# Ch 24: OAE Middle Grades Math: Basic Algebraic Expressions

### About This Chapter

## OAE Middle Grades Math: Basic Algebraic Expressions - Chapter Summary

Prepare for OAE Middle Grades Math test questions asking you to factor, simplify and solve algebraic expressions. Lessons in this chapter can help you review the steps involved in:

- Expressing relationships algebraically
- Evaluating algebraic expressions
- Applying the commutative, associative and distributive properties to algebraic expressions
- Combining like terms and simplifying algebraic expressions

Use these self-paced lessons to get as much or as little practice working with algebraic expressions as you need. Solve the sample problems included in the multiple-choice quizzes to affirm your understanding of these algebra concepts.

### OAE Middle Grades Math: Basic Algebraic Expressions Chapter Objectives

The OAE Middle Grades Math exam includes 150 multiple-choice questions designed to assess the subject area knowledge of applicants for a middle grades math teaching endorsement in Ohio.

Responses to questions in the Algebra and Functions content domain account for 33% of your exam score. You can use the lessons in this chapter to prepare for questions measuring your ability to work with algebraic equations and inequalities and transform phrases into algebraic expressions.

### 1. What is a Variable in Algebra?

Did you ever encounter something like a + b = c and wonder how all these letters snuck into a math problem? In this lesson, we'll learn about variables, as well as other parts of equations, constants and coefficients.

### 2. Expressing Relationships as Algebraic Expressions

What do you do when you don't know what a number is but you do know how it relates to something else? You use an algebraic expression. In this lesson, we'll learn how to express relationships as algebraic expressions.

### 3. Evaluating Simple Algebraic Expressions

In this lesson, we'll learn how to evaluate algebraic expressions, which involves substituting numbers for variables and following the order of operations. By the end of the lesson, you'll be an algebraic expression expert.

### 4. The Commutative and Associative Properties and Algebraic Expressions

The order of operations is important and useful, but a few mathematical properties highlight cases where order doesn't matter. In this lesson, we'll learn about the commutative and associative properties, which may save you time and effort.

### 5. The Distributive Property and Algebraic Expressions

The order of operations is great. But sometimes we need to bend the rules to simplify an equation. Fortunately, the distributive property gives us a scenario in which this is okay. Learn all about it in this lesson.

### 6. Combining Like Terms in Algebraic Expressions

When you have an algebraic expression that's much too long, it would be great if you could simplify it. That's when knowing how to combine like terms comes in. In this lesson, we'll learn the process of combining like terms and practice simplifying expressions.

### 7. Practice Simplifying Algebraic Expressions

In this lesson, we'll practice simplifying a variety of algebraic expressions. We'll use two key concepts, combining like terms and the distributive property, to help us simplify.

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### Other Chapters

Other chapters within the Ohio Assessments for Educators - Middle Grades Mathematics (030): Practice & Study Guide course

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