Algebra worksheet — GCSE Foundation

1.Solve 2x + 1 = 9

2.A lift has a weight limit: it must carry no more than 630 kg. Let w be the total weight, in kg, carried by the lift. Which inequality describes this?

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

4.Factorise x² − 64.

5.A geometric sequence starts at 3, and each term after that is found by multiplying the term before it by 2. Write down the first four terms.

6.A point lies on the y-axis. What can be said about the x-coordinate of that point?

7.The graph of y = mx + 6 passes through the point (−2, 0). Work out the value of m.

8.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.

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.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.The first five terms of a quadratic sequence are 2, 5, 10, 17, 26. Work out the next term in the sequence.

12.Which expression is equivalent to 0.5(4x + 6) − x?

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

14.A car's speed increases steadily while it accelerates. Its speed v m/s after t seconds is given by v = u + at, where u is the starting speed in m/s and a is the acceleration in m/s². A car starts at u = 4 m/s and accelerates at a = 2 m/s² until it reaches v = 20 m/s. Work out t, the time taken in seconds.

15.Work out the distance of the point (−6, 4) from the x-axis.