Ch 31: OAE Middle Grades Math: Systems of Linear Equations

About This Chapter

Prepare to successfully answer systems of linear equations questions found on the OAE Middle Grades Math exam. Video lessons and quizzes cover methods for solving linear systems using the substitution and elimination methods as well as by graphing.

OAE Middle Grades Math: Systems of Linear Equations - Chapter Summary

Take another look at methods for graphing, setting up and solving systems of linear equations with this chapter's video lessons. We'll help you prepare for functions questions on the OAE Middle Grades Math exam with lessons reviewing how to:

  • Use graphing to solve a linear system
  • Solve a linear system with the substitution method
  • Use elimination to solve a linear system
  • Solve a linear system in two or three variables

This chapter's video lessons are taught by experienced instructors who provide you with a quick review of the linear equations topics covered on the actual test. Transcripts highlighting key terms are also available, along with multiple-choice quizzes that allow you to check your understanding of these topics.

OAE Middle Grades Math: Systems of Linear Equations Chapter Objectives

If you're getting ready to apply for a middle grades math teaching license in Ohio, use the lessons in this chapter to prepare for Algebra and Functions questions asking you to solve systems of linear equations and inequalities. This content domain makes up around 33% of the OAE Middle Grades Math exam's 150 multiple-choice questions.

8 Lessons in Chapter 31: OAE Middle Grades Math: Systems of Linear Equations
Test your knowledge with a 30-question chapter practice test
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.

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 Ohio Assessments for Educators - Middle Grades Mathematics (030): Practice & Study Guide course

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