ACT math practice test 22

1. The expression x2 - 7x + 12 is equivalent to:

F. (x - 12)(x + 1)
G. (x - 4)(x - 3)
H. (x - 4)(x + 3)
J. (x - 6)(x - 2)
K. (x - 6)(x + 2)

2. When x = 5 and y = 2, the expression

A.
B.
C.
D.
E.

3. The minutes and seconds on a 60-minute digital timer are represented by 3 or 4 digits. What is the largest product that can be obtained by multiplying the digits in one of these representations?

(Note: When the timer displays 16:15, the product of the digits is (1)(6)(1)(5) = 30.)

F. 90
G. 2,025
H. 3,481
J. 3,600
K. 6,561

4. The difference of 2 integers is 6. The sum of the same 2 integers is 42. What is the lesser of the 2 integers?

A. 18
B. 19
C. 21
D. 23
E. 24

5. The area of the square in the figure below is 324 square centimeters, and the two small isosceles right triangles are congruent. What is the combined area, in square centimeters, of the 2 small triangles?

F. 108
G. 162
H. 216
J. 324
K. 648

6. Jasper wants to measure the altitude of his kite. He ties the kite string to a spike driven into the ground and measures the angle between the string and the ground. Then, he creates 2 similar triangles by adjusting the distance between an 8 foot pole and the spike until the angle created by a piece of string tied to the top of the pole and to the spike with the ground is the same as the angle he measured previously. The length of the string to the kite is 85 feet and the length of the string to the pole is 17 feet. Which of the following is closest to the height, in feet, that the kite is above the ground?

A. 25
B. 40
C. 102
D. 110
E. 181

7. For what value of x, if any, is the equation (x - 1)2 = (x - 7)2 true?

F. -4
G. -1
H. 0
J. 4
K. There is no value of x for which the equation is true.

8. ABC, shown below in the standard (x,y) coordinate plane, is equilateral with vertex A at (0,w) and vertex B on the x-axis as shown. What are the coordinates of vertex C?

A. (w,0)
B. (w,2w)
C. (w,w)
D. (w,2w)
E. (2w, w

9. The diagonal of a square quilt is 4 feet long. What is the area of the quilt in square feet?

F. 16
G. 16
H. 4
J. 4
K.

10. A painter needs to reach the top of a tall sign in the middle of a flat and level field. He uses a ladder of length x to reach a point on the sign 15 feet above the ground. The angle formed where the ladder meets the ground is noted in the figure below as θ. Which of the following relationships must be true?

A.
B.
C.
D.
E.

11. The equation is true for what real value of a?

F. 9
G. 16
H. 25
J. 36
K. 64

12. In rectangle ABCD below, is 16 inches long and is 12 inches long. Points E, F, and G are the midpoints of , and respectively. What is the perimeter, in inches, of pentagon CDEFG?

A. 48
B. 56
C. 96
D. 144
E. 192

The table below details a recent census report about the commuting habits of U.S. workers age 16 or over for the years 2004, 2005, and 2006.

13.

To the nearest percent, what percent of all U.S. workers age 16 or over in 2004 was female?

F. 50%
G. 48%
H. 46%
J. 44%
K. 15%

The table below details a recent census report about the commuting habits of U.S. workers age 16 or over for the years 2004, 2005, and 2006.

14.

The circle graph (pie chart) below represents the 2006 means of transportation for U.S. workers age 16 or over for the 4 transportation types listed. To the nearest degree, what is the measure of the central angle for the "Public" sector?

A. 8°
B. 12°
C. 20°
D. 28°
E. 30°

The table below details a recent census report about the commuting habits of U.S. workers age 16 or over for the years 2004, 2005, and 2006.

15.

Expressed in millions of people, what was the average growth per year for female U.S. workers age 16 or over from 2004 to 2006, rounded to the nearest 0.1 million?

F. 0.5
G. 0.9
H. 1.3
J. 1.8
K. 3.6