Free Online ACT Math Practice Test 9

1. If x2 - 3 ≤ 13, what is the greatest real value that x can have?

A. 10
B. 5
C. 4
D. 3
E. 0

2. In an isosceles right triangle, the hypotenuse is 12. What is the length of one (1) of the sides?

F.
G.
H.
J.
K.

3. In the standard (x, y) coordinate plane, what is the center of a circle with the equation (x - 2)2 + (y + 1)2 = 4?

A. (-2,1)
B. (-2,4)
C. (2,-1)
D. (4,-2)
E. (-2,2)

4. What is the slope of the line determined by the equation 2x - 3y = 6?

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

5. Fifty (50) households were surveyed to determine the number of TVs in each of the households. The number of TVs in each household is shown in the chart below. What is the average number of TVs per household for these 50 households?

A. 1.0
B. 1.3
C. 2.7
D. 3.6
E. 4.2

6. In the figure below, both circles are centered around X. The length of XY is 2 units and the length of XZ is 6 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?

F. 12π
G. 16π
H. 32π
J. 36π
K. 40π

7. In the standard (x, y) coordinate plane, what is the x intercept of a line that has a slope of and passes through the point (-2,2)?

A. (-3,0)
B. (-5,0)
C. (3,0)
D. (0,-2)
E. (2,0)

8. The figure below represents a solution set for which of the following inequalities?

F. -2x + 12 < x - 2
G. 4x - 2 ≥ 2x - 3
H. 5x + 5 ≥ x
J. 3x - 1 ≤ 5x + 3
K. 6x - 3 > 3x + 2

9. What is the slope of the line pictured in the standard (x, y) coordinate plane below that passes through (1,3) and (5,5) in the standard (x, y) coordinate plane?

A. -2
B.
C.
D.
E.

10. A formula for calculating simple interest is I = Pr, were I is the interest earned in dollars, P is the principal or original investment, and r is the fixed rate of interest. If the amount of interest earned is $2.25 and the interest rate is 3%, what is P?

F. $6.75
G. $7.50
H. $13.30
J. $67.50
K. $75.00

11. Three vertices of a rectangle in the standard (x, y) coordinate plane have the coordinates (-2,3), (4,3) and (4,2). What are the coordinates of the fourth vertex?

A. (-2,-2)
B. (3,-3)
C. (-3,3)
D. (2,-2)
E. (-2,2)

12. If two lines in the standard (x, y) coordinate plane are perpendicular and the slope of one of the lines is , what is the slope of the other line?

F.
G.
H.
J.
K. -5

13. Gail made apple jelly and applesauce out of a bushel of apples. If the number of jars of jelly, j, is 3 less than twice the number of jars of applesauce, a, which expression shows the relationship of jars of jelly, j, to the jars of applesauce, a?

A. 2 j = 2a - 3
B. j - 3 = 2a
C. 2 j = 3a
D. j + 3 = 2a
E. ja = 2a

14. What are the solutions for the equation 3x2 -5x + 2 = 0?

F. x = -1,
G. x = 1,
H. x = -5,
J. , x = 1
K. x = -1,

15. What is the smallest possible value for a where y = sin 2a reaches its maximum?

A.
B.
C. π
D. 2π
E. 4π