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| Note: Each chapter concludes with Chapter Review Exercises, Looking Back, and a Chapter Test | |
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| The Real Number System | |
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| The Real Numbers | |
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| Addition | |
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| Subtraction | |
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| Multiplication | |
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| Division | |
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| Exponents, Square Roots, Order of Operations | |
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| Properties of the Real Numbers; Chapter Project: Air Pressure and Altitude | |
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| Expressions and Functions | |
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| Algebraic Expressions and Formulas | |
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| Simplifying Expressions | |
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| The Coordinate Plane | |
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| Relations and Functions | |
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| Functions: Notation and Evaluation; Chapter Project: Bicycle Helmet Usage | |
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| Cumulative Test: Chapters 12 | |
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| Linear Equations and Inequalities | |
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| Introduction to Linear Equations | |
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| Solving Linear Equations | |
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| Formulas | |
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| Modeling and Problem Solving | |
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| Applications | |
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| Linear Inequalities | |
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| Compound Inequalities | |
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| Absolute Value: Equations and Inequalities; Chapter Project: Health Insurance | |
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| Properties of Lines | |
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| Linear Equations in Two Variables | |
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| Slope of a Line | |
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| Applications of Slope | |
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| Equations of Lines | |
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| Graphs of Linear Inequalities; Chapter Project: Bald Eagle Population | |
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| Systems of Linear Equations | |
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| The Graphing and Substitution Methods | |
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| The Addition Method | |
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| Systems of Equations in Three Variables | |
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| Matrices and Systems of Equations | |
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| Determinants and Cramer's Rule | |
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| Applications | |
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| Systems of Linear Inequalities; Chapter Project: Office Communications | |
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| Cumulative Test: Chapters 35 | |
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| Exponents and Polynomials | |
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| Properties of Exponents | |
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| Zero and Negative Exponents | |
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| Scientific Notation | |
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| Polynomials | |
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| Multiplication and Special Products; Chapter Project: Microgravity and Space Flight | |
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| Factoring | |
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| Common Factors and Grouping | |
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| Special Factoring | |
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| Factoring Trinomials of the Form ax2 + bx + c | |
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| Solving Equations by Factoring | |
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| Division; Chapter Project: Foreign Currency Exchange | |
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| Rational Expressions | |
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| Introduction to Rational Expressions | |
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| Multiplication and Division | |
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| Addition and Subtraction | |
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| Complex Fractions | |
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| Equations with Rational Expressions | |
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| Applications; Chapter Project: Major League Salaries | |
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| Cumulative Test: Chapters 68 | |
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| Radical Expressions | |
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| Radicals | |
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| Rational Exponents | |
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| Properties of Rational Exponents | |
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| The Product Rule for Radicals | |
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| The Quotient Rule for Radicals | |
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| Operations with Radicals | |
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| Equations with Radicals and Exponents | |
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| Complex Numbers; Chapter Project: Visitors to National Parks and Monuments | |
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| Quadratic Equations | |
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| Special Methods | |
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| Completing the Square | |
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| The Quadratic Formula | |
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| Equations in Quadratic Form | |
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| Applications | |
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| Quadratic Functions | |
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| Quadratic Inequalities; Chapter Project: Heart Attack Risks | |
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| Exponential and Logarithmic Functions | |
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| Algebra of Functions | |
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| Inverse Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Logarithmic and Exponential Equations; Chapter Project: Telecommuting | |
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| Cumulative Test: Chapter 911 | |
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| Appendix: Conic Sections | |