### 1.1 Solving Linear Equations

1: Introduction and Simple Equations

This video covers:

*Vocabulary words: Linear, First-Degree, Equation, Solution

*The difference between expressions and equations

*The properties of equality

*The steps to solve linear equations, including the overall goal

Examples:

1.2 Examples of Solving Linear Equations

This video covers:

*Working through all the steps of solving linear equations

*Step by step details of how to check your solution

*Showing multiple ways to solve linear equations

*Reminder that improper fractions are better than mixed fractions and/or decimals

Examples:

1.3 Basic Examples of Solving Linear Rational Equations

This video covers:

*What rational means

*Review of the steps to solving linear equations

*Review of the basic fraction operations

*Review of the process to checking solutions

Examples:

1.4 Advanced Examples of Solving a Linear Rational Equation

This video covers:

*Review of steps to solve a linear rational equation

*Review of the basic fraction operations

Examples:

1.5 Solving Linear Rational Equations by using the Magic Trick

This video covers:

*The steps to utilizing the magic trick method

*Reviewing of how to find the LCD (Least Common Denominator)

*The steps to solve rational equations by eliminating all denominators of the fractions

*Why the magic trick method is better than fraction methods

Examples:

1.6 Using the Magic Trick with Variables in the Denominator

This video covers:

*Review of why the magic trick method is better than fraction methods

*Why you must check the answers if there are variables in the denominator

*Review of the steps to using the magic trick

*Review of how the subtraction between fractions acts differently than addition

*How to handle more than one term in the individual denominators

*What happens when your solution doesn't check properly

*The difference between no solution and undefined

Examples:

1.7 Using the Magic Trick with Polynomials in the Denominator

This video covers:

*How polynomials in the denominator emphasis the first step of factoring

*Review of the steps to using the magic trick

*Review of how the subtraction between fractions acts differently than addition

*How to handle more than one term in the individual denominators

Examples: