For integers x and y such that xy = 14, which of the following is NOT a possible value of x?
(A) 2
(B) 1
(C) -7
(D) -8
(E) -14
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
If xy = 144, x + y = 30, and x > y, what is the value of x – y ?
(A)4 (B)6 (C)18 (D)22 (E)24
Correct Answer: C
The expression 23fg - 6f(5f +3g) is equivalent to:
(F) 5fg - 30f2 (G) 25fg (H) 3g - 7fg (J) 41fg - 30f2 (K) 30f2 - 5fg
Correct Answer: F
More ACT Math Exam Questions
- 1What is the solution set for the inequality 6 - 4(x - 2) > 4x + 5?
- 2
In the following figure, the base of the pyramid has the same area as the base of the cylinder, and the cylinder is twice the height of the pyramid. What is the ratio of the volume of the pyramid to the volume of the cylinder?
- 3
In a certain sequence of numbers, each term after the 1st term is the result of adding 2 to the previous term and multiplying that sum by 3. If the 4th term in the sequence is 186, what is the 2nd term?
- 4
Danielle's living room is a rectangle with the dimensions 16 feet by 18 feet. If she partially covers the bare floor with a circular throw rug with a diameter of 12 feet, what is the approximate area of bare floor, in square feet, that remains exposed?
(Note: Assume the rug lies completely flat and does not touch any wall.)
- 5
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?
