## Math Equations, Formulas and Vocabulary

- Area, Volume and Circumference equations:
- Area of a Square

A=S

^{2}- Area of a Triangle

A=1/2bh

- Area of a Rectangle

A=LW

- Right Triangle/Pythagorean Theorem

a

^{2}+b^{2}=c^{2}- Area of Parallelogram

A=bh

- Area of a Trapezoid

A=1/2h(a+b)

- Area of a Circle

A=πr

^{2}- Circumference of a Circle

c=πd or c=2πr

- Volume of a Sphere

V=4/3πr

^{3}- Surface Area of a Sphere

SA=4πr

^{2}- Volume of a Cube

V=s

^{3}- 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

- Vertical line

- Finding slope of line containing points (x
_{1},y_{1}) to (x_{2},y_{2})

_{2}-y

_{1}

x

_{2}-x_{1}- Distance from one point to another

_{1},y

_{1}) to (x

_{2},y

_{2})

d=√(x

_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}- Midpoint of a Line Segment

^{x1+x2 , y1+y2 })

^{2 2}

- Quadratic Formula

^{2}-4ac

2a

- Math Vocabulary

- Equilateral Triangle- Three sides of equal length and 3 angles 60° each
- Scalene Triangle- Three unequal sides and 3 unequal angles
- Isosceles Triangle- Two sides of equal length and two base angles are equal
- Commutative Property- a+b=b+a; ab=ba
- Associative Property- a=(b+c)=(a+b)+c; a(b+c)=ab+ac
- Distributive Property- a9b+c)=ab+ac
- Additive Identity- a+0=0+a=a
- Multiplicative Identity- a•1=1•a=a
- Additive Inverse- -a+a=a+(-a)=0
- Multiplicative Inverse- a•1/a=1, a≠0