# Ch 10: NES Middle Grades Math: Simplifying Expressions

### About This Chapter

## NES Middle Grades Math: Simplifying Expressions - Chapter Summary

Use this chapter to learn more about the process of simplifying expressions. Presented online, the tutorial videos review addition, subtraction, multiplication and division expressions. You'll explore methods of writing expressions with fewer terms, and you could also revisit techniques for simplifying and solving problems through visualization. While you get ready for the NES Middle Grades Math examination, this chapter can prepare you for test questions that ask you to:

- Simplify addition and subtraction expressions
- Identify and write a simplified multiplication expression
- Reduce division expressions
- Calculate expressions that contain parentheses and exponents

These animated video lessons can serve as portable tutors. They're easily accessed online via your mobile device or wired technology. Usually between five and ten minutes long, the lessons include text transcripts and short quizzes. You can pause and re-watch the videos as needed, and submit your questions to the experts. Video tags help you navigate the lessons' main topics.

### NES Middle Grades Math: Simplifying Expressions Chapter Objectives

During the *Algebra and Functions* content domain of the NES Middle Grades Math examination, you could be asked to demonstrate your proficiency in simplifying expressions. In part, the test may evaluate your ability to apply tips and applications when simplifying algebraic expressions. Worth approximately 33% of the whole test score, the *Algebra and Functions* domain is one of the four domains you must successfully complete to qualify for a middle grades mathematics teaching endorsement. The computer-based assessment includes 150 multiple-choice questions in total and has a time limit of four hours and 15 minutes.

### 1. How to Simplify an Addition Expression

Addition expressions are mathematical expressions with the addition symbol. Learn how to simplify an addition expression with variables by practicing and analyzing the given examples.

### 2. How to Simplify a Subtraction Expression

Simplifying a subtraction expression is as simple as combining like terms. Learn about subtraction expressions and how to simplify them, then practice simplifying subtraction expressions using examples.

### 3. How to Simplify a Multiplication Expression

Solving multiplication expressions is made easier by simplifying. Learn how to simplify a multiplication expression and practice simplifying by using examples.

### 4. How to Simplify a Division Expression

Mathematical problems involving division can be written as division expressions to be solved easier. Learn how to simplify a division expression by finding factors through examples.

### 5. How to Simplify an Expression with Parentheses & Exponents

Mathematical expressions can utilize parentheses and exponents to notate calculations differently. See how the order of operations (PEMDAS) creates consistency when notating these expressions through a series of examples.

### 6. Simplifying Square Roots of Powers in Radical Expressions

Radical expressions are used to represent numbers that can be reduced to their base number based on their exponent. Learn about the description of a radical symbol, radical expressions with exponents, and how to simplify radical expressions.

### 7. Simplify Square Roots of Quotients

The quotient rule can be used to solve radical expressions. This lesson explores this idea and provides examples demonstrating how to simplify the square roots of quotients.

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### Other Chapters

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

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