1. ## Rearranging Formulae

Fellow mathematicians,

I've started a slighly advanced form of rearranging formulae in which the subject of the formulae occurs more than once. Basically i have been searching through all my mathematics books and browsing throughout the Internet for questions which may appear in my examination. For example,

1.Make P the subject of the formula. A = L(1/2P - L).Do i use the BIDMAS then leaving the bracket and multipy by 2?
2.Make t the subject of the formula. 3t - s = t(s- 6). For this i got t= ts^2/ 9
3.Make u the subject of the formula. s = ut + 1/2at^2

but i've found these ones which include more than 1 subject. I find these rather intimidating. How do i solve these?

4.Make y the subject of the formula. a = y + 1/ y
5.Make x the subject of the formula. q = x^2 + p/ x^2 - p
6.Make a the subject of the formula. a+b = c(a+c)

And just one last one:

1. Make p the subject of these:
a) p/p+y = y

Someone told me that this one is to do with inverse but i'm not entirely sure what he meant. The only time i've dealt with inverse was in trigonometry.

2. Could anyone please help? I basically only need help with the questions which have two or more subjects. Many thanks and all comments are very much appreciated.

3. Why are you trying to do this? What is the underlying reason for it. Rearranging in terms of a variable is easy, but I had to ask why you are doing it?