Math Formulas

• Algebra Formulas
  
  Exponential Equations
  
  
  x^n*x^m = x^n + m
  (xn)/(xm) = x* n - m
  (x/y)n = (xn)/(yn)
  xn*yn = (xy)n
  (xy)z = xyz
  x-n = 1/(xn)
  1n = 1
  x0 = 1
  0n = 0, except 00 = 1 or undefined
  FV = CV(1 + g)T
  
  Other
  
  
  Distance = Rate*Time
  Wage = Rate*Time
  
  Arithmetic Formulas
  
  
  Fractions
  
  (a/b)/(c/d) = (a/b) * (d/c)
  
  Percents
  
  
  Percent Change, as a decimal = (New - Old)/Old
  N = (1 + G)O; N = New Value, 0 = Old Value, G = Growth Rate as decimal
  
  Number Properties
  
  
  (Odd)(Even) = Even
  (Odd)(Odd) = Odd
  (Even)(Even) = Even
  
  (Odd) ± (Even) = Odd
  (Odd) ± (Odd) = Even
  (Even) ± (Even) = Even
  
  (Positive)(Positive) = Positive
  (Positive)(Negative) = Negative
  (Negative)(Negative) = Positive
  (Positive)/(Negative) = Negative
  (Positive)/(Positive) = Positive
  (Negative)/(Negative) = Positive
  
  Statistics
  
  Average (Arithmetic Mean): (sum of all numbers)/(number of numbers)
  
  Geometry Formulas
  
  Angles
  
  
  Sum of Interior Angles of Polygon = (n-2)(180)
  n = number of sides of a polygon
  Central Angle = 2(Inscribed Angle)
  
  Area
  
  
  Square: A = a2
  Rectangle: A = lw
  Parallelogram: A = bh
  Trapezoid: A = .5(a+c)h, where a and c are the lengths of the parallel sides
  
  Circles
  
  
  π = pi = 3.1415
  Area: A = πr2
  Circumference: C = 2πr
  Central Angle = 2(Inscribed Angle)
  Area of Sector = (x/360)πr2
  
  Perimeter
  
  
  Square: P = 4l
  Rectangle: P = 2w + 2l
  Parallelogram: P = 2b + 2a, where a and b are the lengths of the non-parallel sides
  Circle: P = 2πr
  
  Triangles
  
  
  Area: A = .5bh
  Pythagorean Theorem: A2 + B2 = C2 where A = one leg, B = the other leg, C = hypotenuse
  
  Volume
  
  Cube: V = a3 where a is the length of a side
  Rectangular Solid: V = hwl
  Cylinder: V = πr2h