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Equation with Two Variables: How Many Answers? (1)

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? (1)' worksheet

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Equations and Algebra

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

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.


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 9 solutions.

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