For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?
(F) b
(G) b + 5
(H) 2b
(J)
(K) 10
If y is a negative integer, which of the following has the least value?
(A) (B) 100y (C) (D) (E)
Correct Answer: C
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = r 2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?
(A)2 (B)4 (C)8 (D)12 (E)16
Correct Answer: B
Given g(x) = , what is g()?
(A) (B) (C) (D) 2 (E)
Correct Answer: D
More ACT Math Exam Questions
- 1If cot θ = P, which of the following expressions must also equal P?
- 2
If , then
- 3
For all real values of y, 3 - 2(4 - y) = ?
- 4
Which of the following gives the equation for the circle in the standard (x,y) coordinate plane with a center at (4,-8) and a circumference of 10π square coordinate units?
- 5The centers of 3 identically sized circles lie on the diameter of a larger circle, as shown in the figure below. Each of the 4 circles is tangent to 2 other circles, as shown. If the circumference of each small circle is 8π inches, what is the circumference of the largest circle, in inches?