# Ch 3: Absolute Value

### About This Chapter

## Absolute Value - Chapter Summary

If you need to review absolute value, this chapter's video lessons can help. Our professional instructors explain how to determine a number's absolute value and also guide you through the steps needed for solving absolute value equations. In addition, you'll take a look at graphing absolute values. After you've watched all of the video lessons, you should be able to:

- Define absolute value
- Find the absolute value of a real number
- Determine the absolute value of a rational number
- Evaluate absolute value expressions
- Solve absolute value equations
- Graph absolute value equations
- Work with transformations

Our lessons include step-by-step instructions on answering absolute value problems as well as opportunities for you to gain some practice solving them. The engaging videos are usually just a few minutes long and they contain a timeline with a jump feature so you can rewatch portions while studying. Each lesson also has a transcript and a multiple-choice quiz, which you can take to test your understanding of absolute value.

### 1. What is an Absolute Value?

When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!

### 2. Finding the Absolute Value of a Real Number

You can find the absolute value of any real number. This lesson will define absolute value, explain what real numbers are and give the steps to finding the absolute value of any real number.

### 3. Finding the Absolute Value of a Rational Number

Watch this video lesson and you will learn how to deal with absolute values of simple numbers and more complex problems. Learn the order in which you should do calculations so that your answers are correct.

### 4. How to Evaluate Absolute Value Expressions

Substituting values into absolute values doesn't have to be too hard, but it can be if you're given deceiving beginning information. See if you're up to it by checking out this video!

### 5. How to Solve an Absolute Value Equation

Once you get familiar with any new operation, the next step in any algebra class is to learn how to solve equations with that operation in them. Absolute values are no different. Solve absolute value equations here!

### 6. Solving Absolute Value Practice Problems

There are many easy mistakes to make when solving absolute value equations. Learn how to avoid those mistakes here by working on examples of absolute value equations with operations on the inside and the outside of the absolute value.

### 7. 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!

### 8. 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 Accuplacer Math: Quantitative Reasoning, Algebra, and Statistics Placement Test Study Guide course

- Computation with Integers
- Negative Numbers
- Solving & Graphing Rational Numbers
- Proportions, Ratios & Averages
- Simplifying Algebraic Fractions
- Rational Roots
- Working with Exponents & Exponential Expressions
- Solving & Graphing Linear Equations
- Overview of Inequalities
- Systems of Equations & Inequalities
- Algebraic Word Problems
- Fundamental Algebraic Expressions
- Algebraic Distribution
- Writing Algebraic Expressions
- Writing & Solving One-Step Equations
- Writing & Solving Multi-Step Equations
- Probability, Chance & Fundamental Counting Techniques
- Interpreting Visual Displays of Data
- Basic Geometry Calculations
- Pythagorean Theorem
- Coordinate & Transformational Geometry
- Accuplacer Math: Quantitative Reasoning, Algebra, and Statistics Placement Test Flashcards