# Ch 16: Working with Rational Expressions

### About This Chapter

## 2014 GED Mathematical Reasoning Exam: Working with Rational Expressions - Chapter Summary

Practice performing a variety of operations with rational expressions through this chapter. Lessons contain several practice problems that allow you to solve and simplify complex rational expressions. After you finish the chapter, you'll be prepped to sign up for the 2014 GED Mathematical Reasoning exam. Lesson topics include:

- Multiplication and division of rational expressions
- Addition and subtraction of rational expressions
- Reciprocals of rational expressions
- Complex rational expressions
- Direct and inverse variation

This chapter on rational expressions includes both examples and practice problems on the topic. Each lesson contains short, easy-to-understand videos, along with self-assessment quizzes to gauge your understanding. The sample equations and expressions resemble actual problems you may encounter on the 2014 GED Mathematical Reasoning exam.

### 2014 GED Mathematical Reasoning Exam Objectives

The new and updated 2014 GED exam is completely computer based and now follows the Common Core State Standards. The exam seeks to determine your knowledge of typical high school academic standards in four subject areas that include mathematical reasoning. The mathematical reasoning test devotes 55% of the content to algebraic problem solving, which includes rational equations. These lessons go over problems you may find on the actual 2014 GED Mathematical Reasoning exam. The chapter objectives include:

- Multiplying and dividing rational expressions
- Adding and subtracting rational expressions
- Finding the reciprocal of rational expressions
- Simplifying complex rational expressions
- Finding equations of direct and indirect variation

You must complete the 2014 GED Mathematical Reasoning exam within 90 minutes. The test is composed of multiple choice, fill-in-the-blank, hot spot and drag-and-drop questions. The mathematical reasoning exam is divided into an initial section that prohibits the use of calculators, followed by a longer second section that allows calculators.

### 1. Multiplying and Dividing Rational Expressions: Practice Problems

Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.

### 2. Practice Adding and Subtracting Rational Expressions

Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!

### 3. Rational Equations: Practice Problems

Mario and Bill own a local carwash and have several complex tasks that they must use rational equations to solve for an answer. Enjoy learning how they solve these equations to help them with some of their day-to-day tasks.

### 4. Division and Reciprocals of Rational Expressions

In this video lesson, you will learn how to divide and take the reciprocal of any rational expression. Learn the one easy step you take to be able to find your answer quickly and easily.

### 5. Simplifying Complex Rational Expressions

When it comes to fractions, things may seem to get really complicated and scary when you have a fraction on top of a fraction. But never fear, after watching this video lesson, you will be able to simplify these expressions like a pro.

### 6. 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.

### 7. Solving Equations of Inverse Variation

After watching this video lesson, you will be able to identify problems where you can use the formula for inverse variation to solve them. Learn what is involved and how easy they are to solve.

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### Other Chapters

Other chapters within the College Algebra: Help and Review course

- Basic Arithmetic
- Overview of Real Numbers
- Foundations and Linear Equations: Help and Review
- Overview of Linear Equations
- Matrices and Absolute Value: Help and Review
- Inequalities: Help and Review
- Using FOIL, Graphing Parabolas & Solving Quadratics to Factor: Help & Review
- Properties of Polynomial Functions
- Working with Quadratic Equations
- Complex Numbers: Help and Review
- Exponents and Exponential Expressions
- Overview of Exponents
- Exponents and Polynomials: Help and Review
- Algebraic Expressions and Equations
- Rational Expressions: Help and Review
- Math Expressions and Formulas
- Functions: Help and Review
- Fractions
- Factoring
- Exponentials and Logarithms: Help and Review
- Probability Mechanics: Help and Review
- Calculations, Ratios & Proportions
- Percent Notation
- Data, Statistics & Probability
- Sequences and Series: Help and Review
- Basic Number Sense and Operations
- Overview of Roots & Radical Expressions
- Overview of Continuity in Mathematics
- Overview of Mathematical Limits