Algebra worksheet — GCSE Foundation

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

2.Solve the simultaneous equations 4x + 3y = 25 and 4x − y = 1. Work out the value of y.

3.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?

4.Make x the subject of the formula y = x/2 − 5.

5.A plant is 4 cm tall in week 1. Each week after that, its height increases by 5 cm. Work out the first week in which the plant is taller than 30 cm.

6.Which of these numbers is a cube number?

7.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.

8.The formula for the volume of a cuboid is V = lwh, where l is the length, w is the width and h is the height. Make h the subject of the formula.

9.Expand 2(x + 12)

10.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.

11.Which of these equations is equivalent to 5x − 2 = 3x + 8?

12.Work out the value of 5y + 9 when y = 0

13.A rope of length L metres is cut into 6 equal pieces, and 4 metres is then removed from one piece. Write an expression, in metres, for the length of that piece after the cut.

14.Expand and simplify 2(a + 6) − 2(a − 7)

15.The perimeter, P, of a rectangle with length l and width w is calculated using P = 2l + 2w. What kind of mathematical statement is P = 2l + 2w?