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Triangle XYZ is an equilateral triangle. YW‾ \overline{\rm YW} YW is an altitude of the triangle. If XY‾ \overline{\rm XY} XY is 10 in., what is the length of the altitude?

(A)5 in.

(B)5 √3 in.

(C)10 in.

(D)10 √3 in.

(E)5√2 in.

The Correct Answer
Explanation

For what values of x will the equation (x + a)(x – a) = 0 be true?

(A) a and x (B)–a and –x (C) x and 0 (D)–a and a (E)none of the above

Correct Answer: D

If 2x + 3y = 55 and 4x = y + 47, find x y

(A) 6 (B) 12 (C) 24 (D) 28 (E) 32

Correct Answer: B

Given |x - 3| > x - 3, what is the solution set for the inequality?

(A)x > 3 (B) x < 3 (C) x > 0 (D) x < 0 (E) All real numbers

Correct Answer: B

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