# Equivalent Expressions – Part 2

## Overview

We can use what we know about writing equivalent expressions to identify when two expressions are equal. For example…

Which expression is equivalent to **z + z ?**

Two expressions are equivalent when they result in the same solution regardless of

what number you plug in for the variable.

Let’s try plugging in the number **2** to see which answer is equivalent to **z + z**.

Both equations seem equivalent. But let’s try when **z = 3**

In order to be equivalent, the expressions must always be equal.

Therefore, the answer is **A**.

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True or False. **3e + 2 – 1** is equivalent to **3e + 1**.

True

The equation combines like terms.

True or False. **4(3 – t)** is equivalent to **12 – 4t**.

True

The equation uses the distributive property.

Joe argues that **n + 1** is equivalent to **1n**. Why is he incorrect?

He is incorrect because the two equations are not always equal.

He attempted to combine like terms but n and 1 are not “like terms”.

Jo argues that

Why is she correct?

She is correct because she uses the distributive property to ensure

the equations are equivalent.

Georgia argues that **p(1 + 2p)** is equivalent to **4p**.

Why is she incorrect?

She is incorrect because the two equations are not always equal.

She attempted to use the distributive property but **p** times **2p** is

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