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Ch 29: 6th-8th Grade Algebra: Systems of Linear Equations

About This Chapter

The amusing video lessons in this chapter on systems of linear equations teach 6th-8th graders how to use known and unknown variables to find solutions to mathematical problems. Test your students by having them take lesson quizzes.

Systems of Linear Equations - Chapter Summary

Use the video lessons in this chapter to help your elementary and middle school students learn more about graphing a system of equations. Each lesson is presented through a short and amusing video which discusses a topics like solving equations through the process of substitution, elimination, and graphing. Furthermore, students can apply their math skills to real-world problems as they learn to write sample equations. You are sure to find the lesson transcripts useful for addressing key topics, and you can discover how much your elementary and middle school students have learned by having them complete the multiple-choice quizzes at the end of every lesson.

Chapter Lessons and Objectives

Lesson Objectives
What is a System of Equations? Go over a system of equations and see where they are found found in everyday life, discover how to graph these equations, and practice graphing intersection points.
How Do I Use a System of Equations? Apply the substitution method to problems, and translate stories into solvable equations.
How to Solve a System of Equations by Graphing Describe how to use graphing to find the answer for a system of equations.
How to Solve a System of Equations by Substitution Establish the steps for using substitution to find the solution to a system of equations.
How to Solve a System of Equations by Elimination Point out techniques for solving a system of equations through the use of elimination.
How to Solve a System of Linear Equations in Two Variables Within two variables, go over the process of solving a linear system.
How to Solve a Linear System in Three Variables With a Solution Find a solution to a linear system within three variables.
How to Solve a Linear System in Three Variables With No or Infinite Solutions Given an infinite amount of solutions or no solutions, show how to find the answer for a linear system in three variables.

8 Lessons in Chapter 29: 6th-8th Grade Algebra: Systems of Linear Equations
What is a System of Equations?

1. 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?

2. 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.

How to Solve a System of Equations by Graphing

3. How to Solve a System of Equations by Graphing

Watch this video lesson to learn how you can solve a system of equations by graphing. Learn when you have a solution and when you don't. Also learn how easy the solution is to spot.

How to Solve a System of Equations by Substitution

4. How to Solve a System of Equations by Substitution

Watch this video lesson to learn how you can solve a system of equations by using the substitution method. Learn the key to using the substitution method and take a quiz to practice your new skills.

How to Solve a System of Equations by Elimination

5. How to Solve a System of Equations by Elimination

After watching this video lesson, you will have learned how to solve a system of equations by using the elimination method. You will learn what is being eliminated and how to do it so that you end with your solution.

How to Solve a System of Linear Equations in Two Variables

6. How to Solve a System of Linear Equations in Two Variables

Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.

How to Solve a Linear System in Three Variables With a Solution

7. How to Solve a Linear System in Three Variables With a Solution

After watching this video lesson, you will be able to solve a linear system in three variables using the elimination method. Learn the simple operations that are needed to solve your system.

How to Solve a Linear System in Three Variables With No or Infinite Solutions

8. How to Solve a Linear System in Three Variables With No or Infinite Solutions

In this video lesson, you will learn to recognize when a linear system has no solution or an infinite number of solutions. You will also learn how to go about solving each of these types of systems.

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Other Chapters

Other chapters within the 6th-8th Grade Math: Practice & Review course

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