Algebraic notation worksheet — GCSE Foundation

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

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

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

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

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

6.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.

7.p = 4. Work out the value of 2p³.

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

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

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

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

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

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

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