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Chapter 1 — Operations on Real Numbers and Algebraic Expressions 1.1 Success in Mathematics 1.2 The Number Systems and the Real Number Line 1.3 Adding, Subtracting, Multiplying, and Dividing Integers 1.4 Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals Putting the Concepts Together (Sections 1.1 — 1.4) 1.5 Properties of Real Numbers 1.6 Exponents and the Order of Operations 1.7 Simplifying Algebraic Expressions Chapter 1 Activity Chapter 1 Review Chapter 1 Test Chapter 2-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 Introduction to Problem Solving: Direct Translation Problems 2.6 Problem Solving: Direct Translation Problems Involving Percent 2.7 Problem Solving: Geometry and Uniform Motion 2.8 Solving Inequalities in One Variable Chapter 2 Activity Chapter 2 Review Chapter 2 Test Chapter 3 — Introduction to Graphing and Equations of Lines 3.1 The Rectangular Coordinate System and Equations in Two Variables 3.2 Graphing 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 Variation 3.8 Linear Inequalities in Two Variables Chapter 3 Activity Chapter 3 Review Chapter 3 Test Cumulative Review Chapters 1-3 Chapter 4 — Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations in Two Variables by Graphing 4.2 Solving Systems of Linear Equations in Two Variables Using Substitution 4.3 Solving Systems of Linear Equations in Two Variables 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 Chapter 4 Review Chapter 4 Test Chapter 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 Exponent Rules: Scientific Notation Chapter 5Activity Chapter 5 Review Chapter 5 Test Cumulative Review Chapters 1-5 Chapter 6 - Factoring Polynomials 6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form x2 + bx + c 6.3 Factoring Trinomials of the Form ax2 + 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 Chapter 6 Review Chapter 6 Test Getting Ready for Intermediate Algebra: A Cumulative Review of Chapters 1-6 Chapter 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 Denominators 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 Expressions Chapter 7 Activity Chapter 7 Review Chapter 7 Test Getting Ready for Intermediate Algebra: A Cumulative Review of Chapters 1-7 Chapter 8— Graphs, Relations, and Functions 8.1 Graphs of Equations 8.2 Relations Putting the Concepts Together (Section 8.1 — 8.2) 8.3 An Introduction to Functions 8.4 Functions and Their Graphs 8.5 Linear Functions 8.6 Compound Inequalities 8.7 Absolute Value Equations and Inequalities Chapter 8 Activity Chapter 8 Review Chapter 8 Test Chapter 9- Radicals and Rational Exponents 9.1 Square Roots 9.2 nth Roots andRational 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 Chapter 9 Review Chapter 9 Test Chapter 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 Quadratic Inequalities 10.7 Rational Inequalities Chapter 10 Activity Chapter 10 Review Chapter 10 Test Cumulative Review Chapters 1-10 Chapter 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 Chapter 11 Review Chapter 11 Test Chapter 12- Conics 12.1 Distance and Midpoint Formulas 12.2 Circles 12.3 Parabolas Putting the Concepts Together (Sections 12.1 — 12.3) 12.4 Ellipses 12.5 Hyperbolas 12.6 Nonlinear Systems of Equations Chapter 12 Activity Chapter 12 Review Chapter 12 Test Cumulative Review Chapters 1-12 Chapter 13- Sequences, Series, and The Binomial Theorem 13.1 Sequences 13.2 Arithmetic Sequences 13.3 Geometric Sequences and Series Putting the Concepts Together (Section 13.1 — 13.3) 13.4 The Binomial Theorem Chapter 13 Activity Chapter 13 Review Chapter 13 Test Appendix A: Review of Fractions, Decimals, and Percents A.1 Fractions A.2 Decimals and Percents Appendix B: Division of Polynomials; Synthetic Division Appendix C: The Library of Functions Appendix D: Geometry Appendix E: More on Systems of Equations E.1 Systems of Linear Equations in Three Variables E.2 Using Matrices to Solve Systems E.3 Determinants and Cramer’s Rule Table of Contents
Get Elementary and Intermediate Algebra by Michael Sullivan, III, Joliet Junior College Katherine R. Struve, Columbus State Community College Janet Mazzarella, Southwestern College
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