Free Online ACT Math Practice Test 4

1. A car leaves a parking lot and travels directly north for 6 miles. It then turns and travels 8 miles straight east. How many miles is the car from the parking lot?

F. 6
G. 8
H. 10
J. 14
K. 68

2. In the standard (x, y) coordinate plane, how many times does the graph of (x + 1)(x - 2)(x + 3)(x + 4) intersect the x-axis?

A. 1
B. 4
C. 6
D. 10
E. 24

3. Marcia's rectangular horse corral is 50 feet wide by 125 feet long. Marcia wants to increase the area by 1,850 square feet by increasing the width and length by the same amount. What will be the new dimensions (width by length), in feet?

F. 55 by 130
G. 60 by 135
H. 65 by 135
J. 65 by 140
K. 70 by 145

4. The lengths of the sides of a triangle are 3 consecutive even integers. If the perimeter of the triangle is 48 inches, what is the length, in inches, of the longest side?

A. 12
B. 14
C. 16
D. 18
E. 24

5. In the standard (x, y) coordinate plane, what is the slope of the line with equation 4y - 6x = 8?

F.
G. -6
H.
J. 3
K. 6

6. In the right triangle shown below, which of the following statements is true about ∠X?

A.
B.
C.
D.
E. Use the following information to answer Questions 22-24.Quadrilateral QRST is shown below in the standard (x, y) coordinate plane. For this quadrilateral, QT = 5, , ST = 3, and RQ = 6, all in coordinate units.

QRST, in coordinate units?

F. 26.0
G. 22.5
H. 19.8
J. 15.0
K. 14.0


10. If 5 times a number x is subtracted from 15, the result is negative. Which of the following gives the possible value(s) for x?

A. All x < 3
B. All x > 3
C. 10 only
D. 3 only
E. 0 only

11. The temperature, t, in degrees Fahrenheit, in a certain city on a certain spring day satisfies the inequality |t - 34|≤ 40. Which of the following temperatures, in degrees Fahrenheit, is NOT in this range?

F. 74
G. 16
H. 0
J. -6
K. -8

12. What is the slope-intercept form of 10x - y - 8 = 0?

A. y = -2x
B. y = -10x - 8
C. y = -10x + 8
D. y = 10x - 8
E. y = 10x + 8

13. A chord 32 centimeters long is 6 centimeters from the center of a circle, as shown below. What is the radius of the circle, to the nearest tenth of a centimeter?

F. 5.3
G. 13.9
H. 17.1
J. 26.0
K. 38.0

14. What is the least common multiple of 3, 4a, 5b, and 6ab?

A. 15ab
B. 60ab
C. 60a2b
D. 120ab
E. 120a2b

15. What is the y-coordinate of the point in the standard (x, y) coordinate plane at which the 2 lines y = 3x + 4 and y = 2x + 6 intersect?

F. 1
G. 2
H. 4
J. 6
K. 10