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Solving Absolute Value Equations

Introducing the steps to solving absolute value equations.
by

Sarah Puhr

on 21 October 2012

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Transcript of Solving Absolute Value Equations

Solving Absolute Value Equations 3 | 2x + 4 | - 6 = 18 Think FIRST! Results 2x + 4 = 12 Sketches First isolate the absolute value. If equal to a positive number, go to next step. If equal to a negative number, stop. No Solution because absolute can't be negative. What is inside of the absolute value bars could be equal to the number or it could be equal to the negative of the number. So, split into 2 different equations. Equation-1 is inside of the absolute value bars equal to the number. Equation-2 is inside of the absolute value bars equal to the negative of the number. | 2x + 4 | - 6 = 6 | 2x + 4 | = 12 2x + 4 = -12 OR 2x = 8 2x = -16 x = 4 x = -8 {4,-8} Answer: And THAT'S how you solve it! Cool! :)
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