About This Chapter
Linear Equations Overview - Chapter Summary
In these lessons, you'll improve your understanding of linear equations by reviewing topics like how to write a linear equation, how to use a system of equations, and more. After completing the chapter, you should be able to do the following:
- Describe linear equations, including intercepts, standard form, and graphing
- Provide abstract algebraic examples, including how to go from a graph to a rule
- Graph undefined slope and zero slope
- Write a linear equation
- Demonstrate how to use a system of equations
Our subject-matter experts teach on the topic of linear equations using engaging video lessons with plenty of examples to ensure you understand the concepts presented. The video timelines let you navigate the videos and review topics in order of your preference. A brief multiple-choice quiz is available for each lesson to test your knowledge. You can also print the lesson quizzes and use them as worksheets.
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.
2. 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.
3. 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.
4. 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!
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.
6. 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.
7. 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.
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