Absolute Value Equations Worksheet
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Absolute Value Equations Worksheet
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Worked Example
Problem: Solve: |2x − 1| = 9
- Case 1: 2x − 1 = 9 → x = 5— Add 1, divide by 2.
- Case 2: 2x − 1 = −9 → x = −4— Add 1, divide by 2.
Answer: x = 5 or x = −4
Frequently Asked Questions
The expression inside can be 7 or −7, because both have absolute value 7.
If |A| = b (b ≥ 0), set A = b and A = −b. Solve both.
No solution — absolute value can never be negative.