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Kansas State Polytechnic

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:
Solving Basic Linear Equation 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:
Solving Linear Equation 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:
Solving Basic Linear Rational Equation 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:
Solving Advanced Linear Rational Equation 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:
Solving Advanced Linear Rational Equation 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:
Solving Linear Rational Equation Examples With Variables In the Denominator

 


 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:
Solving Linear Rational Equation Examples With Polynomials In the Denominator