About This Chapter
How It Works:
- Identify the lessons in the Saxon Simplifying Rational Expressions chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover simplifying rational expressions topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Simplifying complex rational expressions
- Basic operations with rational expressions
- Simplifying rational expressions with factoring
- Rationalizing denominators in rational expressions
- Addition of like terms
- Simplifying complex fractions
- Euler's Notation
- Simplifying complex numbers with multiple steps
- Conjugate of the denominator
- Simplifying complex numbers with multiplication and division
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1. 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.
2. 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.
3. 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!
4. 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.
5. 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.
6. Simplifying Rational Expressions With Factoring
In this lesson, we will review rational expressions and factoring. Then, we will see how to use factoring to simplify rational expressions and actually put the process to use in an example.
7. Rationalizing Denominators in Radical Expressions
Radical expressions containing denominators are not simplified completely unless the denominator is free of radical symbols. This lesson will teach you how to remove a radical from the denominator of a fraction through a process called rationalizing the denominator.
8. How to Simplify Complex Fractions
When fractions are inside other fractions, it can get really confusing. In this lesson, we'll learn how to tackle complex fractions, using the tools math gives us to simplify and resolve the toughest ones.
9. Simplifying Complex Numbers: Addition of Like Terms
We will talk about complex numbers - their uses and their parts. Then, we will look at simplifying these types of numbers by adding like terms. Lastly, we will practice this process through various examples.
10. Simplifying Complex Numbers: Euler's Notation
Sometimes things in math get a little complex, especially when you're dealing with complex numbers. In this lesson, you'll learn how to simplify things using a nice way to represent complex numbers: Euler's Notation.
11. Simplifying Complex Numbers: Conjugate of the Denominator
Calculations with complex numbers sometimes produce a complex number in the denominator. In this lesson, we show how to simplify these results by using the complex conjugate.
12. Simplifying Complex Numbers With Multiple Steps
Performing the basic operations with complex numbers isn't much different than doing so with polynomials. In this lesson, we'll go over what exactly you must know about complex numbers, including some key facts that'll help you perform these operations.
13. Simplifying Complex Numbers With Multiplication & Division
In this lesson, we'll review the definition of complex numbers. With the aid of illustrations, we'll also look at the steps involved in simplifying complex numbers with multiplication and division.
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Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course
- Saxon Algebra 2: Decimal Numbers
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Real Numbers
- Saxon Algebra 2: Complex Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Roots
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Understanding Functions
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Angles
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem
- Saxon Algebra 2: Proofs