Algebraic notation worksheet — GCSE Foundation

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

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

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

4.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.

5.n = 3. Work out the value of (2n)².

6.Simplify k + k + k + k + k.

7.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.

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

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

10.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.

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

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

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

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

15.Simplify p + p + p.