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

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

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

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

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

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

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

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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