ACT math practice test 7

1. What is the area of ΔRST in the following figure?

A. 84
B. 91
C. 96
D. 105
E. 120

2. Antoine bought a new electric guitar that cost $588.60 after 9% sales tax was added. What was the price of the guitar without tax?

F. $536
G. $540
H. $542
J. $545
K. $548

3. Which of the following points on the xy-graph is the x-intercept of the equation y= 2x– 8?

A. (0, 4)
B. (0, )
C. (4, 0)
D. (–4, 0)
E. (, 0)

4. What is the determinant of the matrix ?

F. 0
G. 12
H. |0|
J. |6|
K. |12|

5. In the following figure, what is the length of ?

A. 24
B. 25
C. 26
D. 27
E. 28

6. If

F.
G.
H.
J.
K.

7. A 25-foot ladder stands against a vertical wall at an angle of ndegrees with the ground. If , how far is the base of the ladder from the wall?

A. 12
B. 13
C. 14
D. 15
E. 16

8. In the following figure, if the dimensions of the trapezoid are as shown and the area of the trapezoid is 144, what is the value of x?

F. 2
G. 3
H. 4
J. 6
K. 8

9. Ansgar is writing a novel. He writes seven days a week. On each of those days he writes for at least 4 hours but never more than 8 hours. Last week, he wrote for exactly 46 hours. What is the maximum number of days on which he could have written for 8 hours?

A. 2 days
B. 3 days
C. 4 days
D. 5 days
E. 6 days

10. Which of the following is a possible value of xif 5x2– 10x+ 4 = 0?

F.
G.
H.
J.
K.

11. If you multiply a number by 3 and then add 40, the result is the same as if you first add 17 and then multiply by 2. What is the result if you subtract 9 from the number and then multiply by 4?

A. –60
B. –72
C. –84
D. –108
E. –124

12. If 7x+ 4y= 18 and 3x+ y= –3, what is the value of x+ y?

F. 9
G. 11
H. 12
J. 14
K. 15

13. In the following figure, the area of the shaded region is 20% of the area of the whole circle centered at P.The angle shown measures ddegrees. What is its measurement in radians?

A.
B.
C.
D.
E.

14. In the following figure, the area of the large square is 81. What is the area of the shaded square?

F. 45
G.
H.
J.
K.

15. Let f(x) = x2+ 10x+ 2. If g(x) is a transformation that moves f(x) both one unit up and one unit to the right, then g(x) =

A. x2+ 8x– 6
B. x2+ 9x+ 3
C. x2+ 10x– 6
D. x2+ 11x+ 3
E. x2+ 12x+ 6