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If a = BC, b = x, and c = yz, then AB = ?

(A)xyzx

(B) yzxy

(C) zxyz

(D) xyyz

(E) xyz

The Correct Answer

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

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