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- Mathematics 148
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- Math Equations and Rules

courtney s.

distance formula

d=(radical) (x1-x2)^2 + (y1-y2)^2

quadratic formula

b (+ or -)(radical b^2-4ac)/2

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midpoint formula

(x1+x2)/2, (y1+y2)/2

difference of cubes

(A-B)(A^2+AB+B^2)

square of binomial sum

(A+B)^2=A^2+2AB+B^2

(a^m)^n = ?

a^mn

(a^m)(a^n)= ?

a^m+n

a^m/a^n= ?

a^m-n

difference of squares

A^2-B^2=(A+B)(A-B)

simple interest

I=Prt (also annual interest)

uniform motion

d=rt

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Farenheight to Celcius

F=9/5C+32

interest amount

A=P(1+r/n)^nt

annual interest

A=P(1+r)^t

compound\continuous interest

A=Pe^rt

multiplicity

-even touches x-axis

-odd crosses x-axis

odd multiplicity

pos leading coefficient - upward to the right

neg leading coeffeicient - upward to the left

even multiplicity

positive leading coefficient - upwards on both sides

negative leading coefficient - downards on both sides

domain of the variable

the set of all real numbers for which both sides of the equation are defined

conditional equation

not an ID but is satisfied by at least one real number

inconsistant equation

equation that no number satisfies

standard form

ax+b=0

rational equasion

at least one rational expression

extraneous solution

satisfies new but not old equation, always check all solutions to reject extraneous

mathematical modeling

process of translating a practical prob into a mathematical one

rate of work

portion of a job finished per unit of time

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