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Problem 19 - Entrance Test

What is the sum of the solutions to the equation |2x - 3| = 5?

Correct: C

The equation |2x - 3| = 5 means 2x - 3 = 5 or 2x - 3 = -5. If 2x - 3 = 5, then 2x = 8, so x = 4. If 2x - 3 = -5, then 2x = -2, so x = -1. The sum of the solutions is 4 + (-1) = 3.