Algebraic notation worksheet — GCSE Foundation

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

2.n = 3. Work out the value of (2n)².

3.Simplify k + k + k + k + k.

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.A packet contains s sweets. The sweets are shared equally between f friends. Write an expression for the number of sweets each friend receives.

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

7.a = 2 and b = 5. Work out the value of ab².

8.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.

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

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

11.Simplify p + p + p.

12.Which expression means 'add 3 to n, then multiply the result by 4'?

13.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.

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

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