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William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?

(A) $2,400

(B) $2,500

(C) $2,600

(D) $2,800

(E) $3,000

The Correct Answer
Explanation

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

The following figure shows f(x), which includes points L,M,and nplus the line segments and . Which of the following functions is equivalent to f(x)?

【kobown】

(A) f(x+ 6)(B) f(x– 6)(C) f(6 – x)(D) –f(x+ 6)(E) –f(x– 6)

Correct Answer: C

The centers of 3 identically sized circles lie on the diameter of a larger circle, as shown in the figure below. Each of the 4 circles is tangent to 2 other circles, as shown. If the circumference of each small circle is 8π inches, what is the circumference of the largest circle, in inches? image

(A)16π (B) 24π (C) 48π (D) 64π (E) 144π

Correct Answer: B

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