# Exploring expressions with two variables

## Lesson details

### Key learning points

1. In this lesson, we will explore expressions with two variables and how to interpret them. We will also look at examples involving spending money on combinations of pens and pencils.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
Look at the picture below and then fill in the gap: If the same expression is __________ to two equal quantities, then the two resulting expressions will be equal.
divided
multiplied
subtracted
Q2.
Look at the picture below and then fill in the gap: If the same expression is ___________ from two equal quantities, then the two resulting expressions will be equal.
divided
multiplied
Q3.
Look at the picture below and then fill in the gap: If two equal expressions are both _____________ by the same quantity, then the two resulting expressions will be equal.
divided
subtracted
Q4.
Look at the picture below and then fill in the gap: If two equal expressions are both __________ by the same quantity, then the two resulting expressions will be equal.
multiplied
subtracted
Q5.
If 𝑥 + 𝑦 = 100, then what is the value of 2𝑥 + 2𝑦 - 20?
160
200
220

## Exit quiz

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### 5 Questions

Q1.
If a protractor costs 50p and a ruler costs 60p, what is the cost of 3 protractors and 2 rulers?
£1.10
£1.50
5
Q2.
Given that p=3 and r=5, evaluate 3p+2r.
21
5
9p+10r
Q3.
I want to buy 3 rulers and 3 protractors. If they cost 40 pence each, how much will I spend?
£1.20
£24
40 pence
Q4.
Given that y=13, which of the following expressions is equal to 195?
13y
182y
195y
Q5.
If x=4 and y=5, which of the following expressions is equal to 24?
4x+y