## How to Collect Like Terms in Algebra

Collecting like terms is easy.## Question

Simplify the expression below by collecting like terms.## Step-by-Step:

## 1

Identify the like terms.

identifying the like terms.

- Identify the
**x**terms:**x**,**5x**and**x**. - Identify the
**y**terms:**3y**and**-y**. - Identify the
**number**terms:**2**.

identifying the like terms.

## 2

Collect the like terms together.
Bring the

**x**terms next to each other. Bring the**y**terms next to each other. Bring the**number**terms next to each other.**Don't forget:**When you collect like terms, bring the sign in front of the term with it.## 3

Add and/or subtract the like terms together.

- Add the
**x**terms together: - Subtract the
**y**terms from each other: - Add the
**number**terms together. In our example, there is only one number term.

## 4

Put the expression together.
The expression has become:

## Answer:

We have collected the like terms to simplify the expression:x + 3y + 5x + 2 − y + 2

= **7x + 2y + 2**

## What Is a Like Term in Algebra?

Like terms are terms with the same combination of letters (and/or brackets). The only difference is the sign or number in front of the group of letters. Each letter (and/or bracket) in a like term must have the same exponents - the number that sits to the top-right of the letter.## What Is a Term in Algebra?

A term is a collection of numbers, letters and brackets all multiplied together. Terms are separated by + or − signs in an algebraic expression.## You might also like...

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