s v t T Madas An equation is

s v t © T Madas

An equation is an algebraic expression of equality, which involves numbers and one letter A formula is an algebraic expression of equality, which involves numbers and two or more letters © T Madas

v = u + at • Rearrange the formula for t • Solve the formula for t • Make t the subject of the formula v – u t = a © T Madas

A Friendly Triangle © T Madas

First learn how to fill it in © T Madas

Using a special triangle to rearrange formulae d s= t a c= h d s t a c h © T Madas

Using a special triangle to rearrange formulae m ρ= V F P= A m ρ V F P A © T Madas

Using a special triangle to rearrange formulae S S =v t t v F F =m a © T Madas

Using a special triangle to rearrange formulae A A =b h W W =m g © T Madas

Now we are ready to use this triangle © T Madas

Rearrange the formula M D= V , for M M D V M=D x V M = DV © T Madas

Rearrange the formula M D= V , for V M D V M V= D © T Madas

Rearrange the formula a c= h , for a a c h a= c xh a = ch © T Madas

Rearrange the formula a c= h , for h a c h a h= c © T Madas

Rearrange the formula d s= t , for d d s t d= s xt d = st © T Madas

Rearrange the formula d s= t , for t d s t d t= s © T Madas

Rearrange the formula F = ma, for m F F =m a F m= a © T Madas

Rearrange the formula F = ma, for a F F =m a F a= m © T Madas

Other Methods For Rearranging Formulae © T Madas

All the rules of equations hold formulae © T Madas

© T Madas

An aeroplane covered 3600 miles in 8 hours, a biker travelled for 2¼ hours at an average speed of 16 mph and a car travelled 210 miles at an average speed of 40 mph. Calculate: 1. 2. 3. The average speed of the aeroplane The distance covered by the biker The time taken by the car av. speed = distance 3600 = = 450 mph 8 time distance = av. speed x time 16 x 2¼ = = 40 miles time = d s t distance 210 = = 7. 5 hours 40 av. speed © T Madas

© T Madas

A certain Buddha statuette can be bought in solid bronze, silver or gold cast, all having identical volume but different masses. The following table shows some of the data about the statuette. Complete this table of data Mass (grams) 504 675 Volume (cm 3) m d= v m = dv 18. 5 c mass volume 8. 4 c density = c Density (g/cm 3) v= m d v © T Madas

A certain Buddha statuette can be bought in solid bronze, silver or gold cast, all having identical volume but different masses. The following table shows some of the data about the statuette. Complete this table of data Mass (grams) 504 675 Volume (cm 3) Density (g/cm 3) m d= v 8. 4 m = dv 18. 5 m v= d © T Madas

A certain Buddha statuette can be bought in solid bronze, silver or gold cast, all having identical volume but different masses. The following table shows some of the data about the statuette. Complete this table of data Mass (grams) 504 675 Volume (cm 3) 60 60 Density (g/cm 3) 8. 4 m d m = dv c v= 18. 5 v= 504 8. 4 m v= d c m d= v 60 v = 60 cm 3 © T Madas

A certain Buddha statuette can be bought in solid bronze, silver or gold cast, all having identical volume but different masses. The following table shows some of the data about the statuette. Complete this table of data Mass (grams) 504 675 Volume (cm 3) 60 60 60 Density (g/cm 3) 8. 4 11. 25 18. 5 m v d= m = dv 675 60 c d= c m d= v m v= d d = 11. 25 g/cm 3 © T Madas

A certain Buddha statuette can be bought in solid bronze, silver or gold cast, all having identical volume but different masses. The following table shows some of the data about the statuette. Complete this table of data Mass (grams) 504 675 1110 Volume (cm 3) 60 60 60 Density (g/cm 3) 8. 4 11. 25 18. 5 m = dv m = 60 x 18. 5 m v= d c m = dv c m d= v m = 1110 g © T Madas

© T Madas