Algebraic notation worksheet — GCSE Foundation

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

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

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

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

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

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

7.n = 3. Work out the value of (2n)².

8.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.

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

10.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.

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

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

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

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

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