Algebra

1
Algebra
Rearranging Formulas

• EASY When you know how!!!

A.Hassack.
2
Rearranging Formulas (Transposition of formulae)

• RULE 1
• We can pick terms up and move them across the
  sign quite easily but remember that they must
  do the opposite on the other side!!
• E.g. Make R the subject

THINK What is the I doing to the R?
V

I
R
V
I
R

If it is multiplying on RHS,
on LHS it will do opposite - dividing
3
Rearranging Formulas (Transposition of formulae)

• Another
• Remember, we can pick terms up and move them
  across the sign quite easily, but remember
  that they must do the opposite on the other
  side!!
• E.g. Make F the subject

THINK What is the A doing to the F?
P

F
A
P

F
If it is dividing on RHS,
A
on LHS it will do opposite - multiplying
4
Rearranging Formulas (Transposition of formulae)

• Make a the subject of the formula

v

u

a
t
v

u
a
t
-

Take the t across and divide!
t
a

u
-
v
5
Getting harder!!! (not really)

• RULE 2

Dealing with fractions
2

1
E
v
m
Think of them as one number divided by another
number.
2
To get rid of the 2, take it across and multiply
6
Getting harder!!! (not really)
Squares and square roots

• RULE 3

So.make v the subject
1
2
E
m

v

• Deal with the fraction.
• Move the m
• Then deal with the square

2
2
E

1
v
m
2
2

2
E
v
m
2
E
v
2

m
Q'sPage 21, 1-12
7
Rearranging Formulas (Transposition of formulae)

• Now for a toughy! Make l the subject.

T

2
l
p
g
T

l
g
(
)
2
T

l
g
p
2
(
)
2
T

l
g
p
2
8
Rearranging Formulas (Transposition of formulae)
Rule 4
These babies need to be factorised!
Make x the subject
Hmm, x appears twice, I only want it to appear
once!
A

2
x

x
y
FACTORISE