Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

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

Year:  Year 4 11+ worksheets

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Equations and Algebra

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.

 

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.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Try an activity or get started for free

  • National Tutoring Awards 2023 Shortlisted / Parents
    National Tutoring Awards 2023 Shortlisted
  • Private-Tutoring-WINNER-EducationInvestor-Awards / Parents
    Winner - Private Tutoring
  • Bett Awards Finalist / Parents
    Finalist
  • Winner - Best for Home Learning / Parents
    Winner - Best for Home Learning / Parents