Module 5: Solving Linear Equations

Writing a linear equation

As the name implies, a linear equation is an equation whose graph is a line. There are linear equations that include one variable, such as 5y + 8 = 20. There are also linear equations that include more than one variable, for example 5x - 6y = 18. Understanding how to solve these types of equations and how to use them to model real-world problems is the focus of this module.

Module Getting Started

Getting started iconThere are many properties that make it possible for you to solve a linear equation. In fact, you may have learned about many of these properties in some of your earlier math courses. Take a look at the properties listed below in the Key Vocabulary box. Create two lists: one that includes the properties you are already familiar with and another that includes any properties that are new to you. As you complete each topic, review your "new" list to see if you are able to move any properties to your other list. Make sure you are able to define every property listed below by the time you complete this module.

Key Vocabulary

Glossary Icon
To view the definitions for these key vocabulary terms, visit the course glossary.

 

Addition Property of Equality
Additive identity
Additive inverse
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
Division Property of Equality
Elimination method
Identity Property of Addition
Identity Property of Multiplication
Inverse operation
Inverse Property of Addition
Inverse Property of Multiplication
Linear equation
Literal equation
Multiplication Property of Equality
Multiplicative identity
Multiplicative inverse
Multiplicative Property of Zero
Reflexive Property
Solution to a system of linear equations
Standard Form of a linear equation
Substitution method
Substitution Property
Subtraction Property of Equality
Symmetric Property
System of linear equations
Transitive Property of Equality
Zero Product Property