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Contents Note: Each chapter contains a Mid-Chapter Quiz, a Summary, Review Exercises, and a Test. P. Prerequisites: Fundamentals of Algebra Motivating the Chapter: The Universal Product Code P.1 The Real Number System P.2 Operations with Real Numbers P.3 Properties of Real Numbers P.4 Algebraic Expressions P.5 Constructing Algebraic Expressions 1. Linear Equations and Inequalities Motivating the Chapter: Cable Television and You 1.1 Linear Equations 1.2 Linear Equations and Problem Solving 1.3 Business and Scientific Problems 1.4 Linear Inequalities 1.5 Absolute Value Equations and Inequalities 2. Graphs and Functions Motivating the Chapter: Automobile Depreciation 2.1 The Rectangular Coordinate System 2.2 Graphs of Equations 2.3 Slope and Graphs of Linear Equations 2.4 Equations of Lines 2.5 Relations and Functions 2.6 Graphs of Functions 3. Polynomials and Factoring Motivating the Chapter: A Storage Bin for Drying Grain 3.1 Adding and Subtracting Polynomials 3.2 Multiplying Polynomials 3.3 Factoring Polynomials 3.4 Factoring Trinomials 3.5 Solving Polynomial Equations Cumulative Test: Chapters P-3 4. Rational Expressions, Equations, and Functions Motivating the Chapter: A Canoe Trip 4.1 Integer Exponents and Scientific Notation 4.2 Rational Expressions and Functions 4.3 Multiplying and Dividing Rational Expressions 4.4 Adding and Subtracting Rational Expressions 4.5 Dividing Polynomials 4.6 Solving Rational Equations 5. Radicals and Complex Numbers Motivating the Chapter: Building a Greenhouse 5.1 Radicals and Rational Exponents 5.2 Simplifying Radical Expressions 5.3 Multiplying and Dividing Radical Expressions 5.4 Solving Radical Equations 5.5 Complex Numbers 6. Quadratic Equations and Inequalities Motivating the Chapter: Height of a Falling Object 6.1 Factoring and Extracting Square Roots 6.2 Completing the Square 6.3 The Quadratic Formula 6.4 Applications of Quadratic Equations 6.5 Quadratic and Rational Inequalities Cumulative Test: Chapters 4-6 7. Linear Models and Graphs of Nonlinear Models Motivating the Chapter: Factory Shipments of Computers 7.1 Variation 7.2 Graphs of Linear Inequalities 7.3 Graphs of Quadratic Functions 7.4 Conic Sections 7.5 Graphs of Rational Functions 8. Systems of Equations Motivating the Chapter: Soccer Club Fundraiser 8.1 Systems of Equations 8.2 Linear System in Two Variables 8.3 Linear Systems in Three Variables 8.4 Matrices and Linear Systems 8.5 Determinants and Linear Systems 9. Exponential and Logarithmic Functions Motivating the Chapter: Choosing the Best Investment 9.1 Exponential Functions 9.2 Inverse Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms 9.5 Solving Exponential and Logarithmic Equations 9.6 Applications Cumulative Test: Chapters 7-9 10. Sequences, Series, and Probability Motivating the Chapter: Ancestors and Descendents 10.1 Sequences and Series 10.2 Arithmetic Sequences 10.3 Geometric Sequences and Series 10.4 The Binomial Theorem 10.5 Counting Principles 10.6 Probability Appendices: A. Introduction to Graphing Utilities. B. Further Concepts in Geometry. B.1. Exploring Congruence and Similarity. B.2. Angles. C. Further Concepts in Statistics. D. Introduction to Logic. D.1. Statements and Truth Tables. D.2. Implications, Quantifiers, and Venn Diagrams. D.3. Logical ArgumentsRon Larson is the author of 'Intermediate Algebra Third Edition', published 2000 under ISBN 9780395976609 and ISBN 039597660X.
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