TExMaT Master Mathematics Teacher 8-12: Rational Expressions - Videos & Lessons

About This Chapter

Use the engaging video lessons in this chapter to learn more about rational expressions as you prepare to take the TExMaT Master Mathematics Teacher 8-12 test. Lesson quizzes and a chapter exam are available to gauge how well you understand the materials.

TExMaT Master Mathematics Teacher 8-12: Rational Expressions - Chapter Summary

Prepare to take the TExMaT Master Mathematics Teacher 8-12 test by watching the short video lessons in this chapter. You can refresh your knowledge of rational expressions to ensure you're ready to address the following on the test:

Multiplying and dividing rational expressions
Adding and subtracting rational expressions
Solving a rational equation
Understanding the division and reciprocals of rational expressions
Simplifying complex rational expressions
Interpreting graphs of rational functions

Instructors in the video lessons offer insight into the definitions and functions necessary to succeed on the test. The lessons are also visually entertaining, making the learning process more effective.

TExMaT Master Mathematics Teacher 8-12: Rational Expressions Chapter Objectives

The TExMaT Master Mathematics Teacher 8-12 test is designed to ensure you're prepared to secure educator certification as a Master Mathematics Teacher in Texas and teach in public schools at these specific grade levels. The topics covered in the TExMaT Master Mathematics Teacher 8-12: Rational Expressions chapter are located in the precalculus and calculus portion of the test, which constitutes approximately 16% of the total exam. Use the video lessons and self-assessment quizzes to strengthen your comprehension of the materials. The quizzes can also give you access to questions formatted similarly to those you'll see on the test.

The assessment is composed of two assessment modes, multiple-choice questions and a constructed-response case study assignment.

6 Lessons in Chapter 16: TExMaT Master Mathematics Teacher 8-12: Rational Expressions

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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.

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. 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!

4. 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.

5. 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.

6. Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

A rational function arises from the ratio of two polynomial expressions. The graphs of rational functions often have distinct characteristics. In this lesson, we look at how to analyze some of those characteristics.

Chapter Practice Exam

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Practice Final Exam

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