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Intermediate Algebra A review of concepts and computational skills Chapters 4-5

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Systems of Equations Solve by graphing Solve by substitution Solve by elimination Independent, dependent, inconsistent 3-variable systems

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Exponents and Rules a m x a n = a m+n a m / a n = a m-n a 0 = 1 (a m ) n = a mn (ab) n = a n b n (a/b) n = a n /b n a -n = 1/a n

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Scientific Notation Scientific Notation: Used for very large or very small numbers a x 10 n where 1 < a < 10 and n is an integer

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Polynomials Polynomial—term, degree, constant, coefficient, like terms Monomial, binomial, trinomial Adding and subtracting polynomials– look for like terms

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Multiply and Divide Polynomials Multiplying Polynomials by monomials Multiplying Binomials– FOIL method Special Products Dividing polynomials by monomials Dividing polynomials by binomials (long division) Synthetic division

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Factoring GCF- greatest common factor Factoring special products Factor by grouping Factoring 2 nd degree trinomials Sum or difference of 2 cubes Quadratic techniques Solving equations by factoring

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