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Simplify Complicated Expressions

In this worksheet, students will form an expression and then collect like terms to simplify.

'Simplify Complicated Expressions' worksheet

Key stage:  KS 3

Year:  Year 7 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

Worksheet Overview

In previous activities, we have collected like terms to simplify an expression.


For example:


We moved onto mixed ones:


We even introduced brackets:


In this activity, we are going to form an expression before collecting the like terms.

A typical question would look like this!



Write an expression to represent the perimeter of the triangle.


a triangle with expressions on the sides





Well, first of all, we need to know how to find the perimeter of a triangle. Do you know?

Yes, it is all the way around the shape!


If the sides were numbers, we would just add them all together to give an answer.

We do the same here!




This is an expression for the perimeter, but we collect the like terms to simplify it. 



2a + 2a + a = 5a

4 - 3 + 5 = 6 (Be careful with the negatives, the sign in front of the term belongs to it)


The finished answer is:


Let's try some questions!

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