Algebraic notation worksheet — GCSE Foundation

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

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

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

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

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

6.Simplify p + p + p.

7.p = 4. Work out the value of 2p³.

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

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

10.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.

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

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

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

14.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.

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