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30 Cards in this Set
 Front
 Back
Closure Property

Addition: a + b is a real number.
Mult: ab is a real number. 

Communtative

Add: a + b= b + a
Mult: ab= ba 

Associative

Add: (a+b)+c = a+(b+c)
Mult: (ab)c=a(bc) 

Identity

Add: a+0=a, 0+a=a
Mult: a*1=a, 1*a=a 

Inverse

Add: a +(a)=0
Mult: a*(1/a)=1, a never = 0 

Distributive

a(b=c)=ab+ac


Order of Operations

1. Do operations that occur within grouping symbols.
2. Evaluate powers. 3. Do multiplications and divisions left to right. 4. Do additiond and subtractions fromleft to right. 

Distance Formula

d=rt
distance equals rate times time. 

Simple Interest

I=Prt
Interest equals principal rate times time 

Temperature

F= 9/5C+ 32


Area of Triangle

A=1/2bh
Area equals 1/2 base times height 

Area of Rectangle

A=lw
Area equals length times width 

Perimeter of Rectangle

P= 2l+2w


Area of Trapezoid

A= 1/2(b1+b2)h


Area of Circle

A= pie R squared


Circumference of Circle

C=2 pie R


Slope

M=(y2y1)/ (x2x1)
rise over run Classification of lines by slope: parallel: same perpendicular: reciprocal Horizontal: 0 Vertical: Undefined 

Slope Intercept Form

y= mx+b


Point Slope Form

yy1= m(xx2)


Two Points

m= (y2y1)/ (x2x1)
Then yy2= m(xx2) 

Area of a Triangle Matrix

Area= + x1 y1 1
x2 y2 1 x3 y3 1 x13 and y13 given. 

Cramer's Rule 2X2 matrix

2X2:
ax+by= e cx+dy= f det not equal 0, x= e b f d ___ det a y= a e c f ___ det a 

Cramer's Rule 3X3

ax+by+cz= j
dx+ey+fz= k gX+hy+iz= l X= j b c k e f l h i over det a y= a j c d k f g l i over det a z= a b j d e k g h l over det a 

Quadratic Functions

y= ax^2+bx+c


X coordinate of vertex

b/ 2a


Axis of symmetry

Vertical line
x= b/2a 

Vertex Form of Quadratic Functions

y=a(xh)^2+k
vetex= (h,k) Axis of symmetry x=h 

Intercept Form of Quadratic

y= a(xp)(xq)
X intercepts= p and q Axis of symm: halfway between (p,0) and (q,0) 

Complex Numbers

Square root of r = i square root of r
i^2= 1 (i/ r)^2= r 

Completing the square

ax^2+bx+c=0
1. Move constant to the right side of the equation 2. take 1/2 of b, square it, and add to both sides of the equation. 3. rewrite left side as binomial squared and simplify right side. 4. take square root of both sides. 5. solve for x and simplify. 