## If |x| = x + 12, then x = ?

(A)-12

(B) -6

(C) 0

(D) 6

(E) 12

In the xy-coordinate system, (, s) is one of the points of intersection of the graphs y = 2x^{2}+6 and y = -4x^{2} + m, where m is a constant. What is the value of m?

（A）30 （B） 33 （C） 36 （D） 39 （E） 42

**Correct Answer: C**

The vertices of a triangle are A(−1,3), B(3,0), and C(−2,−1). Find the length of side AC.

(A)√15 (B)√17 (C)1√5 (D)√7 (E)1√7

**Correct Answer: B**

What are the solutions of the polynomial equation 2x^{2} - 5x = 12?

（A）-4 or 1.5 （B） -4 or -3 （C） -1.5 or 4 （D） 1.5 or 4 （E） 4 or 6

**Correct Answer: C**

### More ACT Math Exam Questions

- 1
Lisa has 5 fiction books and 7 nonfiction books on a table by her front door. As she rushes out the door one day, she takes a book at random. What is the probability that the book she takes is fiction?

- 2It is estimated that, from the beginning of 1993 to the end of 1997, the average number of CDs bought by teenagers increased from 7 per year to 15 per year. During the same time period, the average number of video games purchased by teenagers increased from 6 per year to 18 per year. Assuming that in each case the rates or purchase are the same, in what year did teenagers buy the same average number of CDs and video games?
- 3
A graduation cap is tossed upward. It is

*f*feet above the ground*s*seconds after it has been thrown. The relationship between*f*and*s*is given by the equation*f*= 60*s*- 17*s*^{2}where 0 ≤*s*≤ 3.5. How many feet above the ground is the cap 3 seconds after it is thrown? - 4If a board 9 feet 6 inches in length is cut into 2 equal parts, what will be the length of each part?
- 5m ∠ABC = 120° and m ∠CDE = 110°. Find the measure of ∠C