Rules of Exponents (No negative exponents)
x2(x6)
x8
x2–8x+12=0
6 and 2
Mean
All data values/number of data values
Multiplicative Identity
Any number multipled by 1 is the number its self
y=f+g/3 solve for g
g=3y-f
x2/x4
1/x2
2x2−x=1
1 and -1/2
Range
Maximum - minimum
Commutative Properties
The order of multiplication or addition does not matter
Ex: 3+8 = 8+3
3ax - b = c solve for x
x = c-b/3a
(3x4y2)(4xy2)-3
3x/64y4
4x2+9=–12x
-3/2
Root Formula
y=a(x - Root 1)(x - Root 2)
Additive Inverse Property
Changing the sign of a number and adding to the original number will always equal 0
v = 1/3Bh solve for h
h = 3v/B
4x3y8z2/8x6y2z4
y6/2x3z2
5x2=7x+6
2 and -3/5
Vertex Form
y=a(x-h)2+k
Associative Property
The adding or multiplication of real numbers with not affect the final result
A = 1/2h (a+b) solve for a
a = 2A/h - b
x3 + 2x2/x-1
3x3
(x–2)2=4x
4+2√3 or 4-2√3
Compund Interest
A=P(1+r/n)nt
Distributive Property
Multipling a value by its sum or difference you will get the same result
Ex: 7x6 = 7(3+3)
s = 2(aw-ah+wh) solve for w
w = s-2ah/2a+2h