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Six equilateral triangles form the figure below. If the perimeter of each individual triangle is 15 inches, what is the perimeter of ABCDEF, in inches?

(A)18

(B) 30

(C) 60

(D) 54

(E) 90

The employees of two factories, X and Y, are comparing their respective production records. Factory X has already produced 18,000 units and can produce 120 units per day. Factory Y has produced only 14,500 units but can produce 155 units per day. If d represents the number of days (that is, days during which each factory is producing its maximum number of units), which of the following equations could be solved to determine the number of days until X's total production equals Y's total production?

(A) 18,000 + 120d = 14,500 + 155d(B) 18,000 + 155d = 14,500 + 120d(C) (18,000 + 120)d = (14,500 + 155)d(D) (120 + 155)d = 18,000 - 14,500(E) (120 + 155)d = 18,000 + 14,500

Correct Answer: A

In the figure below, M is on and Q is on The measurements are given in feet. Both NPQM and MQRL are trapezoids. The area, A, of a trapezoid is given by A = h(b₁ + b₂), where h is the height and b₁ and b₂ are the lengths of the 2 parallel sides.

9.

What is the area of MQRL, in square feet?

(A) 3,200 (B) 1,750 (C) 1,600 (D) 600 (E) 500

Correct Answer: C

If f(x) = 4x2– 5x– 5 and g(x) = 2x– 4, what is the value of ?

(A) 1(B) 2(C) (D) (E)

Correct Answer: C