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Basic Concepts and Properties | |

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Sets, Real Numbers, and Numerical Expressions | |

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Operations with Real Numbers | |

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Properties of Real Numbers and the Use of Exponents | |

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Algebraic Expressions | |

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Summary | |

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Review Problem Set | |

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Test | |

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Equations, Inequalities, and Problem Solving | |

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Solving First-Degree Equations | |

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Equations Involving Fractional Forms | |

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Equations Involving Decimals and Problem Solving | |

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Formulas | |

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Inequalities | |

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More on Inequalities and Problem Solving | |

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Equations and Inequalities Involving Absolute Value | |

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Summary | |

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Review Problem Set | |

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Test Cumulative Review Problem Set (Chapters 1-2) | |

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Polynomials | |

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Polynomials: Sums and Differences | |

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Products and Quotients of Monomials | |

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Multiplying Polynomials | |

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Factoring: Greatest Common Factor and Common Binomial Factor | |

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Factoring: Difference of Two Squares and Sum or Difference of Two Cubes | |

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Factoring Trinomials | |

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Equations and Problem Solving | |

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Summary | |

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Review Problem Set | |

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Test | |

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Rational Expressions | |

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Simplifying Rational Expressions | |

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Multiplying and Dividing Rational Expressions | |

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Adding and Subtracting Rational Expressions | |

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More on Rational Expressions and Complex Fractions | |

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Dividing Polynomials | |

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Fractional Equations | |

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More Fractional Equations and Applications | |

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Summary | |

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Review Problem Set | |

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Test Cumulative Review Problem Set (Chapters 1-4) | |

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Exponents and Radicals | |

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Using Integers as Exponents | |

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Roots and Radicals | |

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Combining Radicals and Simplifying Radicals that Contain Variables | |

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Products and Quotients Involving Radicals | |

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Equations Involving Radicals | |

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Merging Exponents and Roots | |

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Scientific Notation | |

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Summary | |

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Review Problems Set | |

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Test | |

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Quadratic Equations and Inequalities | |

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Complex Numbers | |

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Quadratic Equations | |

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Completing the Square | |

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Quadratic Formula | |

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More Quadratic Equations and Applications | |

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Quadratic and Other Nonlinear Inequalities | |

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Summary | |

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Review Problem Set | |

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Test Cumulative Review Problem Set (Chapters 1-6) | |

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Linear Equations and Inequalities in Two Variables | |

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Rectangular Coordinate System and Linear Equations | |

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Linear Inequalities in Two Variables | |

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Distance and Slope | |

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Determining the Equation of a Line | |

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Graphing Nonlinear Equations | |

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Summary | |

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Review Problem Set | |

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Test | |

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Conic Sections | |

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Graphing Parabolas | |

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More Parabolas and Some Circles | |

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Graphing Ellipses | |

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Graphing Hyperbolas | |

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Summary | |

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Review Problem Set | |

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Test Cumulative Review Problem Set (Chapters 1-8) | |

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Functions | |

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Relations and Functions | |

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Functions: Their Graphs and Applications | |

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Graphing Made Easy Via Transformations | |

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Composition of Functions | |

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Inverse Functions | |

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Direct and Inverse Variations | |

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Summary | |

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Review Problem Set | |

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Test | |

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Systems of Equations | |

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Systems of Two Linear Equations and Linear Inequalities in Two Variables | |

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Substitution Method | |

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Elimination-by-Addition Method | |

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Systems of Three Linear Equations in Three Variables | |

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Matrix Approach to Solving Systems | |

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Determinants. 3 x 3 Determinants and Systems of Three Linear Equations in Three Variables | |

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Systems Involving Nonlinear Equations and Systems of Inequalities | |

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Summary | |

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Review Problem Set | |

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Test Cumulative Review Problem Set (Chapters 1-10) | |

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Exponential and Logarithmic Functions | |

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Exponents and Exponential Functions | |

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Applications of Exponential Functions | |

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Logarithms | |

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Logarithmic Functions | |

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Exponential Equations, Logarithmic Equations, and Problem Solving | |

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Summary | |

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Review Problem Set | |

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Test | |

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Prime Numbers and Operations with Fractions | |

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Binomial Expansions | |

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Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative | |

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Review, Appendix a and Appendix B Problems | |

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Answers to Selected Even-Numbered Problems | |

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Index | |