# Ch 8: ASSET Elementary Algebra: Linear Equations

### About This Chapter

## ASSET Elementary Algebra: Linear Equations - Chapter Summary

If you look at the material from each lesson in this chapter, you can pick up important skills for graphing linear equations. Go over them as you get ready for the ASSET Elementary Algebra exam. You will be able to review the following topics:

- System of equations
- Examples of abstract algebra
- Zero slope and undefined slope
- Writing linear equations
- The definition of a linear equation
- Graphing linear equations
- Ways to use systems of equations
- Solving systems of linear equations with two or three variables
- Methods for creating equivalent linear equations

The lessons in this chapter were designed to help you understand different aspects of linear equations, which are going to be addressed on the ASSET Elementary Algebra exam.

### ASSET Elementary Algebra: Linear Equations Objectives

The ASSET Elementary Algebra exam is geared towards helping you assess your knowledge of algebra-related problems to see if you are ready to be placed into a postsecondary institution. All of the topics addressed in the Linear Equations chapter are part of the intermediate algebra section of the exam, which makes up 16% of the entire test. Working through the lessons in this chapter, you will be better able to answer multiple-choice questions that are going to be on the actual exam.

### 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. Creating Equivalent Linear Equations

In this lesson, we will review linear and equivalent equations. We will then learn how to create equivalent linear equations. At the end of the lesson, you will be able to test your knowledge with a quiz.

### 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.

### 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.

### 9. How to Solve a System of Linear Equations in Two Variables

Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.

### 10. How to Solve a Linear System in Three Variables With a Solution

After watching this video lesson, you will be able to solve a linear system in three variables using the elimination method. Learn the simple operations that are needed to solve your system.

### 11. How to Solve a Linear System in Three Variables With No or Infinite Solutions

In this video lesson, you will learn to recognize when a linear system has no solution or an infinite number of solutions. You will also learn how to go about solving each of these types of systems.

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### Other Chapters

Other chapters within the ASSET Elementary Algebra Test: Practice & Study Guide course

- ASSET Elementary Algebra: Algebraic Expressions
- ASSET Elementary Algebra: Solving Quadratic Equations
- ASSET Elementary Algebra: Polynomial Operations
- ASSET Elementary Algebra: Factoring Polynomials
- ASSET Elementary Algebra: Integers
- ASSET Elementary Algebra: Integer Exponents
- ASSET Elementary Algebra: Rational Expressions
- ASSET Elementary Algebra Test Flashcards