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

Solving a rational equation involves finding the common denominator and multiplying all numbers by it, then simplifying and checking the answer. Explore rational equations and apply the steps involved to solve example problems.

How to Add and Subtract Rational Expressions

2. How to Add and Subtract Rational Expressions

Rational polynomial expressions are fractions with a numerator and denominator that are polynomials and can be simplified as needed and act similarly to fractions when identifying a common denominator. Learn how rational expressions are added and subtracted by simplifying through several steps demonstrated in examples.

Practice Adding and Subtracting Rational Expressions

3. Practice Adding and Subtracting Rational Expressions

Rational expressions can be simplified and reduced using common numerators and denominators to be added and subtracted. Put the steps into action to add and subtract rational expressions and use FOIL to solve three practice problems.

How to Multiply and Divide Rational Expressions

4. How to Multiply and Divide Rational Expressions

Polynomial retinal expressions, being a fraction that contains a polynomial, are able to be divided and multiplied similarly to normal fractions. Explore the extra steps involved through three examples of how to factor, flip, slash, and multiply and divide rational expressions when needed.

Multiplying and Dividing Rational Expressions: Practice Problems

5. Multiplying and Dividing Rational Expressions: Practice Problems

The steps of multiplying or dividing rational polynomial expressions are to factor, flip (when dividing), slash or cancel, and multiply. Put these steps for multiplying and dividing rational expressions into action and master the concept by solving a series of example problems.

Rational Equations: Practice Problems

6. Rational Equations: Practice Problems

Rational equations include fractions and a numerator and denominator with polynomials. Explore rational equation examples and practice problems and learn how to clear the fraction.

Chapter Practice 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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