Algebra worksheet — GCSE Foundation

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

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

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

4.A sequence has the position-to-term rule 5n − 2, where n is the position number. Which of these is a term in the sequence?

5.Solve x − 4 = −9

6.Work out the value of 4p² − 3 when p = 2.5

7.A cyclist's distance-time graph shows the following: she travels 12 km in the first 30 minutes at a steady speed, then rests for 30 minutes, then travels a further 8 km in the next 15 minutes. Work out her average speed, in km/h, for the whole journey.

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

9.Look at the statement 2x + 5 = 17. Considering whether it is an expression, an equation, a formula, or an identity, which classification is correct?

10.A straight line passes through the points (−1, 2) and (3, 14). Work out the equation of the line.

11.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.

12.Expand and simplify (x − 3)²

13.Two expressions are 6(x − 1) and 6x − 6. A student says these are equivalent for every value of x. Is the student correct?

14.A sequence has the position-to-term rule n² + 1, where n is the position number. Work out how much bigger the 5th term is than the 4th term.

15.Which expression is equivalent to 2(x + 6)?