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Area of a triangle
A=1/2bXh


AREA OF TRAPEZOID
A=1/2(a+b)Xh(VERTICAL HEIGHT)


AREA OF SQUARE
A=a^2 a=LENGTH OF SIDE

AREA OF PARRALELOGRAM
A=bXh


AREA OF SECTOR
A=1/2r^2x(ANGLE OF RADIANS)

integers
allnnumbers with no fractional or decimal parts

IF NUMERATORS ARE THE SAME
FRACTION WITH SMALLER DEN WILL HAVE LARGER VALUE

IF DENOMINATORS ARE SAME
FRACTION WITH LARGER NUMERATOR WILL HAVE LARGER VALUE







NUMBER DIV BY 2
LAST DIGIT IS DIVISIBLE BY 2

NUMBER IS DIVISIBLE BY 3 IF
SUM OF DIGITS IS DIVISIBLE BY 3

NUMBER IS DIV BY 4 IF
 LAST 2 DIGITS ARE DIVISIBLE BY 4
 EX 1748 IS BECAUSE 48 IS

NUMBERS IS DIV BY 5 IF
LAST DIGIT IS 0 OR 5

NUMBER IS DIV BY 6 IF
IT IS DIVISIBLE BY 2 AND 3 BOTH

NUMBER IS DIV BY 9 IF
IF SUM OF ITS DIGITS IS DIVISIBLE BY 9

NUMBER IS DIV BY 10 IF
LAST DIGIT IS 0

NUMBER IS DIV BY 12 IF
IT IS DIVISBLE BY 3 AND 4

SUM OF VALUES
SUM OF VALUES = AVERAGE VALUExNUMBER OF VALUES

AVERAGE A PER B
AVERAGE A PER B= TOTAL A/TOTAL B

MULT 2 TERMS W SAME BASE
X^3*X^3

TO DIVIDE 2 TERMS W SAME BASE
4^4/4^2
 KEEP THE BASE AND SUBTRACT THE EXPONENT FROM DEN FROM EXP OF NUMERATOR
 4^2

TO RAISE A POWER TO ANOTHER POWER
(3^2)^4

ANY NON ZERO NUMBER RAISED TO POWER OF ZERO
1

NEGATIVE EXPONENT
2^3
 INDICATES A RECIPROCAL TAKE RECIPROCAL OF BASE AND CHANGE SIGN OF EXPONENT
 1/2^3

Simple Interest
 I=PRT
 time is in years and rate is in decimal form

Simple Interest Amounts
A=P(1+rt)

Compound Interest
 A=P(1+r/c)^tc
 c= #of times compounded annually
 r=decimal
 t=time in years


Quadratic formula
 ax^2+bx+c=0
 a,b,c are real numbers
 a doesn't equal 0
 x=b+ or  Square root of B squared4ac /2a

rules of inequalities
if inequalities is multiplied or divided by a neg # the direction of the inequality is reversed.

change in slope of line
change in y/change in x

parrallel lines s perpendicular lines
same slope vs neg reciprocals

domain vs range
x values vs yor f(x) values





iscoceles triangle
has 2 sides of equal length. sides are legs and third side is base. Angles opposite the legs have same measure

equilateral triangles
3 sides of equal length and 60degree angles.

similar triangles
 same shape and corresponding angles have same measure ex: any 306090 triangles are similar.
 ratio of areas of 2 similar triangles is square of ratio of corresponding lengths.

congruent triangles
corresponding angles have same measure and sides have same length

special right triangles
 3:4:5
 5:12:13
 1:1:square root of 2/(454590)hyp=sq rt of 2, legs r 1
 1:square root of 3:2 is (306090)hyp=2 opposite 30=1 andsq rt of 3 opposite 60 degree

COMBINATION FORMULA
 C=n/K(nk)
 n=TOTAL # OF ITEMS
 k=# TO BE CHOSEN

INTERIOR ANGLES OF POLYGONS


CIRCUMFRENCE OF CIRCLE
=2PIEr

ARC LENGTH
=n/360*CIRCUMFERENCE

AREA OF SECTOR
=n/360*AREA OF CIRCLE

VOLUME OF RECTANGLULAR SOLID
vs surface area
 v=area of base*height=length*width*height
 surface area=sum of arease of faces=2lw+2lh+2wh

volume of cube (all equal sides)vs
surface area

volume of cylinder
pie*r^2*h

surface area of cylinder
2(pie*r^2)+2*pie*r*h

Sum of avg of numbers
sum of numbers/n=avg of numbers

