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
Which of the following points on the xy-graph is the x-intercept of the equation y= 2x– 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?
8x + y = 30
8x + 4y = 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 ?
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?
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?