Formulas Flashcards
(58 cards)
1
Q
Percent Increase
A
amount of increase/base
2
Q
percent decrease
A
amount of decrease/base
3
Q
ca+cb
A
c(a+b)
4
Q
ca-cb
A
c(a-b)
5
Q
(a+b)^2
A
a2+2ab+b2
6
Q
a^2-b^2
A
(a+b)(a-b)
7
Q
(a+b)^3
A
a3-3a^2b+3ab^2+b^3
8
Q
X^-a
A
1/Xa
9
Q
(X^a)(X^b)
A
X^a+b
10
Q
X^a/X^b
A
X^a-b, 1/X^b-a if negative
11
Q
X^0
A
1
12
Q
(X^a)(Y^a)
A
(xy)^a
13
Q
(X^a/Y)
A
X^a/Y^a
14
Q
(X^a)^b
A
X^ab
15
Q
Quadratic formula
A
-b±√(b²-4ac))/(2a)
16
Q
Distance formula
A
d=rt
17
Q
simple annual interest
A
V=P(1+rt/100)
18
Q
P in interest formula
A
amount invested
19
Q
r in interest formula
A
percent
20
Q
annual interest compounded annually
A
V=P(1+r/100)^t
21
Q
annual interest compounded n times per year
A
V=P (1+r/100n)^nt
22
Q
quadrant 1
A
+,+
23
Q
Quadrant 2
A
-,+
24
Q
Quadrant 3
A
-,-
25
Quadrant 4
+,-
26
parallel lines on graph
slopes are equal
27
perpendicualr lines on graph
slopes are negative reciprocals
28
graph of circle
(x−a)^2+(y−b)^2=r2.
29
center of circle
(a,b)
30
h(x)+c
shifted up c units
31
h(x)-c
shifted down c units
32
h(x+c)
shifted left c units
33
h(x-c)
shifted right c units
34
the measure of interior angles of an n-sided polygon
(n-2)(180)
35
equilateral triangle angles
60
36
isoceles triangle
two congruenet sides, angles of sides are equal
37
pythagorean theorem
C^2=A^2+B^2
38
Area of triangle
A=bh/2
39
Area of trapezoid
A=1/2(b1+b2)h
40
circumference
C=2pir
41
length of arc
length/C = Angle of arc/360
42
area of circle
PiR^2
43
Area of sector
S/piR^2 = angle of arc/360
44
volume of rectangualr solid
V=lwh
45
SA of rectangular solid
2(lw +lh +wh)
46
Volume of cylinder
V= pir^2h
47
SA of cylinder
2(pir^2) + 2pirh
48
first quartile
Median of first half
49
second quartile
median
50
thrid quartile
median of second half
51
interquatile range
q3-q1
52
Permutations n objects taken r at a time
(n,r) = n! ÷ (n-r)!
53
combinations
nCr = n! / r! * (n - r)!
54
P(E or F)
P(E) + P(F) - P( E and F)
55
P (E or F) mutually exculsive
P(E) + P(F)
56
Independent P(E or F)
P(E)P(F)
57
n-factorial
n!
1!= 1
2!= (2)(1)
3!= (3)(2)(1)
58