If the lengths of adjacent sides of a rectangular playground have measures of 4x - 3 and 2x2 + 7 units, respectively, then which of the following expressions represents the area, in square units, of the playground?
(A)2x2 + 4x + 4
(B) 4x2 + 8x + 8
(C) 8x3 - 21
(D) 8x3 - 6x2 + 28x - 21
(E) 8x3 + 6x2 + 28x + 21
All of the following statements about rational and/or irrational numbers must be true EXCEPT:
(F) the sum of any two rational numbers is rational. (G) the product of any two rational numbers is rational. (H) the sum of any two irrational numbers is irrational. (J) the product of a rational and an irrational number may be rational or irrational. (K) the product of any two irrational numbers is irrational.
Correct Answer: K
If a(x) = b(x) + c(x), where b(x) = 3x2 - 8x + 113 and c(x) = - 3x2 + 18x + 7 and x is an integer, then a(x) is always divisible by which of the following?
(A) 6 (B) 7 (C) 10 (D) 12 (E) 15
Correct Answer: C
To this questions below, use the following graph, which provides information about the number of new clients five salespeople registered last month.
What percentage of the new clients did Yolanda register?
(F) 18%(G) 20%(H) 22%(J) 24%(K) 25%
Correct Answer: G
More ACT Math Exam Questions
- 1
The following figure shows a cylindrical tank whose diameter is 3 times the length of its height. The tank holds approximately 231.5 cubic meters of fluid. Which of the following answer choices most closely approximates the height of the tank?
- 2In the figure below, where ABC ~ XYZ, lengths are given in inches and the perimeter of ABC is 576 inches. What is the length, in inches, of ?
(Note: The symbol ~ means "is similar to.")
- 3
The expression 9(y + 3) - 2(4y - 4) is equivalent to:
- 4
If pq= 3, then p3q4+ p4q5=
- 5Each side of a given cube is a square with an area of 729 square inches. What is the volume of the cube in cubic inches?