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Wade is making a tile mosaic. He begins the project by laying tile at a speed of 50 pieces per hour for 3.5 hours. He is then interrupted from his work for 60 minutes. He resumes working and lays tile at a speed of 35 pieces per hour, until he has laid 280 pieces of tile total. How many hours did Wade spend working on the mosaic after he was interrupted?

(A) 2.5

(B) 3

(C) 3.5

(D) 4

(E) 4.5

The Correct Answer
Explanation

For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?

(F) b (G) b + 5 (H) 2b (J) (K) 10

Correct Answer: K

When (2x + 4)2 is written in the format ax2 + bx + c, where a, b, and c are integers, what is the value of a + b - c?



(A) -20(B) 4(C) 20(D) 32(E) 36

Correct Answer: B

Rectangle ABCD lies in the standard (x,y) coordinate plane with corners at A(4,2), B(6,-1), C(1,-4), and D(-1,-1), and is represented by the 2 × 4 matrix . ABCD is then translated, with the corners of the translated rectangle represented by the matrix . What is the value of n?

(A) 0 (B) -1 (C) -2 (D) -3 (E) -4

Correct Answer: A

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