Which of the following inequalities is represented by the following number line?
(A) –5 < x< 5
(B) –5 ≤x< 5
(C) –5 < x≤5
(D) |x| < 5
(E) 5 ≤|x|
At 10:00, Angela starts from her home and runs at a constant pace to Kathleen’s house, which is exactly 2 miles away. Immediately, she and Kathleen turn around and walk back to Angela’s house exactly 4 miles an hour slower than Angela ran. When they arrive at Angela’s house, the time is 10:45. At what speed did Angela run?
(F) 6 miles per hour(G) 6.5 miles per hour(H) 7 miles per hour(J) 7.5 miles per hour(K) 8 miles per hour
Correct Answer: K
In the following figure, line aand line b are parallel and pass through the points shown. What is the equation for line b?
(F) (G) (H) (J) (K)
Correct Answer: H
In the figure below, W, X, and Z are collinear, the measure of WXY is 4a°, and the measure of YXZ is 11a°. What is the measure of WXY?
(F) 12° (G) 48° (H) 96° (J) 132° (K) 264°
Correct Answer: G
More ACT Math Exam Questions
- 1
Below is the graph that a specialty automobile manufacturer uses to plot the speed tests done on his new cars. The speed is recorded in units of and is conducted for a period of 9 seconds. A certain order of 3 of the following 6 actions describes the results of the speed test depicted in the graph below. Which order is it?
I. Constant speed for 1 second
II. Constant speed for 3 seconds
III. Speed increase for 4 seconds
IV. Speed increase for 9 seconds
V. Speed decrease for 2 seconds
VI. Speed decrease for 7 seconds
- 2A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?
- 3
A function is defined for x and y such that f(x, y) = -2xy + y + x - 4. So, for x = 2 and y = 3, f(2, 3) = -2 × 2 × 3 + 3 + 2 - 4 = -12 + 1 = -11. If x and y are to be chosen such that f(x,y) = f(y,x), then which of the following restrictions must be placed on x and y?
- 4What is the slope of the line determined by the equation ?
- 5
If x and y are real numbers and 0 < x < y < , which of the following gives the set of all values which could have?