Algebraic notation worksheet — GCSE Foundation

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

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

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

4.p = 4. Work out the value of 2p³.

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

6.Simplify k + k + k + k + k.

7.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.

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

9.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.

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

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

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

13.Simplify p + p + p.

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

15.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.