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ArXiv:
Tags:
query
stringlengths 120
1.2k
| choices
sequence | gold
sequence |
|---|---|---|
Q: If $\frac{x-1}{3}=k$ and $k=3$, what is the value of $x ?$ Answer Choices: (A)2 (B)4 (C)9 (D)10
A: Among A through D, the answer is | [
"(A)2",
"(B)4",
"(C)9",
"(D)10"
] | [
3
] |
Q: For $i=\sqrt{-1}$, what is the sum $(7+3 i)+(-8+9 i) ?$ Answer Choices: (A)$-1+12 i$ (B)$-1-6 i$ (C)$15+12 i$ (D)$15-6 i$ 3
A: Among A through D, the answer is | [
"(A)$-1+12 i$",
"(B)$-1-6 i$",
"(C)$15+12 i$",
"(D)$15-6 i$ 3"
] | [
0
] |
Q: On Saturday afternoon, Armand sent $m$ text messages each hour for 5 hours, and Tyrone sent $p$ text messages each hour for 4 hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon? Answer Choices: (A)$9 m p$ (B)$20 m p$ (C)$5 m+4 p$ (D)$4 m+5 p$
A: Among A through D, the answer is | [
"(A)$9 m p$",
"(B)$20 m p$",
"(C)$5 m+4 p$",
"(D)$4 m+5 p$"
] | [
2
] |
Q: 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? Answer Choices: (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.
A: Among A through D, the answer is | [
"(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."
] | [
1
] |
Q: $$\left(x^{2} y-3 y^{2}+5 x y^{2}\right)-\left(-x^{2} y+3 x y^{2}-3 y^{2}\right)$$Which of the following is equivalent to the expression above? Answer Choices: (A)$4 x^{2} y^{2}$ (B)$8 x y^{2}-6 y^{2}$ (C)$2 x^{2} y+2 x y^{2}$ (D)$2 x^{2} y+8 x y^{2}-6 y^{2}$
A: Among A through D, the answer is | [
"(A)$4 x^{2} y^{2}$",
"(B)$8 x y^{2}-6 y^{2}$",
"(C)$2 x^{2} y+2 x y^{2}$",
"(D)$2 x^{2} y+8 x y^{2}-6 y^{2}$"
] | [
2
] |
Q: $$h=3 a+28.6$$A pediatrician uses the model above to estimate the height $h$ of a boy, in inches, in terms of the boy's age $a$, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy's height each year? Answer Choices: (A)3 (B)$\quad 5.7$ (C)9.5 (D)14.3
A: Among A through D, the answer is | [
"(A)3",
"(B)$\\quad 5.7$",
"(C)9.5",
"(D)14.3"
] | [
0
] |
Q: $$m=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1,200}\right)^{N}-1} P$$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 $N$ ? Answer Choices: (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)$P=\left(\frac{1,200}{r}\right) m$
A: Among A through D, the answer is | [
"(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)$P=\\left(\\frac{1,200}{r}\\right) m$"
] | [
1
] |
Q: If $\frac{a}{b}=2$, what is the value of $\frac{4 b}{a} ?$ Answer Choices: (A)0 (B)1 (C)2 (D)4
A: Among A through D, the answer is | [
"(A)0",
"(B)1",
"(C)2",
"(D)4"
] | [
2
] |
Q: $$\begin{array}{r}3 x+4 y=-23 \\2 y-x=-19\end{array}$$What is the solution $(x, y)$ to the system of equations above? Answer Choices: (A)$(-5,-2)$ (B)$(3,-8)$ (C)$(4,-6)$ (D)$(9,-6)$
A: Among A through D, the answer is | [
"(A)$(-5,-2)$",
"(B)$(3,-8)$",
"(C)$(4,-6)$",
"(D)$(9,-6)$"
] | [
1
] |
Q: $$g(x)=a x^{2}+24$$For the function $g$ defined above, $a$ is a constant and $g(4)=8$. What is the value of $g(-4)$ ? Answer Choices: (A)8 (B)0 (C)-1 (D)-8
A: Among A through D, the answer is | [
"(A)8",
"(B)0",
"(C)-1",
"(D)-8"
] | [
0
] |
Q: $$\begin{aligned}& b=2.35+0.25 x \\& c=1.75+0.40 x\end{aligned}$$In the equations above, $b$ and $c$ represent the price per pound, in dollars, of beef and chicken, respectively, $x$ weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken? Answer Choices: (A)$\$ 2.60$ (B)$\$ 2.85$ (C)$\$ 2.95$ (D)$\$ 3.35$
A: Among A through D, the answer is | [
"(A)$\\$ 2.60$",
"(B)$\\$ 2.85$",
"(C)$\\$ 2.95$",
"(D)$\\$ 3.35$"
] | [
3
] |
Q: 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? Answer Choices: (A)$(0,7)$ (B)$(1,7)$ (C)$(7,7)$ (D)$(14,2)$
A: Among A through D, the answer is | [
"(A)$(0,7)$",
"(B)$(1,7)$",
"(C)$(7,7)$",
"(D)$(14,2)$"
] | [
3
] |
Q: If $x>3$, which of the following is equivalent to $\frac{1}{\frac{1}{x+2}+\frac{1}{x+3}}$ ? Answer Choices: (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)$x^{2}+5 x+6$
A: Among A through D, the answer is | [
"(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)$x^{2}+5 x+6$"
] | [
1
] |
Q: If $3 x-y=12$, what is the value of $\frac{8^{x}}{2^{y}} ?$ Answer Choices: (A)$2^{12}$ (B)4 (C)$8^{2}$ (D)The value cannot be determined from the information given.
A: Among A through D, the answer is | [
"(A)$2^{12}$",
"(B)4",
"(C)$8^{2}$",
"(D)The value cannot be determined from the information given."
] | [
0
] |
Q: If $(a x+2)(b x+7)=15 x^{2}+c x+14$ for all values of $x$, and $a+b=8$, what are the two possible values for $c$ ? Answer Choices: (A)3 and 5 (B)6 and 35 (C)10 and 21 (D)31 and 41
A: Among A through D, the answer is | [
"(A)3 and 5",
"(B)6 and 35",
"(C)10 and 21",
"(D)31 and 41"
] | [
3
] |
Q: If $y=k x$, where $k$ is a constant, and $y=24$ when $x=6$, what is the value of $y$ when $x=5$ ? Answer Choices: (A)6 (B)15 (C)20 (D)23
A: Among A through D, the answer is | [
"(A)6",
"(B)15",
"(C)20",
"(D)23"
] | [
2
] |
Q: If $16+4 x$ is 10 more than 14 , what is the value of $8 x$ ? Answer Choices: (A)2 (B)6 (C)16 (D)80 5
A: Among A through D, the answer is | [
"(A)2",
"(B)6",
"(C)16",
"(D)80 5"
] | [
2
] |
Q: $$\begin{aligned}1 \text { decagram } & =10 \text { grams } \\1,000 \text { milligrams } & =1 \text { gram }\end{aligned}$$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? Answer Choices: (A)$\quad 0.002$ (B)$\quad 200$ (C)$\quad 2,000$ (D)20,000
A: Among A through D, the answer is | [
"(A)$\\quad 0.002$",
"(B)$\\quad 200$",
"(C)$\\quad 2,000$",
"(D)20,000"
] | [
3
] |
Q: For what value of $n$ is $|n-1|+1$ equal to 0 ? Answer Choices: (A)0 (B)1 (C)2 (D)There is no such value of $n$.
A: Among A through D, the answer is | [
"(A)0",
"(B)1",
"(C)2",
"(D)There is no such value of $n$."
] | [
3
] |
$$.a=1,052+1.08 t.$$.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 $\left({ }^{\circ} \mathrm{F}\right)$.Q: Which of the following expresses the air temperature in terms of the speed of a sound wave? Answer Choices: (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)$t=\frac{1.08}{a+1,052}$
A: Among A through D, the answer is | [
"(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)$t=\\frac{1.08}{a+1,052}$"
] | [
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 $\left({ }^{\circ} \mathrm{F}\right)$.Q: At which of the following air temperatures will the speed of a sound wave be closest to 1,000 feet per second? Answer Choices: (A)$-46^{\circ} \mathrm{F}$ (B)$-48^{\circ} \mathrm{F}$ (C)$-49^{\circ} \mathrm{F}$ (D)$-50^{\circ} \mathrm{F}$
A: Among A through D, the answer is | [
"(A)$-46^{\\circ} \\mathrm{F}$",
"(B)$-48^{\\circ} \\mathrm{F}$",
"(C)$-49^{\\circ} \\mathrm{F}$",
"(D)$-50^{\\circ} \\mathrm{F}$"
] | [
1
] |
Q: Which of the following numbers is NOT a solution of the inequality $3 x-5 \geq 4 x-3$ ? Answer Choices: (A)-1 (B)-2 (C)-3 (D)-5
A: Among A through D, the answer is | [
"(A)-1",
"(B)-2",
"(C)-3",
"(D)-5"
] | [
0
] |
Q: \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? Answer Choices: (A)Females taking Geometry (B)Females taking Algebra II (C)Males taking Geometry (D)Males taking Algebra I
A: Among A through D, the answer is | [
"(A)Females taking Geometry",
"(B)Females taking Algebra II",
"(C)Males taking Geometry",
"(D)Males taking Algebra I"
] | [
2
] |
Q: \begin{center}\begin{tabular}{|c|c|c|c|c|c|c|}\hline\multicolumn{7}{|c|}{Lengths of Fish (in inches)} \\\hline8 & 9 & 9 & 9 & 10 & 10 & 11 \\\hline11 & 12 & 12 & 12 & 12 & 13 & 13 \\\hline13 & 14 & 14 & 15 & 15 & 16 & 24 \\\hline\end{tabular}\end{center}The table above lists the lengths, to the nearest inch, of a random sample of 21 brown bullhead fish. The outlier measurement of 24 inches is an error. Of the mean, median, and range of the values listed, which will change the most if the 24 -inch measurement is removed from the data? Answer Choices: (A)Mean (B)Median (C)Range (D)They will all change by the same amount.
A: Among A through D, the answer is | [
"(A)Mean",
"(B)Median",
"(C)Range",
"(D)They will all change by the same amount."
] | [
2
] |
Q: $$\begin{aligned}& y<-x+a \\& y>x+b\end{aligned}$$In the $x y$-plane, if $(0,0)$ is a solution to the system of inequalities above, which of the following relationships between $a$ and $b$ must be true? Answer Choices: (A)$a>b$ (B)$b>a$ (C)$|a|>|b|$ (D)$a=-b$
A: Among A through D, the answer is | [
"(A)$a>b$",
"(B)$b>a$",
"(C)$|a|>|b|$",
"(D)$a=-b$"
] | [
0
] |
Q: 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? Answer Choices: (A)77 (B)93 (C)99 (D)105
A: Among A through D, the answer is | [
"(A)77",
"(B)93",
"(C)99",
"(D)105"
] | [
1
] |
Q: Alma bought a laptop computer at a store that gave a 20 percent discount off its original price. The total amount she paid to the cashier was $p$ dollars, including an 8 percent sales tax on the discounted price. Which of the following represents the original price of the computer in terms of $p$ ? Answer Choices: (A)$0.88 p$ (B)$\frac{p}{0.88}$ (C)$(0.8)(1.08) p$ (D)$\frac{p}{(0.8)(1.08)}$
A: Among A through D, the answer is | [
"(A)$0.88 p$",
"(B)$\\frac{p}{0.88}$",
"(C)$(0.8)(1.08) p$",
"(D)$\\frac{p}{(0.8)(1.08)}$"
] | [
3
] |
Q: Dreams Recalled during One Week\begin{center}\begin{tabular}{|l|c|c|c|c|}\hline& None & 1 to 4 & 5 or more & Total \\\hline\hlineGroup X & 15 & 28 & 57 & 100 \\\hlineGroup Y & 21 & 11 & 68 & 100 \\\hlineTotal & 36 & 39 & 125 & 200 \\\hline\end{tabular}\end{center}The data in the table above were produced by a sleep researcher studying the number of dreams people recall when asked to record their dreams for one week. Group X consisted of 100 people who observed early bedtimes, and Group Y consisted of 100 people who observed later bedtimes. If a person is chosen at random from those who recalled at least 1 dream, what is the probability that the person belonged to Group Y ? Answer Choices: (A)$\frac{68}{100}$ (B)$\frac{79}{100}$ (C)$\frac{79}{164}$ (D)$\frac{164}{200}$
A: Among A through D, the answer is | [
"(A)$\\frac{68}{100}$",
"(B)$\\frac{79}{100}$",
"(C)$\\frac{79}{164}$",
"(D)$\\frac{164}{200}$"
] | [
2
] |
Q: Which of the following is an equation of a circle in the $x y$-plane with center $(0,4)$ and a radius with endpoint $\left(\frac{4}{3}, 5\right) ?$ Answer Choices: (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)$x^{2}+(y+4)^{2}=\frac{3}{5}$
A: Among A through D, the answer is | [
"(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)$x^{2}+(y+4)^{2}=\\frac{3}{5}$"
] | [
0
] |
Q: $$h=-4.9 t^{2}+25 t$$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? Answer Choices: (A)3.5 (B)4.0 (C)4.5 (D)5.0
A: Among A through D, the answer is | [
"(A)3.5",
"(B)4.0",
"(C)4.5",
"(D)5.0"
] | [
3
] |
Q: 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? Answer Choices: (A)115 (B)120 (C)124 (D)173
A: Among A through D, the answer is | [
"(A)115",
"(B)120",
"(C)124",
"(D)173"
] | [
1
] |
Q: 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? Answer Choices: (A)$\quad 150$ (B)$\quad 1,500$ (C)15,000 (D)150,000
A: Among A through D, the answer is | [
"(A)$\\quad 150$",
"(B)$\\quad 1,500$",
"(C)15,000",
"(D)150,000"
] | [
2
] |
Q: For a polynomial $p(x)$, the value of $p(3)$ is -2 .Which of the following must be true about $p(x)$ ? Answer Choices: (A)$x-5$ is a factor of $p(x)$. (B)$x-2$ is a factor of $p(x)$. (C)$x+2$ is a factor of $p(x)$. (D)The remainder when $p(x)$ is divided by $x-3$ is -2 .
A: Among A through D, the answer is | [
"(A)$x-5$ is a factor of $p(x)$.",
"(B)$x-2$ is a factor of $p(x)$.",
"(C)$x+2$ is a factor of $p(x)$.",
"(D)The remainder when $p(x)$ is divided by $x-3$ is -2 ."
] | [
3
] |
Q: $$2 z+1=z$$What value of $z$ satisfies the equation above? Answer Choices: (A)-2 (B)-1 (C)$\frac{1}{2}$ (D)1
A: Among A through D, the answer is | [
"(A)-2",
"(B)-1",
"(C)$\\frac{1}{2}$",
"(D)1"
] | [
1
] |
Q: 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? Answer Choices: (A)$300=30 w-60$ (B)$300=30 w$ (C)$300=30 w+60$ (D)$300=60 w-30$
A: Among A through D, the answer is | [
"(A)$300=30 w-60$",
"(B)$300=30 w$",
"(C)$300=30 w+60$",
"(D)$300=60 w-30$"
] | [
2
] |
Q: Shipping Charges\begin{center}\begin{tabular}{|c|c|}\hline$\begin{array}{c}\text { Merchandise weight } \\ \text { (pounds) }\end{array}$ & $\begin{array}{c}\text { Shipping } \\ \text { charge }\end{array}$ \\\hline5 & $\$ 16.94$ \\\hline10 & $\$ 21.89$ \\\hline20 & $\$ 31.79$ \\\hline40 & $\$ 51.59$ \\\hline\end{tabular}\end{center}The table above shows shipping charges for an online retailer that sells sporting goods. There is a linear relationship between the shipping charge and the weight of the merchandise. Which function can be used to determine the total shipping charge $f(x)$, in dollars, for an order with a merchandise weight of $x$ pounds? Answer Choices: (A)$f(x)=0.99 x$ (B)$f(x)=0.99 x+11.99$ (C)$f(x)=3.39 x$ (D)$f(x)=3.39 x+16.94$
A: Among A through D, the answer is | [
"(A)$f(x)=0.99 x$",
"(B)$f(x)=0.99 x+11.99$",
"(C)$f(x)=3.39 x$",
"(D)$f(x)=3.39 x+16.94$"
] | [
1
] |
Q: $$\sqrt{9 x^{2}}$$If $x>0$, which of the following is equivalent to the given expression? Answer Choices: (A)$3 x$ (B)$3 x^{2}$ (C)$18 x$ (D)$18 x^{4}$
A: Among A through D, the answer is | [
"(A)$3 x$",
"(B)$3 x^{2}$",
"(C)$18 x$",
"(D)$18 x^{4}$"
] | [
0
] |
Q: $$\frac{x^{2}-1}{x-1}=-2$$What are all values of $x$ that satisfy the equation above? Answer Choices: (A)-3 (B)0 (C)1 (D)-3 and -1
A: Among A through D, the answer is | [
"(A)-3",
"(B)0",
"(C)1",
"(D)-3 and -1"
] | [
0
] |
Q: A circle in the $x y$-plane has center $(5,7)$ and radius 2. Which of the following is an equation of the circle? Answer Choices: (A)$(x-5)^{2}+(y-7)^{2}=4$ (B)$(x+5)^{2}+(y+7)^{2}=4$ (C)$(x-5)^{2}+(y-7)^{2}=2$ (D)$(x+5)^{2}+(y+7)^{2}=2$
A: Among A through D, the answer is | [
"(A)$(x-5)^{2}+(y-7)^{2}=4$",
"(B)$(x+5)^{2}+(y+7)^{2}=4$",
"(C)$(x-5)^{2}+(y-7)^{2}=2$",
"(D)$(x+5)^{2}+(y+7)^{2}=2$"
] | [
0
] |
Q: 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? Answer Choices: (A)1 (B)2 (C)3 (D)4
A: Among A through D, the answer is | [
"(A)1",
"(B)2",
"(C)3",
"(D)4"
] | [
2
] |
Q: $$\sqrt{4 x}=x-3$$What are all values of $x$ that satisfy the given equation?I. 1II. 9 Answer Choices: (A)I only (B)II only (C)I and II (D)Neither I nor II
A: Among A through D, the answer is | [
"(A)I only",
"(B)II only",
"(C)I and II",
"(D)Neither I nor II"
] | [
1
] |
Q: $$\begin{aligned}& -3 x+y=6 \\& a x+2 y=4\end{aligned}$$In the system of equations above, $a$ is a constant. For which of the following values of $a$ does the system have no solution? Answer Choices: (A)-6 (B)-3 (C)3 (D)6
A: Among A through D, the answer is | [
"(A)-6",
"(B)-3",
"(C)3",
"(D)6"
] | [
0
] |
Q: A helicopter, initially hovering 40 feet above the ground, begins to gain altitude at a rate of 21 feet per second. Which of the following functions represents the helicopter's altitude above the ground $y$, in feet, $t$ seconds after the helicopter begins to gain altitude? Answer Choices: (A)$y=40+21$ (B)$y=40+21 t$ (C)$y=40-21 t$ (D)$y=40 t+21$
A: Among A through D, the answer is | [
"(A)$y=40+21$",
"(B)$y=40+21 t$",
"(C)$y=40-21 t$",
"(D)$y=40 t+21$"
] | [
1
] |
Q: If $20-x=15$, what is the value of $3 x ?$ Answer Choices: (A)5 (B)10 (C)15 (D)35
A: Among A through D, the answer is | [
"(A)5",
"(B)10",
"(C)15",
"(D)35"
] | [
2
] |
Q: $$f(x)=\frac{x+3}{2}$$For the function $f$ defined above, what is the value of $f(-1)$ ? Answer Choices: (A)-2 (B)-1 (C)1 (D)2
A: Among A through D, the answer is | [
"(A)-2",
"(B)-1",
"(C)1",
"(D)2"
] | [
2
] |
Q: Which of the following is equivalent to $2 x\left(x^{2}-3 x\right)$ ? Answer Choices: (A)$-4 x^{2}$ (B)$3 x^{3}-x^{2}$ (C)$2 x^{3}-3 x$ (D)$2 x^{3}-6 x^{2}$
A: Among A through D, the answer is | [
"(A)$-4 x^{2}$",
"(B)$3 x^{3}-x^{2}$",
"(C)$2 x^{3}-3 x$",
"(D)$2 x^{3}-6 x^{2}$"
] | [
3
] |
Q: A retail company has 50 large stores located in different areas throughout a state. A researcher for the company believes that employee job satisfaction varies greatly from store to store. Which of the following sampling methods is most appropriate to estimate the proportion of all employees of the company who are satisfied with their job? Answer Choices: (A)Selecting one of the 50 stores at random and then surveying each employee at that store (B)Selecting 10 employees from each store at random and then surveying each employee selected (C)Surveying the 25 highest-paid employees and the 25 lowest-paid employees (D)Creating a website on which employees can express their opinions and then using the first 50 responses
A: Among A through D, the answer is | [
"(A)Selecting one of the 50 stores at random and then surveying each employee at that store",
"(B)Selecting 10 employees from each store at random and then surveying each employee selected",
"(C)Surveying the 25 highest-paid employees and the 25 lowest-paid employees",
"(D)Creating a website on which employees can express their opinions and then using the first 50 responses"
] | [
1
] |
Q: $$h(x)=2^{x}$$The function $h$ is defined above. What is $h(5)-h(3) ?$ Answer Choices: (A)2 (B)4 (C)24 (D)28
A: Among A through D, the answer is | [
"(A)2",
"(B)4",
"(C)24",
"(D)28"
] | [
2
] |
Q: 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? Answer Choices: (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 $27 \%$.
A: Among A through D, the answer is | [
"(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 $27 \\%$."
] | [
3
] |
Q: \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 ? Answer Choices: (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.
A: Among A through D, the answer is | [
"(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."
] | [
0
] |
Q: 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.) Answer Choices: (A)$\$ 7.20$ (B)$\$ 10.80$ (C)$\$ 30.00$ (D)$\$ 45.00$
A: Among A through D, the answer is | [
"(A)$\\$ 7.20$",
"(B)$\\$ 10.80$",
"(C)$\\$ 30.00$",
"(D)$\\$ 45.00$"
] | [
2
] |
Q: A right circular cone has a volume of $24 \pi$ cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone? Answer Choices: (A)$2 \sqrt{3}$ (B)6 (C)12 (D)36
A: Among A through D, the answer is | [
"(A)$2 \\sqrt{3}$",
"(B)6",
"(C)12",
"(D)36"
] | [
1
] |
Q: In 2015 the populations of City $\mathrm{X}$ and City $\mathrm{Y}$ were equal. From 2010 to 2015, the population of City X increased by $20 \%$ and the population of City $\mathrm{Y}$ decreased by $10 \%$. If the population of City $\mathrm{X}$ was 120,000 in 2010, what was the population of City Y in 2010 ? Answer Choices: (A)60,000 (B)90,000 (C)160,000 (D)240,000
A: Among A through D, the answer is | [
"(A)60,000",
"(B)90,000",
"(C)160,000",
"(D)240,000"
] | [
2
] |
Q: 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? Answer Choices: (A)$\frac{4 \pi}{3 V}$ (B)$\frac{3 V}{4 \pi}$ (C)$\sqrt[3]{\frac{4 \pi}{3 V}}$ (D)$\sqrt[3]{\frac{3 V}{4 \pi}}$
A: Among A through D, the answer is | [
"(A)$\\frac{4 \\pi}{3 V}$",
"(B)$\\frac{3 V}{4 \\pi}$",
"(C)$\\sqrt[3]{\\frac{4 \\pi}{3 V}}$",
"(D)$\\sqrt[3]{\\frac{3 V}{4 \\pi}}$"
] | [
3
] |
Q: 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"? Answer Choices: (A)0.31 (B)0.38 (C)0.45 (D)0.69
A: Among A through D, the answer is | [
"(A)0.31",
"(B)0.38",
"(C)0.45",
"(D)0.69"
] | [
2
] |
Q: $$y=-(x-3)^{2}+a$$In the equation above, $a$ is a constant. The graph of the equation in the $x y$-plane is a parabola. Which of the following is true about the parabola? Answer Choices: (A)Its minimum occurs at $(-3, a)$. (B)Its minimum occurs at $(3, a)$. (C)Its maximum occurs at $(-3, a)$. (D)Its maximum occurs at $(3, a)$.
A: Among A through D, the answer is | [
"(A)Its minimum occurs at $(-3, a)$.",
"(B)Its minimum occurs at $(3, a)$.",
"(C)Its maximum occurs at $(-3, a)$.",
"(D)Its maximum occurs at $(3, a)$."
] | [
3
] |
Q: The maximum value of a data set consisting of 25 positive integers is 84 . A new data set consisting of 26 positive integers is created by including 96 in the original data set. Which of the following measures must be 12 greater for the new data set than for the original data set? Answer Choices: (A)The mean (B)The median (C)The range (D)The standard deviation
A: Among A through D, the answer is | [
"(A)The mean",
"(B)The median",
"(C)The range",
"(D)The standard deviation"
] | [
2
] |
Q: $$0.10 x+0.20 y=0.18(x+y)$$Clayton will mix $x$ milliliters of a $10 \%$ by mass saline solution with $y$ milliliters of a $20 \%$ by mass saline solution in order to create an $18 \%$ by mass saline solution. The equation above represents this situation. If Clayton uses 100 milliliters of the $20 \%$ by mass saline solution, how many milliliters of the $10 \%$ by mass saline solution must he use? Answer Choices: (A)5 (B)25 (C)50 (D)100
A: Among A through D, the answer is | [
"(A)5",
"(B)25",
"(C)50",
"(D)100"
] | [
1
] |
Q: 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 $f$ ? Answer Choices: (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.
A: Among A through D, the answer is | [
"(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."
] | [
3
] |
Q: \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? Answer Choices: (A)$x+2 y=a$ (B)$x+2 y=5 a$ (C)$2 x-y=-5 a$ (D)$2 x-y=7 a$
A: Among A through D, the answer is | [
"(A)$x+2 y=a$",
"(B)$x+2 y=5 a$",
"(C)$2 x-y=-5 a$",
"(D)$2 x-y=7 a$"
] | [
0
] |
Q: $$\begin{aligned}& 2.4 x-1.5 y=0.3 \\& 1.6 x+0.5 y=-1.3\end{aligned}$$The system of equations above is graphed in the $x y$-plane. What is the $x$-coordinate of the intersection point $(x, y)$ of the system? Answer Choices: (A)-0.5 (B)-0.25 (C)0.8 (D)1.75
A: Among A through D, the answer is | [
"(A)-0.5",
"(B)-0.25",
"(C)0.8",
"(D)1.75"
] | [
0
] |
Q: Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees' pollen grains per square centimeter that were deposited each year within layers of a lake's sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a $1 \%$ annual increase in the number of grains per square centimeter thereafter. Which of the following functions models $P(t)$, the number of pollen grains per square centimeter $t$ years after the first year the grains were deposited? Answer Choices: (A)$P(t)=310^{t}$ (B)$P(t)=310^{1.01 t}$ (C)$P(t)=310(0.99)^{t}$ (D)$P(t)=310(1.01)^{t}$
A: Among A through D, the answer is | [
"(A)$P(t)=310^{t}$",
"(B)$P(t)=310^{1.01 t}$",
"(C)$P(t)=310(0.99)^{t}$",
"(D)$P(t)=310(1.01)^{t}$"
] | [
3
] |
Q: $$\frac{2}{3}(9 x-6)-4=9 x-6$$Based on the equation above, what is the value of $3 x-2$ ? Answer Choices: (A)-4 (B)$-\frac{4}{5}$ (C)$-\frac{2}{3}$ (D)4
A: Among A through D, the answer is | [
"(A)-4",
"(B)$-\\frac{4}{5}$",
"(C)$-\\frac{2}{3}$",
"(D)4"
] | [
0
] |
Q: $$H=1.88 L+32.01$$The formula above can be used to approximate the height $H$, in inches, of an adult male based on the length $L$, in inches, of his femur. What is the meaning of 1.88 in this context? Answer Choices: (A)The approximate femur length, in inches, for a man with a height of 32.01 inches (B)The approximate increase in a man's femur length, in inches, for each increase of 32.01 inches in his height (C)The approximate increase in a man's femur length, in inches, for each one-inch increase in his height (D)The approximate increase in a man's height, in inches, for each one-inch increase in his femur length
A: Among A through D, the answer is | [
"(A)The approximate femur length, in inches, for a man with a height of 32.01 inches",
"(B)The approximate increase in a man's femur length, in inches, for each increase of 32.01 inches in his height",
"(C)The approximate increase in a man's femur length, in inches, for each one-inch increase in his height",
"(D)The approximate increase in a man's height, in inches, for each one-inch increase in his femur length"
] | [
3
] |
Q: A painter will paint $n$ walls with the same size and shape in a building using a specific brand of paint. The painter's fee can be calculated by the expression $n K \ell h$, where $n$ is the number of walls, $K$ is a constant with units of dollars per square foot, $\ell$ is the length of each wall in feet, and $h$ is the height of each wall in feet. If the customer asks the painter to use a more expensive brand of paint, which of the factors in the expression would change? Answer Choices: (A)$h$ (B)$\ell$ (C)$K$ (D)$n$
A: Among A through D, the answer is | [
"(A)$h$",
"(B)$\\ell$",
"(C)$K$",
"(D)$n$"
] | [
2
] |
Q: If $3 r=18$, what is the value of $6 r+3$ ? Answer Choices: (A)6 (B)27 (C)36 (D)39
A: Among A through D, the answer is | [
"(A)6",
"(B)27",
"(C)36",
"(D)39"
] | [
3
] |
Q: Which of the following is equal to $a^{\frac{2}{3}}$, for all values of $a$ ? Answer Choices: (A)$\sqrt{a^{\frac{1}{3}}}$ (B)$\sqrt{a^{3}}$ (C)$\sqrt[3]{a^{\frac{1}{2}}}$ (D)$\sqrt[3]{a^{2}}$
A: Among A through D, the answer is | [
"(A)$\\sqrt{a^{\\frac{1}{3}}}$",
"(B)$\\sqrt{a^{3}}$",
"(C)$\\sqrt[3]{a^{\\frac{1}{2}}}$",
"(D)$\\sqrt[3]{a^{2}}$"
] | [
3
] |
Q: The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900. If 30 states joined the United States between 1776 and 1849 and $x$ states joined between 1850 and 1900 , which of the following equations is true? Answer Choices: (A)$30 x=2$ (B)$2 x=30$ (C)$\frac{x}{2}=30$ (D)$x+30=2$
A: Among A through D, the answer is | [
"(A)$30 x=2$",
"(B)$2 x=30$",
"(C)$\\frac{x}{2}=30$",
"(D)$x+30=2$"
] | [
1
] |
Q: If $\frac{5}{x}=\frac{15}{x+20}$, what is the value of $\frac{x}{5} ?$ Answer Choices: (A)10 (B)5 (C)2 (D)$\frac{1}{2}$
A: Among A through D, the answer is | [
"(A)10",
"(B)5",
"(C)2",
"(D)$\\frac{1}{2}$"
] | [
2
] |
Q: $$\begin{aligned}& 2 x-3 y=-14 \\& 3 x-2 y=-6\end{aligned}$$If $(x, y)$ is a solution to the system of equations above, what is the value of $x-y$ ? Answer Choices: (A)-20 (B)$\quad-8$ (C)-4 (D)8
A: Among A through D, the answer is | [
"(A)-20",
"(B)$\\quad-8$",
"(C)-4",
"(D)8"
] | [
2
] |
Q: \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 $f(x)$ ? Answer Choices: (A)$x-2$ (B)$x-3$ (C)$x-4$ (D)$x-5$
A: Among A through D, the answer is | [
"(A)$x-2$",
"(B)$x-3$",
"(C)$x-4$",
"(D)$x-5$"
] | [
2
] |
Q: 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 $d$ ? Answer Choices: (A)$\frac{d-4}{c}$ (B)$\frac{c-4}{d}$ (C)$\frac{4-d}{c}$ (D)$\frac{4-c}{d}$
A: Among A through D, the answer is | [
"(A)$\\frac{d-4}{c}$",
"(B)$\\frac{c-4}{d}$",
"(C)$\\frac{4-d}{c}$",
"(D)$\\frac{4-c}{d}$"
] | [
0
] |
Q: $$\begin{aligned}& k x-3 y=4 \\& 4 x-5 y=7\end{aligned}$$In the system of equations above, $k$ is a constant and $x$ and $y$ are variables. For what value of $k$ will the system of equations have no solution? Answer Choices: (A)$\frac{12}{5}$ (B)$\frac{16}{7}$ (C)$-\frac{16}{7}$ (D)$-\frac{12}{5}$
A: Among A through D, the answer is | [
"(A)$\\frac{12}{5}$",
"(B)$\\frac{16}{7}$",
"(C)$-\\frac{16}{7}$",
"(D)$-\\frac{12}{5}$"
] | [
0
] |
Q: In the $x y$-plane, the parabola with equation $y=(x-11)^{2}$ intersects the line with equation $y=25$ at two points, $A$ and $B$. What is the length of $\overline{A B}$ ? Answer Choices: (A)10 (B)12 (C)14 (D)16
A: Among A through D, the answer is | [
"(A)10",
"(B)12",
"(C)14",
"(D)16"
] | [
0
] |
Q: $$y=a(x-2)(x+4)$$In the quadratic equation above, $a$ is a nonzero constant. The graph of the equation in the $x y$-plane is a parabola with vertex $(c, d)$. Which of the following is equal to $d$ ? Answer Choices: (A)$-9 a$ (B)$-8 a$ (C)$-5 a$ (D)$-2 a$
A: Among A through D, the answer is | [
"(A)$-9 a$",
"(B)$-8 a$",
"(C)$-5 a$",
"(D)$-2 a$"
] | [
0
] |
Q: 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 $a$ ? Answer Choices: (A)-16 (B)-3 (C)3 (D)16
A: Among A through D, the answer is | [
"(A)-16",
"(B)-3",
"(C)3",
"(D)16"
] | [
1
] |
Q: What are the solutions to $3 x^{2}+12 x+6=0 ?$ Answer Choices: (A)$x=-2 \pm \sqrt{2}$ (B)$x=-2 \pm \frac{\sqrt{30}}{3}$ (C)$x=-6 \pm \sqrt{2}$ (D)$x=-6 \pm 6 \sqrt{2}$
A: Among A through D, the answer is | [
"(A)$x=-2 \\pm \\sqrt{2}$",
"(B)$x=-2 \\pm \\frac{\\sqrt{30}}{3}$",
"(C)$x=-6 \\pm \\sqrt{2}$",
"(D)$x=-6 \\pm 6 \\sqrt{2}$"
] | [
0
] |
Q: $$C=\frac{5}{9}(F-32)$$The equation above shows how a temperature $F$, measured in degrees Fahrenheit, relates to a temperature $C$, measured in degrees Celsius. Based on the equation, which of the following must be true?I. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of $\frac{5}{9}$ degree Celsius.II. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.III. A temperature increase of $\frac{5}{9}$ degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. Answer Choices: (A)I only (B)II only (C)III only (D)I and II only
A: Among A through D, the answer is | [
"(A)I only",
"(B)II only",
"(C)III only",
"(D)I and II only"
] | [
3
] |
Q: \begin{center}\begin{tabular}{|l||c|c||c|}\cline { 2 - 4 }\multicolumn{1}{c||}{} & \multicolumn{2}{c||}{Age} & \multirow{2}{c|}{Total} \\\hlineGender & Under 40 & 40 or older \\\hline\hlineMale & 12 & 2 & 14 \\\hlineFemale & 8 & 3 & 11 \\\hline\hlineTotal & 20 & 5 & 25 \\\hline\end{tabular}\end{center}The table above shows the distribution of age and gender for 25 people who entered a contest. If the contest winner will be selected at random, what is the probability that the winner will be either a female under age 40 or a male age 40 or older? Answer Choices: (A)$\frac{4}{25}$ (B)$\frac{10}{25}$ (C)$\frac{11}{25}$ (D)$\frac{16}{25}$
A: Among A through D, the answer is | [
"(A)$\\frac{4}{25}$",
"(B)$\\frac{10}{25}$",
"(C)$\\frac{11}{25}$",
"(D)$\\frac{16}{25}$"
] | [
1
] |
Q: \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 $f$ ? Answer Choices: (A)$f(n)=n-3$ (B)$f(n)=2 n-4$ (C)$f(n)=3 n-5$ (D)$f(n)=4 n-6$
A: Among A through D, the answer is | [
"(A)$f(n)=n-3$",
"(B)$f(n)=2 n-4$",
"(C)$f(n)=3 n-5$",
"(D)$f(n)=4 n-6$"
] | [
2
] |
Q: At Lincoln High School, approximately 7 percent of enrolled juniors and 5 percent of enrolled seniors were inducted into the National Honor Society last year. If there were 562 juniors and 602 seniors enrolled at Lincoln High School last year, which of the following is closest to the total number of juniors and seniors at Lincoln High School last year who were inducted into the National Honor Society? Answer Choices: (A)140 (B)69 (C)39 (D)30
A: Among A through D, the answer is | [
"(A)140",
"(B)69",
"(C)39",
"(D)30"
] | [
1
] |
Q: $$\begin{aligned}& 3 x^{2}-5 x+2 \\& 5 x^{2}-2 x-6\end{aligned}$$Which of the following is the sum of the two polynomials shown above? Answer Choices: (A)$8 x^{2}-7 x-4$ (B)$8 x^{2}+7 x-4$ (C)$8 x^{4}-7 x^{2}-4$ (D)$8 x^{4}+7 x^{2}-4$
A: Among A through D, the answer is | [
"(A)$8 x^{2}-7 x-4$",
"(B)$8 x^{2}+7 x-4$",
"(C)$8 x^{4}-7 x^{2}-4$",
"(D)$8 x^{4}+7 x^{2}-4$"
] | [
0
] |
Q: If $\frac{3}{5} w=\frac{4}{3}$, what is the value of $w ?$ Answer Choices: (A)$\frac{9}{20}$ (B)$\frac{4}{5}$ (C)$\frac{5}{4}$ (D)$\frac{20}{9}$
A: Among A through D, the answer is | [
"(A)$\\frac{9}{20}$",
"(B)$\\frac{4}{5}$",
"(C)$\\frac{5}{4}$",
"(D)$\\frac{20}{9}$"
] | [
3
] |
Q: The average number of students per classroom at Central High School from 2000 to 2010 can be modeled by the equation $y=0.56 x+27.2$, where $x$ represents the number of years since 2000 , and $y$ represents the average number of students per classroom. Which of the following best describes the meaning of the number 0.56 in the equation? Answer Choices: (A)The total number of students at the school in 2000 (B)The average number of students per classroom in 2000 (C)The estimated increase in the average number of students per classroom each year (D)The estimated difference between the average number of students per classroom in 2010 and in 2000
A: Among A through D, the answer is | [
"(A)The total number of students at the school in 2000",
"(B)The average number of students per classroom in 2000",
"(C)The estimated increase in the average number of students per classroom each year",
"(D)The estimated difference between the average number of students per classroom in 2010 and in 2000"
] | [
2
] |
Q: 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? Answer Choices: (A)150 meters (B)450 meters (C)700 meters (D)1,400 meters
A: Among A through D, the answer is | [
"(A)150 meters",
"(B)450 meters",
"(C)700 meters",
"(D)1,400 meters"
] | [
1
] |
\begin{center}.\begin{tabular}{|l|c|}.\hline.\multicolumn{1}{|c|}{Planet} & Acceleration due to gravity $\left(\frac{\mathrm{m}}{\mathrm{sec}^{2}}\right)$ \\.\hline\hline.Mercury & 3.6 \\.\hline.Venus & 8.9 \\.\hline.Earth & 9.8 \\.\hline.Mars & 3.8 \\.\hline.Jupiter & 26.0 \\.\hline.Saturn & 11.1 \\.\hline.Uranus & 10.7 \\.\hline.Neptune & 14.1 \\.\hline.\end{tabular}.\end{center}.The chart above shows approximations of the acceleration due to gravity in meters per.second squared $\left(\frac{\mathrm{m}}{\sec ^{2}}\right)$ for the eight planets in our solar system. The weight of an object on a given planet can be found by using the formula $W=m g$, where $W$ is the weight of the object measured in newtons, $m$ is the mass of the object measured in kilograms, and $g$ is the acceleration due to gravity on the planet measured in $\frac{m}{\sec ^{2}}$Q: What is the weight, in newtons, of an object on Mercury with a mass of 90 kilograms? Answer Choices: (A)25 (B)86 (C)101 (D)324
A: Among A through D, the answer is | [
"(A)25",
"(B)86",
"(C)101",
"(D)324"
] | [
3
] |
\begin{center}.\begin{tabular}{|l|c|}.\hline.\multicolumn{1}{|c|}{Planet} & Acceleration due to gravity $\left(\frac{\mathrm{m}}{\mathrm{sec}^{2}}\right)$ \\.\hline\hline.Mercury & 3.6 \\.\hline.Venus & 8.9 \\.\hline.Earth & 9.8 \\.\hline.Mars & 3.8 \\.\hline.Jupiter & 26.0 \\.\hline.Saturn & 11.1 \\.\hline.Uranus & 10.7 \\.\hline.Neptune & 14.1 \\.\hline.\end{tabular}.\end{center}.The chart above shows approximations of the acceleration due to gravity in meters per.second squared $\left(\frac{\mathrm{m}}{\sec ^{2}}\right)$ for the eight planets in our solar system. The weight of an object on a given planet can be found by using the formula $W=m g$, where $W$ is the weight of the object measured in newtons, $m$ is the mass of the object measured in kilograms, and $g$ is the acceleration due to gravity on the planet measured in $\frac{m}{\sec ^{2}}$Q: An object on Earth has a weight of 150 newtons. On which planet would the same object have an approximate weight of 170 newtons? Answer Choices: (A)Venus (B)Saturn (C)Uranus (D)Neptune
A: Among A through D, the answer is | [
"(A)Venus",
"(B)Saturn",
"(C)Uranus",
"(D)Neptune"
] | [
1
] |
Q: $$h=-16 t^{2}+v t+k$$The equation above gives the height $h$, in feet, of a ball $t$ seconds after it is thrown straight up with an initial speed of $v$ feet per second from a height of $k$ feet. Which of the following gives $v$ in terms of $h, t$, and $k$ ? Answer Choices: (A)$v=h+k-16 t$ (B)$v=\frac{h-k+16}{t}$ (C)$v=\frac{h+k}{t}-16 t$ (D)$v=\frac{h-k}{t}+16 t$
A: Among A through D, the answer is | [
"(A)$v=h+k-16 t$",
"(B)$v=\\frac{h-k+16}{t}$",
"(C)$v=\\frac{h+k}{t}-16 t$",
"(D)$v=\\frac{h-k}{t}+16 t$"
] | [
3
] |
Q: 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? Answer Choices: (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.
A: Among A through D, the answer is | [
"(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."
] | [
0
] |
$$.\begin{aligned}.& S(P)=\frac{1}{2} P+40 \\.& D(P)=220-P.\end{aligned}.$$.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.Q: How will the quantity of the product supplied to the market change if the price of the product is increased by $\$ 10$ ? Answer Choices: (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.
A: Among A through D, the answer is | [
"(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."
] | [
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.Q: At what price will the quantity of the product supplied to the market equal the quantity of the product demanded by the market? Answer Choices: (A)$\$ 90$ (B)$\$ 120$ (C)$\$ 133$ (D)$\$ 155$
A: Among A through D, the answer is | [
"(A)$\\$ 90$",
"(B)$\\$ 120$",
"(C)$\\$ 133$",
"(D)$\\$ 155$"
] | [
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.Q: Graphene, which is used in the manufacture of integrated circuits, is so thin that a sheet weighing one ounce can cover up to 7 football fields. If a football field has an area of approximately $1 \frac{1}{3}$ acres, about how many acres could 48 ounces of graphene cover? Answer Choices: (A)250 (B)350 (C)450 (D)1,350
A: Among A through D, the answer is | [
"(A)250",
"(B)350",
"(C)450",
"(D)1,350"
] | [
2
] |
Q: Of the following four types of savings account plans, which option would yield exponential growth of the money in the account? Answer Choices: (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.
A: Among A through D, the answer is | [
"(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."
] | [
2
] |
Q: The sum of three numbers is 855 . One of the numbers, $x$, is $50 \%$ more than the sum of the other two numbers. What is the value of $x$ ? Answer Choices: (A)570 (B)513 (C)214 (D)155
A: Among A through D, the answer is | [
"(A)570",
"(B)513",
"(C)214",
"(D)155"
] | [
1
] |
Q: 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? Answer Choices: (A)16 (B)21 (C)23 (D)26
A: Among A through D, the answer is | [
"(A)16",
"(B)21",
"(C)23",
"(D)26"
] | [
3
] |
Q: 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 $k$ ? Answer Choices: (A)0 (B)4 (C)8 (D)16
A: Among A through D, the answer is | [
"(A)0",
"(B)4",
"(C)8",
"(D)16"
] | [
2
] |
Q: 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 $p$ ? Answer Choices: (A)12 (B)15 (C)20 (D)22
A: Among A through D, the answer is | [
"(A)12",
"(B)15",
"(C)20",
"(D)22"
] | [
2
] |
Q: 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? Answer Choices: (A)$50,000(0.1)^{20 t}$ (B)$50,000(0.1)^{\frac{t}{20}}$ (C)$50,000(0.9)^{20 t}$ (D)$50,000(0.9)^{\frac{t}{20}}$
A: Among A through D, the answer is | [
"(A)$50,000(0.1)^{20 t}$",
"(B)$50,000(0.1)^{\\frac{t}{20}}$",
"(C)$50,000(0.9)^{20 t}$",
"(D)$50,000(0.9)^{\\frac{t}{20}}$"
] | [
3
] |
Q: \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.) Answer Choices: (A)0.410 (B)0.357 (C)0.333 (D)0.250
A: Among A through D, the answer is | [
"(A)0.410",
"(B)0.357",
"(C)0.333",
"(D)0.250"
] | [
0
] |
Q: $$\begin{aligned}& 3 x+b=5 x-7 \\& 3 y+c=5 y-7\end{aligned}$$In the equations above, $b$ and $c$ are constants.If $b$ is $c$ minus $\frac{1}{2}$, which of the following is true? Answer Choices: (A)$x$ is $y$ minus $\frac{1}{4}$. (B)$x$ is $y$ minus $\frac{1}{2}$. (C)$x$ is $y$ minus 1 . (D)$x$ is $y$ plus $\frac{1}{2}$.
A: Among A through D, the answer is | [
"(A)$x$ is $y$ minus $\\frac{1}{4}$.",
"(B)$x$ is $y$ minus $\\frac{1}{2}$.",
"(C)$x$ is $y$ minus 1 .",
"(D)$x$ is $y$ plus $\\frac{1}{2}$."
] | [
0
] |
End of preview. Expand
in Dataset Viewer.
Dataset Card for "agieval-sat-math"
Dataset taken from https://github.com/microsoft/AGIEval and processed as in that repo, following dmayhem93/agieval-* datasets on the HF hub.
This dataset contains the contents of the SAT-Math subtask of AGIEval, as accessed in https://github.com/ruixiangcui/AGIEval/commit/5c77d073fda993f1652eaae3cf5d04cc5fd21d40 .
Citation:
@misc{zhong2023agieval,
title={AGIEval: A Human-Centric Benchmark for Evaluating Foundation Models},
author={Wanjun Zhong and Ruixiang Cui and Yiduo Guo and Yaobo Liang and Shuai Lu and Yanlin Wang and Amin Saied and Weizhu Chen and Nan Duan},
year={2023},
eprint={2304.06364},
archivePrefix={arXiv},
primaryClass={cs.CL}
}
Please make sure to cite all the individual datasets in your paper when you use them. We provide the relevant citation information below:
@inproceedings{ling-etal-2017-program,
title = "Program Induction by Rationale Generation: Learning to Solve and Explain Algebraic Word Problems",
author = "Ling, Wang and
Yogatama, Dani and
Dyer, Chris and
Blunsom, Phil",
booktitle = "Proceedings of the 55th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)",
month = jul,
year = "2017",
address = "Vancouver, Canada",
publisher = "Association for Computational Linguistics",
url = "https://aclanthology.org/P17-1015",
doi = "10.18653/v1/P17-1015",
pages = "158--167",
abstract = "Solving algebraic word problems requires executing a series of arithmetic operations{---}a program{---}to obtain a final answer. However, since programs can be arbitrarily complicated, inducing them directly from question-answer pairs is a formidable challenge. To make this task more feasible, we solve these problems by generating answer rationales, sequences of natural language and human-readable mathematical expressions that derive the final answer through a series of small steps. Although rationales do not explicitly specify programs, they provide a scaffolding for their structure via intermediate milestones. To evaluate our approach, we have created a new 100,000-sample dataset of questions, answers and rationales. Experimental results show that indirect supervision of program learning via answer rationales is a promising strategy for inducing arithmetic programs.",
}
@inproceedings{hendrycksmath2021,
title={Measuring Mathematical Problem Solving With the MATH Dataset},
author={Dan Hendrycks and Collin Burns and Saurav Kadavath and Akul Arora and Steven Basart and Eric Tang and Dawn Song and Jacob Steinhardt},
journal={NeurIPS},
year={2021}
}
@inproceedings{Liu2020LogiQAAC,
title={LogiQA: A Challenge Dataset for Machine Reading Comprehension with Logical Reasoning},
author={Jian Liu and Leyang Cui and Hanmeng Liu and Dandan Huang and Yile Wang and Yue Zhang},
booktitle={International Joint Conference on Artificial Intelligence},
year={2020}
}
@inproceedings{zhong2019jec,
title={JEC-QA: A Legal-Domain Question Answering Dataset},
author={Zhong, Haoxi and Xiao, Chaojun and Tu, Cunchao and Zhang, Tianyang and Liu, Zhiyuan and Sun, Maosong},
booktitle={Proceedings of AAAI},
year={2020},
}
@article{Wang2021FromLT,
title={From LSAT: The Progress and Challenges of Complex Reasoning},
author={Siyuan Wang and Zhongkun Liu and Wanjun Zhong and Ming Zhou and Zhongyu Wei and Zhumin Chen and Nan Duan},
journal={IEEE/ACM Transactions on Audio, Speech, and Language Processing},
year={2021},
volume={30},
pages={2201-2216}
}
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