# Ch 26: SAT Math: Rational Equations and Expressions

### About This Chapter

## SAT Math: Rational Equations and Expressions - Chapter Summary

The largest portion of the math SAT assesses algebra and functions concepts. Review these critical topics through our motivating video lessons:

- Solving rational equations
- Adding and subtracting rational expressions
- Multiplying and dividing rational expressions

After finishing each video lesson, make sure that you complete the quick online quiz for immediate feedback on your progress. Follow up with additional review, if necessary.

### SAT Math Objectives

The math section of the SAT has 58 questions to be completed in 80 minutes. Approximately 35%-40% of the questions address topics related to algebra and functions, such as the following:

- Solving linear equations and inequalities
- Equations and inequalities systems
- Quadratic equations
- Simplification and substitution in algebraic expressions
- Exponent properties
- Algebraic word problems
- Radical and rational equations
- Equations of lines
- Inverse and direct variation
- Absolute value
- Concepts of algebraic functions

This chapter, dealing with rational equations and expressions, provides you with plenty of practice problems for mastering rational equations. Your quiz results will tell you when you're ready to move forward.

On test day, make sure that you have fresh batteries in your approved calculator, although you won't be able to use it for all of the problems. You won't lose any points for unanswered questions or incorrect answers.

### 1. 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!

### 2. 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.

### 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. 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.

### 5. 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!

### 6. 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.

### 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!

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### Other Chapters

Other chapters within the SAT Prep: Practice & Study Guide course

- SAT: About the Test
- SAT Writing: About the Writing Section
- SAT Writing: Text & Argument Analysis
- SAT Writing: Word Choice & Expression
- SAT Writing: Standard English Grammar
- SAT Writing: Writing & Language Test Practice
- SAT Writing: The Essay Portion
- SAT Writing: Planning and Writing Your Essay
- SAT Writing: Parts of an Essay
- SAT Writing: Sentence Clarity and Structure
- SAT Writing: Essay Writing Skills
- SAT Writing: How to Write An Argument
- SAT Writing: Supporting Your Writing
- SAT Writing: Revising Your Writing
- SAT Reading: About the Reading Section
- SAT Reading: Reading Passages
- SAT Reading: Understanding Reading Passages
- SAT Reading: Interpreting & Analyzing Text
- SAT Reading: Literary Terms
- SAT Reading: US Documents & Speeches
- SAT Vocabulary Practice
- SAT Math: About the Math Section
- SAT Math: Numbers and Operations
- SAT Math: Exponents
- SAT Math: Equations and Expressions
- SAT Math: Inequalities
- SAT Math: Functions
- SAT Math: Quadratic Equations
- SAT Math: Ratios, Rates & Proportional Relationships
- SAT Math: Unit Rate & Measurement Conversions
- SAT Math: Geometry and Measurement
- SAT Math: Triangles & Trigonometric Ratios
- SAT Math: Data Analysis, Statistics and Probability
- SAT Prep Flashcards
- SAT Flashcards