Algebraic notation worksheet — GCSE Foundation

1.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.

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

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

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

5.n = 3. Work out the value of (2n)².

6.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.

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

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

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

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

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

12.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.

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

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

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