Learning Objectives:

__Math Tutoring on Solving Rational Equations__

Equations that contain **rational expressions** are called **rational equations.** Here are the guidelines for solving **rational equations. **

**Step 1:** We will** factor** all the **denominators.**

**Step 2:** We will determine the **least common denominator **or** LCD** and then multiply each side of the equation by the **LCD. Step 3:** We will solve the resulting equation.

**Step 4:** Then, we will check our solutions. We need to be aware that if what appears to be a solution makes a denominator equal to zero, we must exclude that value. These types of answers are called **extraneous solutions. **

**Step 5:** Lastly, we can check our solutions on the **graphing calculator.** If we type the left side of the equation in **y _{1}** and the right side of the equation in

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**Hook questions:**

*1. **What is the definition of rational equations?*

*2. **How do you solve a multi-step equation?*

*3. **What are the steps used to solve an equation with rational expressions?*

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