Ch 27: MTEL Mathematics (Elementary): Properties of Linear Relations

About This Chapter

Learn about coordinate geometry in this chapter of the MTEL Elementary Mathematics exam study guide. Video lessons and self-assessment quizzes teach you all you need to know about mathematics in preparation for the MTEL exam.

MTEL Elementary Mathematics: Properties of Linear Relationships - Chapter Summary

This chapter introduces linear relationships and their properties. The lessons in this chapter cover direct and inverse variation problems, intercepts, and how to write linear equations. Literal coefficients, systems of equations, and set notation are all introduced throughout these lessons. By the end of this chapter, you should be familiar with:

  • Modeling a linear relationship between two quantities
  • Direct and inverse variation problems
  • Linear equations
  • Solving a system of equations with two unknowns
  • Solving problems involving systems of equations
  • Set notation, compound inequalities, and systems of inequalities

Transcripts with important terms in bold type accompany each video lesson. You can review the subjects you need to study the most by using the jump feature under the timeline tab. This feature allows you to skip directly to main subjects within the videos. To ensure you understand what you've learned, end each lesson with a self-assessment quiz.

12 Lessons in Chapter 27: MTEL Mathematics (Elementary): Properties of Linear Relations
Test your knowledge with a 30-question chapter practice test
Model a Linear Relationship Between Two Quantities

1. Model a Linear Relationship Between Two Quantities

In this lesson, we will learn about modeling linear relationships by converting domain and range values into ordered pairs and then constructing a graph.

What is a Linear Equation?

2. What is a Linear Equation?

Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.

Direct and Inverse Variation Problems: Definition & Examples

3. Direct and Inverse Variation Problems: Definition & Examples

In this lesson, you'll learn how to approach questions about direct and inverse variation with a simple explanation of what the terms mean and how to apply them to problems.

Linear Equations: Intercepts, Standard Form and Graphing

4. Linear Equations: Intercepts, Standard Form and Graphing

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

How to Write a Linear Equation

5. How to Write a Linear Equation

Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.

Solving Linear Equations with Literal Coefficients

6. Solving Linear Equations with Literal Coefficients

In this lesson, we'll literally learn about literal coefficients. We'll look at how to solve linear equations that contain literal coefficients and practice solving several problems.

Problem solving using Linear Equations

7. Problem solving using Linear Equations

From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.

What is a System of Equations?

8. 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?

9. 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

10. 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

11. 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.

Set Notation, Compound Inequalities, and Systems of Inequalities

12. 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 MTEL Mathematics (Elementary) (53): Practice & Study Guide course

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