Ch 6: FTCE Math: Systems of Linear Equations

About This Chapter

Refresh your understanding of linear equations in this chapter of the FTCE Math exam study guide. Video lessons and self-assessment quizzes help you review topics including set notation and inequalities in preparation for the FTCE exam.

FTCE Math: Systems of Linear Equations - Chapter Summary

Lessons in this chapter explore systems of linear equations, including how to use systems of equations, solving equations with two unknowns, and solving problems involving systems of equations. How to solve 'and' and 'or' compound inequalities, set notation, and compound inequalities are also discussed. These lessons should help you get ready for exam questions on:

  • The definition of a system of equations
  • How to use a system of equations
  • Solving a system of equations with two unknowns
  • Solving problems involving systems of equations
  • How to solve 'and' and 'or' compound inequalities
  • Set notation, compound inequalities, and systems of inequalities

These video lessons use humor and animations to go over their subjects, and you can ask questions of the instructors if you get stuck on a topic. The short multiple-choice lesson quizzes let you assess your learning, and video tags in each lesson make it easy to review specific topics where you need more study.

6 Lessons in Chapter 6: FTCE 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.

Solving a System of Equations with Two Unknowns

3. Solving a System of Equations with Two Unknowns

When you have two variables and two equations, is solving the problem four times as hard? No! Not when you use the substitution or elimination method to solve systems of equations. We'll practice both in this lesson.

Solving Problems Involving Systems of Equations

4. Solving Problems Involving Systems of Equations

Did you ever encounter a problem where you seem to have lots of information, but still have a couple of critical numbers missing? In this lesson, we'll practice solving word problems that require us to set up systems of equations.

How to Solve 'And' & 'Or' Compound Inequalities

5. How to Solve 'And' & 'Or' Compound Inequalities

In this lesson, we will learn the difference between a conjunction and a disjunction and how to solve and graph 'and' and 'or' inequalities on the number line.

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.

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 FTCE Mathematics 6-12 (026): Practice & Study Guide course

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