Algebra worksheet — GCSE Foundation

1.Amelia is buying books. Each book costs £5 and she has at most £30 to spend. Write down an inequality for x, the number of books she can buy.

2.A mobile phone tariff charges a fixed £15 plus 20p for every minute of calls made, so the total monthly charge, £C, for m minutes of calls is given by C = 15 + 0.2m. In a month where Ali's charge was £46.60, work out how many minutes of calls he made.

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

4.Solve the inequality 6x ≥ 18.

5.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?

6.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.

7.Work out the equation of the straight line that passes through (−2, 3) and (4, −9).

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

9.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?

10.The first term of an arithmetic sequence is 5, and each term after that increases by 6. Work out the 8th term of the sequence.

11.The expression 6n + 15 is written as 3(2n + 5). Which statement is correct?

12.Make p the subject of the formula n = p/3.

13.Which expression is equivalent to 3(x + 4) − 2(x − 1)?

14.A sequence starts at 2. Each term after that is found using the rule "double the previous term, then add 1". Work out the 4th term of the sequence.

15.Which of these numbers is a cube number?