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Translate Word Problems into Algebra

In this worksheet, students will choose the expression that matches the given word problem.

'Translate Word Problems into Algebra' worksheet

Key stage:  KS 3

Year:  Year 7 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Popular topics:   Algebra worksheets, Year 7 Algebra worksheets

Difficulty level:  

Worksheet Overview

Look at the following examples to see how algebraic expressions can be used to represent word problems.


Example 1

Katie eats a cookies and her brother Freddie eats 5 more than Katie.

We can write this as an algebraic expression:

Freddie eats a + 5 cookies.




Example 2

There are x number of sheep in a field and y number of cows.

The farmer doubles the number of sheep.

How many animals are there in the field now? Write this as an algebraic expression.



There are now 2x + y animals in the field.




In the questions that follow, we're going to practise using algebra to express word problems.


Here is a list of some of the most important ways to express word problems using algebra. Have a read through and then we'll start on the questions.


Expression Word Problem
a + 4 4 more than a
a - 4 4 less than a
4 - a a less than 4
 4a 4 times a
 a/4  a ÷ 4 or ¼ of a
 3a + 4  4 more than 3 times a
 a/2 - 6  6 less than half of a


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