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Mastering Absolute Value Equations: Find the Solutions for x

Understand how to solve absolute value equations with dual solutions. Learn to isolate and determine '+/-' options. Check your answers by plugging them in.

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Mastering Absolute Value Equations: Find the Solutions for x

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  1. Solving Absolute Value Equations

  2. What could x be? Solution x=8 or -8 Absolute Value equations have two possible solutions

  3. Isolate the absolute value bars on one side • Then drop the bars and set up the problem twice • once set equal to the + option • once set equal to the - option

  4. Ex. 1: Case 1 Case 2 or x=7 or -3

  5. Plug in answer to Check:

  6. Ex. 2: Isolate the absolute value bars first Then drop the bars and set up the problem twice for + / - options Work continued 

  7. Case 1 Case 2 or

  8. Ex. 3: Isolate the absolute value bars first Work continued 

  9. Ex. 3: Then drop the bars and set up the problem twice for + / - options or

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