© Prep101
Equation Sheet – Math 102
The Basics
Quadratic Formula:
The roots of the polynomial
c
bx
ax
+
+
2
are given by
a
ac
b
b
x
2
4
2
−
±
−
=
Difference of Squares:
The factors of the polynomial
2
2
a
x
−
are
)
)(
(
a
x
a
x
+
−
Distance formula:
The distance between the points
P
1
(x
1
, y
1
)
and
P
2
(x
2
,y
2
)
is
2
1
P
P
=
(
)
(
)
2
2
1
2
2
1
y
y
x
x
−
+
−
Point-Slope Form of Equation of a Line:
An equation of the line passing through the
point
P
1
(x
1
, y
1
)
and having slope
m
is
y-y
1
= m
(
)
1
x
x
−
Slope-Intercept Form of the Equation of a line:
An equation of the line with slope
m
and
y
-intercept
b
is
y = mx + b
Pythagorean Theorem
2
2
2
c
b
a
=
+
Where
c
is the hypotenuse.
Triangle
(
)(
)
height
base
A
2
1
=
Rectangle
(
)(
)
width
length
A
=
Circle
2
r
A
π
=
r
C
π
2
=
Box
)
)(
)(
(
height
width
length
V
=
wh
lh
lw
SA
2
2
2
+
+
=