If a + 3b = 27 and a - 3b = 9, then b = ?
(F) 3
(G) 9
(H) 14
(J) 18
(K) 36
Which of the following is the solution set for x such that 3x - 9 ≥ - 3(9 - x)?
(A)The empty set (B) The set containing only zero (C) The set of negative numbers (D) The set of positive numbers (E) The set of real numbers
Correct Answer: E
The length of the hypotenuse of the right triangle figured below is 16, and the length of one of its legs is 12. What is the cosine of angle θ?
(A) (B) (C) (D) (E)
Correct Answer: A
When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the same number and then multiplied by 11. What is the number?
(F) 10(G) 13(H) 19(J) 23(K) 31
Correct Answer: F
More ACT Math Exam Questions
- 1
What is the perimeter, in feet, of a rectangle with width 8 feet and length 17 feet?
- 2
Given triangle CDE (shown below) with a right angle at point E, what is the length of leg DE?
- 3The width of a rectangular cardboard box is half its length and twice its height. If the box is 12 cm long, what is the volume of the box in cubic centimeters?
- 4Stacie has a bag of solid colored jellybeans. Each jellybean is orange, purple, or pink. If she randomly selects a jellybean from the bag, the probability that the jellybean is orange is , and the probability that it is purple is . If there are 72 jellybeans in the bag, how many pink jellybeans are in the bag?
- 5
An angle in the standard (x,y) coordinate plane has its vertex at the origin and its initial side on the positive x-axis. If the measure of an angle in standard position is (1,314°), it has the same terminal side as an angle of each of the following measures EXCEPT: