Free Online ACT Math Practice Test 3

1. One pound is equivalent to 16 ounces. If a book weighs 1.5 pounds, how many ounces, to the nearest tenth, does the book weigh?

A. 10.7
B. 17.5
C. 24.0
D. 61.5
E. 165.0

2. Which of the following expressions is equivalent to (3x + 4)(x - 5)?

F. 3x2 + 9x - 9
G. 3x2 + 9x + 20
H. 3x2 - 19x - 9
J. 3x2 - 11x - 20
K. 3x2 + 20x - 20

3. Let a function of 2 variables be defined by f (a, b) = ab - (a - b). What is the value of f (8,9)?

A. 89
B. 73
C. 71
D. 34
E. 0

4. What is 1/5 of 16% of $24,000?

F. $160
G. $768
H. $3,840
J. $4,032
K. $7,500

5. If 5x + 5 = 25 + 3x, then x = ?

A. 2.5
B. 10
C. 15
D. 20
E. 62.5

6. In parallelogram ABCD shown below, AB is 7 inches long. If the parallelogram's perimeter is 46 inches, how many inches long is AD?

F.
G. 16
H. 28
J. 39
K. 49

7. |14| × | - 2| = ?

A. -28
B. -16
C. -12
D. 16
E. 28

8. In the figure below, X and Y lie on the sides of ΔABC, and is parallel to . What is the measure of ∠C?

F. 120°
G. 90°
H. 80°
J. 60°
K. 40°

9. If x = -3 and y = 2, then x3y + xy3 = ?

A. 78
B. 30
C. -6
D. -30
E. -78

10. Two professors were hired to begin work at the same time. Professor A's contract called for a starting salary of $50,000 with an increase of $1,500 after each year of employment. Professor B's contract called for a starting salary of $42,000 with an increase of $2,800 after each year of employment. If y represents the number of full years of employment (that is, the number of yearly increases each professor has received), which of the following equations could be solved to determine the number of years until B's yearly salary equals A's yearly salary?

F. 50, 000 + 1, 500y = 42, 000 + 2, 800y
G. 50, 000 + 2, 800y = 42, 000 + 1, 500y
H. 1, 500y + 2, 800y = y
J. 1, 500y + 2, 800y = 42, 000
K. 1, 500y + 2, 800y = 50, 000

11. If W = XYZ, then which of the following is an expression for Z in terms of W, X, and Y?

A.
B.
C. WXY
D. W - XY
E. W + XY

12. Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?

F. 4 and 9
G. 5 and 10
H. 10 and 16
J. 14 and 20
K. 16 and 24

13. A rope 55 feet long is cut into two pieces. If one piece is 23 feet longer than the other, what is the length, in feet, of the shorter piece?

A. 2
B. 16
C. 23
D. 32
E. 51

14. If (x + r)2 = x2 + 22x + r2 for all real numbers x, then r = ?

F. 11
G. 22
H. 44
J. 88
K. 176

15. Jenny ran miles on Saturday and miles on Sunday. The total distance, in miles, Jenny ran during those 2 days is within which of the following ranges?

A. At least and less than
B. At least and less than
C. At least 6 and less than
D. At least and less than 6
E. At least and less than