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Elementary and Intermediate Algebra: Discovery and Visualization, Third Edition, employs graphing technology as an integral part of a discovery-based learning approach. Developed for a one- or two-semester combined algebra course, this text thoughtfully incorporates the NCTM and AMATYC standards, while its multiple approaches, based on the Rule of Four, accommodate a variety of learning styles and ensure that students learn to solve problems and apply mathematical concepts across disciplines.
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Note: Each chapter contains Review Exercises, "Looking Back," and a Chapter Test. 1. The Real Number System 1.1 The Real Numbers 1.2 Addition 1.3 Subtraction 1.4 Multiplication 1.5 Division 1.6 Exponents, Square Roots, Order of Operations 1.7 Properties of the Real Numbers Chapter Project: Air Pressure and Altitude 2. Expressions and Functions 2.1 Algebraic Expressions and Formulas 2.2 Simplifying Expressions 2.3 The Coordinate Plane 2.4 The Graph of an Expression 2.5 Relations and Functions 2.6 Functions: Notation and Evaluation 2.7 Analysis of Functions Chapter Project: Bicycle Helmet Usage Cumulative Test: Chapters 1-2 3. Linear Equations and Inequalities 3.1 Introduction to Linear Equations 3.2 Solving Linear Equations 3.3 Formulas 3.4 Modeling and Problem Solving 3.5 Applications 3.6 Linear Inequalities 3.7 Compound Inequalities 3.8 Absolute Value: Equations and Inequalities Chapter Project: Health Insurance 4. Properties of Lines 4.1 Linear Equations in Two Variables 4.2 Slope of a Line 4.3 Applications of Slope 4.4 Equations of Lines 4.5 Graphs of Linear Inequalities Chapter Project: Bald Eagle Population 5. Systems of Linear Equations 5.1 Graphing and Substitution Methods 5.2 The Addition Method 5.3 Systems of Equations in Three Variables 5.4 Matrices and Systems of Equations 5.5 Applications 5.6 Systems of Linear Inequalities Chapter Project: Office Communications Cumulative Test: Chapters 3-5 6. Exponents and Polynomials 6.1 Properties of Exponents 6.2 Zero and Negative Exponents 6.3 Scientific Notation 6.4 Polynomials 6.5 Multiplication and Special Products Chapter Project: Microgravity and Space Flight 7. Factoring 7.1 Common Factors and Grouping 7.2 Special Factoring 7.3 Factoring Trinomials of the Form ax2 + bx + c 7.4 Solving Equations by Factoring 7.5 Division Chapter Project: Foreign Currency Exchange 8. Rational Expressions 8.1 Introduction to Rational Expressions 8.2 Multiplication and Division 8.3 Addition and Subtraction 8.4 Complex Fractions 8.5 Equations with Rational Expressions 8.6 Applications Chapter Project: Major League Salaries Cumulative Test: Chapters 6-8 9. Radical Expressions 9.1 Radicals 9.2 Rational Exponents 9.3 Properties of Rational Exponents 9.4 The Product Rule for Radicals 9.5 The Quotient Rule for Radicals 9.6 Operations with Radicals 9.7 Equations with Radicals and Exponents 9.8 Complex Numbers Chapter Project: Visitors to National Parks and Monuments 10. Quadratic Equations 10.1 Special Methods 10.2 Completing the Square 10.3 The Quadratic Formula 10.4 Equations in Quadratic Form 10.5 Applications 10.6 Quadratic Inequalities 10.8 Quadratic Functions Chapter Project: Heart Attack Risks 11. Exponential and Logarithmic Functions 11.1 Algebra of Functions 11.2 Inverse Functions 11.3 Exponential Functions 11.4 Logarithmic Functions 11.5 Properties of Logarithms 11.6 Exponential and Logarithmic Equations Chapter Project: Telecommuting Cumulative Test: Chapters 9-11 Appendix A. Conic Sections Appendix B. Calculator Guide for theTI-83 Plus Appendix C. Calculator Programs
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