Algebraic notation worksheet — GCSE Foundation

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

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

3.Simplify p + p + p.

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

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

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

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

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

9.p = 4. Work out the value of 2p³.

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

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

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

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

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

15.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.