# How to do combining like terms and distributive property

- Simplfy an Algebraic Expression by Recognizing Like Terms
- Distributive Property: 5 Clear Examples to Use in Class
- Combining Like Terms with the Distributive Property
- Like Terms and More on Solving Equations

## Simplfy an Algebraic Expression by Recognizing Like Terms

Combining Like Terms with the Distributive Property This is because they do not share the same variable. Combining your like terms is not difficult in itself.

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## Distributive Property: 5 Clear Examples to Use in Class

Commutative, Associative and Distributive Properties 1-1

## Combining Like Terms with the Distributive Property

The distributive property is the key to combining expressions with like terms. Why were these statements true? Terms are like terms when they have the exact same variables with the exact same exponents. Example: 4 a ,10 a , and a are all like terms because in all three expressions the variable is a and the exponent is 1. Example: 27 t 2 , t 2 , and 96 t 2 are all like terms because in all four of these expressions, the variable part is t and the exponent on t is 2.

Algebra Basics: The Distributive Property - Math Antics

## Like Terms and More on Solving Equations

When you were learning how to add or subtract numbers, you may have started with similar objects such as fruits. For instance, if there are three apples in a box and you place two more, how many apples are there? In algebra, this idea of adding apples can be represented using the simple equation below. Notice that we are able to combine the two terms, 3a and 2a because they have the same variable part which is a. Now, how about if we have apples and bananas?

In a previous lesson, Combining Like Terms , students identified like terms and developed steps for simplifying algebraic expressions. The Do Now is an assessment of their understanding of like terms. Problems 2 and 3 display common mistakes made by students. It is important for students to be able to explain why these are not correct equations. This lesson is a continuation of Combining Like Terms , but I will introduce students to how the distributive property can be used to simplify expressions and combine like terms. Students have prior knowledge of the distributive property, but I will review how 3 should be multiplied by both terms in the parentheses.

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What is the distributive property? When you distribute something, you are dividing it into parts. In math, the distributive property helps simplify difficult problems because it breaks down expressions into the sum or difference of two numbers. Looking for a specific operation? Click the highlighted tabs and jump right to the:. In the first example below, we simply evaluate the expression according to the order of operations, simplifying what was in parentheses first. Imagine one student and her two friends each have seven strawberries and four clementines.

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Practice expanding expressions using the distributive property then combining like terms.