Algebra worksheet — GCSE Foundation

1.The formula connecting distance (d), speed (s) and time (t) is d = st. Make s the subject of the formula.

2.A pattern is made from tiles. Pattern 1 uses 4 tiles, pattern 2 uses 7 tiles, pattern 3 uses 10 tiles and pattern 4 uses 13 tiles, with each pattern using 3 more tiles than the one before. Work out an expression, in terms of n, for the number of tiles used in pattern n.

3.A straight line has gradient −2 and passes through the point (3, 1). Work out the equation of the line.

4.A sequence starts at 2. Each term after that is found using the rule "double the previous term, then add 1". Work out the 4th term of the sequence.

5.Which of these points lies in the first quadrant?

6.There are 50 adults on a coach to the Lake District. Every adult is either a man or a woman. There are 10 more men than women. Work out the number of men.

7.A student says 4(2x − 3) is equivalent to 8x − 3. Which statement gives the correct verdict and reason?

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

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

10.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.

11.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.

12.Which expression means 'triple c, then add double d'?

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.A straight line has gradient 3 and passes through the point (1, 4). Work out the equation of the line.

15.The formula for the perimeter of a square is P = 4s, where s is the side length. Make s the subject of the formula.