# Ch 8: Working with Linear Equations in Math

### About This Chapter

## Working with Linear Equations in Math - Chapter Summary

You can study how to work with linear equations in math when you review this chapter. Some of the topics covered include the definition of linear equations, how they're written and how to solve math problems that include them. Don't be nervous about challenging topics when you have help from our user-friendly learning materials. We've also provided a quiz with each lesson so you can ensure you've fully understood what you've learned. If you still have questions, submit them to an instructor through the Dashboard. Once you complete this chapter, you should be able to:

- Apply the distributive property to linear equations
- Use linear equations to solve problems
- Solve linear equations with literal coefficients
- Answer practice problems about linear equations
- Discuss standard form and intercepts
- Define abstract algebraic examples
- Graph zero slope and undefined slope
- Outline perpendicular, transverse and parallel lines
- Identify the graphs or perpendicular and parallel lines in linear equations

### 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. 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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!

### 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.

### 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.

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### Other Chapters

Other chapters within the Math 99: Essentials of Algebra and Statistics course

- Problem Solving & Math Models
- Integers & Exponents in Math
- Working With Rational Numbers
- Using Mathematical Operations
- Unit Conversion & Measurement
- Understanding Proportions, Ratios & Averages
- Basic Equations & Expressions
- Understanding Inequalities
- Solving Systems of Equations in Math
- Working with Functions
- Sequences in Math
- Transformations in Math
- Points, Lines & Angles
- Triangles & Their Properties
- Measuring Perimeter, Area & Volume
- Congruency in Math
- Probability Basics
- Statistics in Daily Life
- Basics of Graphs & Charts
- Working with Data Sets in Math
- Studying for Math 99