# Ch 13: Understanding Algebraic Expressions

### About This Chapter

## Understanding Algebraic Expressions - Chapter Summary

Use our short, engaging video lessons to ensure your elementary school students understand algebraic expressions. Our instructors will explain variables and how to express relationships as algebraic expressions. They will introduce students to the commutative, associative and distributive properties. Students will learn how to evaluate simple expressions, combine like terms and then practice what they have learned. At the end of each lesson there is a short, multiple-choice quiz you can use to assess your students' grasp of each concept, and you can use the chapter test to see if review is needed.

## Chapter Lessons and Objectives

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

What is a Variable in Algebra? | This lesson defines variables and provides examples. |

Expressing Relationships as Algebraic Expressions | This lesson teaches students how to create an equation using mathematical operations and variable to express the relationship between two numbers. |

Evaluating Simple Algebraic Expressions | Students learn to evaluate simple expressions. |

The Commutative and Associative Properties and Algebraic Expressions | This lesson explains the commutative and associative properties and their uses in solving algebraic expressions. |

The Distributive Property and Algebraic Expressions | This lesson demonstrates and provides practice for the distributive property. |

Combining Like Terms in Algebraic Expressions | Students learn to simplify expressions by sorting and combining like terms. |

Practice Simplifying Algebraic Expressions | Students will practice the skills they have learned by simplifying 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 3rd-5th Grade Math: Practice & Review course

- Number Sense & Arithmetic
- Number Properties
- Estimation & Rounding
- Steps for Solving Math Word Problems
- Addition
- Subtraction
- Multiplication
- Multiples of Whole Numbers
- Multiplication Skills Practice
- Division
- Division Skills Practice
- Simplifying Whole Number Expressions
- Data & Graphs
- Probability & Statistics
- Units of Measurement
- Working with Geometric Figures
- Angles
- Identifying Triangles
- Quadrilaterals
- Circle Types & Parts
- How to Measure Perimeter, Area & Volume
- Symmetry, Similarity & Congruence
- Polyhedrons & Geometric Solids
- Identifying & Working with Fractions
- Operations with Fractions
- Adding, Subtracting, Multiplying & Dividing Decimals
- Operations with Decimals
- Mixed Operations
- Money
- Time
- The Coordinate Graph
- How to Graph a Function
- Number Theory & Prime Factorization
- Integers
- Percents
- Rates, Ratios & Proportions