ACT math practice test 39

1. If x = 3, then x2 + 2x - 12 = ?

A. -3
B. 0
C. 3
D. 6
E. 21

2. If 3(2x - 1) = 11x + 27, then x = ?

F. -6
G. -2
H. 2
J. 6
K. 7

3. To make space for new merchandise, a clothing store offered a 15% discount on all current stock.What is the sale price of a jacket that regularly sells for $42?

A. $6.30
B. $8.40
C. $35.70
D. $37.80
E. $41.85

4. In the figure below, line m is parallel to line n. One angle formed with transversal line T measures 60°, as shown. What is the degree measure of imagea?

image

F. 30°
G. 60°
H. 90°
J. 120°
K. Cannot be determined

5. If x = 3, y = 5, and w = 4, what is the value of image ?

A. 9
B. 12
C. 79.5
D. 153
E. 1,689.00

6. For all x, (3x - 5)(4x + 3) = ?

F. 12x2 - 15
G. 12x2 + 11x - 15
H. 12x2 - 11x - 15
J. 12x2 + 29x - 15
K. 12x2 - 29x - 15

7. |5 - 8| - |9 - 3| = ?

A. -9
B. -3
C. 1
D. 3
E. 9

8. image = ?

F. 15
G. 10image
H. 45
J. 34 + 10image
K. 75

9. A carpet company uses the following formula for estimating the number of square feet, a, of carpeting needed for a room x feet by y feet, containing a stairway w feet by z feet, with n stairs:

a = xy + w[z(2n - 1) + 2n]

What is the company's estimate for the number of square feet of carpeting needed for a room that is 15 feet by 18 feet, containing a stairway that is 6 feet by 6 feet with 8 stairs?

A. 826
B. 894
C. 906
D. 1,086
E. 1,636

10. An urn contains 7 blue balls, 5 white balls, and 3 red balls. What is the probability that the first ball drawn at random from the urn will NOT be red?

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

11. A certain watch costs $100, and a certain pearl necklace costs $300. If the cost of the watch increases by 5% and the cost of the pearl necklace decreases by 10%, what will be the sum of their new costs?

A. $375
B. $385
C. $395
D. $405
E. $415

12. In the figure below, image is tangent to circle O at point T. If image = 6 units, image = 8 units, and image = 10 units, how many units long is the radius of the circle?

image

F. 2
G. 5
H. 6
J. 8
K. 10

13. If a = BC, b = x, and c = yz, then AB = ?

A. xyzx
B. yzxy
C. zxyz
D. xyyz
E. xyz

14. Which of the following inequalities specifies precisely the real values of x that are solutions to the inequality -5 < -3x - 7?

F. x < 4
G. image
H. image
J. image
K. x > 4

15. What is the slope of the line determined by the equation image?

A. 3
B. 1
C. image
D. image
E. -3