About This Chapter
How It Works:
- Identify the lessons in the Glencoe Linear Functions and Systems of Equations chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the linear functions and systems of 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:
- How to calculate average and constant rates
- The definition and formulas for slope
- How undefined slope and zero slope are graphed
- How to compare nonproportional and proportional relationships
- How to solve equations of direct variation
- How to determine the slope of a line
- How to find a line's intercepts
- What a system of equations is
- How to use a system of equations
- Methods for solving systems of equations
Glencoe is a registered trademark of McGraw-Hill Education, which is not affiliated with Study.com.
1. 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.
2. 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.
3. 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!
4. 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.
5. 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.
6. How to Find and Apply the Intercepts of a Line
How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.
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. Solving Problems Involving Systems of Equations
Did you ever encounter a problem where you seem to have lots of information, but still have a couple of critical numbers missing? In this lesson, we'll practice solving word problems that require us to set up systems of equations.
10. Solving a System of Equations with Two Unknowns
When you have two variables and two equations, is solving the problem four times as hard? No! Not when you use the substitution or elimination method to solve systems of equations. We'll practice both in this lesson.
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Other chapters within the Glencoe Math Connects: Online Textbook Help course
- Glencoe Math Connects Chapter 1: Rational Numbers and Percent
- Glencoe Math Connects Chapter 2: Real Numbers and Monomials
- Glencoe Math Connects Chapter 3: Equations and Inequalities
- Glencoe Math Connects Chapter 4: Multi-Step Equations and Inequalities
- Glencoe Math Connects Chapter 5: Expressions and Functions
- Glencoe Math Connects Chapter 7: Two- and Three-Dimensional Geometry
- Glencoe Math Connects Chapter 8: Triangles and Transformations
- Glencoe Math Connects Chapter 9: Units of Measure
- Glencoe Math Connects Chapter 10: Data Analysis and Statistics
- Glencoe Math Connects Chapter 11: Probability and Combinations
- Glencoe Math Connects Chapter 12: Area and Volume