TRANSFORMING
FORMULA
VARIABLES ON BOTH SIDES
LITERAL EQUATION
"solving literal equations" is
another way of saying, "taking
an equation with lots of letters,
and solving for one letter in
particular."
Examples of LITERAL
EQUATIONS
d= rt
d=distance
r=rate
t=time
A= ½(bh)
P= 2w + 2l
A=area of a triangle P=perimeter
b=base
w=width
h=height
l=length
Solving Literal Equations
d= rt
d=distance
r=rate
t=time
Solve for t
d= rt
r r
d= t
r
t =d
r
Solve for r
d= rt
t t
d= t
t
r =d
t
A= ½(bh)
A=area of a triangle
b=base
h=height
Solve for b
A = ½ (bh)
(2) A = ½ (bh) (2)
2A = (bh)
h
h
2A = b
h
b = 2A
h
YOUR TURN!
A= ½(bh)
Solve for h
A=area of a triangle
b=base
h=height
h = 2A
b
P= 2w + 2l
P=perimeter
w=width
l=length
Solve for l
P = 2w + 2l
-2w -2w
P -2w =
2l
2
2
P -2w = l
2
Solve the following literal
equations and write each
step made
m = ⅓ (t + e)
Solve for t
b = 6k + 4d
Solve for d
t= 3m-e
d=(b-6k)
4
Homework
X = 4a + s
Solve for a
X = 4a + s
Solve for s
m = ⅓ (t + e)
Solve for t
a= x - s
s= x - 4a
t= 3m-e
h = ⅓k - w
Solve for k
h = ⅓k - w
Solve for w
b = 6k + 4d
Solve for d
w=h - ⅓k
d=(b-6k)
4
k=3(h+w)
4