Absolute Value Equations Worksheet

Solve absolute-value equations and report every real solution.

Math8th Grade9th Grade

Let’s practice!

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01 Solve each algebra problem.

Use exact answers: x^2 for powers, sqrt(2) for radicals and i for imaginary numbers. Separate solutions with commas.

1. Solve |x-5| = -5. Give all distinct solutions.
2. Solve |x-3| = 5. Give all distinct solutions.
3. Solve |x+0| = 2. Give all distinct solutions.
4. Solve |x-5| = 2. Give all distinct solutions.
5. Solve |x+3| = 5. Give all distinct solutions.
6. Solve |x+1| = 4. Give all distinct solutions.