Algebraic notation worksheet — GCSE Foundation

1.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.

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

3.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.

4.Simplify k + k + k + k + k.

5.Write down the expression that means 5 more than half of n.

6.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.

7.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.

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

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

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

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

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

13.A rope of length L metres is cut into 6 equal pieces, and 4 metres is then removed from one piece. Write an expression, in metres, for the length of that piece after the cut.

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

15.Simplify p + p + p.