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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 ()()()221

Exponent Properties ( ) ( ) (1) ( )1 0 1 1, 0 11 n mmm n nmnmnm mmn nm nm n n n nn n nn nn nnn n n n a aaaa aa aaaa aa abab bb aa aa abb aaa baa +-----=== ==„ æö ==ç÷ Łł == æöæö ç÷=ç÷=== ŁłŁł Properties of Radicals 1,if is odd,if is even nn nnn n mnnm n n nn nn aaabab aa aa bb aan aan == == = = Properties of Inequalities If ...

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