In the figure shown below, 
and 
are parallel and 
= 
. If 
ABC is 130° and BAF is 22°, what is the measure of AEF?
(A) 50°
(B) 118°
(C) 152°
(D) 158°
(E) 164°
What is the product of the solutions of the expression x2 - 5x - 14 = 0?
(A) -14 (B) -2 (C) 0 (D) 5 (E) 7
Correct Answer: A
In the following figure, each of the four angles in the parallelogram is as shown. What is the value of y?
(F) 30(G) 35(H) 40(J) 45(K) 50
Correct Answer: K
Avi is trying to draw a map of his most recent bike ride. He chose to place Market Street on the x-axis and Broad Street on the y-axis. He rode 60 m at an angle of 60° relative to Market Street, then rode 100 m at an angle of 45° relative to Market Street, and finally rode 35 m directly north on Broad Street. How many meters north of Market Street did Avi ride?
(A) 35
(B) 115
(C) 195
(D) 50
+ 30
(E) 35 + 50 + 30
Correct Answer: E
More ACT Math Exam Questions
- 1Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed Matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?
- 2
A circle is inscribed in a square, as shown below. If x is the distance from the center of the circle to a vertex of the square, then what is the length of the radius of the circle, in terms of x?
- 3
If G is in the interior of right angle
DEF, then which of the following could be the measure of GEF? - 4
What is the y-coordinate of the solution of the following system, presuming the system has a solution?
8x + y = 30
8x + 4y = 96 - 5
The table below lists the number (to the nearest 1,000) of book club members in the United States for 2001 through 2004. Of the following expressions with x representing the number of years after 2001, which best models the number of book club members (in thousands) in the United States?
Year Number of members (in thousands) 2001
2002
2003
2004539
542
5