ACT Math Practice Test 67

1. In a geometric sequence, the quotient of any two consecutive terms is the same. If the third term of a geometric sequence is 8 and the fourth term is 16, then what is the second term?

A. -8
B. -4
C. 2
D. 4
E. 8

2. If the function f(a, b) is defined as f(a,b) = 2ab - (a + b), then f(3,4) = ?

F. 7
G. 17
H. 21
J. 24
K. 31

3. The Korean BBQ taco truck sells short rib tacos for 99?. Christine has only pennies, nickels, dimes, and quarters in her purse. If she wants to pay with exact change, then what is the least number of coins Christine can use to buy a 99? taco? (Note: Assume any sales tax is included in the price.)

A. 6
B. 7
C. 8
D. 9
E. 10

4. What is the area, in square inches, of a square with a side length of 8 inches?

F. 8
G. 16
H. 24
J. 32
K. 64

5. If x = 3, then the expression is equal to:

A. 2
B.
C. 0
D.
E. -8

6. Which of the following is NOT a factor of 1,776 ?

F. 12
G. 16
H. 18
J. 24
K. 37

7. Lauren's world history teacher needs to select one of his 19 students to lead the class in song. Lauren's teacher decides that the song leader, who will be chosen at random, CANNOT be any of the 4 seniors in the class. What is the probability that Lauren, who is NOT a senior, will be chosen?

A. 0
B.
C.
D.
E.

8. If 4(x - 5) + x = 45, then x = ?

F. 5
G. 8
H. 9
J. 10
K. 13

9. Joe rents a car to drive across the state to visit his family for Thanksgiving. The car rental company charges Joe $112 for the weekend rental, plus $0.99 for each mile he drives. If Joe drives the rental car m miles, then which of the following expressions gives Joe's total cost, in dollars, for renting the car?

A. 0.99m - 112
B. 0.99m + 112
C. 49.95m
D. 112m + 0.99
E. 112.99m

10. Stella wants to buy a scooter for $4,800. A loan company offers to finance the purchase in return for payments of $130 a month for 4 years. If Stella were to finance the scooter, then how much more than the purchase price of the scooter will Stella have paid at the end of the 4-year period?

F. $ 520
G. $ 780
H. $ 1,040
J. $ 1,300
K. $ 1,440

11. The expression is equivalent to:

A. 5y4
B. 5y6
C. 5y8
D. 16y4
E. 16y6

12. Which of the following is equal to

F.
G. 2
H. 12
J. 20
K.

13. Point C is at 3.5 on the real number line. If Point D is also on the real number line and is 8.5 units from C, then which of the following are the possible locations of D ?

A. -12 and -5
B. -12 and 5
C. -5 and 5
D. 12 and -5
E. 12 and 5

14. The mean of 4 numbers in a data set is 7. If 3 of these numbers are 2, 4, and 10, then which of the following is the fourth number?

F. 4
G. 7
H. 8
J. 10
K. 12

15. Motorcars, Inc. made $1,489,000 in net profit in 2007. In 2009, Motorcars, Inc. made $1,725,000 in net profit. If the net profit increased linearly from 2007 through 2009, then what was the net profit earned in 2008 ?

A. $1,607,000
B. $1,698,000
C. $1,724,000
D. $1,779,000
E. $1,842,000