1. Absolute Value Equations

2. Does a solution exist for the following Absolute Value Equation?
Absolute Value is the distance from zero.
Absolute Value can NOT equal a negative number.
Does a solution exist for the following Absolute Value Equation?
Yes, there is a solution.
The 3 tells us there is a solution.
No, there is not a solution.
The -5 tells us there is no solution.

3. To solve Absolute Value Equations
1. Isolate the absolute value
2. Write two equations OR

4. solve the Absolute Value EquationsOR

5. solve the Absolute Value EquationsOR

6. An absolute value can NOT equal a negative number!!!
Solve the Absolute Value Equations
NO Solution
An absolute value can NOT equal a negative number!!!

7. OR NOW…you should CHECK!!
An extraneous solution is a solution of an equation derived from an original equation that is not a solution of the original equation
You should ALWAYS check for extraneous solutions!! OR
NOW…you should CHECK!!

8. CHECK!! OR
The only solution is x=1