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Expanding Brackets and Simplifying

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

'Expanding Brackets and Simplifying' 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 worksheet is about expanding (multiplying out brackets) and simplifying algebraic expressions.

 

Example 1

Simplify 4x - 9(3 - 5x)

 

Answer

We copy down the 4x then multiply out the bracket (NB two negatives)

4x - 27 + 45x

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

49x - 27



Example 2

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

 

Answer


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 

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