ACT math practice test 59

1. Last week Kylie spent the following amounts of time doing homework. Sunday: image hours,
Monday: image hours, Tuesday: 3 hours,
Wednesday: imagehours, Thursday: imagehours.
What was the median number of hours Kylie spent doing homework last week?

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

2. What is (-2x5)4 equivalent to?

F. -16x9
G. -2x9
H. -2x20
J. 2x20
K. 16x20

3. So far Parveen has earned the following scores on four 100-point tests this grading period: 85, 83, 91, and 94. What score must Parveen earn on the fifth and last 100-point test of the grading period to earn an average grade of exactly 90 for the 5 tests?

A. 85
B. 87
C. 89
D. 97
E. 99

4. If x = -3 and y = 2, then 2x2 - 5xy + y2 = ?

F. -44
G. 16
H. 27
J. 52
K. 70

5. What is the solution set for the inequality 2x - 3 < 5x + 6?

A. x < -3
B. x = -3
C. x > -3
D. x < 4
E. x > 5

6. In regular hexagon ABCDEF, CD = 12 cm. What is the length of image in cm?

image

F. 12
G. 12 + image
H. 12 + image
J. 24
K. 72

7. If 18% of a given number is 63, then what is 45% of the given number?

A. 126
B. 157.5
C. 189
D. 220.5
E. 350

8. What is (x3 - 4x2 + 5) - (3x3 + 6x2 - 9) equivalent to?

F. -2x3 -10x2 + 14
G. 4x3 + 2x2 - 4
H. -2x6 - 10x4 + 14
J. -2x3 + 2x2 - 4
K. -2x3 - 10x2 - 4

9. In the diagram, B, C, and d are collinear. The measures of imagea and imageABC are 56° and 69°, respectively. The measure of imageACD = ?

image

A. 55°
B. 111°
C. 115°
D. 121°
E. 125°

10. What is the expression (5x - 4y)(3x + y) equivalent to?

F. 15x2 - 17xy - 4y2
G. 15x2 - 7xy + 4y2
H. 15x2 - 7xy - 4y2
J. 15x + 7xy - 4y
K. 8x2 - 7xy - 4y2

11. What value of x makes the equation 8x - 2(x - 5) = 2x - 20 true?

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

12. When -3 ≤ x ≤ 3, |x -3| + |3 + x | = ?

F. 3
G. 6
H. 2x - 6
J. 2x
K. 2x + 6

13. The figure shows quadrilateral ABCD with angles measured as marked. What is the measure of imagec?

image

A. 120°
B. 115°
C. 105°
D. 100°
E. 80°

14. A tank currently holds 5,000 gallons of water. Each gallon of water weighs about 8 pounds. About how many pounds does the water in the tank weigh?

F. 625
G. 4,000
H. 4,992
J. 5,008
K. 40,000

15. A 3-pound bag of oranges costs $1.99 at Yong's Grocery. A 3-pound bag of the same type of oranges costs $2.17 at Pat's Pantry. How much cheaper, per pound, are the Yong's Grocery oranges than Pat's Pantry oranges?

A. $0.02
B. $0.04
C. $0.06
D. $0.18
E. $1.00