ACT math practice test 2

1. If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two numbers?

F. 12
G. 13
H. 15
J. 18
K. 20

2. In the following figure, the two horizontal lines are parallel. Which of the following does NOT equal 180°?

A. (p+ r
B. (p+ t
C. (q+ s
D. (r+ s+ t
E. (t+ u

3. If a and b are the two values of t that satisfy the equation t2– 6t+ 8 = 0, with a> b,what is the value of ab?

F. 2
G. 4
H. 6
J. 8
K. 10

4. A rectangular box has two sides whose lengths are 3 centimeters and 9 centimeters and a volume of 135 cm3. What is the area of its largest side?

A. 27 cm2
B. 36 cm2
C. 39 cm2
D. 45 cm2
E. 48 cm2

5. If you graph the lines 3x+ 2y= –2 and 5xy= 14 on a standard xy-graph, at which point will the lines intersect?

F. (1, –7)
G. (2, –4)
H. (–5, 4)
J. (–9, 3)
K. (11, 2)

6. Which of the following equals 12x2y3z4– 30xy2+ 24x2y5z?

A. 6xy2(2yz3– 5 + 4xy3)
B. 6xy2(2xyz4– 5 + 4xy3z)
C. 6xy2z(2xyz3– 5 + 4xy3)
D. 12x2y3(yz4– 5 + 2y2z)
E. 12x2y3z(xy2z3– 5z+ 2y2)

7. In the following figure, ABCDis a square and is a diameter of the circle centered at O.If the area of the square is 100, what is the area of the shaded region?

F.
G.
H.
J.
K.

8. Anderson has a phone plan that charges a monthly rate of $50 for the first 1,000 minutes plus $0.25 for each additional minute. Which of the following functions models Anderson’s plan for all m> 1,000, with mas the number of minutes per month and f(m) as the monthly charge?

A. f(m) = 0.25m
B. f(m) = 0.25m+ 50
C. f(m) = 0.25m– 200
D. f(m) = 0.25m– 950
E. f(m) = 0.25m+ 1,000

9. What is the x-intercept of a line that passes through the point (3, 4) and has a slope of 2?

F. –2
G. –1
H. 0
J. 1
K. 2

10. This question refers to the following figure, which shows a graph of the percentage of votes tallied by an online book club regarding the next author that the club should focus on.

Which of the following pairs of authors received exactly 30 percent of the votes altogether?

A. Cormac McCarthy and Toni Morrison
B. Gabriel García Márquez and Toni?Morrison
C. Toni Morrison and Annie Proulx
D. Toni Morrison and John Steinbeck
E. Annie Proulx and John Steinbeck

11. This question refers to the following figure, which shows a graph of the percentage of votes tallied by an online book club regarding the next author that the club should focus on.

If exactly 260 people voted, how many votes did Cormac McCarthy receive?

F. 15
G. 30
H. 33
J. 39
K. 45

12. Anne and Katherine are both saving money from their summer jobs to buy bicycles. If Anne had $150 less, she would have exactly as much as Katherine. And if Katherine had twice as much, she would have exactly 3 times as much as Anne. How much money have they saved together?

A. $300
B. $400
C. $450
D. $625
E. $750

13. What is the solution set for x for the inequality |2x+ 7| > 11?

F. 2 < x< 9
G. –9 < x< 2
H. x< 2 or x> 9
J. x< –2 or x> 9
K. x< –9 or x> 2

14. On a standard xy-graph, what is the distance between (–2, 4) and (1, –2)?

A. 5
B.
C.
D.
E.

15. If log5x= 2, what is ?

F. 5
G. 25
H. 32
J.
K.