ACT Math Practice Test 63

1. If = -6 then which of the following must be true?

A. y = -18
B. y = -
C. y = -
D. y = -1
E. y =

2. The expression is equivalent to:

F. 3z5
G. 8z5
H. 3z8
J. 8z8
K. 8z12

3. If f(x) = , then f(12) = ?

A. -4
B. 3
C. 9
D. 12
E. 126

4. In one month, Rebecca, an entertainment journalist, recorded how many movies she watched and how many articles she wrote. She plotted this data in the graphs below: Graph 1 shows the relationship between the time elapsed and the number of movies watched; Graph 2 shows the relationship between the number of movies watched and the number of articles written. According to this data, how many articles did she write in the first 3 weeks of this month?

F. 3
G. 5
H. 8
J. 12
K. 15

5. What is the value of 117 - 54 + 6, rounded to the nearest ten?

A. 40
B. 50
C. 60
D. 70
E. 80

6. A restaurant has 4 napkins at each table, plus 20 extra napkins held in reserve. If the restaurant has a total of 100 napkins, how many tables are in the restaurant?

F. 15
G. 20
H. 25
J. 30
K. 35

7. If 4(w - 2) - w = 46, then w = ?

A. 8
B. 10
C. 16
D. 18
E. 20

8. Six points (U, V, W, X, Y, Z) appear on a number line in that order, as shown in the figure below. Which of the following rays does NOT contain WX ?

F. UY
G. VZ
H. YV
J. YZ
K. ZV

9. If ab = 32, bc = 40, and c = 5, then which of the following could be the value of a ?

A. 4
B. 6
C. 8
D. 10
E. 12

10. Yunyun swam 4 laps, and her coach recorded her time for each as 43.4 seconds, 44.1 seconds, 42.9 seconds, and 45.4 seconds, respectively, for a total of 175.8 seconds. If Yunyun must swim her 5th lap in x seconds in order to make her average time for all 5 laps 43 seconds, then which of the following equations could be solved for the correct value of x ?

F.
G. = 43
H. = 43
J. + x = 43
K. + x = 43

11. For how many integers from 123 to 132 is the tens digit greater than the ones digit?

A. 2
B. 3
C. 4
D. 9
E. 10

12. The number of points Julie scores in a basketball game is proportional to the amount of time she practiced that week. Last week, Julie scored 20 points after practicing for 12 hours. How many hours should Julie practice this week if she wants to score 35 points?

F. 7
G. 14
H. 16
J. 20
K. 21

13. Rectangle ABCD is graphed in the (x,y) coordinate plane below. What fraction of rectangle ABCD lies in Quadrant IV ?

A.
B.
C.
D.
E.

14. Which of the following is equivalent to the expression ?

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

15. A circle with the equation x2 + y2 = 49 is graphed in the standard (x,y) coordinate plane. At which 2 points does this circle intersect the x-axis?

A. (-1,0) and (1,0)
B. (-7,0) and (7,0)
C. (-14,0) and (14,0)
D. (-21,0) and (21,0)
E. (-49,0) and (49,0)