Algebraic notation worksheet — GCSE Foundation

1.Simplify p + p + p.

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

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

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

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

6.p = 4. Work out the value of 2p³.

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

8.n = 3. Work out the value of (2n)².

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

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

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

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

13.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.

14.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.

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