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Ch 2: Linear Equations & Systems

About This Chapter

The Linear Equations & Systems chapter of this Linear Algebra: Help & Tutorials course is the simplest way to master linear equations & systems. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure you learn the essentials of linear equations & systems.

Who's It For?

Anyone who needs help learning or mastering linear equations & systems will benefit from the lessons in this chapter. There is no faster or easier way to learn about linear equations & systems. Among those who would benefit are:

  • Students who have fallen behind in understanding how to work with linear equations & systems
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about linear equations & systems
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How It Works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Linear Equations & Systems chapter exam.

Why It Works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Linear Equations & Systems chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any question related to linear equations & systems. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students Will Review:

This chapter helps students review the concepts in a linear equations & systems unit of a standard linear algebra course. Topics covered include:

  • Graphs and standard form of linear equations
  • How to work with and apply a system of equations
  • Understanding distributive property
  • Techniques for finding the solution to linear equations with literal coefficients
  • Writing a linear equation
  • How to solve a simultaneous linear equation

10 Lessons in Chapter 2: Linear Equations & Systems
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.

Solving Linear Equations with Literal Coefficients

4. 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

5. 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

6. 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.

What is a System of Equations?

7. 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?

8. 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 Problems Involving Systems of Equations

9. 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.

Solving Simultaneous Linear Equations

10. Solving Simultaneous Linear Equations

In this video lesson, you will learn how to solve simultaneous linear equations or a system of linear equations. Learn the steps you need to take to solve any such system using the Gaussian elimination method.

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

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