#### Transcript of Solve Absolute Value Equations

Absolute Value Equations have two possible solutions

Example problem:

Solve for x

3 = |x+2|

One of the two Solutions

x = 1

Solve the Positive Equation

3 = |x+2|

<Drop absolute value symbol and solve for x>

<Subtract 2 from both sides> 3 - 2 = x+2 - 2

Isolate the unknown

3 = |x+2|

Once the equation has been simplified, get ready to solve for the TWO possible values of x; the positive one, and the negative one

The Other Possible Solution

x = -5

Solve the Negative Equation

<Make the equation negative by making the number in the equation negative. NOT both sides of the equation>

3 = |x+2| becomes -3 = |x+2|

<Drop absolute value symbol and solve for x>

<Subtract 2 from both sides> -3 - 2 = x+2 - 2

**Solve Absolute Value Equations**

Positive Equation

Negative Equation

x = 1

x = -5

FINAL ANSWER

x = -5 OR x = 1

Full transcript