Create and use algebraic formulae test questions

1

The perimeter of this shape is 36cm.

Create a formulae and solve to find the value of \(x\)

A square with sides marked 'x cm'

2

The perimeter of this rectangle is 28 cm.

Create a formula to show this information and use it to find the value of \( x\)

. A rectangle with two sides marked 'x cm' and the other two marked 'x + 2 cm'

3

The perimeter of this triangle is 28cm.

Create a formula to show this information and use it to find the value of \( x\).

A triangle with one side marked 'x cm', another marked 'x + 2 cm' and another marked 'x + 5 cm'

4

The total distance around a farmer's field is 110m.

Create a formula to show this information and use it to find the value of \( x\).

A polygon with sides marked 'x', 'x + 1 m', 'x + 2 m' and 'x + 3 m'

5

A locksmith has an initial call out charge of £35.

He then charges £18 per hour to carry out the work.

How much would the locksmith charge for 4 hours work?

6

A taxi has a call out charge of £3.50 and charges £2 per mile for every mile travelled.

How much would it cost to take a taxi for a 13 mile journey?

7

A toy maker charges £12 per order and £3 for every toy he has to make.

How much would it cost for one order of 25 toys?

8

A catering company has an initial charge of £80 for every event it caters for plus an additional £4 for every person it caters for.

How much would it cost to cater for an event of 120 people?

9

A cleaner charger £15 per house plus £11 per hour.

How much will he charge for 4 hours work.

10

Aimee is an electrician and charges £15 per hour as well as a call out charge of £25.

How much would she charge for a job that took 7 hours?