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21 wrz 2023 · To solve an absolute value equation, such as \(|X| = p\), replace it with the two equations \(X = −p\) and \(X = p\) and then solve each as usual. Absolute value equations can have up to two solutions.
Solving Absolute Value Equations Example: 13x + 12 (the absolute value is 'isolated' already) Steps: 1) Isolate Absolute Value 2) Solve for 'Positive Answer' 3) Solve for Negative Answer' 4) Check Solutions! (Plug into original equation) 'Positive" Answer. 'Negative" Answer. Check solutions: Example. 3X 12 3x 3X + 12 3(4) + 12 24 12 24 24 12 24 ...
This topic covers: - Solving absolute value equations - Graphing absolute value functions - Solving absolute value inequalities
Intro to absolute value equations and graphs Worked example: absolute value equation with two solutions Worked example: absolute value equations with one solution
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
Solve absolute value equations quickly and easily with these simple tips and tricks. Learn how to separate + & - components and remember key points when solving absolute value equations.
1.6 Practice - Absolute Value Equations Solve each equation. 1) |x|=8 3) |b|=1 5) |5+8a|=53 7) |3k+8|=2 9) |9+7x|=30 11) |8+6m|=50 13) |6−2x|=24 15) −7|−3−3r|=−21 17) 7|−7x−3|=21 ... Answers to Absolute Value Equations 1) 8, −8 2) 7,−7 3) 1,−1 4) 2, −2
