Ch 8: TExES Physics/Math 7-12: Rational Expressions

About This Chapter

Review what you know about rational expressions. Our engaging video lessons help you study mathematical concepts and skills found on the TExES Physics/Math 7-12 test.

TExES Physics/Math 7-12: Rational Expressions - Chapter Summary

Use these video lessons to refresh your knowledge of arithmetic with rational expressions and solving rational equations. The lessons cover the following topics:

  • Multiplying and dividing rational expressions
  • Adding and subtracting rational expressions
  • Solving rational equations
  • How to simplify complex rational expressions
  • Solving equations of direct and inverse variations

Our video lessons, less than 10 minutes each, provide an effective way to prepare for the TExES Physics/Math 7-12 test. You can watch the videos as often as you'd like to ensure you've grasped the materials. If you want to review one or two main points discussed by the instructors, use the video tags to jump to that part of the lesson. Take self-assessment quizzes to further prepare for the test.

10 Lessons in Chapter 8: TExES Physics/Math 7-12: Rational Expressions
Test your knowledge with a 30-question chapter practice test
How to Multiply and Divide Rational Expressions

1. 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.

Multiplying and Dividing Rational Expressions: Practice Problems

2. 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.

How to Add and Subtract Rational Expressions

3. 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.

Practice Adding and Subtracting Rational Expressions

4. 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!

How to Solve a Rational Equation

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!

Rational Equations: Practice Problems

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.

Division and Reciprocals of Rational Expressions

7. 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.

Simplifying Complex Rational Expressions

8. 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.

Solving Equations of Direct Variation

9. 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.

Solving Equations of Inverse Variation

10. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the TExES Physics/Mathematics 7-12 (243): Practice & Study Guide course

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