About cookies

The NCETM site uses cookies. Read more about our privacy policy

Please agree to accept our cookies. If you continue to use the site, we'll assume you're happy to accept them.


Personal Learning Login

Sign Up | Forgotten password?
Register with the NCETM

Algebra: using equations and functions : Post 16 Level 2 : Mathematics Content Knowledge

Key Stage
Key Stage

Next Question

Enter the Self-evaluation Tools
Self-evaluation Tools
Currently viewing
Post 16 Level 2
Algebra: using equations and functions
Question 1 of 21

1. How confident are you that you can model simple contextual and subject-based problems algebraically?

a. Problem One


A 1m length of copper pipe is cut into two pieces.

copper pipes

Write down an expression for y in terms of x.

Prompt 1.

This is asking you to write down an expression that starts with y = … and has some function of x on the right hand side.

Prompt 2.

The original pipe has a length of 1 m so x + y = 1. Now rearrange this to get y = …


copper pipes

The original pipe has length 1 m so the lengths of the two smaller pieces must add up to 1.

x + y = 1
y = 1 − x

Related information and resources from the NCETM

Related information and resources from other sites

Related courses from the NCETM

Add to your NCETM favourites
Remove from your NCETM favourites
Add a note on this item
Recommend to a friend
Comment on this item
Send to printer
Request a reminder of this item
Cancel a reminder of this item