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SAT Math Practice Test

SAT Practice Test · English

SAT Math Practice Test

Question 1

A company rents a machine for a flat fee of

plus an additional

per hour. Which equation represents the total cost

, in dollars, for renting the machine for

hours?
A.

B.

C.

D.


Question 2

If

, what is the value of

?
A. 3
B. 15
C. -5
D. -1

Question 3

The population of a town was 12,000 in 2010. In 2020, the population was 15,000. What was the percent increase in the population of the town from 2010 to 2020?
A.

B.

C.

D.


Question 4

A circle in the

-plane has its center at

and a radius of 4. Which of the following is an equation of the circle?
A.

B.

C.

D.


Question 5

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

?


A. 6
B. 8
C. 7
D. 5

Question 6

The function

is defined by

. What are the solutions to

?
A.

and

B.

and

C.

and

D.

and


Question 7

In the equation

,

is a constant. For what value of

does the equation have no solution?
A. -3
B. 6
C. 9
D. 3

Question 8

A parabola has the equation

, where

is a constant. The vertex of the parabola is

. A second parabola has the equation

, where

is a constant. If the two parabolas have the same vertex, what is the value of

?
A. 9
B. 27
C. 18
D. -9

Question 9

In triangle

, point

is on side

and point

is on side

. Line segment

is parallel to line segment

. If the area of triangle

is 12 and the area of trapezoid

is 36, what is the ratio of the length of

to the length of

?
A.

B. 2
C.

D. 1

Question 10

A survey asked 200 students to choose their preferred type of movie from four genres. The results are shown in the table below.
Genre
Number of Students
Action
60
Comedy
75
Drama
40
Sci-Fi
25
What fraction of the students chose either Comedy or Sci-Fi?
A.

B.

C.

D.


Question 11

What value of

is the solution to the equation

?
A. 6
B. 4
C. 13
D. 17

Question 12

Which of the following expressions is equivalent to

for all positive values of

and

?
A.

B.

C.

D.


Question 13

In a right triangle, one angle measures

, where

. What is the value of

?
A.

B.

C.

D.


Question 14

Set A is

. Set B is created by adding 5 to each element in Set A. Set C is created by multiplying each element in Set A by 2. Let

be the standard deviations of Set A, Set B, and Set C, respectively. Which statement correctly compares the standard deviations?
A.

B.

C.

D.


Question 15

The value

, in dollars, of a piece of equipment after

years is given by the function

. What is the best interpretation of the number -250 in this context?
A. The value of the equipment decreases by

each year.
B. The equipment will have no value after 250 years.
C. The initial value of the equipment is

.
D. The value of the equipment increases by

each year.

Question 16

If the polynomial

is divided by

, the remainder is 9. What is the value of

?
A. 3
B. -1
C. -4
D. 7

Question 17

What is the sum of the solutions to the equation

?
A. 7
B. 5
C. 3
D. -3

Question 18

In the system of equations below,

is a constant. The system has exactly one real solution

. What is the value of

?


A. 7
B. 8
C. 1
D. -2

Question 19

Which of the following is equivalent to

?
A.

B.

C.

D.


Question 20

A right circular cylinder has a height of 10 centimeters and a radius of 5 centimeters. What is the volume of the cylinder in cubic centimeters?
A.

B.

C.

D.


Question 21

The number of bacteria in a colony is modeled by the function

, where

is the time in hours since the colony was first observed. Which of the following best describes the behavior of the bacteria colony?
A. The colony starts with 50 bacteria and triples every 2 hours.
B. The colony starts with 50 bacteria and is multiplied by

every hour.
C. The colony starts with 100 bacteria and doubles every 3 hours.
D. The colony starts with 50 bacteria and doubles every 3 hours.

Question 22

The line with equation

passes through the points

and

. If

and

are positive integers with no common factor greater than 1, what is the value of

?
A. 21
B. 15
C. 14
D. 30