Ch 8: Glencoe Pre-Algebra Chapter 8: Linear Functions and Graphing

About This Chapter

The Linear Functions and Graphing chapter of this Glencoe Pre-Algebra Companion Course helps students learn the essential lessons associated with functions and graphing linear equations. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Linear Functions and Graphing textbook chapter.

How It Works:

  • Identify the lessons in the Glencoe Linear Functions and Graphing chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the functions and graphing linear equations topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • Functions
  • Mathematical sequences
  • Standard form of linear equations and intercepts
  • Positive, negative, constant and average rates of change
  • Direct variation
  • How zero and undefined slope look on graphs
  • Slope-intercept form
  • Writing a linear equation
  • Linear regression and problem-solving
  • Identifying and using a system of equations

Glencoe is a registered trademark of McGraw-Hill Education, which is not affiliated with Study.com.

17 Lessons in Chapter 8: Glencoe Pre-Algebra Chapter 8: Linear Functions and Graphing
Test your knowledge with a 30-question chapter practice test
Functions: Identification, Notation & Practice Problems

1. Functions: Identification, Notation & Practice Problems

A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!

What is a Mathematical Sequence?

2. What is a Mathematical Sequence?

Math is often the most fun when it acts like a puzzle to be solved. The branch of math where this is the most true involves sequences. Get an introduction to the basics and important vocabulary, as well as learn where sequences appear in nature!

How to Find and Classify an Arithmetic Sequence

3. How to Find and Classify an Arithmetic Sequence

Arithmetic sequences are everywhere, and with a few tricks you learn here, you could end up looking like a psychic the next time you go to a movie or a football game!

What is a Linear Equation?

4. 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.

Solving Linear Equations: Practice Problems

5. 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.

Linear Equations: Intercepts, Standard Form and Graphing

6. 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.

Rate of Change vs. Negative Rate of Change

7. Rate of Change vs. Negative Rate of Change

A rate of change tells you how quickly a quantity is changing. In this lesson, learn about how rates of change are calculated and what it means for a rate of change to be negative.

Finding Constant and Average Rates

8. Finding Constant and Average Rates

Watch this video lesson to learn the differences between constant and average rates. You will learn the steps you need to take to find them and get two great visuals you can keep in mind to help you solve these rate problems.

Solving Equations of Direct Variation

9. Solving Equations of Direct Variation

In the real world, we come across a lot of problems that vary directly with each other. You will learn how to solve these types of direct variation problems in this video lesson.

What is Slope? - Definition & Formulas

10. What is Slope? - Definition & Formulas

The slope is a measure of the steepness of a line, or a section of a line, connecting two points. In this lesson, you will use several different formulas for slope and learn how those formulas relate to the steepness of a line.

Graphing Undefined Slope, Zero Slope and More

11. 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!

Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

12. Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

Being able to calculate the slope of a line is a very useful skill to have. Why? Watch this video lesson to find out and learn how to find the slope when working with various equations and various lines.

How to Write a Linear Equation

13. 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.

Simple Linear Regression: Definition, Formula & Examples

14. Simple Linear Regression: Definition, Formula & Examples

Simple linear regression is a great way to make observations and interpret data. In this lesson, you will learn to find the regression line of a set of data using a ruler and a graphing calculator.

Problem Solving Using Linear Regression: Steps & Examples

15. Problem Solving Using Linear Regression: Steps & Examples

Linear regression can be a powerful tool for predicting and interpreting information. Learn to use two common formulas for linear regression in this lesson.

What is a System of Equations?

16. 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.

How Do I Use a System of Equations?

17. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support