ACT American College Testing: Math Section - ACT-Math Exam Practice Test

Question 1

If

anda and c are doubled, what happens to the value of d ?

A. The value of d is four times greater.

B. The value of d is four times smaller.

C. The value of d remains the same.

D. The value of d is doubled.

E. The value of d is halved.

Correct Answer: C

Question 2

The fluctuation of water depth at a pier is shown in the figure below.

One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?

A. 9

B. 12

C. 19

D. 3

E. 6

Correct Answer: E

Question 3

The population ( x ) of town ( y ) since 2000 can be estimated by the equation x = 1.0635 z + 3,250, where z is the number of years since 2000 and 0 ≤ z ≤ 20.
In the context of this equation, what does the number 1.0635 most likely represent?

A. The estimated population of town (y) in 2000.

B. The factor by which the population of town (y) has grown annually.

C. The factor by which the population of town (y) has decreased annually.

D. The estimated population of town (y) in 2017.

Correct Answer: B

Question 4

What is the tenth term of the sequence: 5, 15, 45, 135, ... ?

A.

B. 5 10

C. 5 × 3 10

D. (5 × 3) 9

E. 5 × 3 9

Correct Answer: E

Question 5

What is the equation of the line that passes through the points (2, 3) and (-2, 5)?

A.

B. y = x + 1

C.

D.

E.

Correct Answer: E

Question 6

The line y = -2x + 8 is:

A. parallel to the line 1/2y = -x + 3.

B. perpendicular to the line y = 2x - 8.

C. perpendicular to the line 1/2y = -2x - 8.

D. perpendicular to the line 2y = -1/2x + 8.

E. parallel to the line y = 1/2x + 8.

Correct Answer: A

Question 7

If the surface area of a cube is 384 cm2, what is the volume of the cube?

A. 4096 cm3

B. 51 2 cm3

C. 64 cm3

D. 115 2 cm3

E. 256 cm3

Correct Answer: B

Question 8

The expression

is equivalent to:

A. -5 / (2x - 7)

B. 5/7

C. (x + 5) / (x + 7)

D. (2x - 15) / (4x - 21)

E. x + 5

Correct Answer: C

Question 9

In the diagram above, line AB is parallel to line CD,

measures 140º and

measures 55º.

What is the measure of

?

A. 95º

B. 55º

C. 85º

D. 40º

E. 135º

Correct Answer: C

Question 10

John took out a cash advance of x dollars from a financing company. The company deducts a fee of 1/4 of the original advanced amount along with a transfer fee of $25.
Which of the following represents the final advanced amount that John receives after all applied fees in dollars?

A. 3/4x - 25

B. 3/4 × (x - 25)

C. 1/4x - 25

D. 1/4 × (x - 25)

Correct Answer: A

ACT American College Testing: Math Section - ACT-Math Exam Practice Test

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