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Equations: Solutions to Simple Equations with Two Unknowns

In this worksheet, students must find pairs of numbers that satisfy a simple equation with two unknowns.

'Equations: Solutions to Simple Equations with Two Unknowns' worksheet

Key stage:  KS 2

Curriculum topic:   Algebra

Curriculum subtopic:   Use Equations

Difficulty level:  

Worksheet Overview

In this worksheet, we look at equations with two unknowns.

a and b stand for two numbers, which could be different or the same.

 

Look at this equation.

a + b = 8

It tells you that a added to b is 8.

 

We are looking for any two numbers that add to 8 in order to satisfy (fit) the equation.

If a is 6, b will be 2.

If a = 2, b = 6.

If a = 9, b must be negative. b will be -1.

If a = 4½, b = 3½.

 

 

Example

a - b = 7

Which of these solutions satisfy the equation?

a = 7, b = 0

a = 0, b = 7

a = 10, b = 3

a = 10¾, b = 3¾

 

Answer

Put the given pairs into the equation to see if a - b is 7 or not.

 

a = 7, b = 0 fits because 7 - 0 = 7
a = 0, b = 7 does not fit because 0 - 7 = -7 (not 7)
a = 10, b = 3 fits because 10 - 3 = 7
a = 10¾, b = 3¾ fits because 10¾ - 3¾ = 7

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