ACT math practice test 6

1. If 15% of nis 300, what is 22% of n?

F. 400
G. 440
H. 480
J. 525
K. 550

2. What is the formula of a line that is perpendicular to and includes the point (3, 4)?

A.
B.
C. y= 3x+ 5
D. y= –3x+ 5
E. y= –3x+ 13

3. Two values of msatisfy the equation |5m– 11| – 3m= 9. What is the result when you multiply these two values together?

F. 2.5
G. 2.75
H. 3.2
J. 3.75
K. 4.25

4. In the following figure, what is the midpoint of ?

A.
B.
C.
D.
E.

5. If f(x) = x2+ 9 and g(x) = 24 + 4x,what is the value of ?

F. 0.75
G. 0.8
H. 1.2
J. 1.25
K. 1.75

6. In the following figure, what is the value of xin terms of y?

A. 10y
B. 10y2
C.
D.
E.

7. Two variables, vand w,are inversely proportional such that when v= 7, w= 14. What is the value of wwhen v= 2?

F. 1
G. 4
H. 14
J. 28
K. 49

8. The ratio of adults to girls to boys on a class field trip was 1:4:5. If the trip included 6 more boys than girls, how many adults were with the group?

A. 3
B. 4
C. 6
D. 8
E. 12

9. In the following figure, line aand line b are parallel and pass through the points shown. What is the equation for line b?

F.
G.
H.
J.
K.

10. A bag contains 7 black socks, 12 white socks, and 17 red socks. If you pick one sock at random from the bag, what is the probability that it will NOT be white?

A.
B.
C.
D.
E.

11. If , then

F.
G.
H.
J.
K.

12. If pq= 3, then p3q4+ p4q5=

A. 12q
B. 7p+ 9q
C. 12p+ 20q
D. 96p
E. 108q

13. Jane ran around the perimeter of a rectangular park at a constant rate of 10 feet per second. The park has an area of 67,500 square feet, and its length is exactly three times its width. For how many seconds did Jane run?

F. 60
G. 120
H. 240
J. 360
K. 480

14. Danielle’s phone plan charges her $30 per month for the first 200 minutes and then $0.10 per minute for each subsequent minute.

Which of the following functions takes an input of any whole number value of x200 and outputs the value for f(x) as the amount of dollars Danielle would pay for xminutes of phone usage?

A. f(x) = 0.1x+ 10
B. f(x) = 0.1x+ 20
C. f(x) = 0.1x+ 30
D. f(x) = 0.1x+ 200
E. f(x) = 0.1x+ 230

15. Danielle’s phone plan charges her $30 per month for the first 200 minutes and then $0.10 per minute for each subsequent minute.

If Danielle paid exactly $100 last month, how many minutes did she use?

F. 700
G. 800
H. 900
J. 1,000
K. 1,200