Copyright

Ch 17: NMTA Math: Rational Expressions

About This Chapter

Take time to watch the fun video lessons in this chapter on rational expressions to help you prepare for the NMTA Mathematics test and take self-assessment quizzes to determine your progress.

NMTA Math: Rational Expressions - Chapter Summary

Check out the video lessons in this chapter on rational expressions to help you remember concepts you will find on the NMTA Mathematics assessment. Use the lessons to familiarize yourself with the topics and ensure you're ready to answer questions requiring the following:

  • Adding and subtracting rational expressions
  • Solving rational equations
  • Multiplying and dividing rational expressions
  • Analyzing the graph of a rational function
  • Understanding division and reciprocals of rational expressions
  • Simplifying complex rational expressions

The video lessons showcase instructors who are skilled at providing the detailed guidance you need to tackle these mathematical concepts in preparation for the assessment. They offer step-by-step instructions to ensure you understand the materials, but present the lessons in a lighthearted manner that makes learning fun.

Objectives of the NMTA Math: Rational Expressions Chapter

In New Mexico, the NMTA Mathematics assessment is used to test how well you understand a variety of mathematical concepts while helping you secure your teaching license or endorsement. The topics covered in this NMTA Math: Rational Expressions chapter are found in the patterns, algebra and functions portion of the assessment, which constitutes about 24% of the test. This chapter offers lesson quizzes that help you gauge your understanding of the topics found on the assessment and also provides you with examples of questions found on the actual exam.

On the assessment, you will find 150 multiple-choice questions, structured in the form of short questions, statements or paragraphs. After reading the questions, you will be asked to read through four answers then choose the one you believe best answers the question.

6 Lessons in Chapter 17: NMTA Math: 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.

How to Add and Subtract Rational Expressions

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.

How to Solve a Rational Equation

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!

Division and Reciprocals of Rational Expressions

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.

Simplifying Complex Rational Expressions

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.

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

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
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the NMTA Mathematics (304): Practice & Study Guide course

Support