ACT math practice test 43

1. What is the value of the expression (y - x)3 when x = 5 and y = 1?

A. -64
B. -4
C. 4
D. 16
E. 64

2. What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?

F. 15
G. 30
H. 60
J. 90
K. 180

3. If [-S + h(T o 3 - w)]R = 1, then which of the following variables CANNOT equal 0?

A. h
B. R
C. S
D. T
E. w

4. In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do NOT come from families with only one child?

F. 220
G. 514
H. 2,202
J. 5,138
K. 7,120

5. For all x < 3, (3 - 2x)2 = ?

A. x2
B. 9 - x2
C. 9 + x2
D. 9 - 10x - 4x2
E. 9 - 12x + 4x2

6. What is the slope-intercept form of the equation 3y + 2x = 24?

F. image
G. image
H. 3 = 2m + b
J. m = 2b + 24
K. y = 2x + 24

7. What is the slope of a line perpendicular to the line 3x + 2y = 19?

A. - image
B. image
C. image
D. image
E. 3

8. The volume of a cone is given by the formula V = imageR2h, where R is the radius of the base of the cone and h is the height of the cone. What is the volume, in cubic centimeters, of a cone with a height of 8 cm that has a base with a radius of 3 cm?

image

F. 72π
G. 48π
H. 24π
J. 12π
K. 8π

9. Given that m and n are parallel lines, T is a transversal crossing both m and n, and m imageb = 100°, what is the measure of imagee?

image

A. 40°
B. 50°
C. 80°
D. 100°
E. 120°

10. In the figure below, 3 lines intersect at the indicated angles.

What is the degree measure of imagex?

image

F. 35°
G. 52.5°
H. 65°
J. 70°
K. 75°

11. Find two arithmetic means between 11 and 26 such that the difference between consecutive numbers is the same:

11,________ ,________, 26

A. 14, 18
B. 15, 20
C. 16, 21
D. 17, 23
E. 18, 24

12. For all real numbers x and y, (2x + 3y)2 = ?

F. 6x2y2
G. 4x2 + 6y2
H. 4x2 + 9y2
J. 4x2 + 6xy + 6y2
K. 4x2 + 12xy + 9y2

13. In a certain town in New Hampshire, there are 7,695 registered voters, 60% of whom are Democrats. How many of the town's registered voters are Democrats?

A. 513
B. 2,565
C. 3,078
D. 4,617
E. 7,695

14. Which of the following lines has the same graph as the line 2x - y = 12?

F. 6x + 3y = 36
G. 4x + 2y = 24
H. 4x - 2y = 12
J. 4x - 4y = 24
K. -6x + 3y = -36

15. When imagew + imagew = 1, what is the value of w?

A. image
B. image
C. image
D. image
E. image