ACT math practice test 48

1. Three different lines in the same plane can intersect at how many points?

F. 1
G. 1 or 2
H. 1 or 3
J. 1, 2, or 3
K. 0, 1, 2, or 3

2. If -1 < a < 0, -3 < b < -4, and c = a - b, then which of the following statements is true?

A. c < a
B. c < b
C. c < a + b
D. c < 0
E. c > 0

3. What is the slope between the points (-2, 5) and (0, 8)?

F. image
G. image
H. image
J. image
K. image

4. Rosemary and Caroline are baking cupcakes for a party. They are working from a recipe that will make 32 cupcakes. The recipe requires 2image cups of sugar to make 1 full batch. If they need to make 250 cupcakes for the party, which of the following amounts is the LEAST amount of sugar they need to make all 250 cupcakes?

A. 5 cups
B. 10 cups
C. 15 cups
D. 20 cups
E. 25 cups

5. For the following triangle, what is the value of sin (c)?

image

F. image
G. image
H. image
J. image
K. image

6. If image then x = ?

A. -21
B. -4
C. 4
D. 7
E. 21

7. In the figure below, m ∠WYZ = 28° and image bisects ∠ZYX. Which of the following is the measure of ∠XYM?

image

F. 76°
G. 78°
H. 84°
J. 90°
K. 152°

8. In the figure below, image is a diameter of the circle and m ∠BAC = 35°. Find the measure of arc image.

image

A. 35°
B. 60°
C. 70°
D. 90°
E. 110°

9. Which of the following is the greatest common factor of 36m4n3p5 and 24m2n?

F. 6m2n
G. 6m4n3p5
H. 12m2n
J. 12m2np5
K. 72m2n

10. Dave drove 144 miles to see his favorite band in concert. The drive to the concert took exactly 3 hours. On the drive home, Dave drove 10 miles per hour faster than he drove to the concert. Approximately how long did the return trip take?

A. 2.2 hours
B. 2.5 hours
C. 2.7 hours
D. 2.9 hours
E. 3 hours

11. What value of x will satisfy the following matrix equation?

image

F. -7.5
G. -3.5
H. 1
J. 6.5
K. 13

12. Paxton leaves his house at noon heading due east for 4 miles. He then turns and heads directly south for 6 miles until he reaches the marina. What is the straight-line distance from Paxton's house to the marina?

A. 2image
B. 7
C. 2image
D. 10
E. 4image

13. Which of the following is an expression for the area of the triangle below?

image

F. 2w2 - 8w + 10
G. image
H. 6w2 - 24w + 21
J. 12w2 - 48w + 42
K. (2w - 7)(w + 3)

14. What is the difference in the measure of one interior angle and one exterior angle of a regular decagon?

A. 36°
B. 64°
C. 108°
D. 144°
E. 180°

15. For imageABC, what is the value of tan(a) - cos(c)?

image

F. image
G. image
H. 0
J. image
K. image