Year 9

# Solving simultaneous equations

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## Lesson details

### Key learning points

- In this lesson, we will solve a word simultaneous equation. We will then interpret the problem and create two equations from it and model a solution.

### 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 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

### 5 Questions

Q1.

The cost of 1 protractor is 30 pence. If I spent £2.70, how many did I buy?

1

30

90

Q2.

A compass costs 50 pence. 8 protractors and 3 compasses costs £8.70. What is the cost of a protractor?

£1.08

£9.20

79 pence

Others

Q3.

1 compass and 1 protractor costs £1.10. 2 compasses and 1 protractor costs £1.60. What is the cost of a compass?

£3.70

5 pence

90 pence

Others

Q4.

If 10 compasses and 3 protractors cost £4.20. 10 compasses and 6 protractors cost £5.40. Find the cost of 1 protractor.

£1.20

30 pence

Q5.

If 10 compasses and 3 protractors cost £4.20. 10 compasses and 6 protractors cost £5.40. Find the cost of 1 compass.

£1.20

£9.60

40 pence