## The trapezoid below is divided into 2 triangles and 1 rectangle. Lengths are given in centimeters. What is the combined area, in square centimeters, of the 2 shaded triangles?

(A)18

(B) 12

(C) 9

(D) 6

(E) 4

The ratio of three sides of a triangle is 16:19:28. If the length of the short side of a similar triangle is 20, what is the length of the longest side of the similar triangle?

(A)29 (B)31 (C)32 (D)33 (E)35

**Correct Answer: E**

The number of fish, p, a small pond can sustain varies inversely with the square root of the amount of predators, q, in the pond. If a pond with 49 predators can sustain a population of 800 fish, how many fish could a pond with 100 predators sustain?

（A）560 （B） 600 （C） 650 （D） 1,600 （E） 2,000

**Correct Answer: A**

Which of the following expressions represents the product xy, if x = 4a^{3} and y = -3a^{5} + b?

（A）a^{3} + b
（B） a^{5} + b
（C） -12a^{8} + 4a^{3}b
（D） -12a^{15} + 4a^{3}b
（E） -243a^{15} + 4a^{3}b

**Correct Answer: C**

### More ACT Math Exam Questions

- 1
What is the value of 4 + 3

^{x}^{–}^{y}when*x*= 3 and*y*= -1? - 2If x = -3 and y = 2, then x
^{3}y + xy^{3}= ? - 3Which of the following is (are) equivalent to the mathematical operation a(b - c) for all real numbers a, b, and c? I. ca - ba II. ab - ac III. (b - c)a
- 4A line in the standard (x, y) coordinate plane has a slope of and passes through points (3,4) and (t,-2). What is the value of t?
- 5
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.)