# Explore Equations with Two Variables

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

Key stage:  KS 2

Curriculum topic:   Algebra

Curriculum subtopic:   Use Variables

Popular topics:   Algebra worksheets

Difficulty level:

#### Worksheet Overview

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

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

Look at this equation:

a + b = 8

The two numbers, a and b, must add to 8.

They 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 7.

If a is 2, b must be 6 etc....

The results can be shown in a table:

a   b
0 8
1 7
2 6
3 5
4 4
5 3
6 2
7 1
8 0

There are nine solutions.

Let's try some questions on this now.

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