Algebraic notation worksheet — GCSE Foundation

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

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

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

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

5.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.

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

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

8.n = 3. Work out the value of (2n)².

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

10.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.

11.A ribbon of length L metres is cut into 5 equal pieces, and then 3 metres is removed from one piece. Write down an expression, in metres, for the length of that piece after 3 metres is removed.

12.Write down the expression that means the same as m² × m × 3.

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

14.p = 4. Work out the value of 2p³.

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