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Ch 19: AEPA Math: Systems of Equations

About This Chapter

Arizona has replaced the AEPA Math examination with the National Evaluation Series Math examination. Review the steps for solving systems of equations in this chapter's online video lessons. Apply what you know when you're taking the examination.

AEPA Math: Systems of Equations - Chapter Summary

Use the video lessons in this chapter to reinforce what you've learned about graphing and setting up a system of equations. While preparing to pass the AEPA Math examination, you might review Cramer's rule as well as the process of finding determinants. This chapter's lessons can help you with:

  • Using the substitution and elimination methods to solve linear systems of equations
  • Writing linear equations in matrix form
  • Using determinants to solve linear systems in two or three variables
  • Solving systems of nonlinear equations

The concepts in these animated video lessons are explained by knowledgeable educators. As you prepare for the AEPA Math examination, you can re-watch parts of the lessons using video tags or utilize the corresponding text transcripts. Submit your questions to the instructors and take the helpful self-assessment quizzes to test your grasp of the material.

7 Lessons in Chapter 19: AEPA Math: 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 AEPA Mathematics (NT304): Practice & Study Guide course

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