What is the inequality that corresponds to the graph?
(A)y > 3x + 2
(B)y ≤ −3x + 2
(C)y ≥ −3x + 2
(D)y < 3x + 2
(E)y < −3x + 2
Maureen wants to put an exercise wheel in her hamster's cage. The height of the cage is 22 inches, but there must be a 1-inch space above and below the wheel to allow for the wheel frame. What is the radius of the largest wheel that Maureen can place in the cage?
（A）5 （B） 2 （C） 10 （D） 11 （E） 20
Correct Answer: C
Paul is tying red and white ribbons around a gift box. He begins by tying the white ribbon and one red ribbon around the box. These two ribbons intersect on one face of the box at a 62° angle, as shown in the figure below. Now Paul wants to tie a second red ribbon onto the box so that the two red ribbons are parallel. What is the degree measure of the angle, indicated below, between the white ribbon and the bottom red ribbon?
（A）62° （B） 76° （C） 90° （D） 104° （E） 118°
Correct Answer: E
When she chooses a password, Eloise always uses exactly ten different characters: five letters (A, B, C, D, and E) and five numbers (2, 3, 4, 5, and 6). Additionally, she always ensures that no pair of letters is consecutive and that no pair of numbers is consecutive. How many different passwords conform to these rules?
(F) fewer than 1,000(G) between 1,000 and 10,000(H) between 10,000 and 100,000(J) between 100,000 and 1,000,000(K) more than 1,000,000
Correct Answer: H
More ACT Math Exam Questions
- 1The ratio of three sides of a triangle is 16:19:28. If the length of the short side of a similar triangle is 20, what is the length of the longest side of the similar triangle?
- 2If x = 6a + 3 and y = 9 + a, which of the following expresses y in terms of x?
- 3If and , what is sin x?
- 4As shown here, Xs are arranged in a triangular pattern by adding two Xs to each additional row. If n = number of rows, which of the following properly describes the total number of Xs in the triangular pattern for any value of n?
What is the value of 4 + 3x – y when x = 3 and y = -1?