# Exploring systems of equations

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## Lesson details

### Key learning points

- 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.

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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

### 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

5