# Ch 13: 3rd Grade Math: Basic Algebraic Expressions

### About This Chapter

## Basic Algebraic Expressions - Chapter Summary

This chapter exposes 3rd grade students to the basics of algebra, including variables and combining like terms, along with the commutative, associative and distribute properties. The engaging video lessons will show learners everything they need to know to get started in evaluating and simplifying algebraic expressions. Using the multiple-choice quizzes that follow each lesson, you can see if more instruction is needed before proceeding.

## Chapter Lessons and Objectives

Lesson | Objective |
---|---|

What is a Variable in Algebra? | Students learn what a variable is and how to use that knowledge in evaluating and interpreting expressions. |

Expressing Relationships as Algebraic Expressions | The instructor presents factors for students to consider in their interpretations and evaluations of algebraic expressions. |

Evaluating Simple Algebraic Expressions | This lesson shows 3rd grade learners how to evaluate simple algebra expressions. |

The Commutative and Associative Properties and Algebraic Expressions | Students can explore simplification of algebraic expressions by learning about these two important properties. |

The Distributive Property and Algebraic Expressions | The instructor demonstrates the use of the distributive property for students to use in simplification of algebraic expressions. |

Combining Like Terms in Algebraic Expressions | This video lesson shows beginning algebra students the rules for combining like terms. |

Practice Simplifying Algebraic Expressions | Students view the skills necessary to begin simplifying algebraic expressions, and then demonstrate their abilities through practice problems. |

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

In algebra, a variable is any letter or symbol that represents a number with an unknown value. Learn the parts of an algebraic problem, which are variables, constants, and coefficients, understand why variables are used, and review practice problems.

### 2. Expressing Relationships as Algebraic Expressions

Algebraic expressions, or mathematical sentences with numbers, variables, and operations, are used to express relationships. Learn how to solve algebraic expressions with various operations, such as addition and multiplication, and using multipe variables.

### 3. Evaluating Simple Algebraic Expressions

To evaluate simple algebraic expressions, substitute a number for each variable and solve. Learn the steps for evaluating simple algebraic expressions, including rules for order of operations and parentheses, and tackle the practice problems in this lesson.

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

The commutative property states that the order of operations will not affect the sum when adding or multiplying, and the associative property states the same for the grouping of operations. Learn the application of these properties by practicing algebraic expressions.

### 5. The Distributive Property and Algebraic Expressions

The distributive property, which involves distributing a term across all numbers and variables within the parentheses, provides a useful way to simplify algebraic expressions. Learn what the distribution property is, and solve for it in algebraic expressions in practice problems.

### 6. Combining Like Terms in Algebraic Expressions

Combining like terms, which refers to the process of merging terms that have the same variable, is a way to simplify algebraic expressions. Learn what combining like terms means, understand the process of adding variables, and review practice problems.

### 7. Practice Simplifying Algebraic Expressions

Algebraic expressions are simplified using two useful concepts: combining like terms and the distributive property. Learn how to use combining like terms and the distributive property to simplify algebraic expressions, and understand the solutions to the practice problems.

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### Other Chapters

Other chapters within the 3rd Grade Math: Practice & Review course

- 3rd Grade Math: Number Sense & Arithmetic
- 3rd Grade Math: Number Properties
- 3rd Grade Math: Solving Math Word Problems
- 3rd Grade Math: Estimation & Rounding
- 3rd Grade Math: Addition
- 3rd Grade Math: Subtraction
- 3rd Grade Math: Multiplication
- 3rd Grade Math: Multiples of Whole Numbers
- 3rd Grade Math: Multiplication Skills Practice
- 3rd Grade Math: Division
- 3rd Grade Math: Division Skills Practice
- 3rd Grade Math: Simplifying Whole Number Expressions
- 3rd Grade Math: Writing Algebraic Expressions
- 3rd Grade Math: Data & Graphs
- 3rd Grade Math: Probability & Statistics
- 3rd Grade Math: Units of Measurement
- 3rd Grade Math: Introduction to Geometric Figures
- 3rd Grade Math: Angles
- 3rd Grade Math: Triangles
- 3rd Grade Math: Quadrilaterals
- 3rd Grade Math: Perimeter, Area & Volume
- 3rd Grade Math: Symmetry, Similarity & Congruence
- 3rd Grade Math: Fractions
- 3rd Grade Math: Decimals
- 3rd Grade Math: Money
- 3rd Grade Math: Time