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How Am I Doing? Guide to Math Success (inside front cover) To the Student Preface Acknowledgments Diagnostic Pretest CH. 0 - PREALGEBRA REVIEW 0.1 Simplifying Fractions 0.2 Adding and Subtracting Fractions 0.3 Multiplying and Dividing Fractions How Am I Doing? Sections 0.1—0.3 0.4 Using Decimals 0.5 Percents, Rounding, and Estimating Chapter 0 Organizer Chapter 0 Review Problems How Am I Doing? Chapter 0 Test CH. 1 - REAL NUMBERS AND VARIABLES 1.1 Adding Real Numbers 1.2 Subtracting Real Numbers 1.3 Multiplying and Dividing Real Numbers 1.4 Exponents 1.5 The Order of Operations How Am I Doing? Sections 1.1—1.5 1.6 Using the Distributive Property to Simplify Algebraic Expressions 1.7 Combining Like Terms 1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas 1.9 Grouping Symbols Chapter 1 Organizer Chapter 1 Review Problems How Am I Doing? Chapter 1 Test CH. 2 — EQUATIONS, INEQUALITIES, AND APPLICATIONS 2.1 The Addition Principle of Equality 2.2 The Multiplication Principle of Equality 2.3 Using the Addition and Multiplication Principles Together 2.4 Solving Equations with Fractions How Am I Doing? Sections 2.1—2.4 2.5 Translating English Phrases into Algebraic Expressions 2.6 Using Equations to Solve Word Problems 2.7 Solving Word Problems Using Geometric Formulas 2.8 Solving Inequalities in One Variable Chapter 2 Organizer Chapter 2 Review Problems How Am I Doing? Chapter 2 Test Cumulative Test for Chapters 0—2 CH. 3 - GRAPHING AND FUNCTIONS 3.1 The Rectangular Coordinate System 3.2 Graphing Linear Equations 3.3 The Slope of a Line How Am I Doing? Sections 3.1—3.3 3.4 Writing the Equation of a Line 3.5 Graphing Linear Inequalities 3.6 Functions Chapter 3 Organizer Chapter 3 Review Problems How Am I Doing? Chapter 3 Test Cumulative Test for Chapters 0—3 CH. 4 - SYSTEMS OF EQUATIONS 4.1 Solving a System of Equations in Two Variables by Graphing 4.2 Solving a System of Equations in Two Variables by the Substitution Method 4.3 Solving a System of Equations in Two Variables by the Addition Method How Am I Doing? Sections 4.1—4.3 4.4 Review of Methods for Solving Systems of Equations 4.5 Solving Word Problems Using Systems of Equations Chapter 4 Review Problems How Am I Doing? Chapter 4 Test Cumulative Test for Chapters 0—4 CH. 5 - EXPONENTS AND POLYNOMIALS 5.1 The Rules of Exponents 5.2 Negative Exponents and Scientific Notation 5.3 Fundamental Polynomial Operations How Am I Doing? Sections 5.1—5.3 5.4 Multiplying Polynomials 5.5 Multiplication: Special Cases 5.6 Dividing Polynomials Chapter 5 Organizer Chapter 5 Review Problems How Am I Doing? Chapter 5 Test Cumulative Test for Chapters 0—5 CH. 6 - FACTORING 6.1 Removing a Common Factor 6.2 Factoring by Grouping 6.3 Factoring Trinomials of the Form x2 + bx + c 6.4 Factoring Trinomials of the Form ax2 + bx + c How Am I Doing? Sections 6.1—6.4 6.5 Special Cases of Factoring 6.6 A Brief Review of Factoring 6.7 Solving Quadratic Equations by Factoring Chapter 6 Organizer Chapter 6 Review Problems How Am I Doing? Chapter 6 Test Cumulative Test for Chapters 0—6 CH. 7 - RATIONAL EXPRESSIONS AND EQUATIONS 7.1 Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions How Am I Doing? Sections 7.1—7.3 7.4 Simplifying Complex Rational Expressions 7.5 Solving Equations Involving Rational Expressions 7.6 Ratio, Proportion, and Other Applied Problems Chapter 7 Organizer Chapter 7 Review Problems How Am I Doing? Chapter 7 Test Cumulative Test for Chapters 0—7 CH. 8 - RADICALS 8.1 Square Roots 8.2 Simplifying Radical Expressions 8.3 Adding and Subtracting Radical Expressions 8.4 Multiplying Radical Expressions How Am I Doing? Sections 8.1—8.4 8.5 Dividing Radical Expressions 8.6 The Pythagorean Theorem and Radical Equations 8.7 Word Problems Involving Radicals: Direct and Inverse Variation Chapter 8 Organizer Chapter 8 Review Problems How Am I Doing? Chapter 8 Test Cumulative Test for Chapters 0—8 CH. 9 - QUADRATIC EQUATIONS 9.1 Introduction to Quadratic Equations 9.2 Using the Square Root Property and Completing the Square to Find Solutions 9.3 Using the Quadratic Formula to Find Solutions How Am I Doing? Sections 9.1—9.3 9.4 Graphing Quadratic Equations 9.5 Formulas and Applied Problems Chapter 9 Organizer Chapter 9 Review Problems How Am I Doing? Chapter 9 Test Cumulative Test for Chapters 0—9 Practice Final Examination Glossary Appendix A: Table of Square Roots Appendix B: Mathematics Blueprint for Problem Solving Appendix C: Practice with Operations of Whole Numbers Appendix D: The Point-Slope Form of a Line Solutions to Practice Problems Answers to Selected Exercises Applications Index Index Photo Credits Table of Contents
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