Algebraic notation worksheet — GCSE Foundation

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

2.Simplify k + k + k + k + k.

3.n = 3. Work out the value of (2n)².

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

5.Write down the expression that means 5 more than half of n.

6.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.

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

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 m × m × m × n.

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

11.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.

12.Write down the coefficient of xy in the expression 4x²y − 7xy + 2.

13.Simplify p + p + p.

14.Write down the expression that means the same as 'subtract 5 from n, then divide the result by 2'.

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