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# Equations and Formulae

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## Mr Mattock

on 12 January 2018

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#### Transcript of Equations and Formulae

Equations and Formulae
Starter
v = u + at

Find the value of v if:

(a) u = 3, a = 5, t = 2
(b) u = -4, a = 2, t = 10
(c) u = -5, a = 0.5, t = -8
Example
A plumber uses the formula C = 25h + 30 to work out how much to charge customers, based on the number of hours she works.

(a) The plumber works for 3 hours. Work out how much she charges.

(b) The plumber does a job that costs £135. Work out how long the job takes. Give your answer in hours and minutes.
Example
v = u + at

(a) Find u if v = 13, a = 2 and t = 3

(b) Find a if v = 4, u = 19 and t = 5.
L.O. - To substitute into formulae and use equation solving to find values.
Starter
v = u + at

Find the value of v if:

(a) u = 3, a = 5, t = 2
v = 13
(b) u = -4, a = 2, t = 10
v = 16
(c) u = -5, a = 0.5, t = -8
v = -9
Example
v = u + at

(a) Find u if v = 13, a = 2 and t = 3
13 = u + 6

u = 7

(b) Find a if v = 4, u = 19 and t = 5.
4 = 19 + 5a

-15 = 5a

-3 = a
Example
A plumber uses the formula C = 25h + 30 to work out how much to charge customers, based on the number of hours she works.

(a) The plumber works for 3 hours. Work out how much she charges.
C = 25(3) + 30

C = 75 + 30

C = 105

(b) The plumber does a job that costs £135. Work out how long the job takes. Give your answer in hours and minutes.

135 = 25h + 30

105 = 25h

4.2 = h

4 hours 12 minutes = h
Activity
Complete the equations and formulae worksheet
Activity
Complete the equations and formulae worksheet
1. p = 1
2. t = 5
3. n = 2
4. p = 28
5. p = 0.125
6. t = 0.142857...
7. a = 1.2
8. b = 0.75
9. p = 1.5
10. p = 3.3333...
1. p = 0.75
2. k = 10/13
3. w = 2/3
4. p = 0.5
5. m = -2
6. g = 1.25
7. a = 2/3
8. t = 1
9. c = 3
10. w = 1.25
1. a = 0.8
Plenary
Plenary
1)
(a) 70 mins
(b) 100 mins
(c) 17 lb

2)
(a) c = 165
(b) c = 305
(c) n = 25
Activities
Activity