Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Simplify Expressions

In this worksheet, students will simplify algebraic expressions.

'Simplify Expressions' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

Worksheet Overview

In this activity, we will learn how to simplify expressions.


To simplify an expression we have to collect together the terms that are alike, that is all the x's, all the y's and all the terms that are just numbers.


Sometimes it is necessary to multiply out brackets.    


Remember we are just simplifying expressions.  It is impossible to solve expressions as there are no equals signs and these are not equations.


Example 1

Simplify 2x + 5 - 4x - 1 + x


Answer 1

2x - 4x + x + 5 - 1

= -x + 4 or 4 - x


Example 2

Simplify 3(x - 4) - 2(x - 1)


Answer 2

First, we multiply out the brackets to get

3x - 12 - 2x + 2

Then we collect like terms.

3x - 2x - 12 + 2

x - 10


Start the questions when you're ready!

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started

Try an activity or get started for free

  • National Tutoring Awards 2023 Shortlisted / Parents
    National Tutoring Awards 2023 Shortlisted
  • Private-Tutoring-WINNER-EducationInvestor-Awards / Parents
    Winner - Private Tutoring
  • Bett Awards Finalist / Parents
  • Winner - Best for Home Learning / Parents
    Winner - Best for Home Learning / Parents