SAT Math Multiple Choice Question 19: Answer and Explanation

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Test Information

Question: 19

5. How many solutions exist to the equation |x| = |2x - 1| ?

  • A. 0
  • B. 1
  • C. 2
  • D. 3

Correct Answer: C

Explanation:

C If |x| = |2x - 1|, 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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