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Ch 10: Linear Systems & Inequalities

About This Chapter

Ensure you have a comprehensive understanding of linear systems and inequalities as you study for a test or work toward course credit. Get the knowledge boost you need by watching fun video lessons and taking self-assessment quizzes from home or anywhere you can secure an Internet connection.

Linear Systems & Inequalities - Chapter Summary

This chapter's engaging video lessons make it fun to study linear systems and inequalities. Developed by top instructors, these lessons offer in-depth examinations of systems of equations, graphing inequalities and much more. Feel free to watch the lessons in their video format or scroll down to find written transcripts you can read online or print. Check your understanding of these lessons by taking multiple-choice quizzes and a practice exam. The Dashboard tracks your progress and lets you send lesson topic questions to our experts. Once you've completed this chapter, you will be able to:

  • Define a system of equations
  • Use the substitution method to solve a system of linear equations in two variables
  • Solve a system of equations by graphing
  • Explain the basics of inequalities
  • Graph 1- and 2-variable inequalities
  • Express compound inequalities using set and interval notation

7 Lessons in Chapter 10: Linear Systems & Inequalities
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 to Solve a System of Linear Equations in Two Variables

2. 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 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.

What is an Inequality?

4. What is an Inequality?

Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!

How to Graph 1- and 2-Variable Inequalities

5. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

Set Notation, Compound Inequalities, and Systems of Inequalities

6. Set Notation, Compound Inequalities, and Systems of Inequalities

In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.

Graphing Inequalities: Practice Problems

7. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

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.
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