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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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Chapter 1 Summary | |

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Chapter 1 Review Problem Set | |

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Chapter 1 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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Chapter 2 Summary | |

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Chapter 2 Review Problem Set | |

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Chapter 2 Test | |

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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: Use of the Distributive Property | |

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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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Chapter 3 Summary | |

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Chapter 3 Review Problem Set | |

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Chapter 3 Test | |

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Cumulative Review Problem Set (Chapters 1-3) | |

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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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Chapter 4 Summary | |

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Chapter 4 Review Problem Set | |

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Chapter 4 Test | |

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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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Chapter 5 Summary | |

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Chapter 5 Review Problem Set | |

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Chapter 5 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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Chapter 6 Summary | |

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Chapter 6 Review Problem Set | |

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Chapter 6 Test | |

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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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Graphing Nonlinear 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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Chapter 7 Summary | |

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Chapter 7 Review Problem Set | |

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Chapter 7 Test | |

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Functions | |

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Concept of a Function | |

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Linear Functions and Applications | |

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Quadratic Functions | |

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More Quadratic Functions and Applications | |

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Transformations of Some Basic Curves | |

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Combining Functions | |

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Direct and Inverse Variation | |

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Chapter 8 Summary | |

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Chapter 8 Review Problem Set | |

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Chapter 8 Test | |

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Polynomial and Rational Functions | |

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Synthetic Division | |

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Remainder and Factor Theorems | |

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Polynomial Equations | |

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Graphing Polynomial Functions | |

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Graphing Rational Functions | |

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More on Graphing Rational Functions | |

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Chapter 9 Summary | |

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Chapter 9 Review Problem Set | |

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Chapter 9 Test | |

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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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Inverse 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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Chapter 10 Summary | |

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Chapter 10 Review Problem Set | |

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Chapter 10 Test | |

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

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Systems of Equations | |

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Systems of Two Linear Equations in Two Variables | |

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Systems of Three Linear Equations in Three Variables | |

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Matrix Approach to Solving Linear Systems | |

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Determinants | |

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Cramer's Rule | |

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Partial Fractions (optional) | |

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Chapter 11 Summary | |

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Chapter 11 Review Problem Set | |

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Chapter 11 Test | |

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Algebra of Matrices | |

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Algebra of Matrices | |

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Multiplicative Inverses | |

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Matrices | |

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Systems of Linear Inequalities: Linear Programming | |

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Chapter 12 Summary | |

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Chapter 12 Review Problem Set | |

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Chapter 12 Test | |

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Conic Sections | |

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Circles | |

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Parabolas | |

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Ellipses | |

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Hyperbolas | |

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Systems Involving Nonlinear Equations | |

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Chapter 13 Summary | |

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Chapter 13 Review Problem Set | |

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Chapter 13 Test | |

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Sequences and Mathematical Induction | |

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Arithmetic Sequences | |

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Geometric Sequences | |

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Another Look at Problem Solving | |

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Mathematical Induction | |

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Chapter 14 Summary | |

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Chapter 14 Review Problem Set | |

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Chapter 14 Test | |

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Prime Numbers and Operations with Fractions | |

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Binomial Theorem | |

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

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Answers to Selected Even-Numbered Problems | |

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Index I-1 | |