# Equivalent Expressions – Part 1

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

## Overview

Equivalent expressions are expressions that are written differently but have the same value. Let’s look at an example…

Write an expression that is equivalent to 2 (3 + n).

We can use our knowledge of multiplication to recognize that 2 times 3 + n is the same as saying 2 groups of  3 + n.

We can represent the two groups with a model.

We can see by looking at the model that the expression could be written as

6 + 2n

We can check our answer with the distributive property.

2 (3 + n)

When using the distributive property, we distribute the 2 to each term within the
parenthesis. Doing this allows us to forgo the order of operations, which comes in
handy when we are working with variables.

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Use a model to illustrate 4(2 + p).

Use a model to illustrate 3(x + 4).

Combine like terms to find an equivalent expression for 2t + 4 + 3t – 2.

Combine like terms to find an equivalent expression for 3y + 2t – t + 2y.

Combine like terms to find an equivalent expression for 4s + 1 – s.

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