About This Chapter
Rational Expressions & Practice - Chapter Summary and Learning Objective
Analyze the methods for solving mathematics problems that involve rational expressions with this chapter. These lessons will prepare you to handle rational expressions by providing you with practice problems and demonstrating the steps to solve them. Complete this chapter and you'll understand:
- How to add, subtract, multiply and divide rational expressions
- Reciprocals of rational expressions
- The method for simplifying a complex rational expression
- Tips to solve rational equations
|How to Add and Subtract Rational Expressions||Evaluate the methods for adding and subtracting rational expressions.|
|Practice Adding and Subtracting Rational Expressions||Develop your ability to add and subtract rational expressions.|
|How to Multiply and Divide Rational Expressions||Focus on learning how rational expressions can be multiplied and divided.|
|Multiplying and Dividing Rational Expressions: Practice Problems||Break down the steps to multiply and divide rational expressions.|
|Division and Reciprocals of Rational Expressions||Assess the uses of reciprocals of rational expressions.|
|Simplifying Complex Rational Expressions||Focus on ensuring you know how to simplify complex rational expressions.|
|How to Solve a Rational Equation||Analyze the steps for solving a rational equation.|
|Rational Equations: Practice Problems||Test your ability to solve rational equations.|
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. 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.
6. 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.
7. 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!
8. 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.
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Other chapters within the Intermediate Algebra for College Students course
- Algebra Review
- Number Theory Principles
- Exponents & Their Properties
- Linear Equations, Systems & Graphs
- Linear Inequalities
- Absolute Value Expressions & Graphs
- Complex Numbers, Forms & Graphs
- Quadratic Equations & Solutions
- Logarithmic & Trigonometric Equations
- Cartesian Coordinate System
- Linear Models
- Types of Functions
- Graphing & Transforming Functions
- Quadratic & Polynomial Functions
- Operations on Functions
- Real, Complex & Rational Zeros
- Rational Functions & Inequalities
- Pythagorean Theorem
- Probability Calculations
- Measurement & Unit Conversion