Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Multiplying Out Brackets and Simplifying

In this worksheet, students multiply out brackets containing algebraic terms and then collect like terms.

'Multiplying Out Brackets and Simplifying' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

Worksheet Overview

When we multiply out brackets, everything inside the bracket gets multiplied by whatever is outside the bracket.

Take care with the signs remembering the rules about multiplying negative numbers.

The following examples show how the 3 and the -5 outside the brackets affect the terms inside the brackets.

 

 

Example

Multiply out the brackets and simplify by collecting like terms.

3(4x - 2) - 5(2x + 3)

 

Answer

From the explanation above we get

12x - 6 - 10x - 15

Now collect the x terms to get 2x and the numbers to get -21

The answer is 2x - 21

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
laptop

Try an activity or get started for free

  • educational
  • bettfutures
  • cxa
  • pta
  • era2016
  • BDA award
  • Explore LearningTuition Partner
  • tacm