Algebraic notation worksheet — GCSE Foundation

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

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

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

4.n = 3. Work out the value of (2n)².

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

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

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

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

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

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

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

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

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