# Ch 11: 5th Grade Math: Basic Algebraic Expressions

### About This Chapter

## Basic Algebraic Expressions - Chapter Summary

The entertaining video lessons in the Basic Algebraic Expressions chapter can guide your students' understanding of basic mathematical properties, variables, coefficients and constants. These lessons are designed to teach your 5th grade students to evaluate expressions and combine like terms in order to simplify expressions. Test your students' progress by administering the chapter examination.

## Chapter Lessons and Objectives

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

What is a Variable in Algebra? | This lesson defines a variable and teaches students how to use variables. |

Expressing Relationships as Algebraic Expressions | Teachers explain the rules for expressing relationships as algebraic expressions. |

Evaluating Simple Algebraic Expressions | Students learn to use the order of operations when evaluating simple algebraic expressions. |

The Commutative and Associative Properties and Algebraic Expressions | This lesson teaches students how to use the commutative and associative properties. |

The Distributive Property and Algebraic Expressions | Students learn to simplify algebraic equations using the distributive property. |

Combining Like Terms in Algebraic Expressions | This lesson teaches students to combine like terms and add variables. |

Practice Simplifying Algebraic Expressions | Teachers review the process of simplifying algebraic expressions and students solve practice problems. |

### 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 5th Grade Math: Practice & Review course

- 5th Grade Math: Number Sense & Arithmetic
- 5th Grade Math: Number Properties
- 5th Grade Math: Solving Math Word Problems
- 5th Grade Math: Estimation & Rounding
- 5th Grade Math: Addition
- 5th Grade Math: Subtraction
- 5th Grade Math: Multiplication
- 5th Grade Math: Multiples of Whole Numbers
- 5th Grade Math: Division
- 5th Grade Math: Simplifying Whole Number Expressions
- 5th Grade Math: Data & Graphs
- 5th Grade Math: Probability & Statistics
- 5th Grade Math: Units of Measurement
- 5th Grade Math: Introduction to Geometric Figures
- 5th Grade Math: Angles
- 5th Grade Math: Triangles
- 5th Grade Math: Quadrilaterals
- 5th Grade Math: Circles
- 5th Grade Math: Perimeter, Area & Volume
- 5th Grade Math: Symmetry, Similarity & Congruence
- 5th Grade Math: Fractions
- 5th Grade Math: Operations with Fractions
- 5th Grade Math: Decimals
- 5th Grade Math: Operations with Decimals
- 5th Grade Math: Mixed Operations
- 5th Grade Math: Money
- 5th Grade Math: Time
- 5th Grade Math: The Coordinate Graph
- 5th Grade Math: Patterns & Sequences
- 5th Grade Math: Number Theory
- 5th Grade Math: Integers
- 5th Grade Math: Percents
- 5th Grade Math: Rates, Ratios & Proportions