Math Formulas Flashcards
(54 cards)
1
Q
slope of horizontal line
A
0
1
Q
slope
A
+ up to the right
- up to the left
perpendicular: opposite reciprocal
parallel: same
2
Q
slope of vertical line
A
undefined
3
Q
standard form of slope
A
ax=by=c
m=-a/b
4
Q
perimeter of a rectangle
A
2w+2l
5
Q
area of a rectangle
A
lw
6
Q
volume of a rectangle
A
lwh
7
Q
mean
A
average, add up terms, divide by # of terms
8
Q
median
A
order the terms, find the middle term
9
Q
range
A
max-min
10
Q
mode
A
most common term
11
Q
X^a x X^b=
A
X^a=b
12
Q
(X^a)^b
A
X^ab
13
Q
x^a/ X^b
A
x^a-b
14
Q
x^0
A
1
15
Q
x^-a
A
1/x^a
16
Q
(x)^a/b
A
b√x^a
17
Q
area of a triangle
A
1/2bh
18
Q
distance
A
d=rt
d=√(x2-x1)^2+(y2-y1)2
19
Q
log form to exponent form
A
loga (b) = c
a^c=b
20
Q
loga(b) + loga(c)=
A
loga (bc)
21
Q
loga(b^c)=
A
c log a(b)
22
Q
loga(b/c)
A
loga(b)-loga(c)
23
Q
loga(1)
A
0
24
loga(a)
1
25
loga(a^c)
c
26
a^loga(c)
c
27
i
√-1
28
i^2
-1
29
area of a circle
A=πr^2
30
circumfrence of a circle
c=2πr
31
formula for a circle
(x-h)^2+(y-k)^2=r^2
32
volume of a cylinder
πr^2h
33
volume cone
1/3πr^2h
34
surface area of a cone
πr^2+πrs
s= slant height
35
matrices
multiplying: inner dimensions must match
adding: must have same dimensions
row x column
36
vertical asymptope
to find, set denominator = zero, solve for x
37
hole
if a factor cancels, it causes a hole, plug in x value to find y value
38
horitzontal asymptope
bottom heavy: y=0
top heavy: no HA
same: divide leading coefficents
39
slant asymptope
if the degree in numerator is one more than the denominator; use long division to find the slant asymptope
40
area of a parallelogram
A=bh
41
area of a trapezoid
A=1/2(b1+b2)h
42
domain
x values
43
range
y values
44
equation of a horizontal elipse
(x-h)^2/a^2 + (y-k)^2/b^2
a: horixontal distance from center
b: vertical distance from center
45
equation of a vertical elipse
(x-h)^2/b^2 + (y-k)^2/a^2=1
46
difference of cubes: a^3-b^3
(a-b)(a^2+ab+b^2)
47
sum of cubes: a^3+a^4
(a+b)(a^2-ab+b^2)
48
compound interest
A=P(a+r/n)^nt
49
discriminant
b^2-4ac
if its >0, 2 real solutions
x<0, no real solutions
x=o, 1 real solution
50
standard deviation
typical distance from the mean
51
rational numbers
can be a decimal: has to terminate or repeat
52
irrational numbers
non repeating and non-terminating decimals (ex π)
53
factorials
4!= 4x3x2x1
