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Preface R. Review R.1. Success in Mathematics R.2. Sets and Classification of Numbers R.3. Operations on Signed Numbers; Properties of Real Numbers R.4. Order of Operations R.5. Algebraic Expressions 1. Linear Equations and Inequalities Part I. Linear Equations and Inequalities in One Variable 1.1. Linear Equations in One Variable 1.2. An Introduction to Problem Solving 1.3. Using Formulas to Solve Problems 1.4. Linear Inequalities in One Variable Putting the Concepts Together (Sections 1.1–1.4) Part II. Linear Equations and Inequalities in Two Variables 1.5. Rectangular Coordinates and Graphs of Equations 1.6. Linear Equations in Two Variables 1.7. Parallel and Perpendicular Lines 1.8. Linear Inequalities in Two Variables Chapter 1 Activity: Pass the Paper Chapter 1 Review Chapter 1 Test Cumulative Review Chapters R–1 2. Relations, Functions, and More Inequalities 2.1. Relations 2.2. An Introduction to Functions 2.3. Functions and Their Graphs Putting the Concepts Together (Sections 2.1–2.3) 2.4. Linear Functions and Models 2.5. Compound Inequalities 2.6. Absolute Value Equations and Inequalities Chapter 2 Activity: Shifting Discovery Chapter 2 Review Chapter 2 Test 3. Systems of Linear Equations and Inequalities 3.1. Systems of Linear Equations in Two Variables 3.2. Problem Solving: Systems of Two Linear Equations Containing Two Unknowns 3.3. Systems of Linear Equations in Three Variables Putting the Concepts Together (Sections 3.1–3.3) 3.4. Using Matrices to Solve Systems 3.5. Determinants and Cramer’s Rule 3.6. Systems of Linear Inequalities Chapter 3 Activity: Find the Numbers Chapter 3 Review Chapter 3 Test Cumulative Review Chapters R–3 Getting Ready for Chapter 4: Laws of Exponents and Scientific Notation 4. Polynomials and Polynomial Functions 4.1. Adding and Subtracting Polynomials 4.2. Multiplying Polynomials 4.3. Dividing Polynomials; Synthetic Division Putting the Concepts Together (Sections 4.1–4.3) 4.4. Greatest Common Factor; Factoring by Grouping 4.5. Factoring Trinomials 4.6. Factoring Special Products 4.7. Factoring: A General Strategy 4.8. Polynomial Equations Chapter 4 Activity: What Is the Question? Chapter 4 Review Chapter 4 Test Getting Ready for Chapter 5: A Review of Operations on Rational Numbers 5. Rational Expressions and Rational Functions 5.1. Multiplying and Dividing Rational Expressions 5.2. Adding and Subtracting Rational Expressions 5.3. Complex Rational Expressions Putting the Concepts Together (Sections 5.1–5.3) 5.4. Rational Equations 5.5. Rational Inequalities 5.6. Models Involving Rational Expressions 5.7. Variation Chapter 5 Activity: Correct the Quiz Chapter 5 Review Chapter 5 Test Cumulative Review Chapters R–5 Getting Ready for Chapter 6: Square Roots 6. Radicals and Rational Exponents 6.1. nth Roots and Rational Exponents 6.2. Simplifying Expressions Using the Laws of Exponents 6.3. Simplifying Radical Expressions Using Properties of Radicals 6.4. Adding, Subtracting, and Multiplying Radical Expressions 6.5. Rationalizing Radical Expressions Putting the Concepts Together (Sections 6.1–6.5) 6.6. Functions Involving Radicals 6.7. Radical Equations and Their Applications 6.8. The Complex Number System Chapter 6 Activity: Which One Does Not Belong? Chapter 6 Review Chapter 6 Test 7. Quadratic Equations and Functions 7.1. Solving Quadratic Equations by Completing the Square 7.2. Solving Quadratic Equations by the Quadratic Formula 7.3. Solving Equations Quadratic in Form Putting the Concepts Together (Sections 7.1–7.3) 7.4. Graphing Quadratic Functions Using Transformations 7.5. Graphing Quadratic Functions Using Properties 7.6. Polynomial Inequalities Chapter 7 Activity: Presidential Decision Making Chapter 7 Review Chapter 7 Test Cumulative Review Chapters R–7 8. Exponential and Logarithmic Functions 8.1. Composite Functions and Inverse Functions 8.2. Exponential Functions 8.3. Logarithmic Functions Putting the Concepts Together (Sections 8.1–8.3) 8.4. Properties of Logarithms 8.5. Exponential and Logarithmic Equations Chapter 8 Activity: Correct the Quiz Chapter 8 Review Chapter 8 Test 9. Conics 9.1. Distance and Midpoint Formulas 9.2. Circles 9.3. Parabolas 9.4. Ellipses 9.5. Hyperbolas Putting the Concepts Together (Sections 9.1–9.5) 9.6. Systems of Nonlinear Equations Chapter 9 Activity: How Do You Know That . . . ? Chapter 9 Review Chapter 9 Test Cumulative Review: Chapters R–9 10. Sequences, Series, and the Binomial Theorem 10.1. Sequences 10.2. Arithmetic Sequences 10.3. Geometric Sequences and Series Putting the Concepts Together (Sections 10.1–10.3) 10.4. The Binomial Theorem Chapter 10 Activity: Discover the Relation Chapter 10 Review Chapter 10 Test Answers to Selected Exercises Applications Index Subject Index Photo Credits Table of Contents
Get Intermediate Algebra, 4th Edition by Michael Sullivan, III, Joliet Junior College Katherine R. Struve, Columbus State Community College
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