Learning Objectives:

__Solving Absolute Value Equations __

A number's **Absolute value** is its distance from zero on the number line. As we know a distance is always going to be positive, so when we transition to an **absolute value equation**, we can think of what numbers **absolute values** have. The **Absolute Value Principle** for equations is, for any **positive number c **and any** algebraic expression x:**

1. The solutions of **ꟾ****x****ꟾ**** = c,** are those numbers that satisfy **x = -c or x = c.**

2. The equation** ****ꟾ****x****ꟾ**** = 0, **is equivalent to the equation **x = 0.**

3. The equation **ꟾ****x****ꟾ**** = -c** has no solutions.

Here are the steps we are going to take to solve **absolute value of equations: **

**1. ** Isolate the **absolute value.**

**2. **Set up and solve two equations based upon the **absolute value principle.**

**3. ** Lastly we will check answers.

**Hook Questions**

*1. **What is the value of x in *

*2. **Can you solve *

*3. **What is the difference between *

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