per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if $x$ is the number of junior directors and $y$ is the number of senior directors?
A. $640 x+880 y \geq 9,700$ $x+y \leq 10$ $x \geq 3$ $y \geq 1$
B. $640 x+880 y \leq 9,700$ $x+y \geq 10$ $x \geq 3$ $y \geq 1$
C. $640 x+880 y \geq 9,700$ $x+y \geq 10$ $x \leq 3$ $y \leq 1$
D. $640 x+880 y \leq 9,700$ $x+y \leq 10$ $x \leq 3$ $y \leq 1$
Answer:
|
Question: Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $\$ 640$ per week, and senior directors, who will be paid $\$ 880$ per week. Her budget for paying the staff members is no more than $\$ 9,700$ per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if $x$ is the number of junior directors and $y$ is the number of senior directors?
A. $640 x+880 y \geq 9,700$ $x+y \leq 10$ $x \geq 3$ $y \geq 1$
B. $640 x+880 y \leq 9,700$ $x+y \geq 10$ $x \geq 3$ $y \geq 1$
C. $640 x+880 y \geq 9,700$ $x+y \geq 10$ $x \leq 3$ $y \leq 1$
D. $640 x+880 y \leq 9,700$ $x+y \leq 10$ $x \leq 3$ $y \leq 1$
Answer: B
| null |
agi_eval_sat-math::retrieval:142
|
|
21 |
Question: Which of the following numbers is NOT a solution of the inequality $3 x-5 \geq 4 x-3$ ?
A. -1
B. -2
C. -3
D. -5
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: Which of the following numbers is NOT a solution of the inequality $3 x-5 \geq 4 x-3$ ?
A. -1
B. -2
C. -3
D. -5
Answer:
|
Question: Which of the following numbers is NOT a solution of the inequality $3 x-5 \geq 4 x-3$ ?
A. -1
B. -2
C. -3
D. -5
Answer:
|
Question: Which of the following numbers is NOT a solution of the inequality $3 x-5 \geq 4 x-3$ ?
A. -1
B. -2
C. -3
D. -5
Answer: A
| null |
agi_eval_sat-math::retrieval:21
|
|
165 |
Question: $$h(t)=-16 t^{2}+110 t+72$$The function above models the height $h$, in feet, of an object above ground $t$ seconds after being launched straight up in the air. What does the number 72 represent in the function?
A. The initial height, in feet, of the object
B. The maximum height, in feet, of the object
C. The initial speed, in feet per second, of the object
D. The maximum speed, in feet per second, of the object
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: $$h(t)=-16 t^{2}+110 t+72$$The function above models the height $h$, in feet, of an object above ground $t$ seconds after being launched straight up in the air. What does the number 72 represent in the function?
A. The initial height, in feet, of the object
B. The maximum height, in feet, of the object
C. The initial speed, in feet per second, of the object
D. The maximum speed, in feet per second, of the object
Answer:
|
Question: $$h(t)=-16 t^{2}+110 t+72$$The function above models the height $h$, in feet, of an object above ground $t$ seconds after being launched straight up in the air. What does the number 72 represent in the function?
A. The initial height, in feet, of the object
B. The maximum height, in feet, of the object
C. The initial speed, in feet per second, of the object
D. The maximum speed, in feet per second, of the object
Answer:
|
Question: $$h(t)=-16 t^{2}+110 t+72$$The function above models the height $h$, in feet, of an object above ground $t$ seconds after being launched straight up in the air. What does the number 72 represent in the function?
A. The initial height, in feet, of the object
B. The maximum height, in feet, of the object
C. The initial speed, in feet per second, of the object
D. The maximum speed, in feet per second, of the object
Answer: A
| null |
agi_eval_sat-math::retrieval:165
|
|
214 |
Question: Near the end of a US cable news show, the host invited viewers to respond to a poll on the show's website that asked, "Do you support the new federal policy discussed during the show?" At the end of the show, the host reported that $28 \%$ responded "Yes," and $70 \%$ responded "No." Which of the following best explains why the results are unlikely to represent the sentiments of the population of the United States?
A. The percentages do not add up to $100 \%$, so any possible conclusions from the poll are invalid.
B. Those who responded to the poll were not a random sample of the population of the United States.
C. There were not $50 \%$ "Yes" responses and $50 \%$ "No" responses.
D. The show did not allow viewers enough time to respond to the poll.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: Near the end of a US cable news show, the host invited viewers to respond to a poll on the show's website that asked, "Do you support the new federal policy discussed during the show?" At the end of the show, the host reported that $28 \%$ responded "Yes," and $70 \%$ responded "No." Which of the following best explains why the results are unlikely to represent the sentiments of the population of the United States?
A. The percentages do not add up to $100 \%$, so any possible conclusions from the poll are invalid.
B. Those who responded to the poll were not a random sample of the population of the United States.
C. There were not $50 \%$ "Yes" responses and $50 \%$ "No" responses.
D. The show did not allow viewers enough time to respond to the poll.
Answer:
|
Question: Near the end of a US cable news show, the host invited viewers to respond to a poll on the show's website that asked, "Do you support the new federal policy discussed during the show?" At the end of the show, the host reported that $28 \%$ responded "Yes," and $70 \%$ responded "No." Which of the following best explains why the results are unlikely to represent the sentiments of the population of the United States?
A. The percentages do not add up to $100 \%$, so any possible conclusions from the poll are invalid.
B. Those who responded to the poll were not a random sample of the population of the United States.
C. There were not $50 \%$ "Yes" responses and $50 \%$ "No" responses.
D. The show did not allow viewers enough time to respond to the poll.
Answer:
|
Question: Near the end of a US cable news show, the host invited viewers to respond to a poll on the show's website that asked, "Do you support the new federal policy discussed during the show?" At the end of the show, the host reported that $28 \%$ responded "Yes," and $70 \%$ responded "No." Which of the following best explains why the results are unlikely to represent the sentiments of the population of the United States?
A. The percentages do not add up to $100 \%$, so any possible conclusions from the poll are invalid.
B. Those who responded to the poll were not a random sample of the population of the United States.
C. There were not $50 \%$ "Yes" responses and $50 \%$ "No" responses.
D. The show did not allow viewers enough time to respond to the poll.
Answer: B
| null |
agi_eval_sat-math::retrieval:214
|
|
122 |
Question: A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, "Are you satisfied with the quality of air in the city?" Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
A. None
B. II only
C. I and II only
D. I and III only
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, "Are you satisfied with the quality of air in the city?" Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
A. None
B. II only
C. I and II only
D. I and III only
Answer:
|
Question: A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, "Are you satisfied with the quality of air in the city?" Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
A. None
B. II only
C. I and II only
D. I and III only
Answer:
|
Question: A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, "Are you satisfied with the quality of air in the city?" Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
A. None
B. II only
C. I and II only
D. I and III only
Answer: A
| null |
agi_eval_sat-math::retrieval:122
|
|
44 |
Question: $$f(x)=\frac{x+3}{2}$$For the function $f$ defined above, what is the value of $f(-1)$ ?
A. -2
B. -1
C. 1
D. 2
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: $$f(x)=\frac{x+3}{2}$$For the function $f$ defined above, what is the value of $f(-1)$ ?
A. -2
B. -1
C. 1
D. 2
Answer:
|
Question: $$f(x)=\frac{x+3}{2}$$For the function $f$ defined above, what is the value of $f(-1)$ ?
A. -2
B. -1
C. 1
D. 2
Answer:
|
Question: $$f(x)=\frac{x+3}{2}$$For the function $f$ defined above, what is the value of $f(-1)$ ?
A. -2
B. -1
C. 1
D. 2
Answer: C
| null |
agi_eval_sat-math::retrieval:44
|
|
135 |
Question: Which of the following is equivalent to $3(x+5)-6$ ?
A. $3 x-3$
B. $3 x-1$
C. $3 x+9$
D. $15 x-6$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: Which of the following is equivalent to $3(x+5)-6$ ?
A. $3 x-3$
B. $3 x-1$
C. $3 x+9$
D. $15 x-6$
Answer:
|
Question: Which of the following is equivalent to $3(x+5)-6$ ?
A. $3 x-3$
B. $3 x-1$
C. $3 x+9$
D. $15 x-6$
Answer:
|
Question: Which of the following is equivalent to $3(x+5)-6$ ?
A. $3 x-3$
B. $3 x-1$
C. $3 x+9$
D. $15 x-6$
Answer: C
| null |
agi_eval_sat-math::retrieval:135
|
|
0 |
Question: If $\frac{x-1}{3}=k$ and $k=3$, what is the value of $x ?$
A. 2
B. 4
C. 9
D. 10
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: If $\frac{x-1}{3}=k$ and $k=3$, what is the value of $x ?$
A. 2
B. 4
C. 9
D. 10
Answer:
|
Question: If $\frac{x-1}{3}=k$ and $k=3$, what is the value of $x ?$
A. 2
B. 4
C. 9
D. 10
Answer:
|
Question: If $\frac{x-1}{3}=k$ and $k=3$, what is the value of $x ?$
A. 2
B. 4
C. 9
D. 10
Answer: D
| null |
agi_eval_sat-math::retrieval:0
|
|
95 |
Question: In the $x y$-plane, the line determined by the points $(2, k)$ and $(k, 32)$ passes through the origin. Which of the following could be the value of $k$ ?
A. 0
B. 4
C. 8
D. 16
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: In the $x y$-plane, the line determined by the points $(2, k)$ and $(k, 32)$ passes through the origin. Which of the following could be the value of $k$ ?
A. 0
B. 4
C. 8
D. 16
Answer:
|
Question: In the $x y$-plane, the line determined by the points $(2, k)$ and $(k, 32)$ passes through the origin. Which of the following could be the value of $k$ ?
A. 0
B. 4
C. 8
D. 16
Answer:
|
Question: In the $x y$-plane, the line determined by the points $(2, k)$ and $(k, 32)$ passes through the origin. Which of the following could be the value of $k$ ?
A. 0
B. 4
C. 8
D. 16
Answer: C
| null |
agi_eval_sat-math::retrieval:95
|
|
96 |
Question: A rectangle was altered by increasing its length by 10 percent and decreasing its width by $p$ percent. If these alterations decreased the area of the rectangle by 12 percent, what is the value of $p$ ?
A. 12
B. 15
C. 20
D. 22
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: A rectangle was altered by increasing its length by 10 percent and decreasing its width by $p$ percent. If these alterations decreased the area of the rectangle by 12 percent, what is the value of $p$ ?
A. 12
B. 15
C. 20
D. 22
Answer:
|
Question: A rectangle was altered by increasing its length by 10 percent and decreasing its width by $p$ percent. If these alterations decreased the area of the rectangle by 12 percent, what is the value of $p$ ?
A. 12
B. 15
C. 20
D. 22
Answer:
|
Question: A rectangle was altered by increasing its length by 10 percent and decreasing its width by $p$ percent. If these alterations decreased the area of the rectangle by 12 percent, what is the value of $p$ ?
A. 12
B. 15
C. 20
D. 22
Answer: C
| null |
agi_eval_sat-math::retrieval:96
|
|
145 |
Question: Which of the following expressions is equivalent to $\frac{x^{2}-2 x-5}{x-3} ?$
A. $x-5-\frac{20}{x-3}$
B. $x-5-\frac{10}{x-3}$
C. $x+1-\frac{8}{x-3}$
D. $x+1-\frac{2}{x-3}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: Which of the following expressions is equivalent to $\frac{x^{2}-2 x-5}{x-3} ?$
A. $x-5-\frac{20}{x-3}$
B. $x-5-\frac{10}{x-3}$
C. $x+1-\frac{8}{x-3}$
D. $x+1-\frac{2}{x-3}$
Answer:
|
Question: Which of the following expressions is equivalent to $\frac{x^{2}-2 x-5}{x-3} ?$
A. $x-5-\frac{20}{x-3}$
B. $x-5-\frac{10}{x-3}$
C. $x+1-\frac{8}{x-3}$
D. $x+1-\frac{2}{x-3}$
Answer:
|
Question: Which of the following expressions is equivalent to $\frac{x^{2}-2 x-5}{x-3} ?$
A. $x-5-\frac{20}{x-3}$
B. $x-5-\frac{10}{x-3}$
C. $x+1-\frac{8}{x-3}$
D. $x+1-\frac{2}{x-3}$
Answer: D
| null |
agi_eval_sat-math::retrieval:145
|
|
59 |
Question: \begin{center}\begin{tabular}{|c|c|c|c|}\hline$x$ & $a$ & $3 a$ & $5 a$ \\\hline$y$ & 0 & $-a$ & $-2 a$ \\\hline\end{tabular}\end{center}Some values of $x$ and their corresponding values of $y$ are shown in the table above, where $a$ is a constant. If there is a linear relationship between $x$ and $y$, which of the following equations represents the relationship?
A. $x+2 y=a$
B. $x+2 y=5 a$
C. $2 x-y=-5 a$
D. $2 x-y=7 a$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: \begin{center}\begin{tabular}{|c|c|c|c|}\hline$x$ & $a$ & $3 a$ & $5 a$ \\\hline$y$ & 0 & $-a$ & $-2 a$ \\\hline\end{tabular}\end{center}Some values of $x$ and their corresponding values of $y$ are shown in the table above, where $a$ is a constant. If there is a linear relationship between $x$ and $y$, which of the following equations represents the relationship?
A. $x+2 y=a$
B. $x+2 y=5 a$
C. $2 x-y=-5 a$
D. $2 x-y=7 a$
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|c|c|}\hline$x$ & $a$ & $3 a$ & $5 a$ \\\hline$y$ & 0 & $-a$ & $-2 a$ \\\hline\end{tabular}\end{center}Some values of $x$ and their corresponding values of $y$ are shown in the table above, where $a$ is a constant. If there is a linear relationship between $x$ and $y$, which of the following equations represents the relationship?
A. $x+2 y=a$
B. $x+2 y=5 a$
C. $2 x-y=-5 a$
D. $2 x-y=7 a$
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|c|c|}\hline$x$ & $a$ & $3 a$ & $5 a$ \\\hline$y$ & 0 & $-a$ & $-2 a$ \\\hline\end{tabular}\end{center}Some values of $x$ and their corresponding values of $y$ are shown in the table above, where $a$ is a constant. If there is a linear relationship between $x$ and $y$, which of the following equations represents the relationship?
A. $x+2 y=a$
B. $x+2 y=5 a$
C. $2 x-y=-5 a$
D. $2 x-y=7 a$
Answer: A
| null |
agi_eval_sat-math::retrieval:59
|
|
16 |
Question: If $16+4 x$ is 10 more than 14 , what is the value of $8 x$ ?
A. 2
B. 6
C. 16
D. 80 5
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: If $16+4 x$ is 10 more than 14 , what is the value of $8 x$ ?
A. 2
B. 6
C. 16
D. 80 5
Answer:
|
Question: If $16+4 x$ is 10 more than 14 , what is the value of $8 x$ ?
A. 2
B. 6
C. 16
D. 80 5
Answer:
|
Question: If $16+4 x$ is 10 more than 14 , what is the value of $8 x$ ?
A. 2
B. 6
C. 16
D. 80 5
Answer: C
| null |
agi_eval_sat-math::retrieval:16
|
|
97 |
Question: In planning maintenance for a city's infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 10 percent every 20 years. If the present population of the city is 50,000, which of the following expressions represents the engineer's estimate of the population of the city $t$ years from now?
A. $50,000(0.1)^{20 t}$
B. $50,000(0.1)^{\frac{t}{20}}$
C. $50,000(0.9)^{20 t}$
D. $50,000(0.9)^{\frac{t}{20}}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: In planning maintenance for a city's infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 10 percent every 20 years. If the present population of the city is 50,000, which of the following expressions represents the engineer's estimate of the population of the city $t$ years from now?
A. $50,000(0.1)^{20 t}$
B. $50,000(0.1)^{\frac{t}{20}}$
C. $50,000(0.9)^{20 t}$
D. $50,000(0.9)^{\frac{t}{20}}$
Answer:
|
Question: In planning maintenance for a city's infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 10 percent every 20 years. If the present population of the city is 50,000, which of the following expressions represents the engineer's estimate of the population of the city $t$ years from now?
A. $50,000(0.1)^{20 t}$
B. $50,000(0.1)^{\frac{t}{20}}$
C. $50,000(0.9)^{20 t}$
D. $50,000(0.9)^{\frac{t}{20}}$
Answer:
|
Question: In planning maintenance for a city's infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 10 percent every 20 years. If the present population of the city is 50,000, which of the following expressions represents the engineer's estimate of the population of the city $t$ years from now?
A. $50,000(0.1)^{20 t}$
B. $50,000(0.1)^{\frac{t}{20}}$
C. $50,000(0.9)^{20 t}$
D. $50,000(0.9)^{\frac{t}{20}}$
Answer: D
| null |
agi_eval_sat-math::retrieval:97
|
|
102 |
Question: Which of the following is equivalent to the sum of the expressions $a^{2}-1$ and $a+1$ ?
A. $a^{2}+a$
B. $a^{3}-1$
C. $2 a^{2}$
D. $a^{3}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: Which of the following is equivalent to the sum of the expressions $a^{2}-1$ and $a+1$ ?
A. $a^{2}+a$
B. $a^{3}-1$
C. $2 a^{2}$
D. $a^{3}$
Answer:
|
Question: Which of the following is equivalent to the sum of the expressions $a^{2}-1$ and $a+1$ ?
A. $a^{2}+a$
B. $a^{3}-1$
C. $2 a^{2}$
D. $a^{3}$
Answer:
|
Question: Which of the following is equivalent to the sum of the expressions $a^{2}-1$ and $a+1$ ?
A. $a^{2}+a$
B. $a^{3}-1$
C. $2 a^{2}$
D. $a^{3}$
Answer: A
| null |
agi_eval_sat-math::retrieval:102
|
|
25 |
Question: A food truck sells salads for $\$ 6.50$ each and drinks for $\$ 2.00$ each. The food truck's revenue from selling a total of 209 salads and drinks in one day was $\$ 836.50$. How many salads were sold that day?
A. 77
B. 93
C. 99
D. 105
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: A food truck sells salads for $\$ 6.50$ each and drinks for $\$ 2.00$ each. The food truck's revenue from selling a total of 209 salads and drinks in one day was $\$ 836.50$. How many salads were sold that day?
A. 77
B. 93
C. 99
D. 105
Answer:
|
Question: A food truck sells salads for $\$ 6.50$ each and drinks for $\$ 2.00$ each. The food truck's revenue from selling a total of 209 salads and drinks in one day was $\$ 836.50$. How many salads were sold that day?
A. 77
B. 93
C. 99
D. 105
Answer:
|
Question: A food truck sells salads for $\$ 6.50$ each and drinks for $\$ 2.00$ each. The food truck's revenue from selling a total of 209 salads and drinks in one day was $\$ 836.50$. How many salads were sold that day?
A. 77
B. 93
C. 99
D. 105
Answer: B
| null |
agi_eval_sat-math::retrieval:25
|
|
11 |
Question: A line in the $x y$-plane passes through the origin and has a slope of $\frac{1}{7}$. Which of the following points lies on the line?
A. $(0,7)$
B. $(1,7)$
C. $(7,7)$
D. $(14,2)$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: A line in the $x y$-plane passes through the origin and has a slope of $\frac{1}{7}$. Which of the following points lies on the line?
A. $(0,7)$
B. $(1,7)$
C. $(7,7)$
D. $(14,2)$
Answer:
|
Question: A line in the $x y$-plane passes through the origin and has a slope of $\frac{1}{7}$. Which of the following points lies on the line?
A. $(0,7)$
B. $(1,7)$
C. $(7,7)$
D. $(14,2)$
Answer:
|
Question: A line in the $x y$-plane passes through the origin and has a slope of $\frac{1}{7}$. Which of the following points lies on the line?
A. $(0,7)$
B. $(1,7)$
C. $(7,7)$
D. $(14,2)$
Answer: D
| null |
agi_eval_sat-math::retrieval:11
|
|
30 |
Question: Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina's observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
A. 115
B. 120
C. 124
D. 173
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina's observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
A. 115
B. 120
C. 124
D. 173
Answer:
|
Question: Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina's observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
A. 115
B. 120
C. 124
D. 173
Answer:
|
Question: Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina's observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
A. 115
B. 120
C. 124
D. 173
Answer: B
| null |
agi_eval_sat-math::retrieval:30
|
|
196 |
Question: $$\frac{x}{x-3}=\frac{2 x}{2}$$Which of the following represents all the possible values of $x$ that satisfy the equation above?
A. 0 and 2
B. 0 and 4
C. -4 and 4
D. 4
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: $$\frac{x}{x-3}=\frac{2 x}{2}$$Which of the following represents all the possible values of $x$ that satisfy the equation above?
A. 0 and 2
B. 0 and 4
C. -4 and 4
D. 4
Answer:
|
Question: $$\frac{x}{x-3}=\frac{2 x}{2}$$Which of the following represents all the possible values of $x$ that satisfy the equation above?
A. 0 and 2
B. 0 and 4
C. -4 and 4
D. 4
Answer:
|
Question: $$\frac{x}{x-3}=\frac{2 x}{2}$$Which of the following represents all the possible values of $x$ that satisfy the equation above?
A. 0 and 2
B. 0 and 4
C. -4 and 4
D. 4
Answer: B
| null |
agi_eval_sat-math::retrieval:196
|
|
54 |
Question: Survey Results\begin{center}\begin{tabular}{|l|c|}\hlineAnswer & Percent \\\hlineNever & $31.3 \%$ \\\hlineRarely & $24.3 \%$ \\\hlineOften & $13.5 \%$ \\\hlineAlways & $30.9 \%$ \\\hline\end{tabular}\end{center}The table above shows the results of a survey in which tablet users were asked how often they would watch video advertisements in order to access streaming content for free. Based on the table, which of the following is closest to the probability that a tablet user answered "Always," given that the tablet user did not answer "Never"?
A. 0.31
B. 0.38
C. 0.45
D. 0.69
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: Survey Results\begin{center}\begin{tabular}{|l|c|}\hlineAnswer & Percent \\\hlineNever & $31.3 \%$ \\\hlineRarely & $24.3 \%$ \\\hlineOften & $13.5 \%$ \\\hlineAlways & $30.9 \%$ \\\hline\end{tabular}\end{center}The table above shows the results of a survey in which tablet users were asked how often they would watch video advertisements in order to access streaming content for free. Based on the table, which of the following is closest to the probability that a tablet user answered "Always," given that the tablet user did not answer "Never"?
A. 0.31
B. 0.38
C. 0.45
D. 0.69
Answer:
|
Question: Survey Results\begin{center}\begin{tabular}{|l|c|}\hlineAnswer & Percent \\\hlineNever & $31.3 \%$ \\\hlineRarely & $24.3 \%$ \\\hlineOften & $13.5 \%$ \\\hlineAlways & $30.9 \%$ \\\hline\end{tabular}\end{center}The table above shows the results of a survey in which tablet users were asked how often they would watch video advertisements in order to access streaming content for free. Based on the table, which of the following is closest to the probability that a tablet user answered "Always," given that the tablet user did not answer "Never"?
A. 0.31
B. 0.38
C. 0.45
D. 0.69
Answer:
|
Question: Survey Results\begin{center}\begin{tabular}{|l|c|}\hlineAnswer & Percent \\\hlineNever & $31.3 \%$ \\\hlineRarely & $24.3 \%$ \\\hlineOften & $13.5 \%$ \\\hlineAlways & $30.9 \%$ \\\hline\end{tabular}\end{center}The table above shows the results of a survey in which tablet users were asked how often they would watch video advertisements in order to access streaming content for free. Based on the table, which of the following is closest to the probability that a tablet user answered "Always," given that the tablet user did not answer "Never"?
A. 0.31
B. 0.38
C. 0.45
D. 0.69
Answer: C
| null |
agi_eval_sat-math::retrieval:54
|
|
210 |
Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is $\frac{3}{4}$ cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is $5 \%$ of the daily allowance for adults.
Question: If $p$ percent of an adult's daily allowance of potassium is provided by $x$ servings of Crunchy Grain cereal per day, which of the following expresses $p$ in terms of $x$ ?
A. $p=0.5 x$
B. $p=5 x$
C. $p=(0.05)^{x}$
D. $p=(1.05)^{x}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is $\frac{3}{4}$ cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is $5 \%$ of the daily allowance for adults.
Question: If $p$ percent of an adult's daily allowance of potassium is provided by $x$ servings of Crunchy Grain cereal per day, which of the following expresses $p$ in terms of $x$ ?
A. $p=0.5 x$
B. $p=5 x$
C. $p=(0.05)^{x}$
D. $p=(1.05)^{x}$
Answer:
|
Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is $\frac{3}{4}$ cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is $5 \%$ of the daily allowance for adults.
Question: If $p$ percent of an adult's daily allowance of potassium is provided by $x$ servings of Crunchy Grain cereal per day, which of the following expresses $p$ in terms of $x$ ?
A. $p=0.5 x$
B. $p=5 x$
C. $p=(0.05)^{x}$
D. $p=(1.05)^{x}$
Answer:
|
Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is $\frac{3}{4}$ cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is $5 \%$ of the daily allowance for adults.
Question: If $p$ percent of an adult's daily allowance of potassium is provided by $x$ servings of Crunchy Grain cereal per day, which of the following expresses $p$ in terms of $x$ ?
A. $p=0.5 x$
B. $p=5 x$
C. $p=(0.05)^{x}$
D. $p=(1.05)^{x}$
Answer: B
| null |
agi_eval_sat-math::retrieval:210
|
|
204 |
Question: Biologists found a new species of pale shrimp at the world's deepest undersea vent, the Beebe Vent Field. The vent is 3.1 miles below the sea's surface.Approximately how many kilometers below the sea's surface is the vent? ( 1 kilometer $\approx 0.6214$ miles)
A. 2
B. 3
C. 4
D. 5
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: Biologists found a new species of pale shrimp at the world's deepest undersea vent, the Beebe Vent Field. The vent is 3.1 miles below the sea's surface.Approximately how many kilometers below the sea's surface is the vent? ( 1 kilometer $\approx 0.6214$ miles)
A. 2
B. 3
C. 4
D. 5
Answer:
|
Question: Biologists found a new species of pale shrimp at the world's deepest undersea vent, the Beebe Vent Field. The vent is 3.1 miles below the sea's surface.Approximately how many kilometers below the sea's surface is the vent? ( 1 kilometer $\approx 0.6214$ miles)
A. 2
B. 3
C. 4
D. 5
Answer:
|
Question: Biologists found a new species of pale shrimp at the world's deepest undersea vent, the Beebe Vent Field. The vent is 3.1 miles below the sea's surface.Approximately how many kilometers below the sea's surface is the vent? ( 1 kilometer $\approx 0.6214$ miles)
A. 2
B. 3
C. 4
D. 5
Answer: D
| null |
agi_eval_sat-math::retrieval:204
|
|
105 |
Question: If $a^{2}+b^{2}=z$ and $a b=y$, which of the following is equivalent to $4 z+8 y$ ?
A. $(a+2 b)^{2}$
B. $(2 a+2 b)^{2}$
C. $(4 a+4 b)^{2}$
D. $(4 a+8 b)^{2}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: If $a^{2}+b^{2}=z$ and $a b=y$, which of the following is equivalent to $4 z+8 y$ ?
A. $(a+2 b)^{2}$
B. $(2 a+2 b)^{2}$
C. $(4 a+4 b)^{2}$
D. $(4 a+8 b)^{2}$
Answer:
|
Question: If $a^{2}+b^{2}=z$ and $a b=y$, which of the following is equivalent to $4 z+8 y$ ?
A. $(a+2 b)^{2}$
B. $(2 a+2 b)^{2}$
C. $(4 a+4 b)^{2}$
D. $(4 a+8 b)^{2}$
Answer:
|
Question: If $a^{2}+b^{2}=z$ and $a b=y$, which of the following is equivalent to $4 z+8 y$ ?
A. $(a+2 b)^{2}$
B. $(2 a+2 b)^{2}$
C. $(4 a+4 b)^{2}$
D. $(4 a+8 b)^{2}$
Answer: B
| null |
agi_eval_sat-math::retrieval:105
|
|
12 |
Question: If $x>3$, which of the following is equivalent to $\frac{1}{\frac{1}{x+2}+\frac{1}{x+3}}$ ?
A. $\frac{2 x+5}{x^{2}+5 x+6}$
B. $\frac{x^{2}+5 x+6}{2 x+5}$
C. $2 x+5$
D. $x^{2}+5 x+6$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: If $x>3$, which of the following is equivalent to $\frac{1}{\frac{1}{x+2}+\frac{1}{x+3}}$ ?
A. $\frac{2 x+5}{x^{2}+5 x+6}$
B. $\frac{x^{2}+5 x+6}{2 x+5}$
C. $2 x+5$
D. $x^{2}+5 x+6$
Answer:
|
Question: If $x>3$, which of the following is equivalent to $\frac{1}{\frac{1}{x+2}+\frac{1}{x+3}}$ ?
A. $\frac{2 x+5}{x^{2}+5 x+6}$
B. $\frac{x^{2}+5 x+6}{2 x+5}$
C. $2 x+5$
D. $x^{2}+5 x+6$
Answer:
|
Question: If $x>3$, which of the following is equivalent to $\frac{1}{\frac{1}{x+2}+\frac{1}{x+3}}$ ?
A. $\frac{2 x+5}{x^{2}+5 x+6}$
B. $\frac{x^{2}+5 x+6}{2 x+5}$
C. $2 x+5$
D. $x^{2}+5 x+6$
Answer: B
| null |
agi_eval_sat-math::retrieval:12
|
|
156 |
Question: A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, $s$, and collector's edition games, $c$, that were ordered?
A. $75-s=c$ $20 s+30 c=1,870$
B. $75-s=c$ $30 s+20 c=1,870$
C. $\quad s-c=75$ $25(s+c)=1,870$
D. $\quad s-c=75$ $30 s+20 c=1,870$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, $s$, and collector's edition games, $c$, that were ordered?
A. $75-s=c$ $20 s+30 c=1,870$
B. $75-s=c$ $30 s+20 c=1,870$
C. $\quad s-c=75$ $25(s+c)=1,870$
D. $\quad s-c=75$ $30 s+20 c=1,870$
Answer:
|
Question: A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, $s$, and collector's edition games, $c$, that were ordered?
A. $75-s=c$ $20 s+30 c=1,870$
B. $75-s=c$ $30 s+20 c=1,870$
C. $\quad s-c=75$ $25(s+c)=1,870$
D. $\quad s-c=75$ $30 s+20 c=1,870$
Answer:
|
Question: A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, $s$, and collector's edition games, $c$, that were ordered?
A. $75-s=c$ $20 s+30 c=1,870$
B. $75-s=c$ $30 s+20 c=1,870$
C. $\quad s-c=75$ $25(s+c)=1,870$
D. $\quad s-c=75$ $30 s+20 c=1,870$
Answer: A
| null |
agi_eval_sat-math::retrieval:156
|
|
7 |
Question: If $\frac{a}{b}=2$, what is the value of $\frac{4 b}{a} ?$
A. 0
B. 1
C. 2
D. 4
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: If $\frac{a}{b}=2$, what is the value of $\frac{4 b}{a} ?$
A. 0
B. 1
C. 2
D. 4
Answer:
|
Question: If $\frac{a}{b}=2$, what is the value of $\frac{4 b}{a} ?$
A. 0
B. 1
C. 2
D. 4
Answer:
|
Question: If $\frac{a}{b}=2$, what is the value of $\frac{4 b}{a} ?$
A. 0
B. 1
C. 2
D. 4
Answer: C
| null |
agi_eval_sat-math::retrieval:7
|
|
141 |
Question: Ken is working this summer as part of a crew on a farm. He earned $\$ 8$ per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $\$ 10$ per hour for the rest of the week. Ken saves $90 \%$ of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $\$ 270$ for the week?
A. 38
B. 33
C. 22
D. 16
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: Ken is working this summer as part of a crew on a farm. He earned $\$ 8$ per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $\$ 10$ per hour for the rest of the week. Ken saves $90 \%$ of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $\$ 270$ for the week?
A. 38
B. 33
C. 22
D. 16
Answer:
|
Question: Ken is working this summer as part of a crew on a farm. He earned $\$ 8$ per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $\$ 10$ per hour for the rest of the week. Ken saves $90 \%$ of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $\$ 270$ for the week?
A. 38
B. 33
C. 22
D. 16
Answer:
|
Question: Ken is working this summer as part of a crew on a farm. He earned $\$ 8$ per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $\$ 10$ per hour for the rest of the week. Ken saves $90 \%$ of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $\$ 270$ for the week?
A. 38
B. 33
C. 22
D. 16
Answer: C
| null |
agi_eval_sat-math::retrieval:141
|
|
130 |
Question: The surface area of a cube is $6\left(\frac{a}{4}\right)^{2}$, where $a$ is a positive constant. Which of the following gives the perimeter of one face of the cube?
A. $\frac{a}{4}$
B. $a$
C. $4 a$
D. $6 a$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: The surface area of a cube is $6\left(\frac{a}{4}\right)^{2}$, where $a$ is a positive constant. Which of the following gives the perimeter of one face of the cube?
A. $\frac{a}{4}$
B. $a$
C. $4 a$
D. $6 a$
Answer:
|
Question: The surface area of a cube is $6\left(\frac{a}{4}\right)^{2}$, where $a$ is a positive constant. Which of the following gives the perimeter of one face of the cube?
A. $\frac{a}{4}$
B. $a$
C. $4 a$
D. $6 a$
Answer:
|
Question: The surface area of a cube is $6\left(\frac{a}{4}\right)^{2}$, where $a$ is a positive constant. Which of the following gives the perimeter of one face of the cube?
A. $\frac{a}{4}$
B. $a$
C. $4 a$
D. $6 a$
Answer: B
| null |
agi_eval_sat-math::retrieval:130
|
|
17 |
Question: $$\begin{aligned}1 \text { decagram } & =10 \text { grams } \\1,000 \text { milligrams } & =1 \text { gram }\end{aligned}$$A hospital stores one type of medicine in 2-decagram containers. Based on the information given in the box above, how many 1-milligram doses are there in one 2-decagram container?
A. $\quad 0.002$
B. $\quad 200$
C. $\quad 2,000$
D. 20,000
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: $$\begin{aligned}1 \text { decagram } & =10 \text { grams } \\1,000 \text { milligrams } & =1 \text { gram }\end{aligned}$$A hospital stores one type of medicine in 2-decagram containers. Based on the information given in the box above, how many 1-milligram doses are there in one 2-decagram container?
A. $\quad 0.002$
B. $\quad 200$
C. $\quad 2,000$
D. 20,000
Answer:
|
Question: $$\begin{aligned}1 \text { decagram } & =10 \text { grams } \\1,000 \text { milligrams } & =1 \text { gram }\end{aligned}$$A hospital stores one type of medicine in 2-decagram containers. Based on the information given in the box above, how many 1-milligram doses are there in one 2-decagram container?
A. $\quad 0.002$
B. $\quad 200$
C. $\quad 2,000$
D. 20,000
Answer:
|
Question: $$\begin{aligned}1 \text { decagram } & =10 \text { grams } \\1,000 \text { milligrams } & =1 \text { gram }\end{aligned}$$A hospital stores one type of medicine in 2-decagram containers. Based on the information given in the box above, how many 1-milligram doses are there in one 2-decagram container?
A. $\quad 0.002$
B. $\quad 200$
C. $\quad 2,000$
D. 20,000
Answer: D
| null |
agi_eval_sat-math::retrieval:17
|
|
49 |
Question: \begin{center}\begin{tabular}{|c|c|c|c|c|c|c|}\hlineList A & 1 & 2 & 3 & 4 & 5 & 6 \\\hlineList B & 2 & 3 & 3 & 4 & 4 & 5 \\\hline\end{tabular}\end{center}The table above shows two lists of numbers. Which of the following is a true statement comparing list $\mathrm{A}$ and list B ?
A. The means are the same, and the standard deviations are different.
B. The means are the same, and the standard deviations are the same.
C. The means are different, and the standard deviations are different.
D. The means are different, and the standard deviations are the same.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: \begin{center}\begin{tabular}{|c|c|c|c|c|c|c|}\hlineList A & 1 & 2 & 3 & 4 & 5 & 6 \\\hlineList B & 2 & 3 & 3 & 4 & 4 & 5 \\\hline\end{tabular}\end{center}The table above shows two lists of numbers. Which of the following is a true statement comparing list $\mathrm{A}$ and list B ?
A. The means are the same, and the standard deviations are different.
B. The means are the same, and the standard deviations are the same.
C. The means are different, and the standard deviations are different.
D. The means are different, and the standard deviations are the same.
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|c|c|c|c|c|}\hlineList A & 1 & 2 & 3 & 4 & 5 & 6 \\\hlineList B & 2 & 3 & 3 & 4 & 4 & 5 \\\hline\end{tabular}\end{center}The table above shows two lists of numbers. Which of the following is a true statement comparing list $\mathrm{A}$ and list B ?
A. The means are the same, and the standard deviations are different.
B. The means are the same, and the standard deviations are the same.
C. The means are different, and the standard deviations are different.
D. The means are different, and the standard deviations are the same.
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|c|c|c|c|c|}\hlineList A & 1 & 2 & 3 & 4 & 5 & 6 \\\hlineList B & 2 & 3 & 3 & 4 & 4 & 5 \\\hline\end{tabular}\end{center}The table above shows two lists of numbers. Which of the following is a true statement comparing list $\mathrm{A}$ and list B ?
A. The means are the same, and the standard deviations are different.
B. The means are the same, and the standard deviations are the same.
C. The means are different, and the standard deviations are different.
D. The means are different, and the standard deviations are the same.
Answer: A
| null |
agi_eval_sat-math::retrieval:49
|
|
48 |
Question: A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher estimated that $23 \%$ of the students in the population saw a movie at least once per month. The margin of error for this estimation is $4 \%$. Which of the following is the most appropriate conclusion about all students at the university, based on the given estimate and margin of error?
A. It is unlikely that less than $23 \%$ of the students see a movie at least once per month.
B. At least 23\%, but no more than $25 \%$, of the students see a movie at least once per month.
C. The researcher is between $19 \%$ and $27 \%$ sure that most students see a movie at least once per month.
D. It is plausible that the percentage of students who see a movie at least once per month is between $19 \%$ and $27 \%$.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher estimated that $23 \%$ of the students in the population saw a movie at least once per month. The margin of error for this estimation is $4 \%$. Which of the following is the most appropriate conclusion about all students at the university, based on the given estimate and margin of error?
A. It is unlikely that less than $23 \%$ of the students see a movie at least once per month.
B. At least 23\%, but no more than $25 \%$, of the students see a movie at least once per month.
C. The researcher is between $19 \%$ and $27 \%$ sure that most students see a movie at least once per month.
D. It is plausible that the percentage of students who see a movie at least once per month is between $19 \%$ and $27 \%$.
Answer:
|
Question: A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher estimated that $23 \%$ of the students in the population saw a movie at least once per month. The margin of error for this estimation is $4 \%$. Which of the following is the most appropriate conclusion about all students at the university, based on the given estimate and margin of error?
A. It is unlikely that less than $23 \%$ of the students see a movie at least once per month.
B. At least 23\%, but no more than $25 \%$, of the students see a movie at least once per month.
C. The researcher is between $19 \%$ and $27 \%$ sure that most students see a movie at least once per month.
D. It is plausible that the percentage of students who see a movie at least once per month is between $19 \%$ and $27 \%$.
Answer:
|
Question: A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher estimated that $23 \%$ of the students in the population saw a movie at least once per month. The margin of error for this estimation is $4 \%$. Which of the following is the most appropriate conclusion about all students at the university, based on the given estimate and margin of error?
A. It is unlikely that less than $23 \%$ of the students see a movie at least once per month.
B. At least 23\%, but no more than $25 \%$, of the students see a movie at least once per month.
C. The researcher is between $19 \%$ and $27 \%$ sure that most students see a movie at least once per month.
D. It is plausible that the percentage of students who see a movie at least once per month is between $19 \%$ and $27 \%$.
Answer: D
| null |
agi_eval_sat-math::retrieval:48
|
|
6 |
Question: $$m=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1,200}\right)^{N}-1} P$$The formula above gives the monthly payment $m$ needed to pay off a loan of $P$ dollars at $r$ percent annual interest over $N$ months. Which of the following gives $P$ in terms of $m, r$, and $N$ ?
A. $P=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1,200}\right)^{N}-1} m$
B. $P=\frac{\left(1+\frac{r}{1,200}\right)^{N}-1}{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}} m$
C. $P=\left(\frac{r}{1,200}\right) m$
D. $P=\left(\frac{1,200}{r}\right) m$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: $$m=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1,200}\right)^{N}-1} P$$The formula above gives the monthly payment $m$ needed to pay off a loan of $P$ dollars at $r$ percent annual interest over $N$ months. Which of the following gives $P$ in terms of $m, r$, and $N$ ?
A. $P=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1,200}\right)^{N}-1} m$
B. $P=\frac{\left(1+\frac{r}{1,200}\right)^{N}-1}{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}} m$
C. $P=\left(\frac{r}{1,200}\right) m$
D. $P=\left(\frac{1,200}{r}\right) m$
Answer:
|
Question: $$m=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1,200}\right)^{N}-1} P$$The formula above gives the monthly payment $m$ needed to pay off a loan of $P$ dollars at $r$ percent annual interest over $N$ months. Which of the following gives $P$ in terms of $m, r$, and $N$ ?
A. $P=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1,200}\right)^{N}-1} m$
B. $P=\frac{\left(1+\frac{r}{1,200}\right)^{N}-1}{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}} m$
C. $P=\left(\frac{r}{1,200}\right) m$
D. $P=\left(\frac{1,200}{r}\right) m$
Answer:
|
Question: $$m=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1,200}\right)^{N}-1} P$$The formula above gives the monthly payment $m$ needed to pay off a loan of $P$ dollars at $r$ percent annual interest over $N$ months. Which of the following gives $P$ in terms of $m, r$, and $N$ ?
A. $P=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1,200}\right)^{N}-1} m$
B. $P=\frac{\left(1+\frac{r}{1,200}\right)^{N}-1}{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}} m$
C. $P=\left(\frac{r}{1,200}\right) m$
D. $P=\left(\frac{1,200}{r}\right) m$
Answer: B
| null |
agi_eval_sat-math::retrieval:6
|
|
181 |
Question: $$\begin{aligned}& g(x)=2 x-1 \\& h(x)=1-g(x)\end{aligned}$$The functions $g$ and $h$ are defined above. What is the value of $h(0)$ ?
A. -2
B. 0
C. 1
D. 2
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: $$\begin{aligned}& g(x)=2 x-1 \\& h(x)=1-g(x)\end{aligned}$$The functions $g$ and $h$ are defined above. What is the value of $h(0)$ ?
A. -2
B. 0
C. 1
D. 2
Answer:
|
Question: $$\begin{aligned}& g(x)=2 x-1 \\& h(x)=1-g(x)\end{aligned}$$The functions $g$ and $h$ are defined above. What is the value of $h(0)$ ?
A. -2
B. 0
C. 1
D. 2
Answer:
|
Question: $$\begin{aligned}& g(x)=2 x-1 \\& h(x)=1-g(x)\end{aligned}$$The functions $g$ and $h$ are defined above. What is the value of $h(0)$ ?
A. -2
B. 0
C. 1
D. 2
Answer: D
| null |
agi_eval_sat-math::retrieval:181
|
|
58 |
Question: The first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If $f(n)$ is the number of people invited to the fund-raiser $n$ years after Eleanor began organizing the event, which of the following statements best describes the function $f$ ?
A. The function $f$ is a decreasing linear function.
B. The function $f$ is an increasing linear function.
C. The function $f$ is a decreasing exponential function.
D. The function $f$ is an increasing exponential function.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: The first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If $f(n)$ is the number of people invited to the fund-raiser $n$ years after Eleanor began organizing the event, which of the following statements best describes the function $f$ ?
A. The function $f$ is a decreasing linear function.
B. The function $f$ is an increasing linear function.
C. The function $f$ is a decreasing exponential function.
D. The function $f$ is an increasing exponential function.
Answer:
|
Question: The first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If $f(n)$ is the number of people invited to the fund-raiser $n$ years after Eleanor began organizing the event, which of the following statements best describes the function $f$ ?
A. The function $f$ is a decreasing linear function.
B. The function $f$ is an increasing linear function.
C. The function $f$ is a decreasing exponential function.
D. The function $f$ is an increasing exponential function.
Answer:
|
Question: The first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If $f(n)$ is the number of people invited to the fund-raiser $n$ years after Eleanor began organizing the event, which of the following statements best describes the function $f$ ?
A. The function $f$ is a decreasing linear function.
B. The function $f$ is an increasing linear function.
C. The function $f$ is a decreasing exponential function.
D. The function $f$ is an increasing exponential function.
Answer: D
| null |
agi_eval_sat-math::retrieval:58
|
|
163 |
Question: Percent of Residents Who Earned a Bachelor's Degree or Higher\begin{center}\begin{tabular}{|c|c|}\hlineState & Percent of residents \\\hlineState A & $21.9 \%$ \\\hlineState B & $27.9 \%$ \\\hlineState C & $25.9 \%$ \\\hlineState D & $19.5 \%$ \\\hlineState E & $30.1 \%$ \\\hlineState F & $36.4 \%$ \\\hlineState G & $35.5 \%$ \\\hline\end{tabular}\end{center}A survey was given to residents of all 50 states asking if they had earned a bachelor's degree or higher.The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was $26.95 \%$. What is the difference between the median percent of residents who earned a bachelor's degree or higher for these 7 states and the median for all 50 states?
A. $0.05 \%$
B. $0.95 \%$
C. $1.22 \%$
D. $7.45 \%$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: Percent of Residents Who Earned a Bachelor's Degree or Higher\begin{center}\begin{tabular}{|c|c|}\hlineState & Percent of residents \\\hlineState A & $21.9 \%$ \\\hlineState B & $27.9 \%$ \\\hlineState C & $25.9 \%$ \\\hlineState D & $19.5 \%$ \\\hlineState E & $30.1 \%$ \\\hlineState F & $36.4 \%$ \\\hlineState G & $35.5 \%$ \\\hline\end{tabular}\end{center}A survey was given to residents of all 50 states asking if they had earned a bachelor's degree or higher.The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was $26.95 \%$. What is the difference between the median percent of residents who earned a bachelor's degree or higher for these 7 states and the median for all 50 states?
A. $0.05 \%$
B. $0.95 \%$
C. $1.22 \%$
D. $7.45 \%$
Answer:
|
Question: Percent of Residents Who Earned a Bachelor's Degree or Higher\begin{center}\begin{tabular}{|c|c|}\hlineState & Percent of residents \\\hlineState A & $21.9 \%$ \\\hlineState B & $27.9 \%$ \\\hlineState C & $25.9 \%$ \\\hlineState D & $19.5 \%$ \\\hlineState E & $30.1 \%$ \\\hlineState F & $36.4 \%$ \\\hlineState G & $35.5 \%$ \\\hline\end{tabular}\end{center}A survey was given to residents of all 50 states asking if they had earned a bachelor's degree or higher.The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was $26.95 \%$. What is the difference between the median percent of residents who earned a bachelor's degree or higher for these 7 states and the median for all 50 states?
A. $0.05 \%$
B. $0.95 \%$
C. $1.22 \%$
D. $7.45 \%$
Answer:
|
Question: Percent of Residents Who Earned a Bachelor's Degree or Higher\begin{center}\begin{tabular}{|c|c|}\hlineState & Percent of residents \\\hlineState A & $21.9 \%$ \\\hlineState B & $27.9 \%$ \\\hlineState C & $25.9 \%$ \\\hlineState D & $19.5 \%$ \\\hlineState E & $30.1 \%$ \\\hlineState F & $36.4 \%$ \\\hlineState G & $35.5 \%$ \\\hline\end{tabular}\end{center}A survey was given to residents of all 50 states asking if they had earned a bachelor's degree or higher.The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was $26.95 \%$. What is the difference between the median percent of residents who earned a bachelor's degree or higher for these 7 states and the median for all 50 states?
A. $0.05 \%$
B. $0.95 \%$
C. $1.22 \%$
D. $7.45 \%$
Answer: B
| null |
agi_eval_sat-math::retrieval:163
|
|
101 |
Question: $$\sqrt{k+2}-x=0$$In the equation above, $k$ is a constant. If $x=9$, what is the value of $k$ ?
A. 1
B. 7
C. 16
D. 79
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: $$\sqrt{k+2}-x=0$$In the equation above, $k$ is a constant. If $x=9$, what is the value of $k$ ?
A. 1
B. 7
C. 16
D. 79
Answer:
|
Question: $$\sqrt{k+2}-x=0$$In the equation above, $k$ is a constant. If $x=9$, what is the value of $k$ ?
A. 1
B. 7
C. 16
D. 79
Answer:
|
Question: $$\sqrt{k+2}-x=0$$In the equation above, $k$ is a constant. If $x=9$, what is the value of $k$ ?
A. 1
B. 7
C. 16
D. 79
Answer: D
| null |
agi_eval_sat-math::retrieval:101
|
|
117 |
Question: The density $d$ of an object is found by dividing the mass $m$ of the object by its volume $V$. Which of the following equations gives the mass $m$ in terms of $d$ and $V$ ?
A. $m=d V$
B. $m=\frac{d}{V}$
C. $m=\frac{V}{d}$
D. $m=V+d$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: The density $d$ of an object is found by dividing the mass $m$ of the object by its volume $V$. Which of the following equations gives the mass $m$ in terms of $d$ and $V$ ?
A. $m=d V$
B. $m=\frac{d}{V}$
C. $m=\frac{V}{d}$
D. $m=V+d$
Answer:
|
Question: The density $d$ of an object is found by dividing the mass $m$ of the object by its volume $V$. Which of the following equations gives the mass $m$ in terms of $d$ and $V$ ?
A. $m=d V$
B. $m=\frac{d}{V}$
C. $m=\frac{V}{d}$
D. $m=V+d$
Answer:
|
Question: The density $d$ of an object is found by dividing the mass $m$ of the object by its volume $V$. Which of the following equations gives the mass $m$ in terms of $d$ and $V$ ?
A. $m=d V$
B. $m=\frac{d}{V}$
C. $m=\frac{V}{d}$
D. $m=V+d$
Answer: A
| null |
agi_eval_sat-math::retrieval:117
|
|
90 |
$$.\begin{aligned}.& S(P)=\frac{1}{2} P+40 \\.& D(P)=220-P.\end{aligned}.$$.The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function $S(P)$ gives the quantity of the product supplied to the market when the price is $P$ dollars, and the function $D(P)$ gives the quantity of the product demanded by the market when the price is $P$ dollars.
Question: At what price will the quantity of the product supplied to the market equal the quantity of the product demanded by the market?
A. $\$ 90$
B. $\$ 120$
C. $\$ 133$
D. $\$ 155$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
$$.\begin{aligned}.& S(P)=\frac{1}{2} P+40 \\.& D(P)=220-P.\end{aligned}.$$.The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function $S(P)$ gives the quantity of the product supplied to the market when the price is $P$ dollars, and the function $D(P)$ gives the quantity of the product demanded by the market when the price is $P$ dollars.
Question: At what price will the quantity of the product supplied to the market equal the quantity of the product demanded by the market?
A. $\$ 90$
B. $\$ 120$
C. $\$ 133$
D. $\$ 155$
Answer:
|
$$.\begin{aligned}.& S(P)=\frac{1}{2} P+40 \\.& D(P)=220-P.\end{aligned}.$$.The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function $S(P)$ gives the quantity of the product supplied to the market when the price is $P$ dollars, and the function $D(P)$ gives the quantity of the product demanded by the market when the price is $P$ dollars.
Question: At what price will the quantity of the product supplied to the market equal the quantity of the product demanded by the market?
A. $\$ 90$
B. $\$ 120$
C. $\$ 133$
D. $\$ 155$
Answer:
|
$$.\begin{aligned}.& S(P)=\frac{1}{2} P+40 \\.& D(P)=220-P.\end{aligned}.$$.The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function $S(P)$ gives the quantity of the product supplied to the market when the price is $P$ dollars, and the function $D(P)$ gives the quantity of the product demanded by the market when the price is $P$ dollars.
Question: At what price will the quantity of the product supplied to the market equal the quantity of the product demanded by the market?
A. $\$ 90$
B. $\$ 120$
C. $\$ 133$
D. $\$ 155$
Answer: B
| null |
agi_eval_sat-math::retrieval:90
|
|
133 |
Question: $$y=x^{2}-a$$In the equation above, $a$ is a positive constant and the graph of the equation in the $x y$-plane is a parabola. Which of the following is an equivalent form of the equation?
A. $y=(x+a)(x-a)$
B. $y=(x+\sqrt{a})(x-\sqrt{a})$
C. $y=\left(x+\frac{a}{2}\right)\left(x-\frac{a}{2}\right)$
D. $y=(x+a)^{2}$ DIRECTIONS
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: $$y=x^{2}-a$$In the equation above, $a$ is a positive constant and the graph of the equation in the $x y$-plane is a parabola. Which of the following is an equivalent form of the equation?
A. $y=(x+a)(x-a)$
B. $y=(x+\sqrt{a})(x-\sqrt{a})$
C. $y=\left(x+\frac{a}{2}\right)\left(x-\frac{a}{2}\right)$
D. $y=(x+a)^{2}$ DIRECTIONS
Answer:
|
Question: $$y=x^{2}-a$$In the equation above, $a$ is a positive constant and the graph of the equation in the $x y$-plane is a parabola. Which of the following is an equivalent form of the equation?
A. $y=(x+a)(x-a)$
B. $y=(x+\sqrt{a})(x-\sqrt{a})$
C. $y=\left(x+\frac{a}{2}\right)\left(x-\frac{a}{2}\right)$
D. $y=(x+a)^{2}$ DIRECTIONS
Answer:
|
Question: $$y=x^{2}-a$$In the equation above, $a$ is a positive constant and the graph of the equation in the $x y$-plane is a parabola. Which of the following is an equivalent form of the equation?
A. $y=(x+a)(x-a)$
B. $y=(x+\sqrt{a})(x-\sqrt{a})$
C. $y=\left(x+\frac{a}{2}\right)\left(x-\frac{a}{2}\right)$
D. $y=(x+a)^{2}$ DIRECTIONS
Answer: B
| null |
agi_eval_sat-math::retrieval:133
|
|
194 |
Question: $$2 a x-15=3(x+5)+5(x-1)$$In the equation above, $a$ is a constant. If no value of $x$ satisfies the equation, what is the value of $a$ ?
A. 1
B. 2
C. 4
D. 8
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: $$2 a x-15=3(x+5)+5(x-1)$$In the equation above, $a$ is a constant. If no value of $x$ satisfies the equation, what is the value of $a$ ?
A. 1
B. 2
C. 4
D. 8
Answer:
|
Question: $$2 a x-15=3(x+5)+5(x-1)$$In the equation above, $a$ is a constant. If no value of $x$ satisfies the equation, what is the value of $a$ ?
A. 1
B. 2
C. 4
D. 8
Answer:
|
Question: $$2 a x-15=3(x+5)+5(x-1)$$In the equation above, $a$ is a constant. If no value of $x$ satisfies the equation, what is the value of $a$ ?
A. 1
B. 2
C. 4
D. 8
Answer: C
| null |
agi_eval_sat-math::retrieval:194
|
|
152 |
Question: Which of the following ordered pairs $(x, y)$ satisfies the inequality $5 x-3 y<4$ ?I. $(1,1)$II. $(2,5)$III. $(3,2)$
A. I only
B. II only
C. I and II only
D. I and III only
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: Which of the following ordered pairs $(x, y)$ satisfies the inequality $5 x-3 y<4$ ?I. $(1,1)$II. $(2,5)$III. $(3,2)$
A. I only
B. II only
C. I and II only
D. I and III only
Answer:
|
Question: Which of the following ordered pairs $(x, y)$ satisfies the inequality $5 x-3 y<4$ ?I. $(1,1)$II. $(2,5)$III. $(3,2)$
A. I only
B. II only
C. I and II only
D. I and III only
Answer:
|
Question: Which of the following ordered pairs $(x, y)$ satisfies the inequality $5 x-3 y<4$ ?I. $(1,1)$II. $(2,5)$III. $(3,2)$
A. I only
B. II only
C. I and II only
D. I and III only
Answer: C
| null |
agi_eval_sat-math::retrieval:152
|
|
28 |
Question: Which of the following is an equation of a circle in the $x y$-plane with center $(0,4)$ and a radius with endpoint $\left(\frac{4}{3}, 5\right) ?$
A. $x^{2}+(y-4)^{2}=\frac{25}{9}$
B. $x^{2}+(y+4)^{2}=\frac{25}{9}$
C. $x^{2}+(y-4)^{2}=\frac{5}{3}$
D. $x^{2}+(y+4)^{2}=\frac{3}{5}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: Which of the following is an equation of a circle in the $x y$-plane with center $(0,4)$ and a radius with endpoint $\left(\frac{4}{3}, 5\right) ?$
A. $x^{2}+(y-4)^{2}=\frac{25}{9}$
B. $x^{2}+(y+4)^{2}=\frac{25}{9}$
C. $x^{2}+(y-4)^{2}=\frac{5}{3}$
D. $x^{2}+(y+4)^{2}=\frac{3}{5}$
Answer:
|
Question: Which of the following is an equation of a circle in the $x y$-plane with center $(0,4)$ and a radius with endpoint $\left(\frac{4}{3}, 5\right) ?$
A. $x^{2}+(y-4)^{2}=\frac{25}{9}$
B. $x^{2}+(y+4)^{2}=\frac{25}{9}$
C. $x^{2}+(y-4)^{2}=\frac{5}{3}$
D. $x^{2}+(y+4)^{2}=\frac{3}{5}$
Answer:
|
Question: Which of the following is an equation of a circle in the $x y$-plane with center $(0,4)$ and a radius with endpoint $\left(\frac{4}{3}, 5\right) ?$
A. $x^{2}+(y-4)^{2}=\frac{25}{9}$
B. $x^{2}+(y+4)^{2}=\frac{25}{9}$
C. $x^{2}+(y-4)^{2}=\frac{5}{3}$
D. $x^{2}+(y+4)^{2}=\frac{3}{5}$
Answer: A
| null |
agi_eval_sat-math::retrieval:28
|
|
139 |
Question: A company that makes wildlife videos purchases camera equipment for $\$ 32,400$. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?
A. $\$ 10,800$
B. $\$ 16,200$
C. $\$ 21,600$
D. $\$ 29,700$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: A company that makes wildlife videos purchases camera equipment for $\$ 32,400$. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?
A. $\$ 10,800$
B. $\$ 16,200$
C. $\$ 21,600$
D. $\$ 29,700$
Answer:
|
Question: A company that makes wildlife videos purchases camera equipment for $\$ 32,400$. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?
A. $\$ 10,800$
B. $\$ 16,200$
C. $\$ 21,600$
D. $\$ 29,700$
Answer:
|
Question: A company that makes wildlife videos purchases camera equipment for $\$ 32,400$. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?
A. $\$ 10,800$
B. $\$ 16,200$
C. $\$ 21,600$
D. $\$ 29,700$
Answer: C
| null |
agi_eval_sat-math::retrieval:139
|
|
50 |
Question: A book was on sale for $40 \%$ off its original price. If the sale price of the book was $\$ 18.00$, what was the original price of the book? (Assume there is no sales tax.)
A. $\$ 7.20$
B. $\$ 10.80$
C. $\$ 30.00$
D. $\$ 45.00$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: A book was on sale for $40 \%$ off its original price. If the sale price of the book was $\$ 18.00$, what was the original price of the book? (Assume there is no sales tax.)
A. $\$ 7.20$
B. $\$ 10.80$
C. $\$ 30.00$
D. $\$ 45.00$
Answer:
|
Question: A book was on sale for $40 \%$ off its original price. If the sale price of the book was $\$ 18.00$, what was the original price of the book? (Assume there is no sales tax.)
A. $\$ 7.20$
B. $\$ 10.80$
C. $\$ 30.00$
D. $\$ 45.00$
Answer:
|
Question: A book was on sale for $40 \%$ off its original price. If the sale price of the book was $\$ 18.00$, what was the original price of the book? (Assume there is no sales tax.)
A. $\$ 7.20$
B. $\$ 10.80$
C. $\$ 30.00$
D. $\$ 45.00$
Answer: C
| null |
agi_eval_sat-math::retrieval:50
|
|
53 |
Question: The volume of a sphere is given by the formula $V=\frac{4}{3} \pi r^{3}$, where $r$ is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
A. $\frac{4 \pi}{3 V}$
B. $\frac{3 V}{4 \pi}$
C. $\sqrt[3]{\frac{4 \pi}{3 V}}$
D. $\sqrt[3]{\frac{3 V}{4 \pi}}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: The volume of a sphere is given by the formula $V=\frac{4}{3} \pi r^{3}$, where $r$ is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
A. $\frac{4 \pi}{3 V}$
B. $\frac{3 V}{4 \pi}$
C. $\sqrt[3]{\frac{4 \pi}{3 V}}$
D. $\sqrt[3]{\frac{3 V}{4 \pi}}$
Answer:
|
Question: The volume of a sphere is given by the formula $V=\frac{4}{3} \pi r^{3}$, where $r$ is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
A. $\frac{4 \pi}{3 V}$
B. $\frac{3 V}{4 \pi}$
C. $\sqrt[3]{\frac{4 \pi}{3 V}}$
D. $\sqrt[3]{\frac{3 V}{4 \pi}}$
Answer:
|
Question: The volume of a sphere is given by the formula $V=\frac{4}{3} \pi r^{3}$, where $r$ is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
A. $\frac{4 \pi}{3 V}$
B. $\frac{3 V}{4 \pi}$
C. $\sqrt[3]{\frac{4 \pi}{3 V}}$
D. $\sqrt[3]{\frac{3 V}{4 \pi}}$
Answer: D
| null |
agi_eval_sat-math::retrieval:53
|
|
31 |
Question: A square field measures 10 meters by 10 meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1 meter, and no two regions overlap. The students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground's surface in each region. The results are shown in the table below.\begin{center}\begin{tabular}{|c|c|c|c|}\hlineRegion & $\begin{array}{c}\text { Number of } \\ \text { earthworms }\end{array}$ & Region & $\begin{array}{c}\text { Number of } \\ \text { earthworms }\end{array}$ \\\hlineA & 107 & $\mathrm{~F}$ & 141 \\\hlineB & 147 & $\mathrm{G}$ & 150 \\\hlineC & 146 & $\mathrm{H}$ & 154 \\\hlineD & 135 & $\mathrm{I}$ & 176 \\\hlineE & 149 & $\mathrm{~J}$ & 166 \\\hline\end{tabular}\end{center}Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground's surface in the entire field?
A. $\quad 150$
B. $\quad 1,500$
C. 15,000
D. 150,000
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: A square field measures 10 meters by 10 meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1 meter, and no two regions overlap. The students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground's surface in each region. The results are shown in the table below.\begin{center}\begin{tabular}{|c|c|c|c|}\hlineRegion & $\begin{array}{c}\text { Number of } \\ \text { earthworms }\end{array}$ & Region & $\begin{array}{c}\text { Number of } \\ \text { earthworms }\end{array}$ \\\hlineA & 107 & $\mathrm{~F}$ & 141 \\\hlineB & 147 & $\mathrm{G}$ & 150 \\\hlineC & 146 & $\mathrm{H}$ & 154 \\\hlineD & 135 & $\mathrm{I}$ & 176 \\\hlineE & 149 & $\mathrm{~J}$ & 166 \\\hline\end{tabular}\end{center}Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground's surface in the entire field?
A. $\quad 150$
B. $\quad 1,500$
C. 15,000
D. 150,000
Answer:
|
Question: A square field measures 10 meters by 10 meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1 meter, and no two regions overlap. The students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground's surface in each region. The results are shown in the table below.\begin{center}\begin{tabular}{|c|c|c|c|}\hlineRegion & $\begin{array}{c}\text { Number of } \\ \text { earthworms }\end{array}$ & Region & $\begin{array}{c}\text { Number of } \\ \text { earthworms }\end{array}$ \\\hlineA & 107 & $\mathrm{~F}$ & 141 \\\hlineB & 147 & $\mathrm{G}$ & 150 \\\hlineC & 146 & $\mathrm{H}$ & 154 \\\hlineD & 135 & $\mathrm{I}$ & 176 \\\hlineE & 149 & $\mathrm{~J}$ & 166 \\\hline\end{tabular}\end{center}Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground's surface in the entire field?
A. $\quad 150$
B. $\quad 1,500$
C. 15,000
D. 150,000
Answer:
|
Question: A square field measures 10 meters by 10 meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1 meter, and no two regions overlap. The students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground's surface in each region. The results are shown in the table below.\begin{center}\begin{tabular}{|c|c|c|c|}\hlineRegion & $\begin{array}{c}\text { Number of } \\ \text { earthworms }\end{array}$ & Region & $\begin{array}{c}\text { Number of } \\ \text { earthworms }\end{array}$ \\\hlineA & 107 & $\mathrm{~F}$ & 141 \\\hlineB & 147 & $\mathrm{G}$ & 150 \\\hlineC & 146 & $\mathrm{H}$ & 154 \\\hlineD & 135 & $\mathrm{I}$ & 176 \\\hlineE & 149 & $\mathrm{~J}$ & 166 \\\hline\end{tabular}\end{center}Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground's surface in the entire field?
A. $\quad 150$
B. $\quad 1,500$
C. 15,000
D. 150,000
Answer: C
| null |
agi_eval_sat-math::retrieval:31
|
|
62 |
Question: $$\frac{2}{3}(9 x-6)-4=9 x-6$$Based on the equation above, what is the value of $3 x-2$ ?
A. -4
B. $-\frac{4}{5}$
C. $-\frac{2}{3}$
D. 4
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: $$\frac{2}{3}(9 x-6)-4=9 x-6$$Based on the equation above, what is the value of $3 x-2$ ?
A. -4
B. $-\frac{4}{5}$
C. $-\frac{2}{3}$
D. 4
Answer:
|
Question: $$\frac{2}{3}(9 x-6)-4=9 x-6$$Based on the equation above, what is the value of $3 x-2$ ?
A. -4
B. $-\frac{4}{5}$
C. $-\frac{2}{3}$
D. 4
Answer:
|
Question: $$\frac{2}{3}(9 x-6)-4=9 x-6$$Based on the equation above, what is the value of $3 x-2$ ?
A. -4
B. $-\frac{4}{5}$
C. $-\frac{2}{3}$
D. 4
Answer: A
| null |
agi_eval_sat-math::retrieval:62
|
|
155 |
Question: Lani spent $15 \%$ of her 8-hour workday in meetings. How many minutes of her workday did she spend in meetings?
A. 1.2
B. 15
C. 48
D. 72
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: Lani spent $15 \%$ of her 8-hour workday in meetings. How many minutes of her workday did she spend in meetings?
A. 1.2
B. 15
C. 48
D. 72
Answer:
|
Question: Lani spent $15 \%$ of her 8-hour workday in meetings. How many minutes of her workday did she spend in meetings?
A. 1.2
B. 15
C. 48
D. 72
Answer:
|
Question: Lani spent $15 \%$ of her 8-hour workday in meetings. How many minutes of her workday did she spend in meetings?
A. 1.2
B. 15
C. 48
D. 72
Answer: D
| null |
agi_eval_sat-math::retrieval:155
|
|
8 |
Question: $$\begin{array}{r}3 x+4 y=-23 \\2 y-x=-19\end{array}$$What is the solution $(x, y)$ to the system of equations above?
A. $(-5,-2)$
B. $(3,-8)$
C. $(4,-6)$
D. $(9,-6)$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: $$\begin{array}{r}3 x+4 y=-23 \\2 y-x=-19\end{array}$$What is the solution $(x, y)$ to the system of equations above?
A. $(-5,-2)$
B. $(3,-8)$
C. $(4,-6)$
D. $(9,-6)$
Answer:
|
Question: $$\begin{array}{r}3 x+4 y=-23 \\2 y-x=-19\end{array}$$What is the solution $(x, y)$ to the system of equations above?
A. $(-5,-2)$
B. $(3,-8)$
C. $(4,-6)$
D. $(9,-6)$
Answer:
|
Question: $$\begin{array}{r}3 x+4 y=-23 \\2 y-x=-19\end{array}$$What is the solution $(x, y)$ to the system of equations above?
A. $(-5,-2)$
B. $(3,-8)$
C. $(4,-6)$
D. $(9,-6)$
Answer: B
| null |
agi_eval_sat-math::retrieval:8
|
|
29 |
Question: $$h=-4.9 t^{2}+25 t$$The equation above expresses the approximate height $h$, in meters, of a ball $t$ seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?
A. 3.5
B. 4.0
C. 4.5
D. 5.0
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: $$h=-4.9 t^{2}+25 t$$The equation above expresses the approximate height $h$, in meters, of a ball $t$ seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?
A. 3.5
B. 4.0
C. 4.5
D. 5.0
Answer:
|
Question: $$h=-4.9 t^{2}+25 t$$The equation above expresses the approximate height $h$, in meters, of a ball $t$ seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?
A. 3.5
B. 4.0
C. 4.5
D. 5.0
Answer:
|
Question: $$h=-4.9 t^{2}+25 t$$The equation above expresses the approximate height $h$, in meters, of a ball $t$ seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?
A. 3.5
B. 4.0
C. 4.5
D. 5.0
Answer: D
| null |
agi_eval_sat-math::retrieval:29
|
|
34 |
Question: A television with a price of $\$ 300$ is to be purchased with an initial payment of $\$ 60$ and weekly payments of $\$ 30$. Which of the following equations can be used to find the number of weekly payments, $w$, required to complete the purchase, assuming there are no taxes or fees?
A. $300=30 w-60$
B. $300=30 w$
C. $300=30 w+60$
D. $300=60 w-30$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: A television with a price of $\$ 300$ is to be purchased with an initial payment of $\$ 60$ and weekly payments of $\$ 30$. Which of the following equations can be used to find the number of weekly payments, $w$, required to complete the purchase, assuming there are no taxes or fees?
A. $300=30 w-60$
B. $300=30 w$
C. $300=30 w+60$
D. $300=60 w-30$
Answer:
|
Question: A television with a price of $\$ 300$ is to be purchased with an initial payment of $\$ 60$ and weekly payments of $\$ 30$. Which of the following equations can be used to find the number of weekly payments, $w$, required to complete the purchase, assuming there are no taxes or fees?
A. $300=30 w-60$
B. $300=30 w$
C. $300=30 w+60$
D. $300=60 w-30$
Answer:
|
Question: A television with a price of $\$ 300$ is to be purchased with an initial payment of $\$ 60$ and weekly payments of $\$ 30$. Which of the following equations can be used to find the number of weekly payments, $w$, required to complete the purchase, assuming there are no taxes or fees?
A. $300=30 w-60$
B. $300=30 w$
C. $300=30 w+60$
D. $300=60 w-30$
Answer: C
| null |
agi_eval_sat-math::retrieval:34
|
|
193 |
Question: If $\frac{8}{x}=160$, what is the value of $x ?$
A. 1,280
B. 80
C. 20
D. 0.05
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: If $\frac{8}{x}=160$, what is the value of $x ?$
A. 1,280
B. 80
C. 20
D. 0.05
Answer:
|
Question: If $\frac{8}{x}=160$, what is the value of $x ?$
A. 1,280
B. 80
C. 20
D. 0.05
Answer:
|
Question: If $\frac{8}{x}=160$, what is the value of $x ?$
A. 1,280
B. 80
C. 20
D. 0.05
Answer: D
| null |
agi_eval_sat-math::retrieval:193
|
|
94 |
Question: Mr. Kohl has a beaker containing $n$ milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?
A. 16
B. 21
C. 23
D. 26
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: Mr. Kohl has a beaker containing $n$ milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?
A. 16
B. 21
C. 23
D. 26
Answer:
|
Question: Mr. Kohl has a beaker containing $n$ milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?
A. 16
B. 21
C. 23
D. 26
Answer:
|
Question: Mr. Kohl has a beaker containing $n$ milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?
A. 16
B. 21
C. 23
D. 26
Answer: D
| null |
agi_eval_sat-math::retrieval:94
|
|
22 |
Question: \begin{center}\begin{tabular}{|c|c|c|c|c|c|}\cline { 3 - 5 }\multicolumn{2}{c|}{} & \multicolumn{3}{c|}{Course} & \multicolumn{1}{c|}{} \\\cline { 2 - 5 }\multicolumn{2}{c|}{} & Algebra I & Geometry & $\begin{array}{c}\text { Algebra } \\ \text { II }\end{array}$ & \multirow{2}{*}{Total} \\\hline\multirow{2}{*}{Gender} & Female & 35 & 53 & 62 & \\\cline { 2 - 5 }& Male & 44 & 59 & 57 & 160 \\\hline& Total & 79 & 112 & 119 & 310 \\\hline\end{tabular}\end{center}A group of tenth-grade students responded to a survey that asked which math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19 percent of all the survey respondents?
A. Females taking Geometry
B. Females taking Algebra II
C. Males taking Geometry
D. Males taking Algebra I
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: \begin{center}\begin{tabular}{|c|c|c|c|c|c|}\cline { 3 - 5 }\multicolumn{2}{c|}{} & \multicolumn{3}{c|}{Course} & \multicolumn{1}{c|}{} \\\cline { 2 - 5 }\multicolumn{2}{c|}{} & Algebra I & Geometry & $\begin{array}{c}\text { Algebra } \\ \text { II }\end{array}$ & \multirow{2}{*}{Total} \\\hline\multirow{2}{*}{Gender} & Female & 35 & 53 & 62 & \\\cline { 2 - 5 }& Male & 44 & 59 & 57 & 160 \\\hline& Total & 79 & 112 & 119 & 310 \\\hline\end{tabular}\end{center}A group of tenth-grade students responded to a survey that asked which math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19 percent of all the survey respondents?
A. Females taking Geometry
B. Females taking Algebra II
C. Males taking Geometry
D. Males taking Algebra I
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|c|c|c|c|}\cline { 3 - 5 }\multicolumn{2}{c|}{} & \multicolumn{3}{c|}{Course} & \multicolumn{1}{c|}{} \\\cline { 2 - 5 }\multicolumn{2}{c|}{} & Algebra I & Geometry & $\begin{array}{c}\text { Algebra } \\ \text { II }\end{array}$ & \multirow{2}{*}{Total} \\\hline\multirow{2}{*}{Gender} & Female & 35 & 53 & 62 & \\\cline { 2 - 5 }& Male & 44 & 59 & 57 & 160 \\\hline& Total & 79 & 112 & 119 & 310 \\\hline\end{tabular}\end{center}A group of tenth-grade students responded to a survey that asked which math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19 percent of all the survey respondents?
A. Females taking Geometry
B. Females taking Algebra II
C. Males taking Geometry
D. Males taking Algebra I
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|c|c|c|c|}\cline { 3 - 5 }\multicolumn{2}{c|}{} & \multicolumn{3}{c|}{Course} & \multicolumn{1}{c|}{} \\\cline { 2 - 5 }\multicolumn{2}{c|}{} & Algebra I & Geometry & $\begin{array}{c}\text { Algebra } \\ \text { II }\end{array}$ & \multirow{2}{*}{Total} \\\hline\multirow{2}{*}{Gender} & Female & 35 & 53 & 62 & \\\cline { 2 - 5 }& Male & 44 & 59 & 57 & 160 \\\hline& Total & 79 & 112 & 119 & 310 \\\hline\end{tabular}\end{center}A group of tenth-grade students responded to a survey that asked which math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19 percent of all the survey respondents?
A. Females taking Geometry
B. Females taking Algebra II
C. Males taking Geometry
D. Males taking Algebra I
Answer: C
| null |
agi_eval_sat-math::retrieval:22
|
|
150 |
Question: A certain package requires 3 centimeters of tape to be closed securely. What is the maximum number of packages of this type that can be secured with 6 meters of tape? $(1$ meter $=100 \mathrm{~cm})$
A. 100
B. 150
C. 200
D. 300
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: A certain package requires 3 centimeters of tape to be closed securely. What is the maximum number of packages of this type that can be secured with 6 meters of tape? $(1$ meter $=100 \mathrm{~cm})$
A. 100
B. 150
C. 200
D. 300
Answer:
|
Question: A certain package requires 3 centimeters of tape to be closed securely. What is the maximum number of packages of this type that can be secured with 6 meters of tape? $(1$ meter $=100 \mathrm{~cm})$
A. 100
B. 150
C. 200
D. 300
Answer:
|
Question: A certain package requires 3 centimeters of tape to be closed securely. What is the maximum number of packages of this type that can be secured with 6 meters of tape? $(1$ meter $=100 \mathrm{~cm})$
A. 100
B. 150
C. 200
D. 300
Answer: C
| null |
agi_eval_sat-math::retrieval:150
|
|
183 |
Question: In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
A. 150
B. 200
C. 250
D. 300
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
A. 150
B. 200
C. 250
D. 300
Answer:
|
Question: In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
A. 150
B. 200
C. 250
D. 300
Answer:
|
Question: In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
A. 150
B. 200
C. 250
D. 300
Answer: A
| null |
agi_eval_sat-math::retrieval:183
|
|
71 |
Question: The line $y=k x+4$, where $k$ is a constant, is graphed in the $x y$-plane. If the line contains the point $(c, d)$, where $c \neq 0$ and $d \neq 0$, what is the slope of the line in terms of $c$ and $d$ ?
A. $\frac{d-4}{c}$
B. $\frac{c-4}{d}$
C. $\frac{4-d}{c}$
D. $\frac{4-c}{d}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: The line $y=k x+4$, where $k$ is a constant, is graphed in the $x y$-plane. If the line contains the point $(c, d)$, where $c \neq 0$ and $d \neq 0$, what is the slope of the line in terms of $c$ and $d$ ?
A. $\frac{d-4}{c}$
B. $\frac{c-4}{d}$
C. $\frac{4-d}{c}$
D. $\frac{4-c}{d}$
Answer:
|
Question: The line $y=k x+4$, where $k$ is a constant, is graphed in the $x y$-plane. If the line contains the point $(c, d)$, where $c \neq 0$ and $d \neq 0$, what is the slope of the line in terms of $c$ and $d$ ?
A. $\frac{d-4}{c}$
B. $\frac{c-4}{d}$
C. $\frac{4-d}{c}$
D. $\frac{4-c}{d}$
Answer:
|
Question: The line $y=k x+4$, where $k$ is a constant, is graphed in the $x y$-plane. If the line contains the point $(c, d)$, where $c \neq 0$ and $d \neq 0$, what is the slope of the line in terms of $c$ and $d$ ?
A. $\frac{d-4}{c}$
B. $\frac{c-4}{d}$
C. $\frac{4-d}{c}$
D. $\frac{4-c}{d}$
Answer: A
| null |
agi_eval_sat-math::retrieval:71
|
|
113 |
Question: The weight of an object on Venus is approximately $\frac{9}{10}$ of its weight on Earth. The weight of an object on Jupiter is approximately $\frac{23}{10}$ of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
A. 90
B. 111
C. 140
D. 230
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: The weight of an object on Venus is approximately $\frac{9}{10}$ of its weight on Earth. The weight of an object on Jupiter is approximately $\frac{23}{10}$ of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
A. 90
B. 111
C. 140
D. 230
Answer:
|
Question: The weight of an object on Venus is approximately $\frac{9}{10}$ of its weight on Earth. The weight of an object on Jupiter is approximately $\frac{23}{10}$ of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
A. 90
B. 111
C. 140
D. 230
Answer:
|
Question: The weight of an object on Venus is approximately $\frac{9}{10}$ of its weight on Earth. The weight of an object on Jupiter is approximately $\frac{23}{10}$ of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
A. 90
B. 111
C. 140
D. 230
Answer: C
| null |
agi_eval_sat-math::retrieval:113
|
|
147 |
Question: The expression $\frac{1}{3} x^{2}-2$ can be rewritten as $\frac{1}{3}(x-k)(x+k)$, where $k$ is a positive constant.What is the value of $k$ ?
A. 2
B. 6
C. $\sqrt{2}$
D. $\sqrt{6}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: The expression $\frac{1}{3} x^{2}-2$ can be rewritten as $\frac{1}{3}(x-k)(x+k)$, where $k$ is a positive constant.What is the value of $k$ ?
A. 2
B. 6
C. $\sqrt{2}$
D. $\sqrt{6}$
Answer:
|
Question: The expression $\frac{1}{3} x^{2}-2$ can be rewritten as $\frac{1}{3}(x-k)(x+k)$, where $k$ is a positive constant.What is the value of $k$ ?
A. 2
B. 6
C. $\sqrt{2}$
D. $\sqrt{6}$
Answer:
|
Question: The expression $\frac{1}{3} x^{2}-2$ can be rewritten as $\frac{1}{3}(x-k)(x+k)$, where $k$ is a positive constant.What is the value of $k$ ?
A. 2
B. 6
C. $\sqrt{2}$
D. $\sqrt{6}$
Answer: D
| null |
agi_eval_sat-math::retrieval:147
|
|
45 |
Question: Which of the following is equivalent to $2 x\left(x^{2}-3 x\right)$ ?
A. $-4 x^{2}$
B. $3 x^{3}-x^{2}$
C. $2 x^{3}-3 x$
D. $2 x^{3}-6 x^{2}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: Which of the following is equivalent to $2 x\left(x^{2}-3 x\right)$ ?
A. $-4 x^{2}$
B. $3 x^{3}-x^{2}$
C. $2 x^{3}-3 x$
D. $2 x^{3}-6 x^{2}$
Answer:
|
Question: Which of the following is equivalent to $2 x\left(x^{2}-3 x\right)$ ?
A. $-4 x^{2}$
B. $3 x^{3}-x^{2}$
C. $2 x^{3}-3 x$
D. $2 x^{3}-6 x^{2}$
Answer:
|
Question: Which of the following is equivalent to $2 x\left(x^{2}-3 x\right)$ ?
A. $-4 x^{2}$
B. $3 x^{3}-x^{2}$
C. $2 x^{3}-3 x$
D. $2 x^{3}-6 x^{2}$
Answer: D
| null |
agi_eval_sat-math::retrieval:45
|
|
82 |
Question: If $\frac{3}{5} w=\frac{4}{3}$, what is the value of $w ?$
A. $\frac{9}{20}$
B. $\frac{4}{5}$
C. $\frac{5}{4}$
D. $\frac{20}{9}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: If $\frac{3}{5} w=\frac{4}{3}$, what is the value of $w ?$
A. $\frac{9}{20}$
B. $\frac{4}{5}$
C. $\frac{5}{4}$
D. $\frac{20}{9}$
Answer:
|
Question: If $\frac{3}{5} w=\frac{4}{3}$, what is the value of $w ?$
A. $\frac{9}{20}$
B. $\frac{4}{5}$
C. $\frac{5}{4}$
D. $\frac{20}{9}$
Answer:
|
Question: If $\frac{3}{5} w=\frac{4}{3}$, what is the value of $w ?$
A. $\frac{9}{20}$
B. $\frac{4}{5}$
C. $\frac{5}{4}$
D. $\frac{20}{9}$
Answer: D
| null |
agi_eval_sat-math::retrieval:82
|
|
213 |
Question: The weights, in pounds, for 15 horses in a stable were reported, and the mean, median, range, and standard deviation for the data were found. The horse with the lowest reported weight was found to actually weigh 10 pounds less than its reported weight. What value remains unchanged if the four values are reported using the corrected weight?
A. Mean
B. Median
C. Range
D. Standard deviation
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: The weights, in pounds, for 15 horses in a stable were reported, and the mean, median, range, and standard deviation for the data were found. The horse with the lowest reported weight was found to actually weigh 10 pounds less than its reported weight. What value remains unchanged if the four values are reported using the corrected weight?
A. Mean
B. Median
C. Range
D. Standard deviation
Answer:
|
Question: The weights, in pounds, for 15 horses in a stable were reported, and the mean, median, range, and standard deviation for the data were found. The horse with the lowest reported weight was found to actually weigh 10 pounds less than its reported weight. What value remains unchanged if the four values are reported using the corrected weight?
A. Mean
B. Median
C. Range
D. Standard deviation
Answer:
|
Question: The weights, in pounds, for 15 horses in a stable were reported, and the mean, median, range, and standard deviation for the data were found. The horse with the lowest reported weight was found to actually weigh 10 pounds less than its reported weight. What value remains unchanged if the four values are reported using the corrected weight?
A. Mean
B. Median
C. Range
D. Standard deviation
Answer: B
| null |
agi_eval_sat-math::retrieval:213
|
|
114 |
Question: An online bookstore sells novels and magazines. Each novel sells for $\$ 4$, and each magazine sells for $\$ 1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\$ 20$, how many novels did she purchase?
A. 2
B. 3
C. 4
D. 5
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: An online bookstore sells novels and magazines. Each novel sells for $\$ 4$, and each magazine sells for $\$ 1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\$ 20$, how many novels did she purchase?
A. 2
B. 3
C. 4
D. 5
Answer:
|
Question: An online bookstore sells novels and magazines. Each novel sells for $\$ 4$, and each magazine sells for $\$ 1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\$ 20$, how many novels did she purchase?
A. 2
B. 3
C. 4
D. 5
Answer:
|
Question: An online bookstore sells novels and magazines. Each novel sells for $\$ 4$, and each magazine sells for $\$ 1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\$ 20$, how many novels did she purchase?
A. 2
B. 3
C. 4
D. 5
Answer: B
| null |
agi_eval_sat-math::retrieval:114
|
|
136 |
Question: $$\begin{aligned}& x=y-3 \\& \frac{x}{2}+2 y=6\end{aligned}$$Which ordered pair $(x, y)$ satisfies the system of equations shown above?
A. $(-3,0)$
B. $(0,3)$
C. $(6,-3)$
D. $(36,-6)$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: $$\begin{aligned}& x=y-3 \\& \frac{x}{2}+2 y=6\end{aligned}$$Which ordered pair $(x, y)$ satisfies the system of equations shown above?
A. $(-3,0)$
B. $(0,3)$
C. $(6,-3)$
D. $(36,-6)$
Answer:
|
Question: $$\begin{aligned}& x=y-3 \\& \frac{x}{2}+2 y=6\end{aligned}$$Which ordered pair $(x, y)$ satisfies the system of equations shown above?
A. $(-3,0)$
B. $(0,3)$
C. $(6,-3)$
D. $(36,-6)$
Answer:
|
Question: $$\begin{aligned}& x=y-3 \\& \frac{x}{2}+2 y=6\end{aligned}$$Which ordered pair $(x, y)$ satisfies the system of equations shown above?
A. $(-3,0)$
B. $(0,3)$
C. $(6,-3)$
D. $(36,-6)$
Answer: B
| null |
agi_eval_sat-math::retrieval:136
|
|
116 |
Question: Which of the following is an equivalent form of $(1.5 x-2.4)^{2}-\left(5.2 x^{2}-6.4\right) ?$
A. $-2.2 x^{2}+1.6$
B. $-2.2 x^{2}+11.2$
C. $-2.95 x^{2}-7.2 x+12.16$
D. $-2.95 x^{2}-7.2 x+0.64$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: Which of the following is an equivalent form of $(1.5 x-2.4)^{2}-\left(5.2 x^{2}-6.4\right) ?$
A. $-2.2 x^{2}+1.6$
B. $-2.2 x^{2}+11.2$
C. $-2.95 x^{2}-7.2 x+12.16$
D. $-2.95 x^{2}-7.2 x+0.64$
Answer:
|
Question: Which of the following is an equivalent form of $(1.5 x-2.4)^{2}-\left(5.2 x^{2}-6.4\right) ?$
A. $-2.2 x^{2}+1.6$
B. $-2.2 x^{2}+11.2$
C. $-2.95 x^{2}-7.2 x+12.16$
D. $-2.95 x^{2}-7.2 x+0.64$
Answer:
|
Question: Which of the following is an equivalent form of $(1.5 x-2.4)^{2}-\left(5.2 x^{2}-6.4\right) ?$
A. $-2.2 x^{2}+1.6$
B. $-2.2 x^{2}+11.2$
C. $-2.95 x^{2}-7.2 x+12.16$
D. $-2.95 x^{2}-7.2 x+0.64$
Answer: C
| null |
agi_eval_sat-math::retrieval:116
|
|
205 |
Question: A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?
A. 2
B. 4
C. 5
D. 6
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?
A. 2
B. 4
C. 5
D. 6
Answer:
|
Question: A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?
A. 2
B. 4
C. 5
D. 6
Answer:
|
Question: A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?
A. 2
B. 4
C. 5
D. 6
Answer: C
| null |
agi_eval_sat-math::retrieval:205
|
|
18 |
Question: For what value of $n$ is $|n-1|+1$ equal to 0 ?
A. 0
B. 1
C. 2
D. There is no such value of $n$.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: For what value of $n$ is $|n-1|+1$ equal to 0 ?
A. 0
B. 1
C. 2
D. There is no such value of $n$.
Answer:
|
Question: For what value of $n$ is $|n-1|+1$ equal to 0 ?
A. 0
B. 1
C. 2
D. There is no such value of $n$.
Answer:
|
Question: For what value of $n$ is $|n-1|+1$ equal to 0 ?
A. 0
B. 1
C. 2
D. There is no such value of $n$.
Answer: D
| null |
agi_eval_sat-math::retrieval:18
|
|
144 |
Question: The function $f$ is defined by $f(x)=(x+3)(x+1)$. The graph of $f$ in the $x y$-plane is a parabola. Which of the following intervals contains the $x$-coordinate of the vertex of the graph of $f$ ?
A. $-4<x<-3$
B. $-3<x<1$
C. $1<x<3$
D. $3<x<4$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: The function $f$ is defined by $f(x)=(x+3)(x+1)$. The graph of $f$ in the $x y$-plane is a parabola. Which of the following intervals contains the $x$-coordinate of the vertex of the graph of $f$ ?
A. $-4<x<-3$
B. $-3<x<1$
C. $1<x<3$
D. $3<x<4$
Answer:
|
Question: The function $f$ is defined by $f(x)=(x+3)(x+1)$. The graph of $f$ in the $x y$-plane is a parabola. Which of the following intervals contains the $x$-coordinate of the vertex of the graph of $f$ ?
A. $-4<x<-3$
B. $-3<x<1$
C. $1<x<3$
D. $3<x<4$
Answer:
|
Question: The function $f$ is defined by $f(x)=(x+3)(x+1)$. The graph of $f$ in the $x y$-plane is a parabola. Which of the following intervals contains the $x$-coordinate of the vertex of the graph of $f$ ?
A. $-4<x<-3$
B. $-3<x<1$
C. $1<x<3$
D. $3<x<4$
Answer: B
| null |
agi_eval_sat-math::retrieval:144
|
|
110 |
Question: \begin{center}\begin{tabular}{|c|c|}\hline$x$ & $f(x)$ \\\hline1 & 5 \\\hline3 & 13 \\\hline5 & 21 \\\hline\end{tabular}\end{center}Some values of the linear function $f$ are shown in the table above. Which of the following defines $f$ ?
A. $f(x)=2 x+3$
B. $f(x)=3 x+2$
C. $f(x)=4 x+1$
D. $f(x)=5 x$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: \begin{center}\begin{tabular}{|c|c|}\hline$x$ & $f(x)$ \\\hline1 & 5 \\\hline3 & 13 \\\hline5 & 21 \\\hline\end{tabular}\end{center}Some values of the linear function $f$ are shown in the table above. Which of the following defines $f$ ?
A. $f(x)=2 x+3$
B. $f(x)=3 x+2$
C. $f(x)=4 x+1$
D. $f(x)=5 x$
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|}\hline$x$ & $f(x)$ \\\hline1 & 5 \\\hline3 & 13 \\\hline5 & 21 \\\hline\end{tabular}\end{center}Some values of the linear function $f$ are shown in the table above. Which of the following defines $f$ ?
A. $f(x)=2 x+3$
B. $f(x)=3 x+2$
C. $f(x)=4 x+1$
D. $f(x)=5 x$
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|}\hline$x$ & $f(x)$ \\\hline1 & 5 \\\hline3 & 13 \\\hline5 & 21 \\\hline\end{tabular}\end{center}Some values of the linear function $f$ are shown in the table above. Which of the following defines $f$ ?
A. $f(x)=2 x+3$
B. $f(x)=3 x+2$
C. $f(x)=4 x+1$
D. $f(x)=5 x$
Answer: C
| null |
agi_eval_sat-math::retrieval:110
|
|
217 |
Question: $$h(x)=-16 x^{2}+100 x+10$$The quadratic function above models the height above the ground $h$, in feet, of a projectile $x$ seconds after it had been launched vertically. If $y=h(x)$ is graphed in the $x y$-plane, which of the following represents the real-life meaning of the positive $x$-intercept of the graph?
A. The initial height of the projectile
B. The maximum height of the projectile
C. The time at which the projectile reaches its maximum height
D. The time at which the projectile hits the ground
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: $$h(x)=-16 x^{2}+100 x+10$$The quadratic function above models the height above the ground $h$, in feet, of a projectile $x$ seconds after it had been launched vertically. If $y=h(x)$ is graphed in the $x y$-plane, which of the following represents the real-life meaning of the positive $x$-intercept of the graph?
A. The initial height of the projectile
B. The maximum height of the projectile
C. The time at which the projectile reaches its maximum height
D. The time at which the projectile hits the ground
Answer:
|
Question: $$h(x)=-16 x^{2}+100 x+10$$The quadratic function above models the height above the ground $h$, in feet, of a projectile $x$ seconds after it had been launched vertically. If $y=h(x)$ is graphed in the $x y$-plane, which of the following represents the real-life meaning of the positive $x$-intercept of the graph?
A. The initial height of the projectile
B. The maximum height of the projectile
C. The time at which the projectile reaches its maximum height
D. The time at which the projectile hits the ground
Answer:
|
Question: $$h(x)=-16 x^{2}+100 x+10$$The quadratic function above models the height above the ground $h$, in feet, of a projectile $x$ seconds after it had been launched vertically. If $y=h(x)$ is graphed in the $x y$-plane, which of the following represents the real-life meaning of the positive $x$-intercept of the graph?
A. The initial height of the projectile
B. The maximum height of the projectile
C. The time at which the projectile reaches its maximum height
D. The time at which the projectile hits the ground
Answer: D
| null |
agi_eval_sat-math::retrieval:217
|
|
180 |
Question: $$\begin{aligned}& y=x^{2}+3 x-7 \\& y-5 x+8=0\end{aligned}$$How many solutions are there to the system of equations above?
A. There are exactly 4 solutions.
B. There are exactly 2 solutions.
C. There is exactly 1 solution.
D. There are no solutions.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: $$\begin{aligned}& y=x^{2}+3 x-7 \\& y-5 x+8=0\end{aligned}$$How many solutions are there to the system of equations above?
A. There are exactly 4 solutions.
B. There are exactly 2 solutions.
C. There is exactly 1 solution.
D. There are no solutions.
Answer:
|
Question: $$\begin{aligned}& y=x^{2}+3 x-7 \\& y-5 x+8=0\end{aligned}$$How many solutions are there to the system of equations above?
A. There are exactly 4 solutions.
B. There are exactly 2 solutions.
C. There is exactly 1 solution.
D. There are no solutions.
Answer:
|
Question: $$\begin{aligned}& y=x^{2}+3 x-7 \\& y-5 x+8=0\end{aligned}$$How many solutions are there to the system of equations above?
A. There are exactly 4 solutions.
B. There are exactly 2 solutions.
C. There is exactly 1 solution.
D. There are no solutions.
Answer: C
| null |
agi_eval_sat-math::retrieval:180
|
|
84 |
Question: Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes?
A. 150 meters
B. 450 meters
C. 700 meters
D. 1,400 meters
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes?
A. 150 meters
B. 450 meters
C. 700 meters
D. 1,400 meters
Answer:
|
Question: Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes?
A. 150 meters
B. 450 meters
C. 700 meters
D. 1,400 meters
Answer:
|
Question: Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes?
A. 150 meters
B. 450 meters
C. 700 meters
D. 1,400 meters
Answer: B
| null |
agi_eval_sat-math::retrieval:84
|
|
173 |
Question: The width of a rectangular dance floor is $w$ feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of $w$ ?
A. $2 w+6$
B. $4 w+12$
C. $w^{2}+6$
D. $w^{2}+6 w$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: The width of a rectangular dance floor is $w$ feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of $w$ ?
A. $2 w+6$
B. $4 w+12$
C. $w^{2}+6$
D. $w^{2}+6 w$
Answer:
|
Question: The width of a rectangular dance floor is $w$ feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of $w$ ?
A. $2 w+6$
B. $4 w+12$
C. $w^{2}+6$
D. $w^{2}+6 w$
Answer:
|
Question: The width of a rectangular dance floor is $w$ feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of $w$ ?
A. $2 w+6$
B. $4 w+12$
C. $w^{2}+6$
D. $w^{2}+6 w$
Answer: B
| null |
agi_eval_sat-math::retrieval:173
|
|
88 |
Question: In order to determine if treatment $\mathrm{X}$ is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight, 300 participants were selected at random. Half of the participants were randomly assigned to receive treatment $X$, and the other half did not receive treatment $X$. The resulting data showed that participants who received treatment $X$ had significantly improved eyesight as compared to those who did not receive treatment $X$. Based on the design and results of the study, which of the following is an appropriate conclusion?
A. Treatment $\mathrm{X}$ is likely to improve the eyesight of people who have poor eyesight.
B. Treatment $\mathrm{X}$ improves eyesight better than all other available treatments.
C. Treatment $X$ will improve the eyesight of anyone who takes it.
D. Treatment $\mathrm{X}$ will cause a substantial improvement in eyesight.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: In order to determine if treatment $\mathrm{X}$ is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight, 300 participants were selected at random. Half of the participants were randomly assigned to receive treatment $X$, and the other half did not receive treatment $X$. The resulting data showed that participants who received treatment $X$ had significantly improved eyesight as compared to those who did not receive treatment $X$. Based on the design and results of the study, which of the following is an appropriate conclusion?
A. Treatment $\mathrm{X}$ is likely to improve the eyesight of people who have poor eyesight.
B. Treatment $\mathrm{X}$ improves eyesight better than all other available treatments.
C. Treatment $X$ will improve the eyesight of anyone who takes it.
D. Treatment $\mathrm{X}$ will cause a substantial improvement in eyesight.
Answer:
|
Question: In order to determine if treatment $\mathrm{X}$ is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight, 300 participants were selected at random. Half of the participants were randomly assigned to receive treatment $X$, and the other half did not receive treatment $X$. The resulting data showed that participants who received treatment $X$ had significantly improved eyesight as compared to those who did not receive treatment $X$. Based on the design and results of the study, which of the following is an appropriate conclusion?
A. Treatment $\mathrm{X}$ is likely to improve the eyesight of people who have poor eyesight.
B. Treatment $\mathrm{X}$ improves eyesight better than all other available treatments.
C. Treatment $X$ will improve the eyesight of anyone who takes it.
D. Treatment $\mathrm{X}$ will cause a substantial improvement in eyesight.
Answer:
|
Question: In order to determine if treatment $\mathrm{X}$ is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight, 300 participants were selected at random. Half of the participants were randomly assigned to receive treatment $X$, and the other half did not receive treatment $X$. The resulting data showed that participants who received treatment $X$ had significantly improved eyesight as compared to those who did not receive treatment $X$. Based on the design and results of the study, which of the following is an appropriate conclusion?
A. Treatment $\mathrm{X}$ is likely to improve the eyesight of people who have poor eyesight.
B. Treatment $\mathrm{X}$ improves eyesight better than all other available treatments.
C. Treatment $X$ will improve the eyesight of anyone who takes it.
D. Treatment $\mathrm{X}$ will cause a substantial improvement in eyesight.
Answer: A
| null |
agi_eval_sat-math::retrieval:88
|
|
186 |
Question: $$x+1=\frac{2}{x+1}$$In the equation above, which of the following is a possible value of $x+1$ ?
A. $1-\sqrt{2}$
B. $\sqrt{2}$
C. 2
D. 4
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: $$x+1=\frac{2}{x+1}$$In the equation above, which of the following is a possible value of $x+1$ ?
A. $1-\sqrt{2}$
B. $\sqrt{2}$
C. 2
D. 4
Answer:
|
Question: $$x+1=\frac{2}{x+1}$$In the equation above, which of the following is a possible value of $x+1$ ?
A. $1-\sqrt{2}$
B. $\sqrt{2}$
C. 2
D. 4
Answer:
|
Question: $$x+1=\frac{2}{x+1}$$In the equation above, which of the following is a possible value of $x+1$ ?
A. $1-\sqrt{2}$
B. $\sqrt{2}$
C. 2
D. 4
Answer: B
| null |
agi_eval_sat-math::retrieval:186
|
|
177 |
Question: A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
A. 30
B. 20
C. 19
D. 18 11
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
A. 30
B. 20
C. 19
D. 18 11
Answer:
|
Question: A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
A. 30
B. 20
C. 19
D. 18 11
Answer:
|
Question: A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
A. 30
B. 20
C. 19
D. 18 11
Answer: C
| null |
agi_eval_sat-math::retrieval:177
|
|
158 |
Question: If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately $3 \frac{7}{8}$ inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8-inch-tall column?
A. 75
B. 100
C. 200
D. 390
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately $3 \frac{7}{8}$ inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8-inch-tall column?
A. 75
B. 100
C. 200
D. 390
Answer:
|
Question: If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately $3 \frac{7}{8}$ inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8-inch-tall column?
A. 75
B. 100
C. 200
D. 390
Answer:
|
Question: If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately $3 \frac{7}{8}$ inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8-inch-tall column?
A. 75
B. 100
C. 200
D. 390
Answer: B
| null |
agi_eval_sat-math::retrieval:158
|
|
79 |
Question: \begin{center}\begin{tabular}{|c||c|c|c|c|}\hline$n$ & 1 & 2 & 3 & 4 \\\hline$f(n)$ & -2 & 1 & 4 & 7 \\\hline\end{tabular}\end{center}The table above shows some values of the linear function $f$. Which of the following defines $f$ ?
A. $f(n)=n-3$
B. $f(n)=2 n-4$
C. $f(n)=3 n-5$
D. $f(n)=4 n-6$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: \begin{center}\begin{tabular}{|c||c|c|c|c|}\hline$n$ & 1 & 2 & 3 & 4 \\\hline$f(n)$ & -2 & 1 & 4 & 7 \\\hline\end{tabular}\end{center}The table above shows some values of the linear function $f$. Which of the following defines $f$ ?
A. $f(n)=n-3$
B. $f(n)=2 n-4$
C. $f(n)=3 n-5$
D. $f(n)=4 n-6$
Answer:
|
Question: \begin{center}\begin{tabular}{|c||c|c|c|c|}\hline$n$ & 1 & 2 & 3 & 4 \\\hline$f(n)$ & -2 & 1 & 4 & 7 \\\hline\end{tabular}\end{center}The table above shows some values of the linear function $f$. Which of the following defines $f$ ?
A. $f(n)=n-3$
B. $f(n)=2 n-4$
C. $f(n)=3 n-5$
D. $f(n)=4 n-6$
Answer:
|
Question: \begin{center}\begin{tabular}{|c||c|c|c|c|}\hline$n$ & 1 & 2 & 3 & 4 \\\hline$f(n)$ & -2 & 1 & 4 & 7 \\\hline\end{tabular}\end{center}The table above shows some values of the linear function $f$. Which of the following defines $f$ ?
A. $f(n)=n-3$
B. $f(n)=2 n-4$
C. $f(n)=3 n-5$
D. $f(n)=4 n-6$
Answer: C
| null |
agi_eval_sat-math::retrieval:79
|
|
41 |
Question: $$\begin{aligned}& -3 x+y=6 \\& a x+2 y=4\end{aligned}$$In the system of equations above, $a$ is a constant. For which of the following values of $a$ does the system have no solution?
A. -6
B. -3
C. 3
D. 6
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: $$\begin{aligned}& -3 x+y=6 \\& a x+2 y=4\end{aligned}$$In the system of equations above, $a$ is a constant. For which of the following values of $a$ does the system have no solution?
A. -6
B. -3
C. 3
D. 6
Answer:
|
Question: $$\begin{aligned}& -3 x+y=6 \\& a x+2 y=4\end{aligned}$$In the system of equations above, $a$ is a constant. For which of the following values of $a$ does the system have no solution?
A. -6
B. -3
C. 3
D. 6
Answer:
|
Question: $$\begin{aligned}& -3 x+y=6 \\& a x+2 y=4\end{aligned}$$In the system of equations above, $a$ is a constant. For which of the following values of $a$ does the system have no solution?
A. -6
B. -3
C. 3
D. 6
Answer: A
| null |
agi_eval_sat-math::retrieval:41
|
|
185 |
Question: In the $x y$-plane, the graph of which of the following equations is a line with a slope of 3 ?
A. $y=\frac{1}{3} x$
B. $y=x-3$
C. $y=3 x+2$
D. $y=6 x+3$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: In the $x y$-plane, the graph of which of the following equations is a line with a slope of 3 ?
A. $y=\frac{1}{3} x$
B. $y=x-3$
C. $y=3 x+2$
D. $y=6 x+3$
Answer:
|
Question: In the $x y$-plane, the graph of which of the following equations is a line with a slope of 3 ?
A. $y=\frac{1}{3} x$
B. $y=x-3$
C. $y=3 x+2$
D. $y=6 x+3$
Answer:
|
Question: In the $x y$-plane, the graph of which of the following equations is a line with a slope of 3 ?
A. $y=\frac{1}{3} x$
B. $y=x-3$
C. $y=3 x+2$
D. $y=6 x+3$
Answer: C
| null |
agi_eval_sat-math::retrieval:185
|
|
148 |
Question: \begin{center}\begin{tabular}{|c|c|c|c|}\hline& $\begin{array}{c}\text { Fed only } \\ \text { dry food }\end{array}$ & $\begin{array}{c}\text { Fed both wet } \\ \text { and dry food }\end{array}$ & Total \\\hlineCats & 5 & 11 & 16 \\\hlineDogs & 2 & 23 & 25 \\\hlineTotal & 7 & 34 & 41 \\\hline\end{tabular}\end{center}The table above shows the kinds of foods that are fed to the cats and dogs currently boarded at a pet care facility. What fraction of the dogs are fed only dry food?
A. $\frac{2}{41}$
B. $\frac{2}{25}$
C. $\frac{7}{41}$
D. $\frac{2}{7}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: \begin{center}\begin{tabular}{|c|c|c|c|}\hline& $\begin{array}{c}\text { Fed only } \\ \text { dry food }\end{array}$ & $\begin{array}{c}\text { Fed both wet } \\ \text { and dry food }\end{array}$ & Total \\\hlineCats & 5 & 11 & 16 \\\hlineDogs & 2 & 23 & 25 \\\hlineTotal & 7 & 34 & 41 \\\hline\end{tabular}\end{center}The table above shows the kinds of foods that are fed to the cats and dogs currently boarded at a pet care facility. What fraction of the dogs are fed only dry food?
A. $\frac{2}{41}$
B. $\frac{2}{25}$
C. $\frac{7}{41}$
D. $\frac{2}{7}$
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|c|c|}\hline& $\begin{array}{c}\text { Fed only } \\ \text { dry food }\end{array}$ & $\begin{array}{c}\text { Fed both wet } \\ \text { and dry food }\end{array}$ & Total \\\hlineCats & 5 & 11 & 16 \\\hlineDogs & 2 & 23 & 25 \\\hlineTotal & 7 & 34 & 41 \\\hline\end{tabular}\end{center}The table above shows the kinds of foods that are fed to the cats and dogs currently boarded at a pet care facility. What fraction of the dogs are fed only dry food?
A. $\frac{2}{41}$
B. $\frac{2}{25}$
C. $\frac{7}{41}$
D. $\frac{2}{7}$
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|c|c|}\hline& $\begin{array}{c}\text { Fed only } \\ \text { dry food }\end{array}$ & $\begin{array}{c}\text { Fed both wet } \\ \text { and dry food }\end{array}$ & Total \\\hlineCats & 5 & 11 & 16 \\\hlineDogs & 2 & 23 & 25 \\\hlineTotal & 7 & 34 & 41 \\\hline\end{tabular}\end{center}The table above shows the kinds of foods that are fed to the cats and dogs currently boarded at a pet care facility. What fraction of the dogs are fed only dry food?
A. $\frac{2}{41}$
B. $\frac{2}{25}$
C. $\frac{7}{41}$
D. $\frac{2}{7}$
Answer: B
| null |
agi_eval_sat-math::retrieval:148
|
|
75 |
Question: The equation $\frac{24 x^{2}+25 x-47}{a x-2}=-8 x-3-\frac{53}{a x-2}$ is true for all values of $x \neq \frac{2}{a}$, where $a$ is a constant.What is the value of $a$ ?
A. -16
B. -3
C. 3
D. 16
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: The equation $\frac{24 x^{2}+25 x-47}{a x-2}=-8 x-3-\frac{53}{a x-2}$ is true for all values of $x \neq \frac{2}{a}$, where $a$ is a constant.What is the value of $a$ ?
A. -16
B. -3
C. 3
D. 16
Answer:
|
Question: The equation $\frac{24 x^{2}+25 x-47}{a x-2}=-8 x-3-\frac{53}{a x-2}$ is true for all values of $x \neq \frac{2}{a}$, where $a$ is a constant.What is the value of $a$ ?
A. -16
B. -3
C. 3
D. 16
Answer:
|
Question: The equation $\frac{24 x^{2}+25 x-47}{a x-2}=-8 x-3-\frac{53}{a x-2}$ is true for all values of $x \neq \frac{2}{a}$, where $a$ is a constant.What is the value of $a$ ?
A. -16
B. -3
C. 3
D. 16
Answer: B
| null |
agi_eval_sat-math::retrieval:75
|
|
92 |
Question: Of the following four types of savings account plans, which option would yield exponential growth of the money in the account?
A. Each successive year, $2 \%$ of the initial savings is added to the value of the account.
B. Each successive year, $1.5 \%$ of the initial savings and $\$ 100$ is added to the value of the account.
C. Each successive year, $1 \%$ of the current value is added to the value of the account.
D. Each successive year, $\$ 100$ is added to the value of the account.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: Of the following four types of savings account plans, which option would yield exponential growth of the money in the account?
A. Each successive year, $2 \%$ of the initial savings is added to the value of the account.
B. Each successive year, $1.5 \%$ of the initial savings and $\$ 100$ is added to the value of the account.
C. Each successive year, $1 \%$ of the current value is added to the value of the account.
D. Each successive year, $\$ 100$ is added to the value of the account.
Answer:
|
Question: Of the following four types of savings account plans, which option would yield exponential growth of the money in the account?
A. Each successive year, $2 \%$ of the initial savings is added to the value of the account.
B. Each successive year, $1.5 \%$ of the initial savings and $\$ 100$ is added to the value of the account.
C. Each successive year, $1 \%$ of the current value is added to the value of the account.
D. Each successive year, $\$ 100$ is added to the value of the account.
Answer:
|
Question: Of the following four types of savings account plans, which option would yield exponential growth of the money in the account?
A. Each successive year, $2 \%$ of the initial savings is added to the value of the account.
B. Each successive year, $1.5 \%$ of the initial savings and $\$ 100$ is added to the value of the account.
C. Each successive year, $1 \%$ of the current value is added to the value of the account.
D. Each successive year, $\$ 100$ is added to the value of the account.
Answer: C
| null |
agi_eval_sat-math::retrieval:92
|
|
19 |
$$.a=1,052+1.08 t.$$.The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between $a$, the speed of a sound wave, in feet per second, and $t$, the air temperature, in degrees Fahrenheit $\left({ }^{\circ} \mathrm{F}\right)$.
Question: Which of the following expresses the air temperature in terms of the speed of a sound wave?
A. $t=\frac{a-1,052}{1.08}$
B. $t=\frac{a+1,052}{1.08}$
C. $t=\frac{1,052-a}{1.08}$
D. $t=\frac{1.08}{a+1,052}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
$$.a=1,052+1.08 t.$$.The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between $a$, the speed of a sound wave, in feet per second, and $t$, the air temperature, in degrees Fahrenheit $\left({ }^{\circ} \mathrm{F}\right)$.
Question: Which of the following expresses the air temperature in terms of the speed of a sound wave?
A. $t=\frac{a-1,052}{1.08}$
B. $t=\frac{a+1,052}{1.08}$
C. $t=\frac{1,052-a}{1.08}$
D. $t=\frac{1.08}{a+1,052}$
Answer:
|
$$.a=1,052+1.08 t.$$.The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between $a$, the speed of a sound wave, in feet per second, and $t$, the air temperature, in degrees Fahrenheit $\left({ }^{\circ} \mathrm{F}\right)$.
Question: Which of the following expresses the air temperature in terms of the speed of a sound wave?
A. $t=\frac{a-1,052}{1.08}$
B. $t=\frac{a+1,052}{1.08}$
C. $t=\frac{1,052-a}{1.08}$
D. $t=\frac{1.08}{a+1,052}$
Answer:
|
$$.a=1,052+1.08 t.$$.The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between $a$, the speed of a sound wave, in feet per second, and $t$, the air temperature, in degrees Fahrenheit $\left({ }^{\circ} \mathrm{F}\right)$.
Question: Which of the following expresses the air temperature in terms of the speed of a sound wave?
A. $t=\frac{a-1,052}{1.08}$
B. $t=\frac{a+1,052}{1.08}$
C. $t=\frac{1,052-a}{1.08}$
D. $t=\frac{1.08}{a+1,052}$
Answer: A
| null |
agi_eval_sat-math::retrieval:19
|
|
37 |
Question: $$\frac{x^{2}-1}{x-1}=-2$$What are all values of $x$ that satisfy the equation above?
A. -3
B. 0
C. 1
D. -3 and -1
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: $$\frac{x^{2}-1}{x-1}=-2$$What are all values of $x$ that satisfy the equation above?
A. -3
B. 0
C. 1
D. -3 and -1
Answer:
|
Question: $$\frac{x^{2}-1}{x-1}=-2$$What are all values of $x$ that satisfy the equation above?
A. -3
B. 0
C. 1
D. -3 and -1
Answer:
|
Question: $$\frac{x^{2}-1}{x-1}=-2$$What are all values of $x$ that satisfy the equation above?
A. -3
B. 0
C. 1
D. -3 and -1
Answer: A
| null |
agi_eval_sat-math::retrieval:37
|
|
70 |
Question: \begin{center}\begin{tabular}{|c|c|}\hline$x$ & $f(x)$ \\\hline0 & 3 \\\hline2 & 1 \\\hline4 & 0 \\\hline5 & -2 \\\hline\end{tabular}\end{center}The function $f$ is defined by a polynomial. Some values of $x$ and $f(x)$ are shown in the table above. Which of the following must be a factor of $f(x)$ ?
A. $x-2$
B. $x-3$
C. $x-4$
D. $x-5$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: \begin{center}\begin{tabular}{|c|c|}\hline$x$ & $f(x)$ \\\hline0 & 3 \\\hline2 & 1 \\\hline4 & 0 \\\hline5 & -2 \\\hline\end{tabular}\end{center}The function $f$ is defined by a polynomial. Some values of $x$ and $f(x)$ are shown in the table above. Which of the following must be a factor of $f(x)$ ?
A. $x-2$
B. $x-3$
C. $x-4$
D. $x-5$
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|}\hline$x$ & $f(x)$ \\\hline0 & 3 \\\hline2 & 1 \\\hline4 & 0 \\\hline5 & -2 \\\hline\end{tabular}\end{center}The function $f$ is defined by a polynomial. Some values of $x$ and $f(x)$ are shown in the table above. Which of the following must be a factor of $f(x)$ ?
A. $x-2$
B. $x-3$
C. $x-4$
D. $x-5$
Answer:
|
Question: \begin{center}\begin{tabular}{|c|c|}\hline$x$ & $f(x)$ \\\hline0 & 3 \\\hline2 & 1 \\\hline4 & 0 \\\hline5 & -2 \\\hline\end{tabular}\end{center}The function $f$ is defined by a polynomial. Some values of $x$ and $f(x)$ are shown in the table above. Which of the following must be a factor of $f(x)$ ?
A. $x-2$
B. $x-3$
C. $x-4$
D. $x-5$
Answer: C
| null |
agi_eval_sat-math::retrieval:70
|
|
134 |
Question: $$x+y=75$$The equation above relates the number of minutes, $x$, Maria spends running each day and the number of minutes, $y$, she spends biking each day. In the equation, what does the number 75 represent?
A. The number of minutes spent running each day
B. The number of minutes spent biking each day
C. The total number of minutes spent running and biking each day
D. The number of minutes spent biking for each minute spent running
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: $$x+y=75$$The equation above relates the number of minutes, $x$, Maria spends running each day and the number of minutes, $y$, she spends biking each day. In the equation, what does the number 75 represent?
A. The number of minutes spent running each day
B. The number of minutes spent biking each day
C. The total number of minutes spent running and biking each day
D. The number of minutes spent biking for each minute spent running
Answer:
|
Question: $$x+y=75$$The equation above relates the number of minutes, $x$, Maria spends running each day and the number of minutes, $y$, she spends biking each day. In the equation, what does the number 75 represent?
A. The number of minutes spent running each day
B. The number of minutes spent biking each day
C. The total number of minutes spent running and biking each day
D. The number of minutes spent biking for each minute spent running
Answer:
|
Question: $$x+y=75$$The equation above relates the number of minutes, $x$, Maria spends running each day and the number of minutes, $y$, she spends biking each day. In the equation, what does the number 75 represent?
A. The number of minutes spent running each day
B. The number of minutes spent biking each day
C. The total number of minutes spent running and biking each day
D. The number of minutes spent biking for each minute spent running
Answer: C
| null |
agi_eval_sat-math::retrieval:134
|
|
143 |
Question: $$a x^{3}+b x^{2}+c x+d=0$$In the equation above, $a, b, c$, and $d$ are constants. If the equation has roots $-1,-3$, and 5 , which of the following is a factor of $a x^{3}+b x^{2}+c x+d$ ?
A. $x-1$
B. $x+1$
C. $x-3$
D. $x+5$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: $$a x^{3}+b x^{2}+c x+d=0$$In the equation above, $a, b, c$, and $d$ are constants. If the equation has roots $-1,-3$, and 5 , which of the following is a factor of $a x^{3}+b x^{2}+c x+d$ ?
A. $x-1$
B. $x+1$
C. $x-3$
D. $x+5$
Answer:
|
Question: $$a x^{3}+b x^{2}+c x+d=0$$In the equation above, $a, b, c$, and $d$ are constants. If the equation has roots $-1,-3$, and 5 , which of the following is a factor of $a x^{3}+b x^{2}+c x+d$ ?
A. $x-1$
B. $x+1$
C. $x-3$
D. $x+5$
Answer:
|
Question: $$a x^{3}+b x^{2}+c x+d=0$$In the equation above, $a, b, c$, and $d$ are constants. If the equation has roots $-1,-3$, and 5 , which of the following is a factor of $a x^{3}+b x^{2}+c x+d$ ?
A. $x-1$
B. $x+1$
C. $x-3$
D. $x+5$
Answer: B
| null |
agi_eval_sat-math::retrieval:143
|
|
212 |
Question: The graph of the exponential function $h$ in the $x y$-plane, where $y=h(x)$, has a $y$-intercept of $d$, where $d$ is a positive constant. Which of the following could define the function $h$ ?
A. $h(x)=-3(d)^{x}$
B. $h(x)=3(x) d$
C. $h(x)=d(-x)^{3}$
D. $h(x)=d(3)^{x}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: The graph of the exponential function $h$ in the $x y$-plane, where $y=h(x)$, has a $y$-intercept of $d$, where $d$ is a positive constant. Which of the following could define the function $h$ ?
A. $h(x)=-3(d)^{x}$
B. $h(x)=3(x) d$
C. $h(x)=d(-x)^{3}$
D. $h(x)=d(3)^{x}$
Answer:
|
Question: The graph of the exponential function $h$ in the $x y$-plane, where $y=h(x)$, has a $y$-intercept of $d$, where $d$ is a positive constant. Which of the following could define the function $h$ ?
A. $h(x)=-3(d)^{x}$
B. $h(x)=3(x) d$
C. $h(x)=d(-x)^{3}$
D. $h(x)=d(3)^{x}$
Answer:
|
Question: The graph of the exponential function $h$ in the $x y$-plane, where $y=h(x)$, has a $y$-intercept of $d$, where $d$ is a positive constant. Which of the following could define the function $h$ ?
A. $h(x)=-3(d)^{x}$
B. $h(x)=3(x) d$
C. $h(x)=d(-x)^{3}$
D. $h(x)=d(3)^{x}$
Answer: D
| null |
agi_eval_sat-math::retrieval:212
|
|
89 |
$$.\begin{aligned}.& S(P)=\frac{1}{2} P+40 \\.& D(P)=220-P.\end{aligned}.$$.The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function $S(P)$ gives the quantity of the product supplied to the market when the price is $P$ dollars, and the function $D(P)$ gives the quantity of the product demanded by the market when the price is $P$ dollars.
Question: How will the quantity of the product supplied to the market change if the price of the product is increased by $\$ 10$ ?
A. The quantity supplied will decrease by 5 units.
B. The quantity supplied will increase by 5 units.
C. The quantity supplied will increase by 10 units.
D. The quantity supplied will increase by 50 units.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
$$.\begin{aligned}.& S(P)=\frac{1}{2} P+40 \\.& D(P)=220-P.\end{aligned}.$$.The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function $S(P)$ gives the quantity of the product supplied to the market when the price is $P$ dollars, and the function $D(P)$ gives the quantity of the product demanded by the market when the price is $P$ dollars.
Question: How will the quantity of the product supplied to the market change if the price of the product is increased by $\$ 10$ ?
A. The quantity supplied will decrease by 5 units.
B. The quantity supplied will increase by 5 units.
C. The quantity supplied will increase by 10 units.
D. The quantity supplied will increase by 50 units.
Answer:
|
$$.\begin{aligned}.& S(P)=\frac{1}{2} P+40 \\.& D(P)=220-P.\end{aligned}.$$.The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function $S(P)$ gives the quantity of the product supplied to the market when the price is $P$ dollars, and the function $D(P)$ gives the quantity of the product demanded by the market when the price is $P$ dollars.
Question: How will the quantity of the product supplied to the market change if the price of the product is increased by $\$ 10$ ?
A. The quantity supplied will decrease by 5 units.
B. The quantity supplied will increase by 5 units.
C. The quantity supplied will increase by 10 units.
D. The quantity supplied will increase by 50 units.
Answer:
|
$$.\begin{aligned}.& S(P)=\frac{1}{2} P+40 \\.& D(P)=220-P.\end{aligned}.$$.The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function $S(P)$ gives the quantity of the product supplied to the market when the price is $P$ dollars, and the function $D(P)$ gives the quantity of the product demanded by the market when the price is $P$ dollars.
Question: How will the quantity of the product supplied to the market change if the price of the product is increased by $\$ 10$ ?
A. The quantity supplied will decrease by 5 units.
B. The quantity supplied will increase by 5 units.
C. The quantity supplied will increase by 10 units.
D. The quantity supplied will increase by 50 units.
Answer: B
| null |
agi_eval_sat-math::retrieval:89
|
|
39 |
Question: In the $x y$-plane, the graph of the function $f(x)=x^{2}+5 x+4$ has two $x$-intercepts. What is the distance between the $x$-intercepts?
A. 1
B. 2
C. 3
D. 4
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: In the $x y$-plane, the graph of the function $f(x)=x^{2}+5 x+4$ has two $x$-intercepts. What is the distance between the $x$-intercepts?
A. 1
B. 2
C. 3
D. 4
Answer:
|
Question: In the $x y$-plane, the graph of the function $f(x)=x^{2}+5 x+4$ has two $x$-intercepts. What is the distance between the $x$-intercepts?
A. 1
B. 2
C. 3
D. 4
Answer:
|
Question: In the $x y$-plane, the graph of the function $f(x)=x^{2}+5 x+4$ has two $x$-intercepts. What is the distance between the $x$-intercepts?
A. 1
B. 2
C. 3
D. 4
Answer: C
| null |
agi_eval_sat-math::retrieval:39
|
|
128 |
Question: Townsend Realty purchased the Glenview Street property and received a $40 \%$ discount off the original price along with an additional $20 \%$ off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?
A. $\$ 350,000$
B. $\$ 291,700$
C. $\$ 233,300$
D. $\$ 175,000$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: Townsend Realty purchased the Glenview Street property and received a $40 \%$ discount off the original price along with an additional $20 \%$ off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?
A. $\$ 350,000$
B. $\$ 291,700$
C. $\$ 233,300$
D. $\$ 175,000$
Answer:
|
Question: Townsend Realty purchased the Glenview Street property and received a $40 \%$ discount off the original price along with an additional $20 \%$ off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?
A. $\$ 350,000$
B. $\$ 291,700$
C. $\$ 233,300$
D. $\$ 175,000$
Answer:
|
Question: Townsend Realty purchased the Glenview Street property and received a $40 \%$ discount off the original price along with an additional $20 \%$ off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?
A. $\$ 350,000$
B. $\$ 291,700$
C. $\$ 233,300$
D. $\$ 175,000$
Answer: B
| null |
agi_eval_sat-math::retrieval:128
|
|
98 |
Question: \begin{center}\begin{tabular}{|l|c|c|}\cline { 2 - 3 }\multicolumn{1}{c|}{} & \multicolumn{2}{c|}{Handedness} \\\hlineGender & Left & Right \\\hline\hlineFemale & & \\\hlineMale & & \\\hline\hlineTotal & 18 & 122 \\\hline\end{tabular}\end{center}The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students atKeisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. If there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
A. 0.410
B. 0.357
C. 0.333
D. 0.250
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: \begin{center}\begin{tabular}{|l|c|c|}\cline { 2 - 3 }\multicolumn{1}{c|}{} & \multicolumn{2}{c|}{Handedness} \\\hlineGender & Left & Right \\\hline\hlineFemale & & \\\hlineMale & & \\\hline\hlineTotal & 18 & 122 \\\hline\end{tabular}\end{center}The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students atKeisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. If there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
A. 0.410
B. 0.357
C. 0.333
D. 0.250
Answer:
|
Question: \begin{center}\begin{tabular}{|l|c|c|}\cline { 2 - 3 }\multicolumn{1}{c|}{} & \multicolumn{2}{c|}{Handedness} \\\hlineGender & Left & Right \\\hline\hlineFemale & & \\\hlineMale & & \\\hline\hlineTotal & 18 & 122 \\\hline\end{tabular}\end{center}The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students atKeisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. If there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
A. 0.410
B. 0.357
C. 0.333
D. 0.250
Answer:
|
Question: \begin{center}\begin{tabular}{|l|c|c|}\cline { 2 - 3 }\multicolumn{1}{c|}{} & \multicolumn{2}{c|}{Handedness} \\\hlineGender & Left & Right \\\hline\hlineFemale & & \\\hlineMale & & \\\hline\hlineTotal & 18 & 122 \\\hline\end{tabular}\end{center}The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students atKeisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. If there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
A. 0.410
B. 0.357
C. 0.333
D. 0.250
Answer: A
| null |
agi_eval_sat-math::retrieval:98
|
|
197 |
Question: $$\frac{1}{2 x+1}+5$$Which of the following is equivalent to the expression above for $x>0$ ?
A. $\frac{2 x+5}{2 x+1}$
B. $\frac{2 x+6}{2 x+1}$
C. $\frac{10 x+5}{2 x+1}$
D. $\frac{10 x+6}{2 x+1}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: $$\frac{1}{2 x+1}+5$$Which of the following is equivalent to the expression above for $x>0$ ?
A. $\frac{2 x+5}{2 x+1}$
B. $\frac{2 x+6}{2 x+1}$
C. $\frac{10 x+5}{2 x+1}$
D. $\frac{10 x+6}{2 x+1}$
Answer:
|
Question: $$\frac{1}{2 x+1}+5$$Which of the following is equivalent to the expression above for $x>0$ ?
A. $\frac{2 x+5}{2 x+1}$
B. $\frac{2 x+6}{2 x+1}$
C. $\frac{10 x+5}{2 x+1}$
D. $\frac{10 x+6}{2 x+1}$
Answer:
|
Question: $$\frac{1}{2 x+1}+5$$Which of the following is equivalent to the expression above for $x>0$ ?
A. $\frac{2 x+5}{2 x+1}$
B. $\frac{2 x+6}{2 x+1}$
C. $\frac{10 x+5}{2 x+1}$
D. $\frac{10 x+6}{2 x+1}$
Answer: D
| null |
agi_eval_sat-math::retrieval:197
|
|
43 |
Question: If $20-x=15$, what is the value of $3 x ?$
A. 5
B. 10
C. 15
D. 35
Answer:
|
[
"A",
"B",
"C",
"D"
] | 2 |
Question: If $20-x=15$, what is the value of $3 x ?$
A. 5
B. 10
C. 15
D. 35
Answer:
|
Question: If $20-x=15$, what is the value of $3 x ?$
A. 5
B. 10
C. 15
D. 35
Answer:
|
Question: If $20-x=15$, what is the value of $3 x ?$
A. 5
B. 10
C. 15
D. 35
Answer: C
| null |
agi_eval_sat-math::retrieval:43
|
|
65 |
Question: If $3 r=18$, what is the value of $6 r+3$ ?
A. 6
B. 27
C. 36
D. 39
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: If $3 r=18$, what is the value of $6 r+3$ ?
A. 6
B. 27
C. 36
D. 39
Answer:
|
Question: If $3 r=18$, what is the value of $6 r+3$ ?
A. 6
B. 27
C. 36
D. 39
Answer:
|
Question: If $3 r=18$, what is the value of $6 r+3$ ?
A. 6
B. 27
C. 36
D. 39
Answer: D
| null |
agi_eval_sat-math::retrieval:65
|
|
174 |
Question: $$\begin{aligned}y & >2 x-1 \\2 x & >5\end{aligned}$$Which of the following consists of the $y$-coordinates of all the points that satisfy the system of inequalities above?
A. $y>6$
B. $y>4$
C. $y>\frac{5}{2}$
D. $y>\frac{3}{2}$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: $$\begin{aligned}y & >2 x-1 \\2 x & >5\end{aligned}$$Which of the following consists of the $y$-coordinates of all the points that satisfy the system of inequalities above?
A. $y>6$
B. $y>4$
C. $y>\frac{5}{2}$
D. $y>\frac{3}{2}$
Answer:
|
Question: $$\begin{aligned}y & >2 x-1 \\2 x & >5\end{aligned}$$Which of the following consists of the $y$-coordinates of all the points that satisfy the system of inequalities above?
A. $y>6$
B. $y>4$
C. $y>\frac{5}{2}$
D. $y>\frac{3}{2}$
Answer:
|
Question: $$\begin{aligned}y & >2 x-1 \\2 x & >5\end{aligned}$$Which of the following consists of the $y$-coordinates of all the points that satisfy the system of inequalities above?
A. $y>6$
B. $y>4$
C. $y>\frac{5}{2}$
D. $y>\frac{3}{2}$
Answer: B
| null |
agi_eval_sat-math::retrieval:174
|
|
129 |
Question: A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, $p$ people chose the first picture in the set. If more than $20 \%$ of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of $p$ ?
A. $p>0.20(300-36)$, where $p \leq 150$
B. $p>0.20(300+36)$, where $p \leq 150$
C. $p-36>0.20(300)$, where $p \leq 150$
D. $p+36>0.20(300)$, where $p \leq 150$
Answer:
|
[
"A",
"B",
"C",
"D"
] | 3 |
Question: A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, $p$ people chose the first picture in the set. If more than $20 \%$ of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of $p$ ?
A. $p>0.20(300-36)$, where $p \leq 150$
B. $p>0.20(300+36)$, where $p \leq 150$
C. $p-36>0.20(300)$, where $p \leq 150$
D. $p+36>0.20(300)$, where $p \leq 150$
Answer:
|
Question: A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, $p$ people chose the first picture in the set. If more than $20 \%$ of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of $p$ ?
A. $p>0.20(300-36)$, where $p \leq 150$
B. $p>0.20(300+36)$, where $p \leq 150$
C. $p-36>0.20(300)$, where $p \leq 150$
D. $p+36>0.20(300)$, where $p \leq 150$
Answer:
|
Question: A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, $p$ people chose the first picture in the set. If more than $20 \%$ of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of $p$ ?
A. $p>0.20(300-36)$, where $p \leq 150$
B. $p>0.20(300+36)$, where $p \leq 150$
C. $p-36>0.20(300)$, where $p \leq 150$
D. $p+36>0.20(300)$, where $p \leq 150$
Answer: D
| null |
agi_eval_sat-math::retrieval:129
|
|
138 |
Question: If $f(x)=\frac{x^{2}-6 x+3}{x-1}$, what is $f(-1)$ ?
A. -5
B. -2
C. 2
D. 5
Answer:
|
[
"A",
"B",
"C",
"D"
] | 0 |
Question: If $f(x)=\frac{x^{2}-6 x+3}{x-1}$, what is $f(-1)$ ?
A. -5
B. -2
C. 2
D. 5
Answer:
|
Question: If $f(x)=\frac{x^{2}-6 x+3}{x-1}$, what is $f(-1)$ ?
A. -5
B. -2
C. 2
D. 5
Answer:
|
Question: If $f(x)=\frac{x^{2}-6 x+3}{x-1}$, what is $f(-1)$ ?
A. -5
B. -2
C. 2
D. 5
Answer: A
| null |
agi_eval_sat-math::retrieval:138
|
|
3 |
Question: Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation $P=108-23 d$, where $P$ is the number of phones left and $d$ is the number of days she has worked that week. What is the meaning of the value 108 in this equation?
A. Kathy will complete the repairs within 108 days.
B. Kathy starts each week with 108 phones to fix.
C. Kathy repairs phones at a rate of 108 per hour.
D. Kathy repairs phones at a rate of 108 per day.
Answer:
|
[
"A",
"B",
"C",
"D"
] | 1 |
Question: Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation $P=108-23 d$, where $P$ is the number of phones left and $d$ is the number of days she has worked that week. What is the meaning of the value 108 in this equation?
A. Kathy will complete the repairs within 108 days.
B. Kathy starts each week with 108 phones to fix.
C. Kathy repairs phones at a rate of 108 per hour.
D. Kathy repairs phones at a rate of 108 per day.
Answer:
|
Question: Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation $P=108-23 d$, where $P$ is the number of phones left and $d$ is the number of days she has worked that week. What is the meaning of the value 108 in this equation?
A. Kathy will complete the repairs within 108 days.
B. Kathy starts each week with 108 phones to fix.
C. Kathy repairs phones at a rate of 108 per hour.
D. Kathy repairs phones at a rate of 108 per day.
Answer:
|
Question: Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation $P=108-23 d$, where $P$ is the number of phones left and $d$ is the number of days she has worked that week. What is the meaning of the value 108 in this equation?
A. Kathy will complete the repairs within 108 days.
B. Kathy starts each week with 108 phones to fix.
C. Kathy repairs phones at a rate of 108 per hour.
D. Kathy repairs phones at a rate of 108 per day.
Answer: B
| null |
agi_eval_sat-math::retrieval:3
|
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