Algebra worksheet — GCSE Foundation

1.A scout leader is 44 years old and one of the scouts is 16 years old. Work out how many years it will be until the leader is exactly twice as old as the scout.

2.Write down the expression that means the same as p + p + p + q.

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

4.A square tile has an area of 144 cm². Work out the side length of the tile.

5.Which of these equations is true for every value of x, making it an identity rather than an equation with just one solution?

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

7.Which expression is equivalent to 3(2x − 5) + 4x?

8.A number machine multiplies its input by 3. The output is 15. Work out the input.

9.A hall is set out in rows of chairs for an assembly. Row 1 has 50 chairs, row 2 has 45 chairs, row 3 has 40 chairs, and row 4 has 35 chairs, with each row after the first having 5 fewer chairs than the one before. Work out an expression, in terms of n, for the number of chairs in row n.

10.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.

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

12.Which of these is a term, rather than a whole expression, an equation, or a formula?

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

14.A rectangular photo has length (x + 3) cm and width x cm. Its area is 40 cm². Work out the value of x.

15.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.