SAT Math Multiple Choice Practice Question 476: Answer and Explanation

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Question: 476

17. How many solutions exist to the equation |x| = |2x – 1|?

A. 0
B. 1
C. 2
D. 3
E. 4

Correct Answer: C

Explanation:

C If |x| = |2x – 1| this means that either x = 2x – 1 or –x = 2x – 1. The solutions to these equations are 1 and , respectively. However, the only thing you need to recognize is that the equation has two different solutions to establish that the answer is C.

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