Math Formulas

Question 1

slope of horizontal line

Answer 1

0

Question 1

slope

Answer 1

+ up to the right
- up to the left
perpendicular: opposite reciprocal
parallel: same

Question 2

slope of vertical line

Answer 2

undefined

Question 3

standard form of slope

Answer 3

ax=by=c
m=-a/b

Question 4

perimeter of a rectangle

Answer 4

2w+2l

Question 5

area of a rectangle

Answer 5

lw

Question 6

volume of a rectangle

Answer 6

lwh

Question 7

mean

Answer 7

average, add up terms, divide by # of terms

Question 8

median

Answer 8

order the terms, find the middle term

Question 9

range

Answer 9

max-min

Question 10

mode

Answer 10

most common term

Question 11

X^a x X^b=

Answer 11

X^a=b

Question 12

(X^a)^b

Answer 12

X^ab

Question 13

x^a/ X^b

Answer 13

x^a-b

Question 14

x^0

Answer 14

1

Question 15

x^-a

Answer 15

1/x^a

Question 16

(x)^a/b

Answer 16

b√x^a

Question 17

area of a triangle

Answer 17

1/2bh

Question 18

distance

Answer 18

d=rt
d=√(x2-x1)^2+(y2-y1)2

Question 19

log form to exponent form

Answer 19

loga (b) = c
a^c=b

Question 20

loga(b) + loga(c)=

Answer 20

loga (bc)

Question 21

loga(b^c)=

Answer 21

c log a(b)

Question 22

loga(b/c)

Answer 22

loga(b)-loga(c)

Question 23

loga(1)

Answer 23

0

Question 24

loga(a)

Answer 24

1

Question 25

loga(a^c)

Answer 25

c

Question 26

a^loga(c)

Answer 26

c

Question 27

i

Answer 27

√-1

Question 28

i^2

Answer 28

-1

Question 29

area of a circle

Answer 29

A=πr^2

Question 30

circumfrence of a circle

Answer 30

c=2πr

Question 31

formula for a circle

Answer 31

(x-h)^2+(y-k)^2=r^2

Question 32

volume of a cylinder

Answer 32

πr^2h

Question 33

volume cone

Answer 33

1/3πr^2h

Question 34

surface area of a cone

Answer 34

πr^2+πrs
s= slant height

Question 35

matrices

Answer 35

multiplying: inner dimensions must match
adding: must have same dimensions
row x column

Question 36

vertical asymptope

Answer 36

to find, set denominator = zero, solve for x

Question 37

hole

Answer 37

if a factor cancels, it causes a hole, plug in x value to find y value

Question 38

horitzontal asymptope

Answer 38

bottom heavy: y=0
top heavy: no HA
same: divide leading coefficents

Question 39

slant asymptope

Answer 39

if the degree in numerator is one more than the denominator; use long division to find the slant asymptope

Question 40

area of a parallelogram

Answer 40

A=bh

Question 41

area of a trapezoid

Answer 41

A=1/2(b1+b2)h

Question 42

domain

Answer 42

x values

Question 43

range

Answer 43

y values

Question 44

equation of a horizontal elipse

Answer 44

(x-h)^2/a^2 + (y-k)^2/b^2
a: horixontal distance from center
b: vertical distance from center

Question 45

equation of a vertical elipse

Answer 45

(x-h)^2/b^2 + (y-k)^2/a^2=1

Question 46

difference of cubes: a^3-b^3

Answer 46

(a-b)(a^2+ab+b^2)

Question 47

sum of cubes: a^3+a^4

Answer 47

(a+b)(a^2-ab+b^2)

Question 48

compound interest

Answer 48

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

Question 49

discriminant

Answer 49

b^2-4ac
if its >0, 2 real solutions
x<0, no real solutions
x=o, 1 real solution

Question 50

standard deviation

Answer 50

typical distance from the mean

Question 51

rational numbers

Answer 51

can be a decimal: has to terminate or repeat

Question 52

irrational numbers

Answer 52

non repeating and non-terminating decimals (ex π)

Question 53

factorials

Answer 53

4!= 4x3x2x1