A painter needs to reach the top of a tall sign in the middle of a flat and level field. He uses a ladder of length x to reach a point on the sign 15 feet above the ground. The angle formed where the ladder meets the ground is noted in the figure below as θ. Which of the following relationships must be true?
(A) 
(B) 
(C) 
(D) 
(E) 
For what value of x, if any, is the equation (x - 1)2 = (x - 7)2 true?
(F) -4
(G) -1
(H) 0
(J) 4
(K) There is no value of x for which the equation is true.
Correct Answer: J
Which of the following is a prime factorization of 2,100?
（A）2 · 3 · 5 · 7 （B） 22 · 3 · 52 · 7 （C） 22 · 3 · 5 · 35 （D） 22 · 52 · 21 （E） 22 · 550
Correct Answer: B
Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?
(F) 50 minutes(G) 1 hour and 10 minutes(H) 1 hour and 12 minutes(J) 1 hour and 15 minutes(K) 1 hour and 20 minutes
Correct Answer: H
More ACT Math Exam Questions
- 1
Eldridge opened a savings account with an initial balance of $1,000. After that, every month for 8 months, she made one deposit to the account, always for the same amount. During that time, she made just one withdrawal.
If each of Eldridge’s 8 deposits was in the amount of $200 and her withdrawal was $350, how much money did her account have at the end of 8 months?
- 2The variable cost to produce a box of paper is $4.75. The fixed cost for the paper production machinery is $1,600.00 each day. Which of the following expressions correctly models the cost of producing b boxes of paper each day?
- 3Given that a = (3, 2) and b = (15, 8) in the standard (x, y) coordinate plane, what is the distance from a to b?
- 4The graphs of the equations y = –(x) + 1 and y = -(x + 1)2 + 4 are shown in the standard (x,y) coordinate plane below. What real values of x, if any, satisfy the following inequality: –(x + 1)2 + 4 > –(x) + 1?
- 5Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink.
How many different daily lunch specials are possible?