When a ≠ b, the expression 
. Which of the following describes the complete set of x values that make this inequality true?
(A) x = -4 only
(B) x = 4 only
(C) x = -
only
(D) x < 0
(E) x > 0
Which of the following trigonometric functions has an amplitude of 3?
(Note: the amplitude of a trigonometric function is 
the nonnegative difference between the maximum and minimum values of the function.)
(F) f(x) = 
sin x
(G) f(x) = cos 3x
(H) f(x) = sin(x)
(J) f(x) = 3 tan x
(K) f(x) = 3 cos x
Correct Answer: K
A rectangular solid consisting of 18 smaller cubes that are identical is positioned in the standard (x,y,z) coordinate system, as shown below. Vertex M has coordinates of (-1,3,0) and point O on the y-axis has coordinates of (0,3,0). What are the coordinates of vertex N?
(F) (3,0, 2) (G) (2,2, 0) (H) (3,0,-1) (J) (0,2, 2) (K) (2,0, 2)
Correct Answer: K
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
More ACT Math Exam Questions
- 1
If
, what is the value of a? - 2
In the following figure, the large quadrilateral is a square. What is the area of the shaded region in terms of x and y?
- 3
The slope of a line in the standard (x,y) coordinate plane is 4. What is the slope of a line perpendicular to that line?
- 4
Point C (1,2) and point D (7,-10) lie in the standard coordinate plane. What are the coordinates of the midpoint of
? - 5The town of Ashville has three bus stations (A, B, and C) that offer
round-trip fares to its business district at both peak and off-peak
rates. The matrices below show the average weekly sales for each station
at each rate and the costs for both rates. In an average week, what are
the combined peak and off-peak sales for Ashville's three bus stations?
