# Ch 10: Algebra - Rational Expressions: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help preparing for the math portion of the GMAT will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn better grades. You're in the right place if you:

- Have fallen behind in understanding how to perform mathematical operations with rational expressions or find average and constant rates.
- Need an efficient way to learn about rational expressions.
- Learn best with engaging auditory and visual tools.
- Struggle with learning disabilities or learning differences, including autism and ADHD.
- Experience difficulty understanding your teachers.
- Missed class time and need to catch up.
- Can't access extra math resources at school.

## How it works:

- Start at the beginning, or identify the topics that you need help with.
- Watch and learn from fun videos, reviewing as needed.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Submit questions to one of our instructors for personalized support if you need extra help.
- Verify you're ready by completing the Algebra: Rational Expressions chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the Algebra: Rational Expressions chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any relevant question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

In this chapter, you'll learn the answers to questions including:

- How do I add and subtract rational expressions?
- How do I multiply and divide rational expressions?
- What steps do I follow to solve rational equations?
- Can I use rational equations to solve math problems?
- What steps do I use to calculate average and constant rates?

### 1. How to Add and Subtract Rational Expressions

Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.

### 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. How to Multiply and Divide Rational Expressions

Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.

### 4. 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.

### 5. How to Solve a Rational Equation

A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!

### 6. 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.

### 7. Solving Rational Equations with Literal Coefficients

Watch this video lesson and be amazed at how you can solve a rational equation with numbers and letters in it. Learn how to solve rational equations with literal coefficients, and you will learn how to solve any rational equation you come across!

### 8. Solving Problems Using Rational Equations

Follow the steps you will learn in this video lesson to help you solve rational equation problems. See how the process turns what looks like a huge problem into a much simpler and easier to manage problem.

### 9. Finding Constant and Average Rates

Watch this video lesson to learn the differences between constant and average rates. You will learn the steps you need to take to find them and get two great visuals you can keep in mind to help you solve these rate problems.

### 10. Solving Problems Using Rates

In this video lesson, learn how to set up rate problems so you can easily solve them. You will become familiar with the rate formula and you will see how easy it is to use.

### 11. Rational Function: Definition, Equation & Examples

Rational functions are an extremely useful type of function found in mathematics. They are functions that are fractions whose numerator and denominator are both polynomials. Learn all about them in this lesson!

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### Other Chapters

Other chapters within the GMAT Prep: Help and Review course

- Basic Arithmetic Calculations: Help and Review
- Rational Numbers: Help and Review
- Decimals and Percents: Help and Review
- Data & Statistics: Help and Review
- Basic Algebraic Expressions: Help and Review
- Exponents: Help and Review
- Algebraic Linear Equations & Inequalities: Help and Review
- Algebra - Absolute Value Equations & Inequalities: Help and Review
- Algebra - Polynomials: Help and Review
- Perimeter, Area & Volume: Help and Review
- Geometric Properties of Objects: Help and Review
- Geometric Graphing Basics: Help and Review
- Geometric Graphing Functions: Help and Review
- Writing Conventions - Grammar: Help and Review
- Usage in Writing: Help and Review
- Reading Comprehension for Test-Taking: Help and Review
- Critical Reasoning for Test-Taking: Help and Review
- Practical Applications for Test-Taking: Help and Review
- Essay Writing Basics: Help and Review
- Essay Clarity: Help and Review
- Editing Your Writing: Help and Review
- Practicing Analytical Writing: Help and Review
- GMAT Test: General Info
- GMAT Prep Flashcards