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Ch 31: NMTA Middle Grades Math: Simplifying & Solving Rational Expressions

About This Chapter

New Mexico has discontinued the NMTAs and now uses the National Evaluation Series (NES) tests. In this chapter, learn to make rational expressions easier to solve through simplification as you prepare for the NES Middle Grades Mathematics test.

NMTA Middle Grades Math: Simplifying & Solving Rational Expressions - Chapter Summary

Make use of the information in these lessons as you practice the steps for simplifying rational expressions. This chapter can aid in your studies for the NES Middle Grades Mathematics test by helping you get reacquainted with the techniques for making equations simpler to solve. At the end of this chapter, you should be more familiar with the following:

  • The simplification process
  • Steps for solving rational equations
  • Subtracting and adding rational expressions
  • Dividing and multiplying rational expressions

Examine our lessons and let our well-trained instructors re-familiarize you with every aspect of solving these types of problems. In these short video lessons, you will hear the instructors guide you through the process and see engaging visuals that are sure to help you remember the major concepts. Our videos and transcripts are at your complete disposal, so you can view these materials around the clock from virtually any device that can access the Internet.

NMTA Middle Grades Math: Simplifying & Solving Rational Expressions Chapter Objectives

For those interested in pursuing the NES Middle Grades Mathematics test, you should know that this multiple-choice style test includes 150 questions that address the four major fields of mathematics, including statistics, probability and discrete math; algebra and functions;, number sense and operations; and geometry and measurement. Learning how to simplify and solve rational expressions is a skill generally needed for questions in the algebra and functions section, and 33% of the test questions are part of this section.

6 Lessons in Chapter 31: NMTA Middle Grades Math: Simplifying & Solving Rational Expressions
Test your knowledge with a 30-question chapter practice test
How to Solve a Rational Equation

1. 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!

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.

Practice Adding and Subtracting Rational Expressions

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!

How to Multiply and Divide Rational Expressions

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.

Multiplying and Dividing Rational Expressions: Practice Problems

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.

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.

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 NMTA Middle Grades Mathematics (203): Practice & Study Guide course

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