The answer is 5x+8y… What was the question?
When Colin simplified the expressions below, he was surprised to find that they all gave the same solution! Try it for yourself.
Here is a set of five expressions:
Choose any pair of expressions and add together multiples of each (like Colin did).
Can you find a way to get an answer of 5x+8y in each case?
Warning… you will have to multiply the expressions by fractions in some cases.
If you’re struggling to get started… take a look below to see how Charlie and Alison thought about the problem when combining multiples of (x+2y) and (2x+3y).
Charlie’s trial and improvement approach:
He then kept adjusting the values of a and b until he also got 8y:
Alison’s algebraic approach:
Age 11 to 14