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Math Equations, Formulas and Vocabulary

  • Area, Volume and Circumference equations:
  • Area of a Square
A=S2
  • Area of a Triangle
A=1/2bh
  • Area of a Rectangle
A=LW
  • Right Triangle/Pythagorean Theorem
a2+b2=c2
  • Area of Parallelogram
A=bh
  • Area of a Trapezoid
A=1/2h(a+b)
  • Area of a Circle
A=πr2
  • Circumference of a Circle
c=πd or c=2πr
  • Volume of a Sphere
V=4/3πr3
  • Surface Area of a Sphere
SA=4πr2
  • Volume of a Cube
V=s3
  • Volume of a Rectangular Solid
V=lwh
  • Slope of a line Equations
  • Slope-intercept form
y=mx+b
m is the slope
b is the y-intercept
y is a y coordinate on the graph (that coincides with the line)
x is an x coordinate on the graph (that coincides with the line)
  • Horizontal line
y=b
  • Vertical line
x=a
  • Finding slope of line containing points (x1,y1) to (x2,y2)
m=y2-y1
     x2-x1
  • Distance from one point to another
(x1,y1) to (x2,y2)
d=√(x2-x1)2+(y2-y1)2
  • Midpoint of a Line Segment
( x1+x2 y1+y2 )
     2           2
  • Quadratic Formula
x=-b±√b2-4ac
          2a
  • Math Vocabulary
  1. Equilateral Triangle- Three sides of equal length and 3 angles 60° each
  2. Scalene Triangle- Three unequal sides and 3 unequal angles
  3. Isosceles Triangle- Two sides of equal length and two base angles are equal
  4. Commutative Property- a+b=b+a; ab=ba
  5. Associative Property- a=(b+c)=(a+b)+c; a(b+c)=ab+ac
  6. Distributive Property- a9b+c)=ab+ac
  7. Additive Identity- a+0=0+a=a
  8. Multiplicative Identity- a•1=1•a=a
  9. Additive Inverse- -a+a=a+(-a)=0
  10. Multiplicative Inverse- a•1/a=1, a≠0