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Which of the following is a complete factorization of the expression 12b2c + 6bc + 3b?

(A) 4bc + 2c + 1

(B) 3b (9bc + 2c + 1)

(C) 3b (4bc + 2c + 1)

(D) 3b (4bc + 2c)

(E) 6bc (2b + 6) + 3b

The Correct Answer
Explanation

A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.

The group that took the survey wants to show the data in a circle graph (pie chart). What should be the measure of the central angle of the portion for one-star reviews?

(F) 15°(G) 24°(H) 30°(J) 48°(K) 60°

Correct Answer: J

What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?

(A)15 (B) 30 (C) 60 (D) 90 (E) 180

Correct Answer: B

Evan purchased 6 boxes of sugar cookies, each box containing 10 snack bags and each bag containing 12 cookies. Evan could have purchased the same amount of cookies by buying how many family-sized packs of 30 cookies each?

(A)12 (B) 24 (C) 48 (D) 72 (E) 180

Correct Answer: B

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