Algebra worksheet — GCSE Foundation

1.Work out the value of 2x² when x = −3

2.Solve 3x + 14 = 8x − 6

3.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.

4.Two numbers have a sum of 45. The larger number is 9 more than the smaller number. Form an equation using n for the smaller number, and solve it to find the larger number.

5.Make m the subject of the formula w = m − 8.

6.A point lies on the y-axis. What can be said about the x-coordinate of that point?

7.A car's speed-time graph shows the following: its speed increases steadily from 0 m/s to 20 m/s over the first 10 seconds, then stays constant at 20 m/s for the next 15 seconds. Work out the total distance travelled in the first 25 seconds.

8.A caterer uses the formula C = 6p + 20 to work out the total cost, £C, of a buffet for p people, where £20 covers fixed costs. A customer is charged £92. Work out how many people, p, the buffet was for.

9.Solve x − 4 = −9

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

11.A statement contains an equals sign and one unknown letter, and it is only true for particular value(s) of that letter. What is this type of statement called?

12.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.

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

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

15.Make a the subject of the formula b = 20 − a.