Algebraic notation worksheet — GCSE Foundation

1.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.

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

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

4.p = 4. Work out the value of 2p³.

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

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

7.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.

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

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

10.Simplify p + p + p.

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

13.n = 3. Work out the value of (2n)².

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

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