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13.3 Solving Absolute Value Equations 

13.3

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13.3 Solving Absolute Value Equations 

How To Solve & Graph Absolute Value Equations

1. Isolate the absolute value expression.

2. Rewrite as two equations, (- and +)

3. Solve both equations.

4. Plot the point on the number line.

Steps:

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13.3 Solving Absolute Value Equations 

Solve the equation and Graph the solutions on the number line.

2 (2)

Rewrite as two equations.

x + 4 = 12 or x + 4 = 12-4 -4 -4 -4

x = 16 or x = 8

Plot the point on the number line.

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13.3 Solving Absolute Value Equations 

Solve & Graph

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13.3 Solving Absolute Value Equations 

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13.3 Solving Absolute Value Equations 

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13.3 Solving Absolute Value Equations 

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13.3 Solving Absolute Value Equations 

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13.3 Solving Absolute Value Equations 

| absolute | = Negative(-1)

| absolute | = 0

| absolute | = Positive (+)

None

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13.3 Solving Absolute Value Equations 

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13.3 Solving Absolute Value Equations 

Solve the absolute-value equation |2(x + 3) 2| + 5 = 7. If a solution is not an

integer, give it in fraction form.

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13.3 Solving Absolute Value Equations 

This absolute value equation has nested absolute values.