# Practise Solving Simple Equations With More Than One Possible Answer

In this worksheet, students will develop their algebra skills by selecting possible solutions to the given simple equation (more than one possible answer).

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:

#### Worksheet Overview

In a previous activity, we found the possible values represented by letters, when all the letters stood for positive whole numbers or zero.

We looked at two basic types.

p + q = 4

Where the possible pairs of numbers were:

p = 0 when q = 4

p = 1 when q = 3

p = 2 when q = 2

p = 3 when q = 1

p = 4 when q = 0

That is two numbers whose sum is 4.

pq = 8

Where the possible pairs of numbers were:

p = 8 when q = 1

p = 4 when q = 2

p = 2 when q = 4

p = 1 when q = 8

That is two numbers whose product is 8.

In this activity, we are going to do a little work before we can identify the pairs of numbers.

Let's see what they will look like!

Example

Find all the possible values represented by a and b, when they stand for positive whole numbers or zero.

First, we need to know what the sum of a and b are, so we just want a and b on their own.

To get rid of +6 we can -6 from both sides.

Which now equals

Much easier to deal with now!

Possible pairs of numbers with a sum of 3 can now be listed.

a = 0 when b = 3

a = 1 when b = 2

a = 2 when b = 1

a = 3 when b = 0

Let's try some questions - come on!

### 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