Ch 31: NES Middle Grades Math: Rational Expressions

About This Chapter

Complete the lessons in this chapter to dust off your skills in working with rational equations across the basic arithmetic operations. The lesson quizzes and chapter test will help you get ready for the NES Middle Grades Mathematics exam.

NES Middle Grades Math: Rational Expressions - Chapter Summary

As you work with these video lessons, you will get a thorough review of the process of solving rational equations along with practice problems and real-world examples. Your National Evaluation Series (NES) Middle Grades Mathematics test preparation will be greatly boosted by the expert instruction and memorable videos we provide here. The specific topics covered in these lessons include:

  • Solving rational equations
  • Adding, subtracting, multiplying, and dividing rational expressions
  • Practice problems and solutions in each area

Our instructors keep things interesting and brief by focusing each video on a narrow topic and reinforcing the material with entertaining graphics and applications of the lessons. The self-assessments are a great way to practice answering multiple-choice questions similar to those you will see on the real test. Take your studies on the go by accessing these lessons on your Web-enabled mobile device.

NES Middle Grades Math: Rational Expressions Objectives

When taking the NES Middle Grades Mathematics exam, you will be required to demonstrate the ability to work with rational equations in the Number Sense and Operations (17%) content domain in particular, but certainly working with fractions will be a necessary skill throughout the other content domains as well. Objective 0002 in particular requires you to display an understanding of working with fractions, ratios, rates, and proportions, all of which generate rational expressions.

The test has 150 multiple-choice questions overall which come with a time limit of 4 hours and 15 minutes. The passing score is 220 on a scaled system ranging from 100-300. The test administrators will provide you with your scaled score immediately following the test. A couple of weeks later, your detailed report will be published and sent automatically to you, your state education agency, and the educational institution(s) you indicated during registration. Head over to the NES website for more information on the test breakdown, registration, and scoring.

6 Lessons in Chapter 31: NES Middle Grades Math: 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 NES Middle Grades Mathematics (203): Practice & Study Guide course

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