Algebraic notation worksheet — GCSE Foundation

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

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

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

4.Simplify k + k + k + k + k.

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

6.n = 3. Work out the value of (2n)².

7.p = 4. Work out the value of 2p³.

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

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

11.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.

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

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

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

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