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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 ()()()22122121,dPPxxyy=-+- Complex Numbers ()()()()()()()()()()()()()()

xx-==-Slope – intercept form The equation of the line with slope m and y-intercept (0,b) is y=+mxb Point – Slope form The equation of the line with slope m and passing through the point (xy11,) is y=y11+-m(xx) Parabola/Quadratic Function y=a(x-h)22+kf()x=a(x-+hk) The graph is a parabola that opens up if a > 0 or down if a < 0 and has a ...

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