ACT Math Practice Questions: Part E

1. Which point in the standard (x, y) coordinate plane below has the coordinates (2,-5)?

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

2. Assume that the statements in the box below are true.All students who attend Tarrytown High School have a student ID.Amelia does not attend Tarrytown High School.Carrie has a student ID.Traci has a student ID.Joseph attends Grayson High School.Michael is a high school student who attends TarrytownHigh School.Considering only the statements in the box, which of the following statements must be true?

F. Michael has a student ID.
G. Amelia is not a high school student.
H. Carrie attends Tarrytown High School.
J. Traci attends Tarrytown High School.
K. Joseph does not have a student ID.

3. The balance of Juan's savings account quadrupled during the year. At the end of the year, Juan withdrew $300, and the resulting balance was $400. What was the balance in the account before it quadrupled?

A. $100
B. $175
C. $300
D. $350
E. $700

4. For what value of a is the equation 3(a + 5) - a = 23 true?

F. 9
G. 8
H. 5
J. 4
K. 2

5. On the real number line below, numbers decrease in value from right to left, and Y is positive. The value of X must be:

A. positive.
B. negative.
C. greater than Y.
D. less than Y.
E. between 0 and Y.

6. In Δ ABC below, ABBC, and the measure of ∠B is 55°. What is the measure of ∠C?

F. 27.5°
G. 55°
H. 62.5°
J. 125°
K. Cannot be determined from the given information

7. If 3(x - 2) = -7, then x =?

A. 3
B. 1
C.
D.
E.

8. Which of the following is a factor of the polynomial x2 + 3x - 18?

F. x - 6
G. x - 12
H. x - 18
J. x + 3
K. x + 6

9. A line in the standard (x, y) coordinate plane is parallel to the x-axis and 5 units below it. Which of the following is an equation of this line?

A. y = -5
B. x = -5
C. y = -5x
D. y = x - 5
E. x = y - 5

10. is equivalent to:

F.
G.
H.
J.
K.

11. A pie recipe calls for cup sugar to make one 9-inch pie. According to this recipe, how many cups of sugar should be used to make three 9-inch pies?

A.
B.
C.
D. 4
E. 3

12. |5 - 3|-|2 - 6| = ?

F. -4
G. -2
H. 2
J. 4
K. 6

13. If Ryan traveled 20 miles in 4 hours and Jeff traveled twice as far in half the time, what was Jeff's average speed, in miles per hour?

A. 80
B. 40
C. 20
D. 10
E. 5

14. If x = -5, what is the value of 2x2 + 6x?

F. -80
G. -20
H. 5
J. 20
K. 50

15. For what value of a is b = 4 a solution to the equation b - 2 = ab + 16?

A. -3.5
B. -1.5
C. 0
D. 3.5
E. 7