Formulas Flashcards
Percent Increase
amount of increase/base
percent decrease
amount of decrease/base
ca+cb
c(a+b)
ca-cb
c(a-b)
(a+b)^2
a2+2ab+b2
a^2-b^2
(a+b)(a-b)
(a+b)^3
a3-3a^2b+3ab^2+b^3
X^-a
1/Xa
(X^a)(X^b)
X^a+b
X^a/X^b
X^a-b, 1/X^b-a if negative
X^0
1
(X^a)(Y^a)
(xy)^a
(X^a/Y)
X^a/Y^a
(X^a)^b
X^ab
Quadratic formula
-b±√(b²-4ac))/(2a)
Distance formula
d=rt
simple annual interest
V=P(1+rt/100)
P in interest formula
amount invested
r in interest formula
percent
annual interest compounded annually
V=P(1+r/100)^t
annual interest compounded n times per year
V=P (1+r/100n)^nt
quadrant 1
+,+
Quadrant 2
-,+
Quadrant 3
-,-
Quadrant 4
+,-
parallel lines on graph
slopes are equal
perpendicualr lines on graph
slopes are negative reciprocals
graph of circle
(x−a)^2+(y−b)^2=r2.
center of circle
(a,b)
h(x)+c
shifted up c units
h(x)-c
shifted down c units
h(x+c)
shifted left c units
h(x-c)
shifted right c units
the measure of interior angles of an n-sided polygon
(n-2)(180)
equilateral triangle angles
60
isoceles triangle
two congruenet sides, angles of sides are equal
pythagorean theorem
C^2=A^2+B^2
Area of triangle
A=bh/2
Area of trapezoid
A=1/2(b1+b2)h
circumference
C=2pir
length of arc
length/C = Angle of arc/360
area of circle
PiR^2
Area of sector
S/piR^2 = angle of arc/360
volume of rectangualr solid
V=lwh
SA of rectangular solid
2(lw +lh +wh)
Volume of cylinder
V= pir^2h
SA of cylinder
2(pir^2) + 2pirh
first quartile
Median of first half
second quartile
median
thrid quartile
median of second half
interquatile range
q3-q1
Permutations n objects taken r at a time
(n,r) = n! ÷ (n-r)!
combinations
nCr = n! / r! * (n - r)!
P(E or F)
P(E) + P(F) - P( E and F)
P (E or F) mutually exculsive
P(E) + P(F)
Independent P(E or F)
P(E)P(F)
n-factorial
n!
1!= 1
2!= (2)(1)
3!= (3)(2)(1)