About This Chapter
How It Works:
- Identify the lessons in the Prentice Hall Linear Functions & Graphing 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 graphing 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:
- Identification of functions
- How to find slope along with the y- and x-intercepts
- Composition of functions
- Uses of scatterplots and line graphs
- Definition of a system of equations
- How systems of equations can be solved
- Graphing linear equations
- How to graph zero slope and undefined slope
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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!
2. Graphing Basic Functions
Graphs are just like maps - when you know the language! Review how locations have x and y coordinates similar to latitude and longitude, and how to plot points in the Cartesian plane.
3. How to Find and Apply The Slope of a Line
In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.
4. 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.
5. How to Compose Functions
Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.
6. Scatterplots and Line Graphs: Definitions and Uses
After watching this video, you will be able to understand scatter plots and line graphs. You will also be able to use them to tell people a story about what you see and observe. You will also be able to read them.
7. Making Estimates and Predictions using Quantitative Data
Watch this video lesson to learn how you can read a scatter plot to learn more about a particular situation. Also learn how you can make estimates within the range of data you have and predict what may happen outside the range of data.
8. 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.
9. 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.
10. 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.
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!
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Other chapters within the Prentice Hall Pre-Algebra: Online Textbook Help course
- Prentice Hall Pre-Algebra Chapter 1: Algebraic Expressions & Integers
- Prentice Hall Pre-Algebra Chapter 2: Solving One-Step Equations & Equalities
- Prentice Hall Pre-Algebra Chapter 3: Decimals & Equations
- Prentice Hall Pre-Algebra Chapter 4: Factors, Fractions & Exponents
- Prentice Hall Pre-Algebra Chapter 5: Operation with Fractions
- Prentice Hall Pre-Algebra Chapter 6: Ratios, Proportions & Percents
- Prentice Hall Pre-Algebra Chapter 7: Solving Equations & Inequalities
- Prentice Hall Pre-Algebra Chapter 9: Spatial Thinking
- Prentice Hall Pre-Algebra Chapter 10: Area & Volume
- Prentice Hall Pre-Algebra Chapter 11: Right Triangles in Algebra
- Prentice Hall Pre-Algebra Chapter 12: Data Analysis & Probability
- Prentice Hall Pre-Algebra Chapter 13: Nonlinear Functions & Polynomials