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 Lo

b a – . Hyperbola ( )22( ) 22 1 ykxh ba---= Graph is a hyperbola that opens up and down, has a center at (hk,), vertices b units up/down from the center and asymptotes that pass through center with slope b a – .

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