# Checking the solution of simultaneous equations

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## Lesson details

### Key learning points

- In this lesson, we will learn to check the solutions to simultaneous equations by a method of substitution.

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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.

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

### 5 Questions

Q1.

If x=2 and y=3, what is the value of 2x+3y?

12

4x+9y

5

Q2.

Is x=3 the solution to 2x+7=13?

no

Q3.

Use substitution to decide which of the following are solutions to x+y=3.

x=3 and y=0

y=1 and x=1

Q4.

Use substitution to decide which of the following is the solution to x+y=3 and 3x+4y=10.

x=1 and y = 2

x=3 and y=4

x=4 and y=-0.5

Q5.

Use substitution to decide which of the following is the solution to x+y=3 and 5y+3x=15.

x=1 and y=2

x=1.5 and y = 1.5

x=2 and y=1