For what value of x, if any, is the equation (x - 1)2 = (x - 7)2 true?
(F) -4
(G) -1
(H) 0
(J) 4
(K) There is no value of x for which the equation is true.
For the imaginary number i, which of the following is a possible value of in if n is an integer less than 5?
(A) 0 (B) -1 (C) -2 (D) -3 (E) -4
Correct Answer: B
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
Which of the following is a complete factorization of the expression 12b2c + 6bc + 3b?
(A) 4bc + 2c + 1 (B) 3b (9bc + 2c + 1) (C) 3b (4bc + 2c + 1) (D) 3b (4bc + 2c) (E) 6bc (2b + 6) + 3b
Correct Answer: C
More ACT Math Exam Questions
- 1
The employees of two factories, X and Y, are comparing their respective production records. Factory X has already produced 18,000 units and can produce 120 units per day. Factory Y has produced only 14,500 units but can produce 155 units per day. If d represents the number of days (that is, days during which each factory is producing its maximum number of units), which of the following equations could be solved to determine the number of days until X's total production equals Y's total production?
- 2
If g(x) is a transformation that moves f(x) three units to the right and then reflects it across the x-axis, then g(x) =
- 3
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V =
r 2h.
A cone-shaped paper cup has a volume of 142 cubic centimeters and a
height of 8.5 centimeters. What is the radius, to the nearest
centimeter, of the paper cup?
- 4If p and q are positive integers, and 6pq4 and 12p2q2 have a greatest common factor of 1,050, then which of the following is a possible value for the sum of p and q?
- 5
In the following figure, fis the midpoint of
. Which of the following are the coordinates of f?