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1. Operations on Real Numbers and Algebraic Expressions 1.1. Success in Mathematics 1.2. Fractions, Decimals, and Percents 1.3. The Number Systems and the Real Number Line 1.4. Adding, Subtracting, Multiplying, and Dividing Integers 1.5. Adding, Subtracting, Multiplying, and Dividing Rational Numbers Putting the Concepts Together (Sections 1.2 — 1.5) 1.6. Properties of Real Numbers 1.7. Exponents and the Order of Operations 1.8. Simplifying Algebraic Expressions Chapter 1 Activity: The Math Game Chapter 1 Review Chapter 1 Test 2. Linear Equations and Inequalities in One Variable 2.1. Linear Equations: The Addition and Multiplication Properties of Equality 2.2. Linear Equations: Using the Properties Together 2.3. Solving Linear Equations Involving Fractions and Decimals; Classifying Equations 2.4. Evaluating Formulas and Solving Formulas for a Variable Putting the Concepts Together (Sections 2.1 — 2.4) 2.5. Problem Solving: Direct Translation 2.6. Problem Solving: Problems Involving Percent 2.7. Problem Solving: Geometry and Uniform Motion 2.8. Solving Linear Inequalities in One Variable Chapter 2 Activity: Pass to the Right Chapter 2 Review Chapter 2 Test Cumulative Review Chapters 1 — 2 3. Introduction to Graphing and Linear Equations in Two Variables 3.1. The Rectangular Coordinate System and Linear Equations in Two Variables 3.2. Graphing Linear Equations in Two Variables 3.3. Slope 3.4. Slope-Intercept Form of a Line 3.5. Point-Slope Form of a Line 3.6. Parallel and Perpendicular Lines Putting the Concepts Together (Sections 3.1 — 3.6) 3.7. Linear Inequalities in Two Variables Chapter 3 Activity: Graphing Practice Chapter 3 Review Chapter 3 Test Cumulative Review Chapters 1 — 3 4. Systems of Linear Equations and Inequalities 4.1. Solving Systems of Linear Equations by Graphing 4.2. Solving Systems of Linear Equations Using Substitution 4.3. Solving Systems of Linear Equations Using Elimination Putting the Concepts Together (Sections 4.1 — 4.3) 4.4. Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations 4.5. Solving Mixture Problems Using Systems of Linear Equations 4.6. Systems of Linear Inequalities Chapter 4 Activity: Find the Numbers Chapter 4 Review Chapter 4 Test Cumulative Review Chapters 1 — 4 5. Exponents and Polynomials 5.1. Adding and Subtracting Polynomials 5.2. Multiplying Monomials: The Product and Power Rules 5.3. Multiplying Polynomials 5.4. Dividing Monomials: The Quotient Rule and Integer Exponents Putting the Concepts Together (Sections 5.1 — 5.4) 5.5. Dividing Polynomials 5.6. Applying the Exponent Rules: Scientific Notation Chapter 5 Activity: What Is the Question? Chapter 5 Review Chapter 5 Test Cumulative Review Chapters 1 — 5 6. Factoring Polynomials 6.1. Greatest Common Factor and Factoring by Grouping 6.2. Factoring Trinomials of the Form x^2 + bx + c 6.3. Factoring Trinomials of the Form ax^2 + bx + c, a ≠ 1 6.4. Factoring Special Products 6.5. Summary of Factoring Techniques Putting the Concepts Together (Sections 6.1 — 6.5) 6.6. Solving Polynomial Equations by Factoring 6.7. Modeling and Solving Problems with Quadratic Equations Chapter 6 Activity: Which One Does Not Belong? Chapter 6 Review Chapter 6 Test Cumulative Review Chapters 1 — 6 Getting Ready for Intermediate Algebra: A Review of Chapters 1 — 6 7. Rational Expressions and Equations 7.1. Simplifying Rational Expressions 7.2. Multiplying and Dividing Rational Expressions 7.3. Adding and Subtracting Rational Expressions with a Common Denominator 7.4. Finding the Least Common Denominator and Forming Equivalent Rational Expressions 7.5. Adding and Subtracting Rational Expressions with Unlike Denominators 7.6. Complex Rational Expressions Putting the Concepts Together (Sections 7.1 — 7.6) 7.7. Rational Equations 7.8. Models Involving Rational Equations Chapter 7 Activity: Correct the Quiz Chapter 7 Review Chapter 7 Test Cumulative Review Chapters 1 — 7 Getting Ready for Intermediate Algebra: A Review of Chapters 1 — 7 Getting Ready for Chapter 8: Interval Notation 8. Graphs, Relations, and Functions 8.1. Graphs of Equations 8.2. Relations 8.3. An Introduction to Functions 8.4. Functions and Their Graphs Putting the Concepts Together (Sections 8.1 — 8.4) 8.5. Linear Functions 8.6. Compound Inequalities 8.7. Absolute Value Equations and Inequalities 8.8. Variation Chapter 8 Activity: Shifting Discovery Chapter 8 Review Chapter 8 Test Chapters 1 — 8 Cumulative Review 9. Radicals and Rational Exponents 9.1. Square Roots 9.2. nth Roots and Rational Exponents 9.3. Simplify Expressions Using the Laws of Exponents 9.4. Simplifying Radical Expressions 9.5. Adding, Subtracting, and Multiplying Radical Expressions 9.6. Rationalizing Radical Expressions Putting the Concepts Together (Sections 9.1 — 9.6) 9.7. Functions Involving Radicals 9.8. Radical Equations and Their Applications 9.9. The Complex Number System Chapter 9 Activity: Which One Does Not Belong? Chapter 9 Review Chapter 9 Test Cumulative Review Chapters 1 — 9 10. Quadratic Equations and Functions 10.1. Solving Quadratic Equations by Completing the Square 10.2. Solving Quadratic Equations by the Quadratic Formula 10.3. Solving Equations Quadratic in Form Putting the Concepts Together (Sections 10.1 — 10.3) 10.4. Graphing Quadratic Functions Using Transformations 10.5. Graphing Quadratic Functions Using Properties 10.6. Polynomial Inequalities 10.7. Rational Inequalities Chapter 10 Activity: Presidential Decision Making Chapter 10 Review Chapter 10 Test Cumulative Review Chapters 1 — 10 11. Exponential and Logarithmic Functions 11.1. Composite Functions and Inverse Functions 11.2. Exponential Functions 11.3. Logarithmic Functions Putting the Concepts Together (Sections 11. 1 — 11.3) 11.4. Properties of Logarithms 11.5. Exponential and Logarithmic Equations Chapter 11 Activity: Correct the Quiz Chapter 11 Review Chapter 11 Test Cumulative Review Chapters 1 — 11 12. Conics 12.1. Distance and Midpoint Formulas 12.2. Circles 12.3. Parabolas 12.4. Ellipses 12.5. Hyperbolas Putting the Concepts Together (Sections 12.1 — 12.5) Nonlinear Systems of Equations Chapter 12 Activity: How Do You Know That…? Chapter 12 Review Chapter 12 Test Cumulative Review Chapters 1 — 12 13. Sequences, Series, and the Binomial Theorem 13.1. Sequences 13.2. Arithmetic Sequences 13.3. Geometric Sequences and Series 13.4. The Binomial Theorem Chapter 13 Activity: Pass to the Right Chapter 13 Review Chapter 13 Test Cumulative Review Chapters 1 — 13 Appendix A: Synthetic Division Appendix B: Geometry Review Appendix C: More on Systems of Linear Equations Appendix D: Table of Square Roots Appendix E: Transformations Answers to Selected Exercises Table of Contents
buy Elementary & Intermediate Algebra, 4th Edition testbank , Michael Sullivan, III, Joliet Junior College Katherine R. Struve, Columbus State Community College Janet Mazzarella, Southwestern College
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