Algebra worksheet — GCSE Foundation

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

2.A number machine multiplies its input by 5. Work out the output when the input is −1.

3.In which quadrant does the point (−3, 0.5) lie?

4.Work out the equation of the straight line that passes through (−2, 3) and (4, −9).

5.A gas company charges a standing charge plus a rate per unit used. The total cost, y in pounds, for using x units is given by y = 0.15x + 20. Work out the cost of using 200 units.

6.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.

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

8.A graph shows the total monthly cost of a mobile phone tariff against the number of minutes of calls. The line starts at £12 and stays level until 200 minutes, then rises by 5p for each further minute of calls. Use the graph to work out the total cost of a month in which 250 minutes of calls are made.

9.Make m the subject of the formula w = m − 8.

10.Work out the value of 2x² when x = −3

11.Solve x² = 81.

12.Isla says that the lines y = 2x + 1 and y = −2x + 3 are parallel. Write down the statement that gives the correct answer for the correct reason.

13.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.

14.The solution set of x ≥ −1 is drawn on a number line. Which description of that number line is correct?

15.Make a the subject of the formula b = 20 − a.