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SAT Math Practice Test

SAT Practice Test

SAT

English

SAT Math Practice Test

Question 1

A company rents moving trucks. The cost, C, in dollars, to rent a truck for one day is given by the equation

, where $m$ is the number of miles driven. If a customer's total cost for a one-day rental was \$92.50, how many miles did the customer drive?

A. 50

B. 60

C. 70

D. 80

Question 2

A survey asked 200 high school students whether they preferred to study in the morning or in the evening and whether they preferred to study alone or in a group. The results are shown in the table. According to the table, what percentage of students who prefer to study in the evening also prefer to study in a group?

	Morning	Evening	Total
Alone	60	45	105
Group	35	60	95
Total	95	105	200

A. 22.5%

B. 42.9%

C. 57.1%

D. 63.2%

Question 3

, what is the value of

A. -30

B. 6

C. 24

D. 36

Question 4

In triangle ABC, the measure of angle B is 90 degrees. In triangle DEF, the measure of angle E is 90 degrees. If triangle ABC is similar to triangle DEF, and the length of AB is 6, BC is 8, and DE is 9, what is the length of EF?

A. 10

B. 12

C. 13.5

D. 15

Question 5

Given the system of equations below, what is the value of

A. 3

B. 5

C. 7

D. 9

Question 6

The function $f$ is defined by

. The graph of

in the xy-plane is a parabola. What are the coordinates of the vertex of the parabola?

A. (-3, -32)

B. (3, 4)

C. (6, -5)

D. (1, 0)

Question 7

A botanist is studying the growth of a bamboo plant. The equation

models the height

, in inches, of the plant after $w$ weeks. Which of the following is the best interpretation of the number 1.5 in the context of the model?

A. The initial height of the plant was 1.5 inches.

B. The plant's height increases by 1.5 inches each week.

C. The plant will reach a height of 1.5 inches after 12 weeks.

D. The plant grows to a final height of 1.5 inches.

Question 8

Two different school classes, Class A and Class B, took the same 50-point quiz. The mean score for Class A was 38, and the mean score for Class B was also 38. The standard deviation of the scores for Class A was 2.5, and the standard deviation of the scores for Class B was 5.

Which of the following statements must be true?

A. The median score for Class A is greater than the median score for Class B.

B. The scores in Class B are, on average, farther from the mean than the scores in Class A.

C. The highest score in Class B is greater than the highest score in Class A.

D. Every student in Class A scored higher than the lowest-scoring student in Class B.

Question 9

What is the sum of all solutions to the equation

A. -4

B. 4

C. 7

D. 10

Question 10

In the xy-plane, a circle has its center at (5, 3). The line with equation

is tangent to the circle. What is the circumference of the circle?

A. 4

B. 8

C. 16

D. 20

Question 11

In the system of linear equations below, $k$ is a constant. For what value of $k$ will the system have no solution?

A. -12/5

B. -5/3

C. 12/5

D. 7/4

Question 12

Which of the following is equivalent to the expression

Question 13

A company's goal is to have its monthly profit P be at least \

P = 25n - 45,000

n$ is the number of units sold. What is the minimum number of units the company must sell to meet its goal?

A. 1000

B. 1800

C. 2600

D. 3400

Question 14

A researcher collected data on the height, in inches, and weight, in pounds, of a group of 10 adults. A scatterplot of the data showed a positive linear association. A line of best fit was calculated as

, where $y$ is the predicted weight and $x$ is the height. What is the predicted weight of an adult who is 68 inches tall?

A. 172

B. 180

C. 186

D. 195

Question 15

The equation

, where $k$ is a constant, has exactly one real solution. What is a possible value of

A. 4

B. 8

C. 16

D. 32

Question 16

In a right triangle, one angle measures

such that

. What is the value of

A. 5/13

B. 8/13

C. 12/13

D. 13/12

Question 17

, which of the following could be a value of

A. -9

B. -3

C. 3

D. 9

Question 18

Given the system of equations below, what is the sum of the x-coordinates of the two solutions?

A. 3

B. 5

C. 6

D. 10

Question 19

The graph of a linear relationship passes through the points (2, 5) and (4, 11). What is the slope of the line?

A. 1/3

B. 2

C. 3

D. 6

Question 20

Let the function $f$ be defined as

and the function $g$ be defined as

. For which value of $x$ is

A. -4

B. -1

C. 4

D. 15

Question 21

A store sells two types of gift baskets: standard and deluxe. A standard basket contains 2 candles and 3 soaps. A deluxe basket contains 4 candles and 5 soaps. The store has a stock of 100 candles and 160 soaps. If the store creates $s$ standard baskets and $d$ deluxe baskets and uses all of its stock, which of the following systems of equations can be used to determine the number of standard and deluxe baskets?

A. 2s + 3d = 100 4s + 5d = 160

B. 5s + 9d = 260 s + d = 260

C. 2s + 4d = 100 3s + 5d = 160

D. s + d = 100 5s + 9d = 160

Question 22

The function

is graphed in the xy-plane. If

and

, what is the third x-intercept of the graph?

A. -3

B. -1

C. 1

D. 7