Absolute Value EquationsOne equation, two cases — because distance works in both…9th GradeAn absolute value equation splits into twocases: the inside equals the positive value,or the negative of it.|x| = a → x = a or x = −a|x| = 5x = 5 or −5Both are 5 units from zero.|x − 3| = 7x = 10 or −4x − 3 = 7 or x − 3 = −7.|x| = −2no solutionDistance can never be negative.|2x + 1| = 9x = 4 or −5Solve both cases separately.THE COMMON MISTAKE✗ |x − 3| = 7 → x = 10 only✓ x = 10 or x = −4Both 10 and −4 are exactly 7 away from 3.Isolate the absolute value first. Only then split into cases.Absolute Value Equationswww.littleactivity.com

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Math · 9th Grade

Absolute Value Equations

One equation, two cases — because distance works in both directions.

How to use it

Split into two equations before solving anything.

Free · print-ready PDF · US Letter and A4

Grade
9th Grade
Ages
14–15
Subject
Math
Pages
1

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