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Geometry Formulas

Perimeter P = sum of sides
Area of a triangle A = ½bh
Area of a rectangle A = lw
Area of a parallelogram A = bh
Area of a trapezoid A = ½·(b1 + b2)·h
Area of a circle A = πr2
 

Word Problem Formulas

Distance Distance = rate X time
Interest Interest = principal X rate X time
Compound Interest
Work accomplished work accomplished =
(rate of work) X (time worked)
 

Graphing Formulas

Distance (for graphs)
Midpoint
Slope
Slope-Intercept Form y = mx + b
 

Quadratic Equations

Standard Form ax 2 + bx + c = 0
Difference of squares x 2 - b 2 = (x + b)(x - b)
Quadratic formula
 

Conic Sections

Circle Centered at (h, k) with a radius of r:
  (x - h)2 + (y - k)2 = r 2
Ellipse Centered at (h, k) with its major axis parallel to the x-axis:
 
  Centered at (h, k) with its major axis parallel to the y-axis:
 
Parabola If parabola opens vertically:
  y = a(x - h)2 + k
  If parabola opens horizontally:
  x = a(y - k)2 + h
Hyperbola If transverse axis is horizontal:
 
  If transverse axis is vertical:
 
 

Sequences and Series

Arithmetic Sequence an = a1 + (n - 1)d
Geometric Sequence an = a1 r n-1
Arithmetic Series
Geometric Series
 
 
 
 

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When will a quadratic equation have two different real roots?

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