Algebra worksheet — GCSE Foundation

1.Simplify 5x + 3y − 2x + y.

2.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.

3.Make x the subject of the formula y = (x − 4)/5.

4.A speed-time graph for a car shows the speed increasing steadily from 5 m/s to 17 m/s over 6 seconds. Work out the acceleration of the car, in m/s².

5.Which of these is a formula?

6.Solve the inequality 6.3x + 1.8 ≤ 40. Hence write down the greatest number with exactly one decimal place that satisfies the inequality.

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

8.Solve the simultaneous equations 3x + y = 14 and x + y = 6. Work out the value of x.

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

10.Which expression is equivalent to 2(x + 6)?

11.A theatre's front row has 18 seats. Each row behind has 4 more seats than the row in front. Which row has exactly 62 seats?

12.There are 30 students in a Year 10 maths class. There are 2 more boys than girls. Work out the number of boys and the number of girls.

13.A geometric sequence has first term 3 and common ratio 2. Work out the 5th term of the sequence.

14.A graph shows the total monthly cost of a mobile phone tariff against the number of minutes of calls. The line starts at £12 and stays level until 200 minutes, then rises by 5p for each further minute of calls. Use the graph to work out the total cost of a month in which 250 minutes of calls are made.

15.A straight line passes through the points (1, 3) and (2, 5). Work out the equation of the line.