# Ch 8: Radical, Rational and Absolute Value Equations

### About This Chapter

## Radical, Rational and Absolute Value Equations - Chapter Summary

In these lessons on radical, rational and absolute value equations, you can improve your knowledge of how reflections are graphed across an axis, origin, and line. Our knowledgeable instructors go through practice problems and provide plenty of examples of how different equations are solved. This chapter enables you to:

- Demonstrate how to graph reflections
- Solve rational and absolute value equations
- Identify the least common denominator when solving rational equations
- List steps for solving radical equations

Learning about radical, rational and absolute value equations doesn't have to be boring or difficult. Our instructors use an easy-to-comprehend teaching style in fun video lessons to enhance your knowledge of the topics covered. A short self-assessment quiz is available for each lesson. You can also access a full written transcript for each video lesson that can be printed and used for a text-based learning option.

### 1. How to Graph Reflections Across Axes, the Origin, and Line y=x

Reflections on a graph appear as they sound literally, where a given graph is 'flipped' along to to appear in the equal opposite distance from the given line as the original. Learn the rules in how graphs are reflected across axes, the origin, and line y=x.

### 2. How to Solve a Rational Equation

Solving a rational equation involves finding the common denominator and multiplying all numbers by it, then simplifying and checking the answer. Explore rational equations and apply the steps involved to solve example problems.

### 3. Solving Rational Equations and Finding the Least Common Denominator

Solving rational equations requires finding the least common denominator. Learn what rational equations and least common denominators are, explore two methods for finding the least common denominator, and practice with examples.

### 4. Rational Equations: Practice Problems

Rational equations include fractions and a numerator and denominator with polynomials. Explore rational equation examples and practice problems and learn how to clear the fraction.

### 5. Solving Radical Equations: Steps and Examples

A radical equation is an equation in which a variable is under a radical. Learn to identify radicals, perform inverse operations, and solve radical equations through real-world examples.

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

An absolute value equation includes a variable that is an absolute value as one of the variables resulting in two solutions, the positive or negative. Learn about the methods of solving basic absolute value equations and why it is necessary to split an absolute value equation into two possible equations to solve for the variable.

### Earning College Credit

Did you know… We have over 220 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

### Other Chapters

Other chapters within the CLEP Precalculus: Study Guide & Test Prep course

- Functions
- Recognizing Functions
- Working with Exponential and Logarithmic Functions
- Piecewise and Composite Functions
- Functions as Models
- Understanding, Solving & Graphing Inequalities
- Understanding Linear and Nonlinear Equations
- Parabolas, Ellipses and Hyperbolas
- Factoring & Solving Quadratic Equations
- Exponents and Polynomials
- Geometry and Trigonometry
- Using Scientific Calculators
- Trigonometry Overview
- CLEP Precalculus Flashcards
- Additional CLEP Precalculus Flashcards