GMAT Equations Flashcards
x^n * x^m =
x^(n+m)
(x^n) / (x^m) =
x^(n-m)
(x/y)^n =
x^n / y^n
x^n * y^n =
(xy)^n
(xy)^z =
x^z * y^z
x^-n =
1/x^n
1^n=
1
x^0 =
1
0^n =
0 (Note: 0^0 is considered an indeterminate form)
Future Value =
Current Value * (1 + growth rate)^Time
Distance =
Speed * Time
Wage =
Rate * Time
(a/b) / (c/d) =
(a/b) * (d/c)
Percent change =
(New - Old) / Old
New Value =
(1 + Growth Rate) * Old Value
Probability of Event E =
P(E) = Number of favorable outcomes / Total number of outcomes
P(not E) =
1 - P(E)
P(E or F) =
P(E) + P(F) - P(E and F)
P(E and F) =
P(E) * P(F) (If E and F are independent events)
Sum of Interior Angles of a Polygon =
(n-2) * 180 (where n = number of sides)
Central Angle =
2 * Inscribed Angle
Square: A =
side^2
Rectangle: A =
length * width
Parallelogram: A =
base * height
Trapezoid: A =
0.5 * (base1 + base2) * height
Circle: A =
πr^2
Central angle =
2(inscribed angle)
Sector of a Circle =
(central angle/360) * πr^2
Square: P =
4 * side
Rectangle: P =
2 * (length + width)
Circle: C =
2πr
Triangle: A =
0.5 * base * height
Cube: V =
side^3
Rectangular solid (Box): V =
length * width * height
Cylinder: V =
πr^2h
Cone: V =
(1/3)πr^2h
Pyramid: V =
(1/3)(base * width * height)
Sphere: V =
(4/3)πr^3
Simple Interest: Interest =
Principal * rate * time
Compound Interest (annually): Interest =
Principal * (1 + rate)^time
Compound Interest (compounded n times per year): Interest =
Principal * (1 + rate/n)^(n*time)
