  # Factorise Simple Expressions

In this worksheet, students will factorise simple algebraic expressions. Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Understand Expressions, Equations, Inequalities, Terms and Factors

Popular topics:   Algebra worksheets, Year 7 Algebra worksheets, Factors worksheets

Difficulty level:   #### Worksheet Overview

Factorising is the reverse of multiplying out brackets.

We put an expression into brackets by taking out the highest common factor (HCF) of each term in the expression.

To work out what goes inside the brackets, we divide each term by this HCF.

Example

Factorise fully 10x - 15

The HCF of 10x and 15 is 5.

So we take 5 outside the brackets and divide each term by 5 to work out what goes inside the brackets.

The answer is 5(2x - 3) We can check it to make sure that it works by multiplying out the brackets again!

5 x 2x = 10x

5 x -3 = -15

So we get 10x - 15 which is correct!!

Are you ready to try some questions now?

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