Year 9

# Writing simultaneous equations algebraically

Year 9

# Writing simultaneous equations algebraically

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## Lesson details

### Key learning points

- In this lesson, we will learn to write word simultaneous equations algebraically. We will then interpret worded problems and write two algebraic equations based on the information provided, then solve them.

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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.

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

### 5 Questions

Q1.

Let p be the number of protractors bought. If each protractor costs £2, which of the following represents the total amount spent on protractors (in pounds)?

2+p

p

p^2

Q2.

Let p be the cost of a protractor. If I buy 3 protractors, which of the following represents the total cost?

3+p

Others

p^3

p+3

Q3.

Let p be the number of protractors bought and q be the number of rulers bought. Protractors cost 20 pence and rulers cost 15 pence each. What does 15q represent?

Others

The number of protractors

The number of rulers

The total cost of the protractors

Q4.

Let p be the number of protractors bought and q be the number of rulers bought. Protractors cost 20 pence and rulers cost 15 pence each. What does p+q represent?

Nothing

The cost of 1 protractor and 1 ruler

The total cost

Q5.

Let p be the number of protractors bought and q be the number of rulers bought. Protractors cost 20 pence and rulers cost 15 pence each. What does 20p+15q represent?

20 protractors and 15 rulers

nothing

The total number of items bought