Math 102 Formulas
Prerequisite Formulas
Formulas of special importance that students are expected to know upon
entering this course:
- Geometric Formulas
Square
Rectangle
Triangle
Area
Perimeter
A  s2
A  lw
1
A  (bh)
2
P  4s
P  2l  2w
P  a bc
- Sum of the Angles in a triangle
A  B  C  180
- Square of a Binomial
(a  b) 2  a 2  2ab  b 2
- Pythagorean Theorem
a 2  b 2  c2
Course Formulas
Formulas that students are required to memorize in this course:
Chapter 5
- Factoring Formulas
Difference of Squares
Sum and Difference of Cubes
a 2  b 2  (a  b)(a  b)
a 3  b 3  (a  b)(a 2  ab  b 2 )
Chapter 6
- Distance, rate, time
d rt , r  d / t , t  d / r
Chapter 7
m
- Slope of a Line
y 2  y1
x 2  x1
- Forms of Linear Equations
y  y1  m( x  x1 )
y  mx  b
Point-slope form
Slope-intercept form
General form
Horizontal line
Vertical line
Ax  By  C  0
yc
xc
Chapter 8
I  prt
- Simple Interest
Chapter 9
 x if x  0

x 
 x if x  0

- Absolute Value of x
Chapter 10
a2  a
- Principal Square Root of a 2
- Fractional Exponents
1
an
n a
m
an
 n a m  (n a ) m
a

m
n

1
m
an
Chapter 10 - cont.
- Laws of Radicals
n
a n  (n a ) n  a
n
a n b  n ab
n
a n a

b
b
n
mn
- Imaginary Unit
a  mn a
i 
1
(i 2   1)
Chapter 11
- Quadratic Formula
If ax  bx  c  0,
2
then
b  b 2  4ac
x
2a
- Forms of Quadratic Functions
General Form
Standard Form
- Line of Symmetry for a Parabola
y  ax 2  bx  c
y  a( x  h) 2  k
x
b
2a
Chapter 13
- Distance Formula
d  ( x 2  x1 ) 2  ( y 2  y1 ) 2
- Midpoint Formula
y  y2 
 x1  x 2
, 1


 2
2 