  # Multiplying Out Brackets and Simplifying

In this worksheet, students multiply out brackets and simplify algebraic expressions. Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:   #### Worksheet Overview

This worksheet is about multiplying out brackets and simplifying algebraic expressions.

Example 1

Simplify 4x -9(3 - 5x)

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

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

Collect y2 terms together and y terms together

5y2- 7y

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