SAT Math Multiple Choice Practice Question 584: Answer and Explanation

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Question: 584

20. If 12(10m + 8)(6m + 4)(2m) = 0, then how many different possible values of m exist?

A. One
B. Two
C. Three
D. Four
E. Five

Correct Answer: C


C Each of the three expressions in parentheses could create a value that makes the equation equal 0. Check to make sure that the three parentheses each have a distinct value for m before you bubble anything in. In the first parentheses, if 10m + 8 = 0, then 10m = –8, and m = ?. In the second parentheses, if 16m + 4 = 0, then 16m = –4, and m = ?. Check the third parentheses: If 2m = 0, then m = 0. Those are three distinct values, so C is correct.

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