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Ch 34: NES Middle Grades Math: Systems of Linear Equations

About This Chapter

In this chapter, you get a thorough review of the principles behind working with systems of linear equations as you prepare for the NES Middle Grades Mathematics test. Don't forget to take the quizzes and chapter test to get some test-taking practice.

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

Here, you get a little algebra practice as you get ready for the National Evaluation Series (NES) Middle Grades Mathematics exam. Starting with a definition of systems of equations, this chapter delves into several methods of solving a system of equations. The methods our talented mathematics instructors discuss here include:

  • Solving by graphing
  • Solving by substitution
  • Solving by elimination
  • Solving linear equations in two and three variables

Your review here is centered on brief video lessons that are both instructional and entertaining. The lessons are followed by short, multiple-choice quizzes to test your understanding of the material presented. You will get several real-world examples to reinforce mathematical principles and high-quality instruction from math experts. Be sure to review the lesson transcripts and worksheets for additional study in print to prepare for the printed material on the exam.

NES Middle Grades Math: Systems of Linear Equations Objectives

The Algebra and Functions content domain of the NES Middle Grades Mathematics exam accounts for 33% of the test content (about 50 questions). The related objective is 0005, which addresses linear relations and applications. There are 150 multiple-choice questions overall, which you will be given a 4-hour, 15-minute block of time to answer. The national benchmark score of 220 on the 100-300 scale is what you need to get to pass the exam. You will be told what your score is after the exam, though your score report will not be published for a couple of weeks.

Check out the NES website for more detailed information about the test. You will also search for test centers and schedules as well as register for the exam at the NES website.

8 Lessons in Chapter 34: NES 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.
Not Taken

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Other Chapters

Other chapters within the NES Middle Grades Mathematics (203): Practice & Study Guide course

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