Algebraic notation worksheet — GCSE Foundation

1.Which expression means 'triple c, then add double d'?

2.a = 3 and b = 5. Work out the value of a²b.

3.Tom buys 2 notebooks and 6 pencils on Monday, priced at p pence each for a notebook and q pence each for a pencil. On Tuesday he buys 3 more notebooks and 1 more pencil. Write a simplified expression, in pence, for the total amount Tom has spent on notebooks and pencils.

4.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.

5.Which expression means 'y squared, multiplied by 3'?

6.Write down the expression that means the same as 3 × y × y.

7.Write down the expression that means the same as p + p + p + q.

8.Which expression means the same as 3 × a × b?

9.a = 2 and b = 5. Work out the value of a²b.

10.n = 3. Work out the value of (2n)².

11.A taxi charges a £3 fixed fee plus £2 for each mile travelled. Write an expression, in pounds, for the total cost of a journey of n miles.

12.Write down the expression that means the same as (x + 7) ÷ 4.

13.A rectangular field has length (3a + 2) metres and width (a − 1) metres. Write a simplified expression for the perimeter of the field.

14.Write down the expression that means the same as m × m × m × n.

15.p = 4. Work out the value of 2p³.