In the following figure, if the perimeter of the square is 20, what is the area of the shaded region?
(F) 10
(G) 12
(H) 12.5
(J) 20.5
(K) 25
What is the value of x if x2– 5x– 14 = 0 and x> 0?
(F) 2(G) 4(H) 5(J) 7(K) 9
Correct Answer: J
Which of the following functions has a range of f(x) ≥4?
(F) f(x) = |x+ 4|(G) f(x) = |x– 4|(H) f(x) = |x+ 4| – 4(J) f(x) = |x– 4| + 4(K) f(x) = |x– 4| – 4
Correct Answer: J
Which of the following correctly factors the expression 25x4 - 16y8?
(F) (25 - 16)(x2 - y4)(x2 + y4) (G) (5x2 - 4y4)(5x2 + 4y4) (H) (25x2 - y4)(x2 + 16y4) (J) (5x4 - 4y8)(5x4 + 4y8) (K) (5x4 - 8y8)(5x4 + 2y8)
Correct Answer: G
More ACT Math Exam Questions
- 1
Phil earned $800 at his summer job and saved all of his earnings. He wants to buy a deluxe drum kit that is regularly priced at $925 but is on sale for
off. The drum kit is subject to 5% sales tax after all discounts are
applied. If Phil buys the kit on sale and gives the sales clerk his
entire summer earnings, how much change should he receive? - 2If 0° < θ < 90° and tan θ =
, what is sin θ + cos θ? - 3An urn contains 7 blue balls, 5 white balls, and 3 red balls. What is the probability that the first ball drawn at random from the urn will NOT be red?
- 4If x and y are integers such that y > 12 and 2x + y = 19, which of the following is the solution set for x?
- 5
In the figure below, F, G, H, and J are collinear.
, 
, and 
are line segments of equivalent length, and the measure of 
JHK is 120°. What is the degree measure of GFK?