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Ch 6: Solving & Graphing Linear Equations

About This Chapter

Learn to solve and graph several types of linear equations with our video lessons. You'll find out about intercepts and standard forms by watching quick and entertaining video lessons.

Solving & Graphing Linear Equations - Chapter Summary

Let our video lessons show you what a linear equation is and how to write one. You can practice solving problems with linear equations, including equations with literal coefficients. Other lessons cover intercepts, standard form and graphing linear equations. You'll also see abstract algebraic examples and learn how to use the distributive property with linear equations.

After completing the lessons in this chapter, you should know how to:

  • Define and write a linear equation
  • Apply the distributive property to linear equations
  • Solve problems using linear equations
  • Go from a graph to a rule
  • Graph undefined slope and zero slope
  • Understand and work with parallel, perpendicular and transverse lines
  • Graph parallel and perpendicular lines in linear equations

Through our brief, engaging video lessons, you can review and get real practice in these concepts. Our instructors are professionals in the field and expert at showing you what you need to know. The quizzes that accompany each lesson let you check your knowledge and return to the lesson to review topics that require more attention. If you need extra help, the instructor is available to answer questions.

11 Lessons in Chapter 6: Solving & Graphing Linear Equations
Test your knowledge with a 30-question chapter practice test
What is a Linear Equation?

1. 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.

How to Write a Linear Equation

2. 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.

Applying the Distributive Property to Linear Equations

3. Applying the Distributive Property to Linear Equations

When it comes to linear equations, there are certain steps you have to take to solve them. One of them is the application of the distributive property when you see a pair of parentheses. Watch this video lesson to learn how.

Problem solving using Linear Equations

4. 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.

Solving Linear Equations with Literal Coefficients

5. 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.

Solving Linear Equations: Practice Problems

6. Solving Linear Equations: Practice Problems

With practice, linear equations can be straightforward to solve. In this lesson, we'll define linear equations and learn how to solve them. We'll look at multiple practice problems and walk through solving each one.

Linear Equations: Intercepts, Standard Form and Graphing

7. 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.

Abstract Algebraic Examples and Going from a Graph to a Rule

8. Abstract Algebraic Examples and Going from a Graph to a Rule

Just because you now know what a linear equation is doesn't mean that you are a master! This video will help you learn how to apply your knowledge of linear equations in more abstract algebraic ways.

Graphing Undefined Slope, Zero Slope and More

9. Graphing Undefined Slope, Zero Slope and More

There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!

Parallel, Perpendicular and Transverse Lines

10. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

Graphs of Parallel and Perpendicular Lines in Linear Equations

11. Graphs of Parallel and Perpendicular Lines in Linear Equations

When we deal with linear equations, we sometimes come across equations that are parallel to each other or perpendicular to each other. You will see what they look like when graphed in this video lesson.

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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