Algebra Cheat Sheet - Lamar University

For a complete set of online Algebra notes visit 2005 Paul Dawkins Algebra Cheat Sheet Basic properties & Facts Arithmetic Operations (),0bababacabcaccaaaacbbcbcbcacadbcacadb cbdbdbdbdabbaababcddccccaabacadbbcacabcd +=+= == +-+=-=--+==+-- + =+ = Exponent properties ()()()()11011, 011nmmmnnmnmnmmmnmnnmnnnnnnnnnnnnnnnnaaa aaaaaaaaaaababbbaaaaabbaaabaa+-----===== == == ==== properties of Radicals 1,if is odd,if is evennnnnnnmnnmnnnnnnaaababaaaabbaanaan== ==== properties of Inequalities If thenand If and 0 then and If and 0 then and abacbcacbcababcacbcccababcacbccc<+<+-<-<> <<<<>> properties of Absolute Value if 0if 0aaaaa = -< 0 Triangle Inequalityaaaaaababbbabab -===+ + Distance Formula If ()111,Pxy= and ()222,Pxy= are two points the distance between them is ()()()22122121,dPPxxyy=-+- Complex Numbers ()()()()()()()()()()()()()()22222211,0 Complex ModulusComplex Conjugateiiaiaaabicdiacbdiabicdiacbdiabi cdiacbdadbciabiabiababiababiabiabiabiabi =-=--= +++=++++-+=-+-++=-+++-=++=++=-++=+ For a complete set of online Algebra notes visit 2005 Paul Dawkins Logarithms and Log properties Definition log is equivalent to ybyxxb== Example 35log1253 because 5125== Special Logarithms 10lnlognatural logloglogcommon logexxxx== where Logarithm properties ()()loglog1log10loglogloglogloglogloglog logbbbxxbrbbbbbbbbbbxbxxrxxyxyxxyy====== + =- The domain of logbx is 0

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

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