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# Subtracting Terms in Algebra

(KS3, Year 7)

## The Lesson

Terms can be subtracted. Imagine we wanted to subtract the term**2b**from

**3a**.

The method for subtracting terms depends on whether the terms are

**like**or

**unlike**.

## Subtracting Like Terms in Algebra

Like terms have the same**variables**(letters), each with the same

**exponents**by them. The only difference is their

**coefficient**(the number, or sometimes the letter, in front of them).

**2a**and

**3a**are like terms. They have the same letters (

**a**), with the same exponents. The only difference is

**2a**has a coefficient of

**2**while

**3a**has a coefficient of

**3**.

If terms are like terms, the terms are subtracted by identifying the coefficients of the like terms and subtracting them from each other.

**Don't forget:**When the coefficient of a term is 1, there is no need to write it. Read more about subtracting like terms in algebra

## Subtracting Unlike Terms in Algebra

Unlike terms have different variables (letters) or different exponents.**3a**and

**2b**are unlike terms. They have different variables (

**a**in one,

**b**in the other).

If terms are unlike, the terms are simply subtracted using the − operator. The expression cannot be simplified any further.

## Real Examples of How to Subtract Terms in Algebra

The following real examples show how to subtract terms in algebra. The method is slightly different depending on whether the terms are unlike or like, so the first step is always to identify whether terms are like or unlike.## A Real Example of How to Subtract Like Terms in Algebra

## Question

Subtract the two terms below.## Step-by-Step:

# 1

Check whether the terms are unlike or like.
In our example, the terms are like. They have the same variables (

**x**and**y**), with the same exponents. The only difference is**3xy**has a coefficient of**3**while**2xy**has a coefficient of**2**.# 2

Identify the coefficients of the terms.

# 3

Subtract the coefficients from each other.

# 4

Make the number found in

**Step 3**(1) the coefficient of the term (xy).## Answer:

We have subtracted the like terms together:**3xy**−

**2xy**=

**xy**

## A Real Example of How to Subtract Unlike Terms in Algebra

## Question

Subtract the two terms below.## Step-by-Step:

# 1

Check whether the terms are unlike or like.
In our example, the terms are unlike. They have different variables (

**x**and**y**in one,**a**and**b**in the other).# 2

Leave the terms subtracted with the − operator. The subtractition cannot be simplified any further.

## Answer:

We have subtracted the like terms from each other:**3xy**−

**2ab**=

**3xy**−

**2ab**

## 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.**Help Us To Improve Mathematics Monster**

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