Printable · GCSE Foundation · ages 14-16
Gradients and intercepts of linear functions worksheet — GCSE Foundation
Fifteen questions on "gradients and intercepts of linear functions" — DfE statement A10. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Gradients and intercepts of linear functions worksheet — GCSE Foundation
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- 1.The line y = 3x + 6 meets the x-axis at one point. Work out the coordinates of that point.y = 3x + 6
- 2.A printer starts a job with 480 sheets of paper loaded and prints at a steady rate. The number of sheets left, S, after t minutes is given by S = 480 − 24t. Work out how many minutes it takes for the paper to run out completely.
- 3.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 4.Line C passes through (0, 0) and (4, 2). Line D passes through (0, 0) and (2, 2). Write down which of the two lines is the steeper.
- 5.Work out the gradient of the straight line with equation 2x + y = 8.
- 6.A candle is 30 cm tall when lit and burns at a constant rate. After burning for 5 minutes, its height is 20 cm. The height h cm after t minutes is given by h = 30 − mt. Work out the value of m.
- 7.A car passes the 15 km marker on a road and passes the 195 km marker 3 hours later. Work out the gradient of the distance-time graph, that is the rate of change of distance with time.
- 8.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 9.A tank already contains some water and is then filled at a constant rate. After 2 minutes it contains 50 litres in total; after 7 minutes it contains 150 litres in total. Work out the rate at which water is added, in litres per minute.
- 10.Work out the gradient of the straight line that passes through the points (−1, 5) and (3, −7).
- 11.A water tank empties according to y = −5x + 200, where y is the number of litres left after x minutes. Work out the coordinates of the point where this graph crosses the x-axis.y = -5x + 200
- 12.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 13.Work out the gradient of the straight line with equation 3y = 12 − 6x.
- 14.Write down the gradient of the line with equation y = 6 + 4x.
- 15.A mobile phone plan charges a fixed monthly fee plus an amount for each gigabyte of data used. The total cost £C for using g gigabytes in a month is given by C = 15 + 2g. What does the number 2 represent in this formula?
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