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Factorise Simple Algebraic Expressions

In this worksheet, students will factorise simple algebraic expressions.

'Factorise Simple Algebraic Expressions' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Algebra

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

Popular topics:   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.



Factorise fully 10x - 15 + 25y



The HCF of 10x and 15 and 25y 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 + 5y)


We can do it backwards to check that it works:

5 x 2x = 10x

5 x -3 = -15

5 x 5y = 25y

Put them together to get 10x - 15 + 25y, so it works!!


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