Substitution into formulae worksheet — GCSE Foundation

1.Work out the value of m² + 3m when m = −2

2.Work out the value of (x − 4)/2 + 3 when x = 10

3.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.

4.The braking distance of a car, in metres, is estimated using the formula d = 0.4v² + 6, where v is the speed in mph. A car travelling at 35 mph brakes. Work out the estimated braking distance.

5.The formula for the energy stored in a stretched spring is E = (1/2)kx², where E is in joules, k is the spring constant in N/m and x is the extension in m. A spring with a spring constant of 40 N/m is stretched so that its extension is 0.3 m. Work out the energy stored in the spring.

6.Work out the value of 5m² + 3m when m = −2.4

7.Grace says that 2(x + 1) and 2x + 2 always have the same value. Work out the value of both expressions when x = 3.

8.On Monday, a runner covers 15 km in 2.5 hours. On Tuesday, she covers 12 km in 1.5 hours. Using the formula speed = distance ÷ time, work out on which day she ran faster, and by how much.

9.The formula connecting speed, distance and time is v = s ÷ t. Work out v, in km/h, when s = 180 and t = 4.

10.Work out the value of 3n − 2 when n = 1

11.Work out the value of 5y + 9 when y = 0

12.Work out the value of n² − n when n = −3

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

14.The volume of a cuboid is given by the formula V = lwh. Work out V, in cm³, when l = 2, w = 3 and h = 6.

15.A taxi fare in pounds is given by F = 2.50 + 1.20m, where m is the number of miles travelled. Sam takes a taxi for a journey of 6 miles. Work out the fare.