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Ch 35: MTTC Math (Secondary): Rational Expressions & Functions

About This Chapter

Develop expertise in rational expressions and functions by combining your prior knowledge with your review of this chapter's video lessons on the subjects. Afterward, you could be prepared for like questions on the MTTC Math (Secondary) examination.

MTTC Math (Secondary) Rational Expressions and Functions - Chapter Summary

Brush up on rational expressions and functions through this chapter's online videos, and enhance your chances of passing the MTTC Math (Secondary) examination. When you watch the videos, you could revisit some rules and strategies for writing rational functions as well as for performing operations with rational expressions. Go over the examples and increase your ability to simplify and factor numerators and polynomials. This chapter could help you build the skills necessary to:

  • Identify the differences between horizontal and vertical asymptotes
  • Divide, add, subtract and multiply rational expressions, and complete practice problems
  • Outline the steps for solving rational equations
  • Describe the methods for graphing rational functions with linear polynomials and polynomials of varying degrees
  • Recognize domain, range and asymptotes

The video lessons are taught by instructors who are experts in mathematics. Accessible online, the lessons are brief as well as informative. Review when your schedule permits, submit your questions, and use the video tags to find information. The lessons include text transcripts and clickable links for important math terms. Take the self-assessment quizzes to test your preparedness for the rational expressions and functions questions you'll encounter on the MTTC Math examination.

MTTC Math (Secondary) Rational Expressions and Functions - Objectives

The 'Patterns, Algebraic Relationships and Functions' section of the MTTC Math (Secondary) examination contains questions on rational expressions and functions. Worth 28% of the entire assessment score, this second section of the four-part examination will require you to demonstrate your problem-solving abilities and mathematical reasoning skills. Apply what you reviewed through this chapter's video lessons and quizzes as you seek a teaching certification in Michigan.

There are two versions of the examination: paper-based and computer-based. While either version of the examination will include 80 multiple-choice questions, you will need less time to finish the computerized test. The computer-administered examination must be completed in under two hours and 30 minutes, whereas the paper-based examination could take up to four hours and 30 minutes for completion.

9 Lessons in Chapter 35: MTTC Math (Secondary): Rational Expressions & Functions
Test your knowledge with a 30-question chapter practice test
Expressions of Rational Functions

1. Expressions of Rational Functions

In this video lesson, you will learn how to write a rational function given just the horizontal and vertical asymptotes. Learn how to write the asymptotes and where to write them in your function.

How to Multiply and Divide Rational Expressions

2. 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

3. 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

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.

Practice Adding and Subtracting Rational Expressions

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!

How to Solve a Rational Equation

6. 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!

Graphing Rational Functions That Have Linear Polynomials: Steps & Examples

7. Graphing Rational Functions That Have Linear Polynomials: Steps & Examples

Watch this video lesson to learn how you can graph rational functions with linear polynomials in just a few steps. Also learn what kinds of functions these are and what you need to look for to graph them.

Graphing Rational Functions That Have Polynomials of Various Degrees: Steps & Examples

8. Graphing Rational Functions That Have Polynomials of Various Degrees: Steps & Examples

Graphing rational functions is not as hard or as scary as it sounds. Sure, the functions may be big, but watch this video lesson and you will see that graphing these functions can actually be easy.

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

9. 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
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 MTTC Mathematics (Secondary) (022): Practice & Study Guide course

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