## Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed Matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?

(F) 10.5 miles per hour

(G) 10 miles per hour

(H) 9 miles per hour

(J) 8 miles per hour

(K) 7.5 miles per hour

The Correct Answer

Explanation

Which of the following points on the *xy-*graph is the x-intercept of the equation *y*= 2*x*– 8?

(A) (0, 4)(B) (0, )(C) (4, 0)(D) (–4, 0)(E) (, 0)

**Correct Answer: C**

What is the *y*-coordinate of the solution of the following system, presuming the system has a solution?

8*x* + *y* = 30

8*x* + 4*y* = 96

(F) 1 (G) 8 (H) 19 (J) 22 (K) The system has no solution.

**Correct Answer: J**

What is the value of x when 2x + 3 = 3x – 4 ?

(A)-7

(B)

(C)1

(D)

(E)7

**Correct Answer: E**

### More ACT Math Exam Questions

- 1Three vertices of a rectangle in the standard (x, y) coordinate plane have the coordinates (-2,3), (4,3) and (4,2). What are the coordinates of the fourth vertex?
- 2Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly south for 4 miles. How many miles is Dave from his house?
- 3If x = 3T - 7 and y = 4 - T, which of the following expresses y in terms of x?
- 4
If , with a > 0, b> 0, and c> 0, what is the value of ain terms of band c?

- 570 is 10% of what number?