If a = BC, b = x, and c = yz, then AB = ?
(A)xyzx
(B) yzxy
(C) zxyz
(D) xyyz
(E) xyz
During their daily training race, Carl has to stop to tie his shoes. Melissa, whose shoes are velcro, continues to run and gets 20 feet ahead of Carl. Melissa is running at a constant rate of 8 feet per second, and Carl starts running at a constant rate of 9.2 feet per second to catch up to Melissa. Which of the following equations, when solved for s, gives the number of seconds Carl will take to catch up to Melissa?
(F) 8s + 20 = 9.2s (G) 8s - 20 = 9.2s (H) (J) 8s = 20 (K) 9.2s = 20
Correct Answer: F
Which of the following correctly factors the expression 25x4 - 16y8?
(F) (25 - 16)(x2 - y4)(x2 + y4) (G) (5x2 - 4y4)(5x2 + 4y4) (H) (25x2 - y4)(x2 + 16y4) (J) (5x4 - 4y8)(5x4 + 4y8) (K) (5x4 - 8y8)(5x4 + 2y8)
Correct Answer: G
What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?
(A)15 (B) 30 (C) 60 (D) 90 (E) 180
Correct Answer: B
More ACT Math Exam Questions
- 1A basketball player has attempted 30 free throws and made 12 of them.
Starting now, if he makes every free throw attempted, what is the least number of additional free throws he must attempt to raise his free-throw percentage to at least 55%?
(Note: Free-throw percentage =
× 100.)
- 2
The graph below shows the number of people visiting a museum during the first 5 months of the year. How many people need to visit the museum during June for the mean of the first 6 months to equal the mean of the first 5 months?
- 3
The equation of a circle in the standard (x,y) coordinate plane is given by the equation (x + 5)2 + (y - 5)2 = 5. What is the center of the circle?
- 4
If a+ 2b= 2, what is the value of ?
- 5
Two girls walk home from school. Starting from school, Susan walks north 2 blocks and then west 8 blocks, while Cindy walks east 3 blocks and then south 1 block. Approximately how many blocks apart are the girls' homes?