Ch 32: Solving Linear Equations & Inequalities

About This Chapter

Use this chapter to improve your understanding of linear equations and inequalities. Take a look at definitions and examples for each. Get to know the steps to take to work out linear equations' and inequalities' solutions and learn about their graphing and modeling.

Solving Linear Equations & Inequalities - Chapter Summary

These lessons will get you familiar with the most basic algebraic functions and how to use this knowledge in everyday life. You will examine the steps to take for problem solving and learn the order these steps must be taken to come up with the right solutions. Find out when you use a number line rather than a coordinate plane.

Learn to convert domain and range values into ordered pairs in order to build a graph. Discover how to convert survey question results into a two-way table. Other information in these lessons includes:

  • A description of a linear equation
  • How to use multiple steps when solving equations
  • Two-step linear inequalities solutions
  • Getting to know 1- and 2-variable inequality graphing
  • Multistep linear inequalities and equations solutions interpretation
  • Definition and examples of linear relationship
  • How to model a two quantities linear relationship
  • Description and use of a two-way table

A quiz that accompanies each lesson is a quick check on your comprehension of the lesson material. Use it as often as you like as part of your learning process for the information contained in this chapter.

8 Lessons in Chapter 32: Solving Linear Equations & Inequalities
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 Solve Equations with Multiple Steps

2. How to Solve Equations with Multiple Steps

In algebra, when you want to solve an equation for a particular variable, you will need to perform multiple steps that include adding, subtracting, multiplying, and dividing. Watch this video lesson to learn the order you need to do these steps.

Solving Two-Step Linear Inequalities

3. Solving Two-Step Linear Inequalities

After watching this video lesson, you will be able to solve any kind of linear inequality problem where you only have to perform two steps. You will know in what order to perform each step and you will know just what kind of operation you need to do.

How to Graph 1- and 2-Variable Inequalities

4. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

Interpreting Solutions of Multistep Linear Equations & Inequalities

5. Interpreting Solutions of Multistep Linear Equations & Inequalities

This lesson will discuss the interpretation of solutions of multi-step linear equations and inequalities, both abstractly and in a real-world context.

Linear Relationship: Definition & Examples

6. Linear Relationship: Definition & Examples

Learn how beautifully simple linear relationships are and how easy they are to identify. Discover how you can see them in use in the world around you on an everyday basis and why they are useful. At the end of the lesson, test yourself with a quiz.

Model a Linear Relationship Between Two Quantities

7. 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 Two-Way Table?

8. What is a Two-Way Table?

Do you believe in Martians? Do you watch football on television? A Two-Way Table or Contingency Table is a great way to show the results of all kinds of survey questions. In this video we will learn how to read a two-way table.

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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