Algebraic notation worksheet — GCSE Foundation

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

2.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.

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

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

5.Write down the expression that means the same as (x + 7) ÷ 4.

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

7.Simplify k + k + k + k + k.

8.Simplify p + p + p.

9.A taxi charges a £3 fixed fee plus £2 for each mile travelled. Write an expression, in pounds, for the total cost of a journey of n miles.

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

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

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

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

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

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