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Equation with Two Variables: How Many Answers? (2)

In this worksheet, students must find how many integer solutions there are to a given equation with two variables.

'Equation with Two Variables: How Many Answers? (2)' worksheet

Key stage:  KS 2

Year:  Year 6 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Use Variables

Popular topics:   Algebra worksheets

Difficulty level:  

Worksheet Overview

In this worksheet, all the answers must be whole positive numbers or zero.

An equation with two variables involves two numbers which must be found.


"I think of two numbers.

When I double the first and add this to the second, I get 8."


In written algebra, when a and b stand for two numbers, we get:


2a + b = 8


This means that twice a added to b must come to 8.

a and b are whole positive numbers or zero.


What could they be?

If a is 0, b must be 8.

If a is 1, b must be 8 - 2 = 6.

If a is 2, b must be 8 - 4 = 4.

If a is 3, b must be 8 - 6 = 2.

If a is 4, b must be 8 - 8 = 0.


The results can be shown in a table:


 a   b 
0 8
1 6
2 4
3 2
4 0


There are 5 solutions.

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