Algebra worksheet — GCSE Foundation

1.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?

2.For the graph of y = 1/x, where x cannot be zero, which of these statements is correct?

3.Simplify 2b − 1 + 2b − 4 + 2b

4.Solve the inequality 2(3x − 1) ≥ 4x + 8.

5.Expand 7(a + 8)

6.A number machine adds 5 to its input. Work out the output when the input is 0.

7.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.

8.A rectangular field has length (3a + 2) metres and width (a − 1) metres. Write a simplified expression for the perimeter of the field.

9.The simultaneous equations x = 2 and x + y = 9 are given. Work out the value of y.

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

11.A number machine adds 6 to its input. Work out the output when the input is −4.

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

13.The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width. A rectangular garden has a perimeter of 46 m and a length of 14 m. Rearrange the formula to make w the subject, then work out the width of the garden.

14.y = x + 4. Work out the value of y when x = 3.

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