Algebra worksheet — GCSE Foundation

1.Solve 3x − 5 = 4.

2.Make x the subject of the formula y = x + 7.

3.Which of these is an inequality?

4.Work out the value of m² + 3m when m = −2

5.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.

6.Which of these numbers is a cube number?

7.A model rocket's height is given by h = −5t² + 20t, where h is in metres and t is in seconds. A student says the graph of h against t is n-shaped. Which statement gives the correct verdict on the SHAPE and the reason that settles it from the equation?

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

9.The first five cube numbers are 1, 8, 27, 64, 125. Write down the next cube number in the sequence.

10.In which quadrant does the point (−3, 0.5) lie?

11.Yusuf has £40 saved and adds £6 each week. His sister Aisha has £10 saved and adds £11 each week. After how many weeks will they have saved the same amount?

12.Write down the first four terms of the sequence with nth term 6n − 5.

13.A sequence has nth term 3n + 4. Two terms are missing from the list of its first five terms: 7, 10, _, 16, _. Work out the missing 3rd and 5th terms added together.

14.Work out the coordinates of the reflection of (6, −3) in the y-axis.

15.A gym charges a reduced price for the first month of membership and a standard price for every month after that. The total cost is £5 for 1 month, £12 for 2 months, £19 for 3 months and £26 for 4 months. Work out an expression, in terms of n, for the total cost, in pounds, of n months of membership.