# Investigate Equations with Two Variables

In this worksheet, students will work 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 will 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 can change the problem above into this:

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 five solutions.

Shall we have a go at this in some questions now?

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