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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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

Correct answer: 2p

2p

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

Correct answer: 3p

3p

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

Correct answer: The total cost of the rulers

The total cost of the rulers

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

Correct answer: The total number of items bought

The total number of items bought

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

Correct answer: The total cost

The total cost

The total number of items bought

Lesson appears in

UnitMaths / Solving linear simultaneous equations algebraically