# Ch 2: McDougal Littell Algebra 2 Chapter 2: Linear Equations and Functions

### About This Chapter

## How it works:

- Identify the lessons in the McDougal Littell Algebra 2 Linear Equations and Functions chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the linear equations and functions 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:

- The basics of functions
- Domain and range in a function
- Basic function graphs
- Line slopes
- Parallel and perpendicular lines and transversals
- Linear equations
- Direct and inverse variation problems
- Scatterplot and correlation
- Graphs of inequalities
- Piecewise functions
- Absolute value inequalities

*McDougal Littell Algebra 2 is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.*

### 1. What is a Function: Basics and Key Terms

Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.

### 2. What Is Domain and Range in a Function?

The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.

### 3. 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.

### 4. 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.

### 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. 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.

### 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. 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!

### 9. 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.

### 10. Direct and Inverse Variation Problems: Definition & Examples

In this lesson, you'll learn how to approach questions about direct and inverse variation with a simple explanation of what the terms mean and how to apply them to problems.

### 11. Scatterplot and Correlation: Definition, Example & Analysis

A scatterplot is used to graphically represent the relationship between two variables. Explore the relationship between scatterplots and correlations, the different types of correlations, how to interpret scatterplots, and more.

### 12. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

### 13. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

### 14. What are Piecewise Functions?

A piecewise function is a certain type of function that is made up of different parts. This lesson will define and describe piecewise functions and teach you how to identify them and how to write them.

### 15. How to Graph Piecewise Functions

Piecewise functions are specific functions that have more than one piece. There is a special trick to graphing these type of functions, which you will learn in this lesson.

### 16. How to Solve and Graph an Absolute Value Inequality

Taking two skills and combining them to make a more complicated problem is a classic tactic in mathematics. If you feel confident with absolute values and inequalities, see if you can tackle them with their powers combined here!

### 17. Solving and Graphing Absolute Value Inequalities: Practice Problems

Solving and graphing absolute value inequalities brings a lot of different skills together in one place. The practice problems in this video will give you a good chance to see more examples of absolute value inequalities but will also test your general algebraic knowledge.

### 18. How to Graph an Absolute Value and Do Transformations

Absolute value graphs normally look like the letter 'V', but transformations can change that 'V' in a number of different ways. As well as teaching you how to graph absolute values, this video will focus on a specific group of transformations called translations. Learn all about what that means here!

### 19. Graphing Absolute Value Equations: Dilations & Reflections

Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! In this lesson, you'll practice different transformations of absolute value graphs.

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### Other Chapters

Other chapters within the McDougal Littell Algebra 2: Online Textbook Help course

- McDougal Littell Algebra 2 Chapter 1: Equations and Inequalities
- McDougal Littell Algebra 2 Chapter 3: Systems of Linear Equations and Inequalities
- McDougal Littell Algebra 2 Chapter 4: Matrices and Determinants
- McDougal Littell Algebra 2 Chapter 5: Quadratic Functions
- McDougal Littell Algebra 2 Chapter 6: Polynomials and Polynomial Functions
- McDougal Littell Algebra 2 Chapter 7: Powers, Roots, and Radicals
- McDougal Littell Algebra 2 Chapter 8: Exponential and Logarithmic Functions
- McDougal Littell Algebra 2 Chapter 9: Rational Equations and Functions
- McDougal Littell Algebra 2 Chapter 10: Quadratic Relations and Conic Sections
- McDougal Littell Algebra 2 Chapter 11: Sequences and Series
- McDougal Littell Algebra 2 Chapter 12: Probability and Statistics
- McDougal Littell Algebra 2 Chapter 13: Trigonometric Ratios and Functions
- McDougal Littell Algebra 2 Chapter 14: Trigonometric Graphs, Identities, and Equations