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
What is the slope-intercept form of the equation 3y + 2x = 24?
(A) (B) (C) 3 = 2m + b (D) m = 2b + 24 (E) y = 2x + 24
Correct Answer: A
On a sonar map in the standard (x,y) coordinate plane, the Yellow Submarine and the Sandwich Submarine are located at the points (-7,4) and (-2,6), respectively. Each unit on the map represents an actual distance of 5 nautical miles. Which of the following is closest to the distance, in nautical miles, between the two submarines?
(A) 5 (B) 19 (C) 27 (D) 30 (E) 67
Correct Answer: C
In the following figure, what is the value of yin terms of x?
(A) x+ 80(B) 80 – x(C) x+ 100(D) x– 100(E) 100 – x
Correct Answer: C
More ACT Math Exam Questions
- 1
In the following figure, sin θ=
- 2
Let f(x) = x2+ 10x+ 2. If g(x) is a transformation that moves f(x) both one unit up and one unit to the right, then g(x) =
- 3
If a, b, and c are positive prime numbers, in the equation a – b = c, either b or c must represent which number?
- 4
A function f(x) is defined as even if and only if f(x) = f(-x) for all real values of x. Which one of the following graphs represents an even function f(x)?
- 5
Cyclist A averages 80 pedal revolutions per minute, and Cyclist B averages 61 pedal revolutions per minute. At these rates, how many more minutes does Cyclist B need than Cyclist A to make 9,760 pedal revolutions?