Algebraic notation worksheet — GCSE Foundation

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

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

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

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

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

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

7.A rectangular field has length (3a + 2) metres and width (a − 1) metres. Write a simplified expression for the perimeter of the field.

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

9.Write down the expression that means the same as m² × m × 3.

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

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

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.p = 4. Work out the value of 2p³.

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

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