Quantitative Formulas MUST KNOW Flashcards
Square Root Rules
√ab =√a ⋅√b; √b/a = √b/√a; √a^2 = a; (√a)^2
prime numbers
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
integer facts
- the sum of two even integers = even integer
- the sum of two odd integers = even integer
- the sum of an even & odd integers = odd integers
- product of two even integers = even integer
- product of odd integers = odd integer
- product of an even & odd = even integer
- product of two positives = positive integer
- product of two negative integers = positive integer
- product of positive & negative integer = negative
algebraic expressions
- ca + cb = c(a + b)
- ca - cb = c(a - b)
- (a + b)^2 = a^2 + 2ab + b^2
- (a - b)^2 = a^2 - 2ab + b^2
- a^2 - b^2 = (a + b)(a - b)
- (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
- (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
exponent rules
A n ⋅ A m = A n+m
A n ⋅ B n = (A ⋅ B) n
A n / A m = A n-m
A n / B n = (A / B) n
(Bn)m = Bn⋅m
Bn^m = B(n^m)
m√(Bn) = B n/m
B1/n = n√B
B-n = 1 / Bn
B0 = 1
B1 = B
1n = 1
greater than
>
less than
greater than or equal to
≥
less than or equal to
≤
simple interest
A = P(1 + rt)
compound interest
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r)t
Calculate Principal Amount, solve for P
P = A / (1 + r)t
Calculate rate of interest in decimal, solve for r
r = (A/P)1/t - 1
Calculate rate of interest in percent
R = r * 100
slope (rise over run)
y2 - y1 / x2 - x1
surface area
SA = 2(lw + lh + wh)
cylinder volume
v = πr^2h
cylinder surface area
SA = 2(πr^2) + 2πrh
