# Ch 7: GACE Middle Grades Math: Simplifying Expressions

### About This Chapter

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

The lessons in this chapter provide instruction on how to make mathematical expressions easier to handle through the process of simplification. Knowing how to simplify expressions can help you solve problems a little faster, which may prove vital on a timed test such as the GACE Middle Grades Math assessment. This chapter has been designed to teach you how to simplify the following:

- Subtraction expressions
- Multiplication expressions
- Addition expressions
- Division expressions
- Expressions with exponents or parentheses

All of our lessons come equipped with a video component as well as a text-based component. You can choose just to watch the videos, or you can simply read the transcripts although doing both may provide the best results. If you are familiar with some of the topics but not all of them, you can always click the video tags to jump around to the areas in which you need more help. Don't forget that you can practice for the GACE Middle Grades Math assessment by taking the quizzes or the chapter exam.

### GACE Middle Grades Math: Simplifying Expressions Objectives

To complete the mathematics educator certification process in Georgia, individuals must pass the GACE Middle Grades Math assessment. Administered by the Georgia Professional Standards Commission (GaPSC), the point of this test is to ensure that all educators are skilled and knowledgeable within their fields of expertise, which in this case is middle-grades mathematics.

Test-takers have two hours to complete 45 selected-response questions, and the entire test is taken on a computer. One of the objectives of the test is to verify that educators know how to apply their understanding of mathematical operations and numbers. By using the study materials in this chapter, you should be able to demonstrate your understanding of mathematical operations through your ability to simplify expressions.

### 1. How to Simplify an Addition Expression

Learn how to simplify and combine like terms in any algebraic expression that uses addition with this lesson. Also learn how to follow the order of operations when simplifying your expression.

### 2. How to Simplify a Subtraction Expression

After watching this video lesson, you will be able to simplify any subtraction expression by combining like terms. Learn what to look for and how easy this is to do.

### 3. How to Simplify a Multiplication Expression

In this video lesson, you will learn how to simplify a multiplication expression that has both numbers and variables in it. Learn what you need to watch for and how to write your simplified expression.

### 4. How to Simplify a Division Expression

Watch this video lesson to learn how to simplify a division problem that has both numbers and letters in it. See what you need to do to get the correct answer. Also, learn what you can do to make your job easier.

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

Watch this video lesson to learn how important it is to follow the order of operations. Learn what to do when you see parentheses and exponents in your math problems.

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### Other Chapters

Other chapters within the GACE Middle Grades Mathematics (013): Practice & Study Guide course

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