Algebraic notation worksheet — GCSE Foundation

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

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

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

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

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

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

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

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

9.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.

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.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.

13.Simplify k + k + k + k + k.

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

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