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The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?


(A)l = w + 3

(B)w + 3

(C)w – 3

(D)2w + 3

(E)2w – 3

The Correct Answer
Explanation

Which of the following ranges of consecutive integers contains the value of the expression ?

(A) 0 and 1 (B) 1 and 2 (C) 2 and 3 (D) 5 and 6 (E) 7 and 8

Correct Answer: C

In isosceles triangle ABC below, the measures of BAC and BCA are equal and . The diagonals of trapezoid DECA intersect at F. The lengths of and are 6 centimeters, the length of is 9 centimeters, and the length of is 27 centimeters. What is the length, in centimeters, of ?

(A) 12 (B) 15 (C) 18 (D) 33 (E) 36

Correct Answer: C

An integer, x, is subtracted from 6. That difference is then multiplied by 3. This product is 15 more than half the original integer. Which of the following equations represents this relationship?

(F) 3(6 - x) = + 15(G) 3(6 - x) + 15 = (H) 3(6 - x) = 15 - (J) x - 6 × 3 = (K) 6 + 3 = + 15

Correct Answer: F

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