The solution set of 5x + 9 ≥ 2(3x + 4) + 7 is shown by which of the following number line graphs?
(A)
(B)
(C)
(D)
(E)
The four midpoints of the sides of a square represent four points on a circle. Line segments connect the opposing corners of the square. This circle and these line segments divide the square into how many individual, non-overlapping regions of nonzero area?
(A) 4 (B) 5 (C) 10 (D) 12 (E) 24
Correct Answer: D
When , which of the following must be true?
(F) -12 < x < -3 (G) -3 < x < 0 (H) 0 < x < 3 (J) 3 < x < 4 (K) 4 < x
Correct Answer: G
Jasper wants to measure the altitude of his kite. He ties the kite string to a spike driven into the ground and measures the angle between the string and the ground. Then, he creates 2 similar triangles by adjusting the distance between an 8 foot pole and the spike until the angle created by a piece of string tied to the top of the pole and to the spike with the ground is the same as the angle he measured previously. The length of the string to the kite is 85 feet and the length of the string to the pole is 17 feet. Which of the following is closest to the height, in feet, that the kite is above the ground?
(A) 25
(B) 40
(C) 102
(D) 110
(E) 181
Correct Answer: B
More ACT Math Exam Questions
- 1
The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.
By 2002 there were 74,672,120 U.S. citizens who had consumed the brand-name soda. According to this information, approximately how many people were soda consumers, of the brand-name soda or other sodas, in 2002?
- 2For some real number a, the graph of y = (a + 3)x + 5 in the standard (x, y) coordinate plane passes through the point (3, 11). What is the slope of this line?
- 3
Which of the following functions has a range of f(x) ≥4?
- 4
What is the distance, in coordinate units, between the points M (1,-3) and N (-5,5) in the standard (x,y) coordinate plane?
- 5
What is the product of the solutions of the expression x2 - 5x - 14 = 0?