Algebra worksheet — GCSE Foundation

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

2.Which of these equations gives a graph with two separate curved branches — one where x and y are both positive, and one where x and y are both negative?

3.Work out the value of 3a − 2b when a = 5 and b = 4

4.A number machine adds 1 to its input. Isla says that an input of 5 gives an output of 6. Which statement is correct?

5.Work out the value of 3b − 4 when b = 6

6.A plumber charges a £40 call-out fee plus £25 for each hour worked. The total charge, £C, for a job lasting h hours is given by C = 40 + 25h. Work out the charge for a job lasting 3 hours, and name what kind of statement C = 40 + 25h is.

7.Which of these is a formula?

8.Work out the value of 5a + 2 when a = 3

9.The nth term of a sequence is 4n + 2. A term in the sequence has value 30. Work out its position, n, in the sequence.

10.Work out the value of 2(x + 2) when x = −5

11.Work out the distance of the point (−6, 4) from the x-axis.

12.A table of values is being drawn for the graph of y = x³. Work out the value of y when x = −2.

13.A quadratic curve has a minimum turning point at (3, −4). Which of these statements about the curve must be true?

14.Factorise x² − 64.

15.Three consecutive integers add up to 72. Using n for the smallest integer, form an equation and solve it to find the smallest of the three integers.