Copyright

Ch 28: GACE Middle Grades Math: Systems of Linear Equations

About This Chapter

Decipher the rules for linear equation systems as you study for the GACE Middle Grades Mathematics assessment. Recall how to solve these types of problems by going through our video lessons and practicing with sample questions on the lesson quizzes.

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

There are many ways to solve different systems of equations, and we want to help you remember each of those methods, which is why our instructors have created these engaging video lessons. This chapter will guide you through the process, so that you are better prepared for the questions on the GACE Middle Grades Mathematics assessment. After you finish these lessons, you should feel more certain about the following:

  • Linear equations with two or more variables
  • Substitution
  • Linear systems with solutions
  • Graphing
  • Linear systems with infinite or no solutions
  • Elimination

As you watch the video lessons, you can hit re-play as much as you need, and you can pause the lessons if you want to take notes or practice what you're learning. The value of our convenient study materials can be measured in how well they prepare you to take the GACE Middle Grades Mathematics assessment. That's why we make sure to offer the chapter exam and lesson quizzes, letting you verify your level of comprehension.

8 Lessons in Chapter 28: GACE 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.
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 160 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 GACE Middle Grades Mathematics (013): Practice & Study Guide course

Support