About This Chapter
Linear Equations and Inequalities - Chapter Summary and Learning Objectives
This chapter covers the fundamental algebraic principles of linear equations and inequalities. You will learn how to write and solve linear equations, as well as how to plot them on a graph. Instruction in graphing and solving inequalities is also included. The self-assessment quizzes that accompany each lesson give you the opportunity to test how well you've comprehended the material. By the end of this chapter, you should be familiar with how to:
- Identify, express, and graph linear equations
- Define what an inequality is
- Understand coefficients in the context of simultaneous linear equations
- Insert data into and discern information from line graphs
|What is a Linear Equation?||Learn how to graph linear equations.|
|How to Write a Linear Equation||Understand how to express linear equations in written form.|
|Linear Equations: Intercepts, Standard Form, and Graphing||Differentiate between various ways of solving linear equations.|
|What is an Inequality?||Know the definition of and how to graph inequalities.|
|Simultaneous Linear Equations||Understand how to solve a simultaneous linear equation. Learn what a coefficient is and know how to discern the correct answer from a table of values and constraints.|
|Extrapolation and Interpolation||Indicate how to extrapolate values with a line graph. Learn how to interpolate data.|
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. 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.
3. 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.
4. What is an Inequality?
Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!
5. 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.
6. Extrapolation & Interpolation with Line Graphs
After watching this video lesson, you should be able to interpolate and extrapolate a line graph based on just a few points. You will be able to provide data points that haven't been given to you.
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