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

### About This Chapter

## 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

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### Other Chapters

Other chapters within the NMTA Middle Grades Mathematics (203): Practice & Study Guide course

- NMTA Middle Grades Math: Basic Arithmetic Operations
- NMTA Middle Grades Math: Solving Math Word Problems
- NMTA Middle Grades Math: Properties of Numbers
- NMTA Middle Grades Math: Estimating & Rounding
- NMTA Middle Grades Math: Number Theory
- NMTA Middle Grades Math: Roots & Radical Expressions
- NMTA Middle Grades Math: Exponents & Exponential Expressions
- NMTA Middle Grades Math: Scientific Notation
- NMTA Middle Grades Math: Simplifying Whole Number Expressions
- NMTA Middle Grades Math: Integers
- NMTA Middle Grades Math: Rational Numbers
- NMTA Middle Grades Math: Introduction to Fractions
- NMTA Middle Grades Math: Operations with Fractions
- NMTA Middle Grades Math: Introduction to Decimals
- NMTA Middle Grades Math: Operations with Decimals
- NMTA Middle Grades Math: Percents
- NMTA Middle Grades Math: Money & Consumer Math
- NMTA Middle Grades Math: Number Patterns & Sequences
- NMTA Middle Grades Math: Properties of Functions
- NMTA Middle Grades Math: Graphing Functions
- NMTA Middle Grades Math: Negative Numbers
- NMTA Middle Grades Math: Absolute Value
- NMTA Middle Grades Math: Inequalities
- NMTA Middle Grades Math: Factoring
- NMTA Middle Grades Math: Monomials & Polynomials
- NMTA Middle Grades Math: Writing Algebraic Expressions
- NMTA Middle Grades Math: Basic Algebraic Expressions
- NMTA Middle Grades Math: Algebraic Distribution
- NMTA Middle Grades Math: Writing & Solving One-Step Equations
- NMTA Middle Grades Math: Writing & Solving Two-Step Equations
- NMTA Middle Grades Math: The Coordinate Graph
- NMTA Middle Grades Math: Linear Equations
- NMTA Middle Grades Math: Systems of Linear Equations
- NMTA Middle Grades Math: Rates, Ratios & Proportions
- NMTA Middle Grades Math: Measurement
- NMTA Middle Grades Math: Perimeter & Area
- NMTA Middle Grades Math: Polyhedrons & Geometric Solids
- NMTA Middle Grades Math: Symmetry, Similarity & Congruence
- NMTA Middle Grades Math: Properties of Lines
- NMTA Middle Grades Math: Triangles
- NMTA Middle Grades Math: Triangle Theorems & Proofs
- NMTA Middle Grades Math: Similar Polygons
- NMTA Middle Grades Math: The Pythagorean Theorem
- NMTA Middle Grades Math: Quadrilaterals
- NMTA Middle Grades Math: Circles
- NMTA Middle Grades Math: Circular Arcs & Measurement
- NMTA Middle Grades Math: Transformations
- NMTA Middle Grades Math: Data & Graphs
- NMTA Middle Grades Math: Statistics
- NMTA Middle Grades Math: Data Collection
- NMTA Middle Grades Math: Samples & Populations
- NMTA Middle Grades Math: Probability
- NMTA Middle Grades Math: Sets
- NMTA Middle Grades Mathematics Flashcards