Algebraic notation worksheet — GCSE Higher

1.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.

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

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

4.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.

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

6.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.

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

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

9.p = 4. Work out the value of 2p³.

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

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

12.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.

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

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

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