Ch 18: Honors Algebra 1: Linear Equations

About This Chapter

The objective of this chapter is to help you learn what a linear equation is, the properties of linear equations, how to solve linear equations, how to graph linear equations and how to solve systems of equations. Our short video lessons, quizzes and other study aids will show you what you need to know.

Honors Algebra 1: Linear Equations - Chapter Summary and Learning Objectives

Watch our professional instructors in these lesson videos to review the properties of linear equations, what linear equations represent, processes of solving linear equations, graphing linear equations and the processes of solving systems of equations. These lesson videos have been assembled specifically to teach you:

  • What linear equations are
  • Properties of linear equations and how to find them
  • How to solve and graph linear equations
  • What systems of equations are
  • How to solve and use systems of equations

Video Objective
What is a Linear Equation? Learn what a linear equation is and how it is used.
Applying the Distributive Property to Linear Equations Use the distributive property to simplify linear equations.
Linear Equations: Intercepts, Standard Form and Graphing Review the processes of simplifying and graphing linear equations.
Abstract Algebraic Examples and Going from a Graph to a Rule Apply the concept of linear equations to more abstract algebraic concepts.
Graphing Undefined Slope, Zero Slope and More Graph horizontal and vertical lines.
Parallel, Perpendicular and Transverse Lines Learn about the properties of parallel and perpendicular lines.
Graphs of Parallel and Perpendicular Lines in Linear Equations Identify and graph linear equations for parallel and perpendicular lines.
How to Write a Linear Equation Analyze graphs to come up with linear equations.
What is a System of Equations? Learn what systems of equations are and how to solve them.
How Do I Use a System of Equations? Review examples of uses for systems of equations.
Solving Simultaneous Linear Equations Use Gaussian elimination to solve simultaneous linear equations.

11 Lessons in Chapter 18: Honors Algebra 1: Linear Equations
Test your knowledge with a 30-question chapter practice test
What is a Linear Equation?

1. What is a Linear Equation?

Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.

Applying the Distributive Property to Linear Equations

2. Applying the Distributive Property to Linear Equations

When it comes to linear equations, there are certain steps you have to take to solve them. One of them is the application of the distributive property when you see a pair of parentheses. Watch this video lesson to learn how.

Linear Equations: Intercepts, Standard Form and Graphing

3. Linear Equations: Intercepts, Standard Form and Graphing

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

Abstract Algebraic Examples and Going from a Graph to a Rule

4. Abstract Algebraic Examples and Going from a Graph to a Rule

Just because you now know what a linear equation is doesn't mean that you are a master! This video will help you learn how to apply your knowledge of linear equations in more abstract algebraic ways.

Graphing Undefined Slope, Zero Slope and More

5. Graphing Undefined Slope, Zero Slope and More

There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!

Parallel, Perpendicular and Transverse Lines

6. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

Graphs of Parallel and Perpendicular Lines in Linear Equations

7. Graphs of Parallel and Perpendicular Lines in Linear Equations

When we deal with linear equations, we sometimes come across equations that are parallel to each other or perpendicular to each other. You will see what they look like when graphed in this video lesson.

How to Write a Linear Equation

8. How to Write a Linear Equation

Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.

What is a System of Equations?

9. What is a System of Equations?

So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.

How Do I Use a System of Equations?

10. How Do I Use a System of Equations?

There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.

Solving Simultaneous Linear Equations

11. Solving Simultaneous Linear Equations

In this video lesson, you will learn how to solve simultaneous linear equations or a system of linear equations. Learn the steps you need to take to solve any such system using the Gaussian elimination method.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the Honors Algebra 1 Textbook course

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