ACT math practice test 1

1. Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?

A. 35
B. 36
C. 37
D. 38
E. 39

2. Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?

F. 50 minutes
G. 1 hour and 10 minutes
H. 1 hour and 12 minutes
J. 1 hour and 15 minutes
K. 1 hour and 20 minutes

3. If 5x+ 3 = 10x– 17, what is the value of x?

A. 1
B. 2
C. 3
D. 4
E. 5

4. The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If kis the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?

F. 13
G. 14
H. 16
J. 18
K. 20

5. William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?

A. $2,400
B. $2,500
C. $2,600
D. $2,800
E. $3,000

6. When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the same number and then multiplied by 11. What is the number?

F. 10
G. 13
H. 19
J. 23
K. 31

7. Which of the following inequalities is represented by the following number line?

A. –5 < x< 5
B. –5 x< 5
C. –5 < x5
D. |x| < 5
E. 5 |x|

8. In the following figure, the two triangles are similar. The lengths of their sides are shown. What is the value of yin terms of x?

F. x+ 1
G. x+ 2
H. x+ 3
J. x+ 4
K. x+ 5

9. Which of the following is equal to (n– 3)2if n= 11?

A. (n+ 6)(n– 6)
B. (n+ 5)(n– 7)
C. (n+ 4)(n– 8)
D. (n+ 3)(n– 9)
E. (n+ 2)(n– 10)

10. A square field has an area of 22,500 square feet. To the nearest foot, what is the diagonal distance across the field?

F. 150 feet
G. 178 feet
H. 191 feet
J. 212 feet
K. 260 feet

11. What is the slope of a line on a standard xy-plane that passes through the point (1, 3) and (4, –3)?

A. –1
B. 2
C. –2
D.
E.

12. Andrea wants to fill in two sections of her backyard with sod that must be purchased in 2-x-2-foot squares. If the two sections measure 30 x 40 feet and 60 x 80 feet, how many squares of sod does she need to buy?

F. 1,000
G. 1,250
H. 1,500
J. 1,600
K. 2,000

13. In the following triangle, what is the value of sec n?

A.
B.
C.
D.
E.

14. If pq– 3r= 2, what is the value of qin terms of pand r?

F. 2p+ 3pr
G. 2p– 3pr
H.
J.
K.

15. If f(x) = 4x2– 5x– 5 and g(x) = 2x– 4, what is the value of ?

A. 1
B. 2
C.
D.
E.