What is the y-coordinate of the solution of the following system, presuming the system has a solution?
8x + y = 30
8x + 4y = 96
(F) 1
(G) 8
(H) 19
(J) 22
(K) The system has no solution.
(A) (B) (C) (D) (E)
Correct Answer: C
For all real numbers a, b, and c such that a < b and c > 0, which of the following inequalities, if any, must be true?
(A)a < c (B) b < c (C) a > c (D) b > c (E) None of the above inequalities must be true.
Correct Answer: E
If you multiply a number by 3 and then add 40, the result is the same as if you first add 17 and then multiply by 2. What is the result if you subtract 9 from the number and then multiply by 4?
(A) –60(B) –72(C) –84(D) –108(E) –124
Correct Answer: A
More ACT Math Exam Questions
- 1
The equation is true for what real value of a?
- 2
If you add up 5 consecutive odd integers that are each greater than 15, what is the smallest possible sum?
- 3
Below is the graph that a specialty automobile manufacturer uses to plot the speed tests done on his new cars. The speed is recorded in units of and is conducted for a period of 9 seconds. A certain order of 3 of the following 6 actions describes the results of the speed test depicted in the graph below. Which order is it?
I. Constant speed for 1 second
II. Constant speed for 3 seconds
III. Speed increase for 4 seconds
IV. Speed increase for 9 seconds
V. Speed decrease for 2 seconds
VI. Speed decrease for 7 seconds
- 4The expression (3x - 5)(x + 2) is equivalent to:
- 5For which of the following values of a will there be exactly one real solution to the equation 2x2 - ax + 8 = 0?