Algebraic notation worksheet — GCSE Foundation

1.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.

2.Simplify p + p + p.

3.A rope of length L metres is cut into 6 equal pieces, and 4 metres is then removed from one piece. Write an expression, in metres, for the length of that piece after the cut.

4.x = 5. Work out the value of 3x² − 4.

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

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

7.Write down 0.2x with its coefficient written as a fraction in its simplest form.

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

9.p = 4. Work out the value of 2p³.

10.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.

11.Write down the expression that means the same as w ÷ 6.

12.A ribbon of length L metres is cut into 5 equal pieces, and then 3 metres is removed from one piece. Write down an expression, in metres, for the length of that piece after 3 metres is removed.

13.Write down the expression that means the same as m² × m × 3.

14.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.

15.Which expression means the same as a × a × a?