quadratic formula - ANSWER [-b ± √(b² - 4ac)] / (2a)
slope formula - ANSWER (y₂- y₁) / (x₂- x₁)
integers - ANSWER ..., -3, -2, -1, 0, 1, 2, 3, ...
rationals - ANSWER fractions (anything expessable as a ratio of integers)
reals - ANSWER integers, rationals, plus special #s (like √2 or pi)
order of opperations - ANSWER PEMDAS (Parentheses / Exponents / Multiply / Divide /
Add / Subtract)
Arithmetic Sequences - ANSWER t₁, t₁+ d, t₁+2d, ...
Geometric Sequences - ANSWER t₁, t₁· r, t₁· r², ...
Factors - ANSWER ex. factors of 52 are 2, 4, 13, and 26
Multiples - ANSWER ex. multiples of 20 are 40, 60, 80, 100, ...
percentages - ANSWER part = (percent / 100) x whole
average - ANSWER average = sum of terms / number of terms
1
, average speed - ANSWER average speed = total distance / total time
sum - ANSWER sum = average x (number of terms)
mode - ANSWER mode = value in the list that appears most often
median - ANSWER median = middle value in the list
fundamental counting principle - ANSWER if an event can happen in N ways, and an-
other, independent event can happen in M ways, then both events together can happen in N
x M ways.
probability - ANSWER probability = number of desired outcomes / number of total out-
comes
adding exponents - ANSWER x^a · x^b = x^(a+b)
subtracting exponents - ANSWER x^a / x^b = x^(a-b)
negative exponents - ANSWER 1 / x^b = x^(-b)
multiplying exponents - ANSWER (x^a)^b = x^(a·b)
x^0 - ANSWER 1
roots - ANSWER √(xy) = √x · √y
2
slope formula - ANSWER (y₂- y₁) / (x₂- x₁)
integers - ANSWER ..., -3, -2, -1, 0, 1, 2, 3, ...
rationals - ANSWER fractions (anything expessable as a ratio of integers)
reals - ANSWER integers, rationals, plus special #s (like √2 or pi)
order of opperations - ANSWER PEMDAS (Parentheses / Exponents / Multiply / Divide /
Add / Subtract)
Arithmetic Sequences - ANSWER t₁, t₁+ d, t₁+2d, ...
Geometric Sequences - ANSWER t₁, t₁· r, t₁· r², ...
Factors - ANSWER ex. factors of 52 are 2, 4, 13, and 26
Multiples - ANSWER ex. multiples of 20 are 40, 60, 80, 100, ...
percentages - ANSWER part = (percent / 100) x whole
average - ANSWER average = sum of terms / number of terms
1
, average speed - ANSWER average speed = total distance / total time
sum - ANSWER sum = average x (number of terms)
mode - ANSWER mode = value in the list that appears most often
median - ANSWER median = middle value in the list
fundamental counting principle - ANSWER if an event can happen in N ways, and an-
other, independent event can happen in M ways, then both events together can happen in N
x M ways.
probability - ANSWER probability = number of desired outcomes / number of total out-
comes
adding exponents - ANSWER x^a · x^b = x^(a+b)
subtracting exponents - ANSWER x^a / x^b = x^(a-b)
negative exponents - ANSWER 1 / x^b = x^(-b)
multiplying exponents - ANSWER (x^a)^b = x^(a·b)
x^0 - ANSWER 1
roots - ANSWER √(xy) = √x · √y
2
