Algebra_Cheat_Sheet

Algebra_Cheat_Sheet - Algebra Cheat Sheet Basic Properties...

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For a complete set of online Algebra notes visit http://tutorial.math.lamar.edu . © 2005 Paul Dawkins Algebra Cheat Sheet Basic Properties & Facts Arithmetic Operations ( 29 ,0 b ab a b a c ab ca cc a a a ac b b c b cb c ac a d b c a d bc b d b d b d bd ab b a abab cd d c c a a b a c ad b bca c a bc d  +=   == +- + = -= - -+ = =+ -- + = + ≠= Exponent Properties ( 29 ( 29 ( 29 ( 29 1 1 0 1 1, 0 11 n m mm n n m n m nm m mn m n nm n n n nn n n n n n a a a aa a a a b ab bb a a b - - - - = = =≠ = = Properties of Radicals 1 , if is odd is even n n n n m n nm n n n n n n a a a b aan = = Properties of Inequalities If the n and If and 0 then and If and 0 then and a b acb c acbc a b c a c bc a b c a c bc < +< + -<- < << < < Properties of Absolute Value if 0 if 0 a = -< 0 Triangle Inequality a a a a b +≤+ Distance Formula If ( 29 1 , P xy = and ( 2 22 , P = are two points the distance between them is ( 29 ( 29 ( 29 1 2 2 1 21 , dP P x x yy = - +- Complex Numbers ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29( 29 ( 29 ( 29( 29 ( 29 2 2 1 1 Complex Modulus Complex Conjugate i i a iaa a b i c d i ac b di a b i c d a b ic d i a c b d a d b ci a b ia b iab a b i ab a b i a bi a b b i a bi = - = - - =≥ + ++ =+++ + -+ =-+- + + =-++ + - =+ + + =- + + =+
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For a complete set of online Algebra notes visit http://tutorial.math.lamar.edu . © 2005 Paul Dawkins Logarithms and Log Properties Definition lo g is equivalent to y b y x xb == Example 3 5 log 12 5 3 because 5 125 Special Logarithms 10 l n lo g natural log lo g lo g common log e xx = = where 2.718281828 e = K Logarithm Properties ( 29 ( 29 log lo g1 log 10 log lo g log lo g lo g log lo g lo g log b bb x x b r b b b bx xrx x y xy x
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This note was uploaded on 11/23/2009 for the course CHM 151 taught by Professor Eugene during the Spring '09 term at Wake Tech.

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Algebra_Cheat_Sheet - Algebra Cheat Sheet Basic Properties...

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