# Exploring systems of equations

## Lesson details

### Key learning points

1. In this lesson, we will explore systems of equations. We will also use arithmagons to derive a system of equations that can be solved.

### 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.
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
x+3y
x+y

## Exit quiz

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### 5 Questions

Q1.
If p+6=11, what is the value of p?
-5
16
17
Q2.
If p=11 and p+q=20. What is the value of q?
10
11
31
Others
Q3.
If q=5 and p+2q=10. Find the value of p.
10
20
5
Others
Q4.
If p+1=6 and p+q+1=7, what is the value of q?
13
6
7
Q5.
If p+q=11 and 2p+q=1, what is the value of 3p+2q?
1
11