ACT Math Practice Questions: Part B

1. What is the value of the expression 2x3 - x2 + 3x + 5 for x = -2?

F. -21
G. -13
H. 8
J. 11
K. 21

2. What is the next term after in the geometric sequence

A.
B. 0
C.
D.
E.

3. On the blueprint for Roger's house, inch represents an actual length of 1 foot. What is the area, in square feet, of Roger's rectangular living room, which is 3 inches by inches on the blueprint?

F. 51
G. 104
H. 144
J. 204
K. 244

4. If m > 0 and n < 0, then m - n:

A. is always positive.
B. is always negative.
C. is always zero.
D. cannot be zero, but can be any real number other than zero.
E. can be any real number.

5. If , then x = ?

F.
G.
H.
J.
K.

6. What is the slope of the line given by the equation 3x + 4y = -12 ?

A. -3
B.
C.
D.
E. 4

7. The length of a side of a square is represented as (3x - 2) inches. Which of the following general expressions represents the area of the square, in square inches?

F. 12x - 8
G. 9x2 - 4
H. 9x2 - 6x + 4
J. 9x2 - 12x - 4
K. 9x2 - 12x + 4

8. Which of the following is a polynomial factor of x2 - 2x - 24?

A. x - 4
B. x + 4
C. x + 6
D. 6 - x
E. x

9. In the equation , k represents a positive integer. As k gets larger without bound, the value of r:

F. gets closer and closer to 4.
G. gets closer and closer to 2.
H. gets closer and closer to 0.
J. remains constant.
K. gets larger and larger.

10. While doing research on the climates of South American countries, Andrea notices that all of the temperatures are given in degrees Celsius. Because she is not as familiar with the Celsius temperature scale, it is difficult for her to know whether a location with an average temperature of 25°C has a warm climate. Fahrenheit, F, and Celsius, C, are related by the formula . What is the temperature in degrees Fahrenheit of the location with an average temperature of 25°C?

A. 103
B. 88
C. 83
D. 77
E. 69

11. The length of a rectangle is 5 inches longer than its width. If the perimeter of the rectangle is 38 inches, what is the width, in inches?

F. 5
G. 7
H. 12
J. 17
K. 28

12. What are all the solutions for x if 3x2 - 2x - 21 = 0?

A. x = -21 only
B. x = -7 or x = 3
C. x = -3 or
D. or x = 3
E. x = -3 or x = 7

13. In Sulema's geography class, all tests count equally. So far, Sulema has taken 2 of the 3 tests in geography this marking period and earned scores of 88% and 79%, respectively. What is the minimum score Sulema needs on the third test to have a test average of 87%?

F. 99%
G. 94%
H. 91%
J. 87%
K. 84%

14. If a, b, and c are positive integers such that ab = m and c2b = n, then mn = ?

A. (ac2)b
B. (ac)3b
C. 2(ac)b
D. ac2b
E. abc

15. What is the area, in square inches, of a circle with a diameter equal to 12 inches?

F. 144
G. 36
H. 12π
J. 36π
K. 144π