query stringlengths 120 1.2k | choices list | gold list |
|---|---|---|
Q: If $\frac{2 n}{5}=10$, what is the value of $2 n-1 ?$ Answer Choices: (A)24 (B)49 (C)50 (D)99
A: Among A through D, the answer is | [
"(A)24",
"(B)49",
"(C)50",
"(D)99"
] | [
1
] |
Q: $$\sqrt{x^{2}}=x$$Which of the following values of $x$ is NOT a solution to the equation above? Answer Choices: (A)-4 (B)0 (C)1 (D)3
A: Among A through D, the answer is | [
"(A)-4",
"(B)0",
"(C)1",
"(D)3"
] | [
0
] |
Q: Washington High School randomly selected freshman, sophomore, junior, and senior students for a survey about potential changes to next year's schedule. Of students selected for the survey, $\frac{1}{4}$ were freshmen and $\frac{1}{3}$ were sophomores. Half of the remaining selected students were juniors. If336 stude... | [
"(A)240",
"(B)140",
"(C)120",
"(D)70"
] | [
3
] |
Q: Plant A is currently 20 centimeters tall, and Plant B is currently 12 centimeters tall. The ratio of the heights of Plant A to Plant B is equal to the ratio of the heights of Plant $\mathrm{C}$ to Plant D. If Plant $\mathrm{C}$ is 54 centimeters tall, what is the height of Plant $\mathrm{D}$, in centimeters? Answer ... | [
"(A)32.4",
"(B)44.0",
"(C)62.0",
"(D)90.0"
] | [
0
] |
Q: 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) Answer Choices: (A)2 (B)3 (C)4 (D)5
A: Among A through D... | [
"(A)2",
"(B)3",
"(C)4",
"(D)5"
] | [
3
] |
Q: 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? Answer Choices... | [
"(A)2",
"(B)4",
"(C)5",
"(D)6"
] | [
2
] |
Q: A company purchased a machine valued at $\$ 120,000$. The value of the machine depreciates by the same amount each year so that after 10 years the value will be $\$ 30,000$. Which of the following equations gives the value, $v$, of the machine, in dollars, $t$ years after it was purchased for $0 \leq t \leq 10 ?$ An... | [
"(A)$v=30,000-9,000 t$",
"(B)$v=120,000-9,000 t$",
"(C)$v=120,000+9,000 t$",
"(D)$v=120,000-30,000 t$"
] | [
1
] |
Q: Line $m$ in the $x y$-plane contains the points $(2,4)$ and $(0,1)$. Which of the following is an equation of line $m$ ? Answer Choices: (A)$y=2 x+3$ (B)$y=2 x+4$ (C)$y=\frac{3}{2} x+3$ (D)$y=\frac{3}{2} x+1$
A: Among A through D, the answer is | [
"(A)$y=2 x+3$",
"(B)$y=2 x+4$",
"(C)$y=\\frac{3}{2} x+3$",
"(D)$y=\\frac{3}{2} x+1$"
] | [
3
] |
Q: $$(4 x+4)(a x-1)-x^{2}+4$$In the expression above, $a$ is a constant. If the expression is equivalent to $b x$, where $b$ is a constant, what is the value of $b$ ? Answer Choices: (A)-5 (B)-3 (C)0 (D)12
A: Among A through D, the answer is | [
"(A)-5",
"(B)-3",
"(C)0",
"(D)12"
] | [
1
] |
Q: If $2 w+4 t=14$ and $4 w+5 t=25$, what is the value of $2 w+3 t ?$ Answer Choices: (A)6 (B)10 (C)13 (D)17
A: Among A through D, the answer is | [
"(A)6",
"(B)10",
"(C)13",
"(D)17"
] | [
2
] |
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 fo... | [
"(A)$p=0.5 x$",
"(B)$p=5 x$",
"(C)$p=(0.05)^{x}$",
"(D)$p=(1.05)^{x}$"
] | [
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 fo... | [
"(A)$\\frac{1}{8} \\operatorname{cup}$",
"(B)$\\frac{1}{4} \\operatorname{cup}$",
"(C)$\\frac{1}{3} \\operatorname{cup}$",
"(D)$\\frac{1}{2} \\operatorname{cup}$"
] | [
1
] |
Q: 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 $h$ ? Answer Choices: (A)$h(x)=-3(d)^{x}$ (B)$h(x)=3(x) d$ (C)$h(x)=d(-x)^{3}$ (D)$h(x)=d(3)^{x}$
A: Among A through D, the answ... | [
"(A)$h(x)=-3(d)^{x}$",
"(B)$h(x)=3(x) d$",
"(C)$h(x)=d(-x)^{3}$",
"(D)$h(x)=d(3)^{x}$"
] | [
3
] |
Q: 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 usi... | [
"(A)Mean",
"(B)Median",
"(C)Range",
"(D)Standard deviation"
] | [
1
] |
Q: 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 expl... | [
"(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 al... | [
1
] |
Q: If $f(x)=5 x^{2}-3$ and $f(x+a)=5 x^{2}+30 x+42$, what is the value of $a$ ? Answer Choices: (A)-30 (B)$\quad-3$ (C)3 (D)30
A: Among A through D, the answer is | [
"(A)-30",
"(B)$\\quad-3$",
"(C)3",
"(D)30"
] | [
2
] |
Q: If $\sin x^{\circ}=a$, which of the following must be true for all values of $x$ ? Answer Choices: (A)$\cos x^{\circ}=a$ (B)$\sin \left(90^{\circ}-x^{\circ}\right)=a$ (C)$\cos \left(90^{\circ}-x^{\circ}\right)=a$ (D)$\sin \left(x^{2}\right)^{\circ}=a^{2}$
A: Among A through D, the answer is | [
"(A)$\\cos x^{\\circ}=a$",
"(B)$\\sin \\left(90^{\\circ}-x^{\\circ}\\right)=a$",
"(C)$\\cos \\left(90^{\\circ}-x^{\\circ}\\right)=a$",
"(D)$\\sin \\left(x^{2}\\right)^{\\circ}=a^{2}$"
] | [
2
] |
Q: $$h(x)=-16 x^{2}+100 x+10$$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? An... | [
"(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"
] | [
3
] |
Q: In the $x y$-plane, the graph of the polynomial function $f$ crosses the $x$-axis at exactly two points, $(a, 0)$ and $(b, 0)$, where $a$ and $b$ are both positive. Which of the following could define $f$ ? Answer Choices: (A)$f(x)=(x-a)(x-b)$ (B)$f(x)=(x+a)(x+b)$ (C)$f(x)=(x-a)(x+b)$ (D)$f(x)=x(x-a)(x-b)$
A: Among ... | [
"(A)$f(x)=(x-a)(x-b)$",
"(B)$f(x)=(x+a)(x+b)$",
"(C)$f(x)=(x-a)(x+b)$",
"(D)$f(x)=x(x-a)(x-b)$"
] | [
0
] |
Q: If $y=3 x^{2}+6 x+2$ is graphed in the $x y$-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation? Answer Choices: (A)$y$-coordinate of the vertex (B)$x$-intercept $(\mathrm{s})$ (C)$y$-intercept (D)$x$-intercept of the line of symmetry
A: Among A throu... | [
"(A)$y$-coordinate of the vertex",
"(B)$x$-intercept $(\\mathrm{s})$",
"(C)$y$-intercept",
"(D)$x$-intercept of the line of symmetry"
] | [
2
] |
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