Copyright

Ch 19: ORELA Math: Systems of Equations

About This Chapter

The ORELA Math test for teacher certification has been replaced by the National Evaluation Series (NES) test in Oregon. This chapter's video lessons look at techniques for solving systems of equations. Review the lessons in preparation for the test.

ORELA Math: Systems of Equations - Chapter Summary

As you watch the video lessons in this chapter, you can re-learn rules and strategies for comparing and graphing multiple equations. Explore methods for finding the determinants of variables as you get ready to pass the ORELA Math examination. Study the lessons for assistance with:

  • Solving linear systems in two and three variables using determinants
  • Solving linear systems in two or three variables with solutions, no solutions or infinite solutions
  • Solving nonlinear equations in two variables
  • Transforming a system of equations into a matrix
  • Solving equations with Cramer's rule

Utilize these short instructor-led video lessons as you prepare to sit for the ORELA Math examination. You'll be allowed to study at any time and to ask questions of the instructors. The lessons include written transcripts as well as quizzes that test your knowledge.

7 Lessons in Chapter 19: ORELA 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.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the ORELA Mathematics: Practice & Study Guide course

Support