Algebraic notation worksheet — GCSE Foundation

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

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

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

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

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

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

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

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

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

12.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.

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

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

15.Simplify p + p + p.