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Kansas State Polytechnic

0.2 Solving 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

 


 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

 


 3: Solving Quadratic Equations by Factoring (Part 1)

 

This video covers:
*Review of what a polynomial is (until 1:15)
*Review of vocabulary word: degree (until 2:00)
*Review of how to classify/name a polynomial (until 3:15)
*Review of how to solve linear equations (until 4:00)
*Why we can't solve quadratic equations using linear methods 
*Principle of zero products 
*Steps to solving quadratic and other equations by using the factoring methods  
*Standard form of a quadratic equation
*What is meant by solution set
*How many solutions you should have for any polynomial equation
*How to check your solution(s)

Examples:
Solving Equations by Factoring Example 1

 


 4: Solving Quadratic Equations by Factoring (Part 2) - Examples

This video covers:
*Review of the steps to solving quadratic and other equations by using the factoring methods

Examples:
Solving Equations by Factoring Example 2 and 3

 


 5: Solving Higher Degree Equations by Factoring (Part 3) - Examples

This video covers:
*Review of the steps to solving quadratic and other equations by using the factoring methods

Examples:
Solving Equations by Factoring Higher Degree Examples 

 



Recommended Review Videos:

*How to Simplify Radicals (Good and Bad Pie)*

*Imaginary Numbers*



 

6: Solving Quadratic Equations by the Square Root Method (Part 1)

This video covers:
*Review of the steps to solving quadratic and other equations by using the factoring methods
*Review of the principles for linear equations and principle of zero products
*Principle of square roots
*Steps to solving quadratic equations by using the square root method
*When you can and cannot use the square root method

Examples:
Solving Equations by Square Root Example 1



 7: Solving Quadratic Equations by the Square Root Method (Part 2) - Examples

This video covers:
*Review of Steps to solving quadratic equations by using the square root method

Examples:
Solving Equations by Square Root Example 2, 3, & 4