ACT math practice test 10

1. In the following figure, each of the four angles in the parallelogram is as shown. What is the value of y?

F. 30
G. 35
H. 40
J. 45
K. 50

2. If 2xy= 32 and 5x+ 3y= 14, then xy=

A. 35
B. –40
C. 75
D. 100
E. –120

3. What is the value of ain terms bif ?

F.
G.
H.
J.
K.

4. If ppercent of 250 is 75, what is 75% of p?

A. 22.5
B. 25
C. 75
D. 225
E. 250

5. What is the slope of the line 9x– 3y= 10?

F. 3
G. –3
H. 9
J.
K.

6. In the following figure, fis the midpoint of . Which of the following are the coordinates of f?

A.
B.
C.
D.
E.

7. If |6 – 4n| > 1, which of the following must be true?

F.
G.
H.
J.
K.

8. In the following figure, sin θ=

A.
B.
C.
D.
E.

9. The formula for the volume of a sphere is , and the formula for the surface area of a sphere is . If a sphere has a surface area of 36π, what is its volume?

F. 27π
G. 36π
H. 54π
J. 72π
K. 108π

10. What is a possible value of xif ?

A.
B.
C.
D.
E.

11. If mand nare both factors of 75, which of the following could equal m+ n:

F. 12
G. 18
H. 22
J. 36
K. 54

12. The following graph shows the percentage of shares controlled by five owners of a startup software company. Zach intends to sell his shares equally among the other four owners. After this sale is final, what percentage of the company will Bell own?

A. 25.25%
B. 27.25%
C. 27.50%
D. 39.90%
E. 34%

13. A clown at an amusement park makes animal shapes from twisted balloons. She sells each animal based on the number of balloons it requires, according to the following chart:

Which of the following functions equals the dollar cost of a balloon animal that contains x balloons?

F. f(x) = x
G. f(x) = x + 4
H. f(x) = 4x + 0.5
J. f(x) = 0.5x + 4
K. f(x) = 0.5x + 3.5

14. What is the sum of the two values of x that satisfy the equation 4x2 – 3x – 1 = 0?

A. 0.75
B. 1.25
C. 2.5
D. –0.75
E. –1.25

15. What is the result when you add the matrix to the matrix and multiply the result by 2?

F.
G.
H.
J.
K.