Algebra worksheet — GCSE Foundation

1.Which expression is equivalent to 5x − (x + 3)?

2.A park is drawn on a grid in which 1 unit represents 1 km. The car park is at the point (0, 0) and the lake is at the point (3, 5). Work out the direct distance, in km, from the car park to the lake, giving your answer to 1 decimal place.

3.Solve 2x² = 18.

4.Write down the number of terms in the expression 4x² − 7x + 3.

5.Make x the subject of the formula y = 4(x − 6).

6.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x

7.The point A lies on the x-axis. Which statement about A must be true?

8.Work out the values of x and y that satisfy both x + y = 10 and x − y = 4.

9.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?

10.Oliver has m stickers and gives 5 of them away. The number he has left is L = m − 5. Work out L when m = 8.

11.Which expression means the same as 3 × a × b?

12.Amelia's mother is three times as old as Amelia. Four years ago her mother was five times as old as Amelia was then. Work out Amelia's age now.

13.A wall is tiled in rows, and every row uses the same number of tiles. One row uses 10 tiles, two rows use 20 tiles and three rows use 30 tiles. Work out how many tiles are needed for 7 rows.

14.Work out the value of (x − 4)/2 + 3 when x = 10

15.A rule turns each input x into an output y. The inputs are x = −1, 0, 1, 2 and the matching outputs are y = 5, 3, 1, −1. Work out the rule.