Ch 19: OAE Mathematics: Systems of Equations

About This Chapter

The engaging, fun videos in this chapter, most only a few minutes in length, identify and illustrate the systems of equations concepts you can expect to be tested on for OAE Math certification. If you get stuck on any of the material in this chapter, ask our instructors for assistance.

OAE Mathematics: Systems of Equations - Chapter Summary

Use these quick, entertaining video lessons to master equations systems for your OAE Math certification assessment. This chapter demonstrates the concepts you're expected to know, such as:

  • Two-variable and three-variable linear system solutions
  • Augmented matrix construction for linear systems
  • Using determinants to solve systems of linear equations
  • How to solve systems of nonlinear equations

The short self-assessment quiz following each lesson allows you to practice the solution techniques illustrated by the lessons and determine whether any concepts require additional study. If you have any questions about the equation system solution methods outlined here, please submit them to our instructors for help.

Objectives of the OAE Mathematics: Systems of Equations Chapter

This chapter presents a number of thorough and effective resources, such as video lessons and companion transcripts, to help you master equation systems and solutions for your OAE Mathematics assessment. The five content domains covered by the exam are as follows: patterns, algebra and functions (24%); math processes and number sense (19%); geometry and measurement (19%); trig and calculus (19%); and statistics, probability and discrete mathematics (19%). The patterns, algebra and functions section is where you may find questions related to the lessons in this chapter. You'll have four and a quarter hours to work through all 150 multiple-choice questions on the computer-administered test.

7 Lessons in Chapter 19: OAE Mathematics: Systems of Equations
Test your knowledge with a 30-question chapter practice test
How to Solve a System of Linear Equations in Two Variables

1. 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

2. 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

3. 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.

How to Write an Augmented Matrix for a Linear System

4. How to Write an Augmented Matrix for a Linear System

Watch this video lesson to learn how you can turn your system of equations into matrix form. The matrix form is another way of writing your linear system that is sometimes easier to work with.

Solving Systems of Linear Equations in Two Variables Using Determinants

5. Solving Systems of Linear Equations in Two Variables Using Determinants

Watch this video lesson to learn how you can easily find the solution of a linear system in two variables by just using determinants. All you need to find the complete solution is to find three determinants.

Solving Systems of Linear Equations in Three Variables Using Determinants

6. Solving Systems of Linear Equations in Three Variables Using Determinants

Watch this video lesson to learn how to use Cramer's rule to help you find your solutions by finding just four determinants. Learn the numbers to use for your determinants.

Solving Systems of Nonlinear Equations in Two Variables

7. Solving Systems of Nonlinear Equations in Two Variables

In this lesson, we will take a look at how to solve non-linear systems of equations in two variables by exploring two solving techniques for these types of systems - graphing and substitution.

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.
Not Taken

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Other Chapters

Other chapters within the Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide course

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