Algebraic notation worksheet — GCSE Foundation

1.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.

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

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

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

5.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.

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

8.n = 3. Work out the value of (2n)².

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

10.Simplify p + p + p.

11.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.

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

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

14.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.

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