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Expand Single Brackets and Simplify

In this worksheet, students will multiply out brackets and simplify algebraic expressions.

'Expand Single Brackets and Simplify' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Popular topics:   Algebra worksheets

Difficulty level:  

Worksheet Overview

This activity is about expanding (multiplying out brackets) and simplifying algebraic expressions.


Example 1

Simplify 4x - 9(3 - 5x)



We copy down the 4x then multiply out the bracket:

4x - 27 + 45x (Did you spot that -9 x 3 = a negative 27, but -9 x -5x = a positive 45x?)


Now we collect like terms, i.e. 4x + 45x

49x - 27

Example 2

Simplify 3y(y - 5) + 2y2 + 8y



First, start by expanding the bracket 3y(y - 5) to get 3y2 - 15y

Simplify 3y2 - 15y + 2y2 + 8y

Collect y2 terms together and y terms together

5y- 7y 


Right, let's have a go at some questions now.

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