Algebra_Cheat_Sheet_Reduced

Algebra_Cheat_Sheet_Reduced - Algebra Cheat Sheet Basic...

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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 ( ) ,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 + = += ²³ Ll == +- + = -= - -+ = =+ -- + = + „= Exponent Properties ( ) ( ) ( ) ( ) 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 - - - - = = =„ & ± = = ² ³ L l 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 ´ = µ -< 0 Triangle Inequality a a a a b +£+ Distance Formula If ( ) 1 , P xy = and ( ) 2 22 , P = are two points the distance between them is ( ) ( ) ( ) 1 2 2 1 21 , dP P x x yy = - +- Complex Numbers ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( ) ( ) ( ) ( ) 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 = - = - - =‡ + ++ =+++ + -+ =-+- + + =-++ + - =+ + + =- + + =+ 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 ( ) ( ) log lo g1 log10 log lo g log lo g lo g log lo g
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This note was uploaded on 03/30/2010 for the course MATH 172 taught by Professor Remaley during the Spring '10 term at Washington State University .

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Algebra_Cheat_Sheet_Reduced - Algebra Cheat Sheet Basic...

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