Algebra Books

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Book Synopsis

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Book Synopsis

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Book SynopsisTable of ContentsIndex of Activities Index of Animations Preface Index of Applications Just-in-Time Review 1. All Factors of a Number 2. Prime Factorizations 3. Greatest Common Factor 4. Least Common Multiple 5. Equivalent Expressions and Fraction Notation 6. Mixed Numerals 7. Simplify Fraction Notation 8. Multiply and Divide Fraction Notation 9. Add and Subtract Fraction Notation 10. Convert from Decimal Notation to Fraction Notation 11. Add and Subtract Decimal Notation 12. Multiply and Divide Decimal Notation 13. Convert from Fraction Notation to Decimal Notation 14. Rounding with Decimal Notation 15. Convert Between Percent Notation and Decimal Notation 16. Convert Between Percent Notation and Fraction Notation 17. Exponential Notation 18. Order of Operations 1. Introduction to Real Numbers and Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Real Numbers 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers Mid-Chapter Review 1.5 Multiplication of Real Numbers 1.6 Division of Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions; Order of Operations Summary and Review Test 2. Solving Equations and Inequalities 2.1 Solving Equations: The Addition Principle 2.2 Solving Equations: The Multiplication Principle 2.3 Using the Principles Together 2.4 Formulas Mid-Chapter Review 2.5 Applications of Percent 2.6 Applications and Problem Solving Translating for Success 2.7 Solving Inequalities 2.8 Applications and Problem Solving with Inequalities Summary and Review Test Cumulative Review 3. Graphs of Linear Equations 3.1 Graphs and Applications of Linear Equations 3.2 More with Graphing and Intercepts Visualizing for Success 3.3 Slope and Applications 3.4 Equations of Lines Mid-Chapter Review 3.5 Graphing Using the Slope and y-Intercept 3.6 Parallel Lines and Perpendicular Lines 3.7 Graphing Inequalities in Two Variables Visualizing for Success Summary and Review Test Cumulative Review 4. Polynomials: Operations 4.1 Integers as Exponents 4.2 Exponents and Scientific Notation 4.3 Introduction to Polynomials 4.4 Addition and Subtraction of Polynomials Mid-Chapter Review 4.5 Multiplication of Polynomials 4.6 Special Products Visualizing for Success 4.7 Operations with Polynomials in Several Variables 4.8 Division of Polynomials Summary and Review Test Cumulative Review 5. Polynomials: Factoring 5.1 Introduction to Factoring 5.2 Factoring Trinomials of the Type x2 + bx + c 5.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method 5.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method Mid-Chapter Review 5.5 Factoring Trinomial Squares and Differences of Squares 5.6 Factoring: A General Strategy 5.7 Solving Quadratic Equations by Factoring 5.8 Applications of Quadratic Equations Translating For Success Summary and Review Test Cumulative Review 6. Rational Expressions and Equations 6.1 Multiplying and Simplifying Rational Expressions 6.2 Division and Reciprocals 6.3 Least Common Multiples and Denominators 6.4 Adding Rational Expressions 6.5 Subtracting Rational Expressions Mid-Chapter Review 6.6 Complex Rational Expressions 6.7 Solving Rational Equations 6.8 Applications Using Rational Equations and Proportions Translating for Success 6.9 Direct Variation and Inverse Variation Summary and Review Test Cumulative Review 7. Systems of Equations 7.1 Systems of Equations in Two Variables 7.2 The Substitution Method 7.3 The Elimination Method Mid-Chapter Review 7.4 Applications and Problem Solving 7.5 Applications with Motion Translating for Success Summary and Review Test Cumulative Review 8. Radical Expressions and Equations 8.1 Introduction to Radical Expressions 8.2 Multiplying and Simplifying with Radical Expressions 8.3 Quotients Involving Radical Expressions Mid-Chapter Review 8.4 Addition, Subtraction, and More Multiplication 8.5 Radical Equations 8.6 Applications with Right Triangles Translating for Success Summary and Review Test Cumulative Review 9. Quadratic Equations 9.1 Introduction to Quadratic Equations 9.2 Solving Quadratic Equations by Completing the Square 9.3 The Quadratic Formula Mid-Chapter Review 9.4 Formulas 9.5 Applications and Problem Solving Translating for Success 9.6 Graphs of Quadratic Equations Visualizing for Success 9.7 Functions Summary and Review Test Cumulative Review APPENDIXES A: Factoring Sums or Differences of Cubes B: Finding Equations of Lines: Point—Slope Equation C: Higher Roots D: Sets E: Mean, Median, and Mode F: Inequalities and Interval Notation Answers Guided Solutions Glossary Index

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Book SynopsisTable of Contents1. Review of Basic Concepts 1-1 Basic Operations with Whole Numbers and Decimals 1-2 Exponents, Roots, and Powers of 10 1-3 Order of Operations and Problem Solving 2. Review of Fractions 2-1 Multiples and Factors 2-2 Equivalent Fractions and Decimals 2-3 Adding and Subtracting Fractions and Mixed Numbers 2-4 Multiplying and Dividing Fractions and Mixed Numbers 3. Percents 3-1 Percent and Number Equivalents 3-2 Percentage Problems 3-3 Increase and Decrease CHAPTERS 1 - 3 CUMULATIVE PRACTICE TEST 4. Measurement 4-1 The U.S. Customary System of Measurement 4-2 Introduction to the Metric System 4-3 Time, Temperature, and Other Measures 4-4 Metric–U.S. Customary Comparisons 4-5 Accuracy, Precision, and Error 5. Signed Numbers and Powers of 10 5-1 Adding Signed Numbers 5-2 Subtracting Signed Numbers 5-3 Multiplying and Dividing Signed Numbers 5-4 Signed Rational Numbers 5-5 Powers of 10 5-6 Scientific Notation 6. Statistics 6-1 Reading Circle, Bar, and Line Graphs 6-2 Measures of Central Tendency 6-3 Measures of Dispersion 6-4 Counting Techniques and Simple Probabilities CHAPTERS 4 - 6 CUMULATIVE PRACTICE TEST 7. Linear Equations and Inequalities 7-1 Variable Notation 7-2 Solving Linear Equations 7-3 Solving Linear Equations with Fractions and Decimals by Clearing the Denominators 7-4 Inequalities and Sets 7-5 Solving Linear Inequalities 7-6 Solving Compound Inequalities 8. Formulas, Proportion, and Variation 8-1 Formulas 8-2 Proportion 8-3 Direct and Joint Variation 8-4 Inverse and Combined Variation 9. Linear Equations, Functions, and Inequalities in Two Variables 9-1 Graphical Representation of Linear Equations and Functions 9-2 Graphing Linear Equations and Inequalities in Two Variables Using Alternative Methods 9-3 Slope 9-4 Linear Equation of a Line 10. Systems of Linear Equations and Inequalities 10-1 Solving Systems of Linear Equations and Inequalities Graphically 10-2 Solving Systems of Linear Equations Using the Addition Method 10-3 Solving Systems of Linear Equations Using the Substitution Method 10-4 Problem Solving Using Systems of Linear Equations CHAPTERS 7 - 10 CUMULATIVE PRACTICE TEST 11. Powers and Polynomials 11-1 Laws of Exponents 11-2 Polynomials 11-3 Basic Operations with Polynomials 12. Roots and Radicals 12-1 Irrational Numbers and Real Numbers 12-2 Simplifying Irrational Expressions 12-3 Basic Operations with Square-Root Radicals 12-4 Complex and Imaginary Numbers 13. Factoring 13-1 The Distributive Property and Common Factors 13-2 Factoring Special Products 13-3 Factoring General Trinomials 14. Rational Expressions, Equations, and Inequalities 14-1 Simplifying Rational Expressions 14-2 Multiplying and Dividing Rational Expressions 14-3 Adding and Subtracting Rational Expressions 14-4 Solving Equations and Inequalities with Rational Expressions 15. Quadratic and Other Nonlinear Equations and Inequalities 15-1 Solving Quadratic Equations by the Square-Root Method 15-2 Solving Quadratic Equations by Factoring 15-3 Solving Quadratic Equations by Completing the Square or Using the Formula 15-4 Graphing Quadratic Functions 15-5 Solving Higher-Degree Equations by Factoring 15-6 Solving Quadratic Inequalities 15-7 Solving Equations and Inequalities Containing One Absolute-Value Expression CHAPTERS 11 - 15 CUMULATIVE PRACTICE TEST 16. Exponential and Logarithmic Equations 16-1 Exponential Expressions, Equations, and Formulas 16-2 Logarithmic Expressions, Equations, and Formulas 17. Geometry 17-1 Lines and Angles 17-2 Polygons 17-3 Circles and Radians 17-4 Volume and Surface Area 18. Triangles 18-1 Special Triangle Relationships 18-2 Pythagorean Theorem 18-3 Inscribed and Circumscribed Regular Polygons and Circles 18-4 Distance and Midpoints CHAPTERS 16 - 18 CUMULATIVE PRACTICE TEST 19. Right-Angle Trigonometry 19-1 Trigonometric Functions 19-2 Solving Right Triangles Using the Sine, Cosine, and Tangent Functions 20. Trigonometry with Any Angle 20-1 Vectors 20-2 Trigonometric Functions for Any Angle 20-3 Period and Phase Shift 20-4 Law of Sines 20-5 Law of Cosines CHAPTERS 19 - 20 CUMULATIVE PRACTICE TEST Online Appendices available in MyLab® Math: Appendix A. Measuring Instruments Appendix B. Number Systems Appendix C. Matrices and Determinents Appendix D. Conic Selected Answers to Student Exercise Material Glossary and Index

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Book SynopsisTable of ContentsTable of Contents BASIC CONCEPTS OF ALGEBRA P.1 The Real Numbers and Their Properties P.2 Integer Exponents and Scientific Notation P.3 Polynomials P.4 Factoring Polynomials P.5 Rational Expressions P.6 Rational Exponents and Radicals Chapter P Review and Tests Review Exercises Practice Test EQUATIONS AND INEQUALITIES 1.1 Linear Equations in One Variable 1.2 Applications of Linear Equations: Modeling 1.3 Quadratic Equations 1.4 Complex Numbers: Quadratic Equations with Complex Solutions 1.5 Solving Other Types of Equations 1.6 Inequalities 1.7 Equations and Inequalities Involving Absolute Value Chapter 1 Review and Tests Review Exercises Practice Test A Practice Test B GRAPHS AND FUNCTIONS 2.1 The Coordinate Plane 2.2 Graphs of Equations 2.3 Lines 2.4 Functions 2.5 Properties of Functions 2.6 A Library of Functions 2.7 Transformations of Functions 2.8 Combining Functions; Composite Functions 2.9 Inverse Functions Chapter 2 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—2 POLYNOMIAL AND RATIONAL FUNCTIONS 3.1 Quadratic Functions 3.2 Polynomial Functions 3.3 Dividing Polynomials 3.4 The Real Zeros of a Polynomial Function 3.5 The Complex Zeros of a Polynomial Function 3.6 Rational Functions 3.7 Variation Chapter 3 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—3 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Rules of Logarithms 4.4 Exponential and Logarithmic Equations and Inequalities 4.5 Logarithmic Scales; Modeling Chapter 4 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—4 TRIGONOMETRIC FUNCTIONS 5.1 Angles and Their Measure 5.2 Right-Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle; The Unit Circle 5.4 Graphs of the Sine and Cosine Functions 5.5 Graphs of the Other Trigonometric Functions 5.6 Inverse Trigonometric Functions Chapter 5 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—5 TRIGONOMETRIC IDENTITIES AND EQUATIONS 6.1 Trigonometric Identities 6.2 Sum and Difference Formulas 6.3 Double-Angle and Half-Angle Formulas 6.4 Product-to-Sum and Sum-to-Product Formulas 6.5 Trigonometric Equations I 6.6 Trigonometric Equations II Chapter 6 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—6 APPLICATIONS OF TRIGONOMETRIC FUNCTIONS 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Areas of Polygons Using Trigonometry 7.4 Vectors 7.5 The Dot Product 7.6 Polar Coordinates 7.7 Polar Form of Complex Numbers; DeMoivre’s Theorem Chapter 7 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—7 SYSTEMS OF EQUATIONS AND INEQUALITIES 8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in Three Variables 8.3 Partial-Fraction Decomposition 8.4 Systems of Nonlinear Equations 8.5 Systems of Inequalities 8.6 Linear Programming Chapter 8 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—8 MATRICES AND DETERMINANTS 9.1 Matrices and Systems of Equations 9.2 Matrix Algebra 9.3 The Matrix Inverse 9.4 Determinants and Cramer’s Rule Chapter 9 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—9 CONIC SECTIONS 10.1 Conic Sections: Overview 10.2 The Parabola 10.3 The Ellipse 10.4 The Hyperbola Chapter 10 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—10 FURTHER TOPICS IN ALGEBRA 11.1 Sequences and Series 11.2 Arithmetic Sequences; Partial Sums 11.3 Geometric Sequences and Series 11.4 Mathematical Induction 11.5 The Binomial Theorem 11.6 Counting Principles 11.7 Probability Chapter 11 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—11 Answers to Selected Exercises Credits Index

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Book SynopsisAbout our authors When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics, education or journalism. His ultimate decision was to become a teacher, but after 25 years of teaching at the high school and university levels and 15 years of writing mathematics textbooks, all 3 of his goals have been realized; his love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recordTable of ContentsTable of Contents Linear Functions, Equations, and Inequalities 1.1 Real Numbers and the Rectangular Coordinate System 1.2 Introduction to Relations and Functions Reviewing Basic Concepts (Sections 1.1–1.2) 1.3 Linear Functions 1.4 Equations of Lines and Linear Models Reviewing Basic Concepts (Sections 1.3–1.4) 1.5 Linear Equations and Inequalities Unifying Linear Functions 1.6 Applications of Linear Functions Reviewing Basic Concepts (Sections 1.5–1.6) Summary Review Exercises Test Analysis of Graphs of Functions 2.1 Graphs of Basic Functions and Relations; Symmetry 2.2 Vertical and Horizontal Shifts of Graphs 2.3 Stretching, Shrinking, and Reflecting Graphs Reviewing Basic Concepts (Sections 2.1–2.3) 2.4 Absolute Value Functions Unifying Absolute Value Functions 2.5 Piecewise-Defined Functions 2.6 Operations and Composition Reviewing Basic Concepts (Sections 2.4–2.6) Summary Review Exercises Test Quadratic Functions 3.1 Complex Numbers 3.2 Quadratic Functions and Graphs Reviewing Basic Concepts (Sections 3.1–3.2) 3.3 Quadratic Equations and Inequalities Unifying Quadratic Functions 3.4 Applications of Quadratic Functions and Models Reviewing Basic Concepts (Sections 3.3–3.4) Summary Review Exercises Test Polynomial Functions of Higher Degree 4.1 Graphs of Polynomial Functions 4.2 Topics in the Theory of Polynomial Functions (I) Reviewing Basic Concepts (Sections 4.1–4.2) 4.3 Topics in the Theory of Polynomial Functions (II) 4.4 Polynomial Equations, Inequalities, Applications, and Models Reviewing Basic Concepts (Sections 4.3–4.4) Unifying Polynomial Functions Summary Review Exercises Test Rational, Power, and Root Functions 5.1 Rational Functions and Graphs (I) 5.2 Rational Functions and Graphs (II) 5.3 Rational Equations, Inequalities, Models, and Applications 5.4 Functions Defined by Powers and Roots 5.5 Equations, Inequalities, and Applications Involving Root Functions Reviewing Basic Concepts (Sections 5.4–5.5) Unifying Root Functions Summary Review Exercises Test Inverse, Exponential, and Logarithmic Functions 6.1 Inverse Functions 6.2 Exponential Functions 6.3 Logarithms and Their Properties 6.4 Logarithmic Functions 6.5 Exponential and Logarithmic Equations and Inequalities 6.6 Further Applications and Modeling with Exponential and Logarithmic Functions Reviewing Basic Concepts (Sections 6.4–6.6) Summary Review Exercises Test Systems and Matrices 7.1 Systems of Equations 7.2 Solution of Linear Systems in Three Variables 7.3 Solution of Linear Systems by Row Transformations Reviewing Basic Concepts (Sections 7.1–7.3) 7.4 Matrix Properties and Operations 7.5 Determinants and Cramer’s Rule 7.6 Solution of Linear Systems by Matrix Inverses Reviewing Basic Concepts (Sections 7.4–7.6) 7.7 Systems of Inequalities and Linear Programming 7.8 Partial Fractions Reviewing Basic Concepts (Sections 7.7–7.8) Summary Review Exercises Test Conic Sections, Nonlinear Systems, and Parametric Equations 8.1 Circles Revisited and Parabolas 8.2 Ellipses and Hyperbolas Reviewing Basic Concepts (Sections 8.1–8.2) 8.3 The Conic Sections and Nonlinear Systems 8.4 Introduction to Parametric Equations Reviewing Basic Concepts (Sections 8.3–8.4) Summary Review Exercises Test Further Topics in Algebra 9.1 Sequences and Series 9.2 Arithmetic Sequences and Series 9.3 Geometric Sequences and Series Reviewing Basic Concepts (Sections 9.1–9.3) 9.4 Counting Theory 9.5 The Binomial Theorem Reviewing Basic Concepts (Sections 9.4–9.5) 9.6 Mathematical Induction 9.7 Probability Reviewing Basic Concepts (Sections 9.6–9.7) Summary Review Exercises Test Review: Basic Algebraic Concepts R.2 Review of Exponents and Polynomials R.3 Review of Factoring R.4 Review of Rational Expressions R.5 Review of Negative and Rational Exponents R.6 Review of Radicals Test Appendix: Formulas from Geometry Instructor’s Answers Answers to Selected Exercises* Index *In the AIE, Instructor’s Answers replaces Answers to Selected Exercises.

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Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana UniversityPurdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular

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Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana UniversityPurdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular

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Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana UniversityPurdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particularTable of ContentsTable of Contents Index of Activities Index of Animations Preface Index of Applications JUST-IN-TIME REVIEW The Set of Real Numbers Order for the Real Numbers Graphing Inequalities on the Number Line Absolute Value Add Real Numbers Opposites, or Additive Inverses Subtract Real Numbers Multiply Real Numbers Divide Real Numbers Exponential Notation (Part 1) Order of Operations Translate to an Algebraic Expression Evaluate Algebraic Expressions Equivalent Fraction Expressions The Commutative Laws and the Associative Laws The Distributive Laws Collecting Like Terms Removing Parentheses and Collecting Like Terms Exponential Notation (Part 2) Scientific Notation SOLVING LINEAR EQUATIONS AND INEQUALITIES 1.1 Solving Equations 1.2 Formulas and Applications 1.3 Applications and Problem Solving Mid-Chapter Review 1.4 Sets, Inequalities, and Interval Notation Translating for Success 1.5 Intersections, Unions, and Compound Inequalities 1.6 Absolute-Value Equations and Inequalities Summary and Review Test GRAPHS, FUNCTIONS, AND APPLICATIONS 2.1 Graphs of Equations 2.2 Functions and Graphs 2.3 Finding Domain and Range Mid-Chapter Review 2.4 Linear Functions: Graphs and Slope 2.5 More on Graphing Linear Equations Visualizing for Success 2.6 Finding Equations of Lines; Applications Summary and Review Test Cumulative Review SYSTEMS OF EQUATIONS 3.1 Systems of Equations in Two Variables 3.2 Solving by Substitution 3.3 Solving by Elimination 3.4 Solving Applied Problems: Two Equations Translating for Success Mid-Chapter Review 3.5 Systems of Equations in Three Variables 3.6 Solving Applied Problems: Three Equations 3.7 Systems of Inequalities in Two Variables Visualizing for Success Summary and Review Test Cumulative Review POLYNOMIALS AND POLYNOMIAL FUNCTIONS 4.1 Introduction to Polynomials and Polynomial Functions 4.2 Multiplication of Polynomials 4.3 Introduction to Factoring 4.4 Factoring Trinomials: x2 + bx + c Mid-Chapter Review 4.5 Factoring Trinomials: ax2 + bx + c, a ≠1 4.6 Special Factoring Visualizing for Success 4.7 Factoring: A General Strategy 4.8 Applications of Polynomial Equations and Functions Translating for Success Summary and Review Test Cumulative Review RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS 5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying 5.2 LCMs, LCDs, Addition, and Subtraction 5.3 Division of Polynomials 5.4 Complex Rational Expressions Mid-Chapter Review 5.5 Solving Rational Equations 5.6 Applications and Proportions Translating for Success 5.7 Formulas and Applications 5.8 Variation and Applications Summary and Review Test Cumulative Review RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS 6.1 Radical Expressions and Functions 6.2 Rational Numbers as Exponents 6.3 Simplifying Radical Expressions 6.4 Addition, Subtraction, and More Multiplication Mid-Chapter Review 6.5 More on Division of Radical Expressions 6.6 Solving Radical Equations 6.7 Applications Involving Powers and Roots Translating for Success 6.8 The Complex Numbers Summary and Review Test Cumulative Review QUADRATIC EQUATIONS AND FUNCTIONS 7.1 The Basics of Solving Quadratic Equations 7.2 The Quadratic Formula 7.3 Applications Involving Quadratic Equations Translating for Success 7.4 More on Quadratic Equations Mid-Chapter Review 7.5 Graphing f(x) = a(x - h)2 + k 7.6 Graphingf(x) = a x2 + bx + c Visualizing for Success 7.7 Mathematical Modeling with Quadratic Functions 7.8 Polynomial Inequalities and Rational Inequalities Summary and Review Test Cumulative Review EXPONENTIAL FUNCTIONS AND LOGARITHMIC FUNCTIONS 8.1 Exponential Functions 8.2 Composite Functions and Inverse Functions 8.3 Logarithmic Functions 8.4 Properties of Logarithmic Functions Mid-Chapter Review 8.5 Natural Logarithmic Functions Visualizing for Success 8.6 Solving Exponential Equations and Logarithmic Equations 8.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions Translating for Success Summary and Review Test Cumulative Review CONIC SECTIONS 9.1 Parabolas and Circles 9.2 Ellipses Mid-Chapter Review 9.3 Hyperbolas Visualizing for Success 9.4 Nonlinear Systems of Equations Summary and Review Test Cumulative Review APPENDIXES Fraction Notation Determinants and Cramer’s Rule Elimination Using Matrices The Algebra of Functions Answers Guided Solutions Glossary Index

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Book SynopsisAbout our author Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association's Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators. Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most teachable moment (as they prepare for a test) along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics,Table of ContentsTable of Contents The Whole Numbers 1.1 Study Skill Tips for Success in Mathematics 1.2 Place Value, Names for Numbers, and Reading Tables 1.3 Adding and Subtracting Whole Numbers, and Perimeter 1.4 Rounding and Estimating 1.5 Multiplying Whole Numbers and Area 1.6 Dividing Whole Numbers Integrated Review–Operations on Whole Numbers 1.7 Exponents and Order of Operations 1.8 Introduction to Variables, Algebraic Expressions, and Equations Integers and Introduction to Solving Equations 2.1 Introduction to Integers 2.2 Adding Integers 2.3 Subtracting Integers 2.4 Multiplying and Dividing Integers Integrated Review–Integers 2.5 Order of Operations 2.6 Solving Equations: The Addition and Multiplication Properties Solving Equations and Problem Solving 3.1 Simplifying Algebraic Expressions 3.2 Solving Equations: Review of the Addition and Multiplication Properties Integrated Review–Expressions and Equations 3.3 Solving Linear Equations in One Variable 3.4 Linear Equations in One Variable and Problem Solving Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers 4.2 Factors and Simplest Form 4.3 Multiplying and Dividing Fractions 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions 4.5 Adding and Subtracting Unlike Fractions Integrated Review–Summary on Fractions and Operations on Fractions 4.6 Complex Fractions and Review of Order of Operations 4.7 Operations on Mixed Numbers 4.8 Solving Equations Containing Fractions Decimals 5.1 Introduction to Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying Decimals and Circumference of a Circle 5.4 Dividing Decimals Integrated Review–Operations on Decimals 5.5 Fractions, Decimals, and Order of Operations 5.6 Solving Equations Containing Decimals 5.7 Decimal Applications: Mean, Median, and Mode Ratio, Proportion, and Percent 6.1 Ratio and Proportion 6.2 Percents, Decimals, and Fractions 6.3 Solving Percent Problems with Equations 6.4 Solving Percent Problems with Proportions Integrated Review–Ratio, Proportion, and Percent 6.5 Applications of Percent 6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount 6.7 Percent and Problem Solving: Interest Graphs, Triangle Applications, and Introduction to Statistics and Probability 7.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics 7.2 Circle Graphs Integrated Review–Reading Graphs 7.3 Square Roots and the Pythagorean Theorem 7.4 Congruent and Similar Triangles 7.5 Counting and Introduction to Probability Geometry and Measurement 8.1 Lines and Angles 8.2 Perimeter 8.3 Area, Volume, and Surface Area Integrated Review–Geometry Concepts 8.4 Linear Measurement 8.5 Weight and Mass 8.6 Capacity 8.7 Temperature and Conversions Between the U.S. and Metric Systems Equations, Inequalities, and Problem Solving 9.1 Symbols and Sets of Numbers 9.2 Properties of Real Numbers 9.3 Further Solving Linear Equations Integrated Review–Real Numbers and Solving Linear Equations 9.4 Further Problem Solving 9.5 Formulas and Problem Solving 9.6 Linear Inequalities and Problem Solving Exponents and Polynomials 10.1 Exponents 10.2 Negative Exponents and Scientific Notation 10.3 Introduction to Polynomials 10.4 Adding and Subtracting Polynomials 10.5 Multiplying Polynomials 10.6 Special Products Integrated Review–Exponents and Operations on Polynomials 10.7 Dividing Polynomials Factoring Polynomials 11.1 The Greatest Common Factor and Factoring by Grouping 11.2 Factoring Trinomials of the Form x2+ bx + c 11.3 Factoring Trinomials of the Form ax2+ bx + c 11.4 Factoring Trinomials of the Form ax2+ bx + c by Grouping 11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares Integrated Review–Choosing a Factoring Strategy 11.6 Solving Quadratic Equations by Factoring 11.7 Quadratic Equations and Problem Solving Rational Expressions 12.1 Simplifying Rational Expressions 12.2 Multiplying and Dividing Rational Expressions 12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 12.4 Adding and Subtracting Rational Expressions with Different Denominators 12.5 Solving Equations Containing Rational Expressions Integrated Review–Summary on Rational Expressions 12.6 Rational Equations and Problem Solving 12.7 Simplifying Complex Fractions Graphing Equations and Inequalities 13.1 The Rectangular Coordinate System 13.2 Graphing Linear Equations 13.3 Intercepts 13.4 Slope and Rate of Change 13.5 Equations of Lines Integrated Review–Summary on Linear Equations 13.6 Introduction to Functions 13.7 Graphing Linear Inequalities in Two Variables 13.8 Direct and Inverse Variation Systems of Equations 14.1 Solving Systems of Linear Equations by Graphing 14.2 Solving Systems of Linear Equations by Substitution 14.3 Solving Systems of Linear Equations by Addition Integrated Review–Summary on Solving Systems of Equations 14.4 Systems of Linear Equations and Problem Solving Roots and Radicals 15.1 Introduction to Radicals 15.2 Simplifying Radicals 15.3 Adding and Subtracting Radicals 15.4 Multiplying and Dividing Radicals Integrated Review–Simplifying Radicals 15.5 Solving Equations Containing Radicals 15.6 Radical Equations and Problem Solving Quadratic Equations 16.1 Solving Quadratic Equations by the Square Root Property 16.2 Solving Quadratic Equations by Completing the Square 16.3 Solving Quadratic Equations by the Quadratic Formula Integrated Review–Summary on Solving Quadratic Equations 16.4 Graphing Quadratic Equations in Two Variables Appendix A: Tables A.1 Table of Geometric Figures A.2 Table of Percents, Decimals, and Fraction Equivalents A.3 Table on Finding Common Percents of a Number A.4 Table of Squares and Square Roots Appendix B: Factoring Sums and Differences of Cubes Appendix C: Mixture and Uniform Motion Problem Solving Appendix D: Systems of Linear Inequalities Appendix E: Geometric Formulas Student Resources Study Skills Builders Bigger Picture–Study Guide Outline Practice Final Exam

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Book SynopsisElayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association's Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.   Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most teachable moment as they prepare for a testalong with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, includinTable of ContentsTable of Contents The Whole Numbers 1.1 Study Skill Tips for Success in Mathematics 1.2 Place Value, Names for Numbers, and Reading Tables 1.3 Adding and Subtracting Whole Numbers, and Perimeter 1.4 Rounding and Estimating 1.5 Multiplying Whole Numbers and Area 1.6 Dividing Whole Numbers Integrated Review–Operations on Whole Numbers 1.7 Exponents and Order of Operations 1.8 Introduction to Variables, Algebraic Expressions, and Equations Integers and Introduction to Solving Equations 2.1 Introduction to Integers 2.2 Adding Integers 2.3 Subtracting Integers 2.4 Multiplying and Dividing Integers Integrated Review–Integers 2.5 Order of Operations 2.6 Solving Equations: The Addition and Multiplication Properties Solving Equations and Problem Solving 3.1 Simplifying Algebraic Expressions 3.2 Solving Equations: Review of the Addition and Multiplication Properties Integrated Review–Expressions and Equations 3.3 Solving Linear Equations in One Variable 3.4 Linear Equations in One Variable and Problem Solving Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers 4.2 Factors and Simplest Form 4.3 Multiplying and Dividing Fractions 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions 4.5 Adding and Subtracting Unlike Fractions Integrated Review–Summary on Fractions and Operations on Fractions 4.6 Complex Fractions and Review of Order of Operations 4.7 Operations on Mixed Numbers 4.8 Solving Equations Containing Fractions Decimals 5.1 Introduction to Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying Decimals and Circumference of a Circle 5.4 Dividing Decimals Integrated Review–Operations on Decimals 5.5 Fractions, Decimals, and Order of Operations 5.6 Solving Equations Containing Decimals 5.7 Decimal Applications: Mean, Median, and Mode Ratio, Proportion, and Percent 6.1 Ratio and Proportion 6.2 Percents, Decimals, and Fractions 6.3 Solving Percent Problems with Equations 6.4 Solving Percent Problems with Proportions Integrated Review–Ratio, Proportion, and Percent 6.5 Applications of Percent 6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount 6.7 Percent and Problem Solving: Interest Graphs, Triangle Applications, and Introduction to Statistics and Probability 7.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics 7.2 Circle Graphs Integrated Review–Reading Graphs 7.3 Square Roots and the Pythagorean Theorem 7.4 Congruent and Similar Triangles 7.5 Counting and Introduction to Probability Geometry and Measurement 8.1 Lines and Angles 8.2 Perimeter 8.3 Area, Volume, and Surface Area Integrated Review–Geometry Concepts 8.4 Linear Measurement 8.5 Weight and Mass 8.6 Capacity 8.7 Temperature and Conversions Between the U.S. and Metric Systems Equations, Inequalities, and Problem Solving 9.1 Symbols and Sets of Numbers 9.2 Properties of Real Numbers 9.3 Further Solving Linear Equations Integrated Review–Real Numbers and Solving Linear Equations 9.4 Further Problem Solving 9.5 Formulas and Problem Solving 9.6 Linear Inequalities and Problem Solving Exponents and Polynomials 10.1 Exponents 10.2 Negative Exponents and Scientific Notation 10.3 Introduction to Polynomials 10.4 Adding and Subtracting Polynomials 10.5 Multiplying Polynomials 10.6 Special Products Integrated Review–Exponents and Operations on Polynomials 10.7 Dividing Polynomials Factoring Polynomials 11.1 The Greatest Common Factor and Factoring by Grouping 11.2 Factoring Trinomials of the Form x2+ bx + c 11.3 Factoring Trinomials of the Form ax2+ bx + c 11.4 Factoring Trinomials of the Form ax2+ bx + c by Grouping 11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares Integrated Review–Choosing a Factoring Strategy 11.6 Solving Quadratic Equations by Factoring 11.7 Quadratic Equations and Problem Solving Rational Expressions 12.1 Simplifying Rational Expressions 12.2 Multiplying and Dividing Rational Expressions 12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 12.4 Adding and Subtracting Rational Expressions with Different Denominators 12.5 Solving Equations Containing Rational Expressions Integrated Review–Summary on Rational Expressions 12.6 Rational Equations and Problem Solving 12.7 Simplifying Complex Fractions Graphing Equations and Inequalities 13.1 The Rectangular Coordinate System 13.2 Graphing Linear Equations 13.3 Intercepts 13.4 Slope and Rate of Change 13.5 Equations of Lines Integrated Review–Summary on Linear Equations 13.6 Introduction to Functions 13.7 Graphing Linear Inequalities in Two Variables 13.8 Direct and Inverse Variation Systems of Equations 14.1 Solving Systems of Linear Equations by Graphing 14.2 Solving Systems of Linear Equations by Substitution 14.3 Solving Systems of Linear Equations by Addition Integrated Review–Summary on Solving Systems of Equations 14.4 Systems of Linear Equations and Problem Solving Roots and Radicals 15.1 Introduction to Radicals 15.2 Simplifying Radicals 15.3 Adding and Subtracting Radicals 15.4 Multiplying and Dividing Radicals Integrated Review–Simplifying Radicals 15.5 Solving Equations Containing Radicals 15.6 Radical Equations and Problem Solving Quadratic Equations 16.1 Solving Quadratic Equations by the Square Root Property 16.2 Solving Quadratic Equations by Completing the Square 16.3 Solving Quadratic Equations by the Quadratic Formula Integrated Review–Summary on Solving Quadratic Equations 16.4 Graphing Quadratic Equations in Two Variables Appendix A: Tables A.1 Table of Geometric Figures A.2 Table of Percents, Decimals, and Fraction Equivalents A.3 Table on Finding Common Percents of a Number A.4 Table of Squares and Square Roots Appendix B: Factoring Sums and Differences of Cubes Appendix C: Mixture and Uniform Motion Problem Solving Appendix D: Systems of Linear Inequalities Appendix E: Geometric Formulas Student Resources Study Skills Builders Bigger Picture–Study Guide Outline Practice Final Exam

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Book SynopsisAbout our author Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association's Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators. Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most teachable moment (as they prepare for a test) along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics,Table of ContentsTable of Contents The Whole Numbers 1.1 Study Skill Tips for Success in Mathematics 1.2 Place Value, Names for Numbers, and Reading Tables 1.3 Adding and Subtracting Whole Numbers, and Perimeter 1.4 Rounding and Estimating 1.5 Multiplying Whole Numbers and Area 1.6 Dividing Whole Numbers Integrated Review–Operations on Whole Numbers 1.7 Exponents and Order of Operations 1.8 Introduction to Variables, Algebraic Expressions, and Equations Integers and Introduction to Solving Equations 2.1 Introduction to Integers 2.2 Adding Integers 2.3 Subtracting Integers 2.4 Multiplying and Dividing Integers Integrated Review–Integers 2.5 Order of Operations 2.6 Solving Equations: The Addition and Multiplication Properties Solving Equations and Problem Solving 3.1 Simplifying Algebraic Expressions 3.2 Solving Equations: Review of the Addition and Multiplication Properties Integrated Review–Expressions and Equations 3.3 Solving Linear Equations in One Variable 3.4 Linear Equations in One Variable and Problem Solving Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers 4.2 Factors and Simplest Form 4.3 Multiplying and Dividing Fractions 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions 4.5 Adding and Subtracting Unlike Fractions Integrated Review–Summary on Fractions and Operations on Fractions 4.6 Complex Fractions and Review of Order of Operations 4.7 Operations on Mixed Numbers 4.8 Solving Equations Containing Fractions Decimals 5.1 Introduction to Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying Decimals and Circumference of a Circle 5.4 Dividing Decimals Integrated Review–Operations on Decimals 5.5 Fractions, Decimals, and Order of Operations 5.6 Solving Equations Containing Decimals 5.7 Decimal Applications: Mean, Median, and Mode Ratio, Proportion, and Triangle Applications 6.1 Ratios and Rates 6.2 Proportions Integrated Review–Ratio, Rate, and Proportion 6.3 Proportions and Problem Solving 6.4 Square Roots and the Pythagorean Theorem 6.5 Congruent and Similar Triangles Percent 7.1 Percents, Decimals, and Fractions 7.2 Solving Percent Problems with Equations 7.3 Solving Percent Problems with Proportions Integrated Review–Percent and Percent Problems 7.4 Applications of Percent 7.5 Percent and Problem Solving: Sales Tax, Commission, and Discount 7.6 Percent and Problem Solving: Interest Graphing and Introduction to Statistics and Probability 8.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics 8.2 Circle Graphs 8.3 The Rectangular Coordinate System and Paired Data Integrated Review–Reading Graphs 8.4 Graphing Linear Equations in Two Variables 8.5 Counting and Introduction to Probability Geometry and Measurement 9.1 Lines and Angles 9.2 Perimeter 9.3 Area, Volume, and Surface Area Integrated Review–Geometry Concepts 9.4 Linear Measurement 9.5 Weight and Mass 9.6 Capacity 9.7 Temperature and Conversions Between the U.S. and Metric Systems Exponents and Polynomials 10.1 Adding and Subtracting Polynomials 10.2 Multiplication Properties of Exponents Integrated Review–Operations on Polynomials 10.3 Multiplying Polynomials 10.4 Introduction to Factoring Polynomials Appendix A: Tables A.1 Tables of Geometric Figures A.2 Table of Percents, Decimals, and Fraction Equivalents A.3 Table on Finding Common Percents of a Number A.4 Table of Squares and Square Roots Appendix B: Quotient Rule and Negative Exponents Appendix C: Scientific Notation Appendix D: Geometric Formulas Student Resources Study Skills Builders Bigger Picture–Study Guide Outline Practice Final Exam

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Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana UniversityPurdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particularTable of ContentsTable of Contents Index of Applications Preface Whole Numbers 1.1 Standard Notation 1.2 Addition 1.3 Subtraction 1.4 Multiplication 1.5 Division Mid-Chapter Review 1.6 Rounding and Estimating; Order 1.7 Solving Equations 1.8 Applications and Problem Solving Translating for Success 1.9 Exponential Notation and Order of Operations Summary and Review Test Fraction Notation: Multiplication and Division 2.1 Factorizations 2.2 Divisibility 2.3 Fractions and Fraction Notation 2.4 Multiplication and Applications 2.5 Simplifying Mid-Chapter Review 2.6 Multiplying, Simplifying, and Applications 2.7 Division and Applications Translating for Success Summary and Review Test Fraction Notation and Mixed Numerals 3.1 Least Common Multiples 3.2 Addition and Applications 3.3 Subtraction, Order, and Applications Translating for Success 3.4 Mixed Numerals Mid-Chapter Review 3.5 Addition and Subtraction Using Mixed Numerals; Applications 3.6 Multiplication and Division Using Mixed Numerals; Applications Translating for Success 3.7 Order of Operations, Complex Fractions, and Estimation Summary and Review Test Cumulative Review Decimal Notation 4.1 Decimal Notation, Order, and Rounding 4.2 Addition and Subtraction 4.3 Multiplication 4.4 Division Mid-Chapter Review 4.5 Converting from Fraction Notation to Decimal Notation 4.6 Estimating 4.7 Applications and Problem Solving Translating for Success Summary and Review Test Cumulative Review Ratio and Proportion 5.1 Introduction to Ratios 5.2 Rates and Unit Prices 5.3 Proportions Mid-Chapter Review 5.4 Applications of Proportions Translating for Success 5.5 Geometric Applications Summary and Review Test Cumulative Review Percent Notation 6.1 Percent Notation 6.2 Percent Notation and Fraction Notation 6.3 Solving Percent Problems Using Percent Equations 6.4 Solving Percent Problems Using Proportions Mid-Chapter Review 6.5 Applications of Percent Translating for Success 6.6 Sales Tax, Commission, and Discount 6.7 Simple Interest and Compound Interest; Credit Cards Summary and Review Test Cumulative Review Data, Graphs, and Statistics 7.1 Interpreting Data from Tables and Graphs 7.2 Interpreting and Drawing Bar Graphs and Line Graphs 7.3 Descriptive Statistics Mid-Chapter Review 7.4 Frequency Distributions and Histograms 7.5 Probability Translating for Success Summary and Review Test Cumulative Review Measurement 8.1 Linear Measures: American Units 8.2 Linear Measures: The Metric System 8.3 Converting Between American Units and Metric Units Mid-Chapter Review 8.4 Weight and Mass; Medical Applications 8.5 Capacity: Medical Applications 8.6 Time and Temperature 8.7 Converting Units of Area Translating for Success Summary and Review Test Cumulative Review Geometry 9.1 Perimeter 9.2 Area 9.3 Circles Mid-Chapter Review 9.4 Volume 9.5 Angles and Triangles 9.6 Square Roots and the Pythagorean Theorem Translating for Success Summary and Review Test Cumulative Review Real Numbers 10.1 The Real Numbers 10.2 Addition of Real Numbers 10.3 Subtraction of Real Numbers Mid-Chapter Review 10.4 Multiplication of Real Numbers 10.5 Division of Real Numbers and Order of Operations Translating for Success Summary and Review Test Cumulative Review Algebra: Solving Equations and Problems 11.1 Introduction to Algebra 11.2 Solving Equations: The Addition Principle 11.3 Solving Equations: The Multiplication Principle Mid-Chapter Review 11.4 Using the Principles Together 11.5 Clearing Fractions and Decimals 11.6 Applications and Problem Solving Translating for Success Summary and Review Test Cumulative Review Answers Glossary Photo Credits Index

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Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana UniversityPurdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particularTable of ContentsTable of Contents Index of Applications Preface Whole Numbers 1.1 Standard Notation 1.2 Addition 1.3 Subtraction 1.4 Multiplication 1.5 Division Mid-Chapter Review 1.6 Rounding and Estimating; Order 1.7 Solving Equations 1.8 Applications and Problem Solving Translating for Success 1.9 Exponential Notation and Order of Operations Summary and Review Test Fraction Notation: Multiplication and Division 2.1 Factorizations 2.2 Divisibility 2.3 Fractions and Fraction Notation 2.4 Multiplication and Applications 2.5 Simplifying Mid-Chapter Review 2.6 Multiplying, Simplifying, and Applications 2.7 Division and Applications Translating for Success Summary and Review Test Fraction Notation and Mixed Numerals 3.1 Least Common Multiples 3.2 Addition and Applications 3.3 Subtraction, Order, and Applications Translating for Success 3.4 Mixed Numerals Mid-Chapter Review 3.5 Addition and Subtraction Using Mixed Numerals; Applications 3.6 Multiplication and Division Using Mixed Numerals; Applications Translating for Success 3.7 Order of Operations, Complex Fractions, and Estimation Summary and Review Test Cumulative Review Decimal Notation 4.1 Decimal Notation, Order, and Rounding 4.2 Addition and Subtraction 4.3 Multiplication 4.4 Division Mid-Chapter Review 4.5 Converting from Fraction Notation to Decimal Notation 4.6 Estimating 4.7 Applications and Problem Solving Translating for Success Summary and Review Test Cumulative Review Ratio and Proportion 5.1 Introduction to Ratios 5.2 Rates and Unit Prices 5.3 Proportions Mid-Chapter Review 5.4 Applications of Proportions Translating for Success 5.5 Geometric Applications Summary and Review Test Cumulative Review Percent Notation 6.1 Percent Notation 6.2 Percent Notation and Fraction Notation 6.3 Solving Percent Problems Using Percent Equations 6.4 Solving Percent Problems Using Proportions Mid-Chapter Review 6.5 Applications of Percent Translating for Success 6.6 Sales Tax, Commission, and Discount 6.7 Simple Interest and Compound Interest; Credit Cards Summary and Review Test Cumulative Review Data, Graphs, and Statistics 7.1 Interpreting Data from Tables and Graphs 7.2 Interpreting and Drawing Bar Graphs and Line Graphs 7.3 Descriptive Statistics Mid-Chapter Review 7.4 Frequency Distributions and Histograms 7.5 Probability Translating for Success Summary and Review Test Cumulative Review Measurement 8.1 Linear Measures: American Units 8.2 Linear Measures: The Metric System 8.3 Converting Between American Units and Metric Units Mid-Chapter Review 8.4 Weight and Mass; Medical Applications 8.5 Capacity: Medical Applications 8.6 Time and Temperature 8.7 Converting Units of Area Translating for Success Summary and Review Test Cumulative Review Geometry 9.1 Perimeter 9.2 Area 9.3 Circles Mid-Chapter Review 9.4 Volume 9.5 Angles and Triangles 9.6 Square Roots and the Pythagorean Theorem Translating for Success Summary and Review Test Cumulative Review Real Numbers 10.1 The Real Numbers 10.2 Addition of Real Numbers 10.3 Subtraction of Real Numbers Mid-Chapter Review 10.4 Multiplication of Real Numbers 10.5 Division of Real Numbers and Order of Operations Translating for Success Summary and Review Test Cumulative Review Algebra: Solving Equations and Problems 11.1 Introduction to Algebra 11.2 Solving Equations: The Addition Principle 11.3 Solving Equations: The Multiplication Principle Mid-Chapter Review 11.4 Using the Principles Together 11.5 Clearing Fractions and Decimals 11.6 Applications and Problem Solving Translating for Success Summary and Review Test Cumulative Review Answers Glossary Photo Credits Index

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Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana UniversityPurdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particularTable of ContentsTable of Contents Index of Activities Index of Animations Preface Index of Applications Just-in-Time Review All Factors of a Number Prime Factorizations Greatest Common Factor Least Common Multiple Equivalent Expressions and Fraction Notation Mixed Numerals Simplify Fraction Notation Multiply and Divide Fraction Notation Add and Subtract Fraction Notation Convert from Decimal Notation to Fraction Notation Add and Subtract Decimal Notation Multiply and Divide Decimal Notation Convert from Fraction Notation to Decimal Notation Rounding with Decimal Notation Convert Between Percent Notation and Decimal Notation Convert Between Percent Notation and Fraction Notation Exponential Notation Order of Operations Introduction to Real Numbers and Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Real Numbers 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers Mid-Chapter Review 1.5 Multiplication of Real Numbers 1.6 Division of Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions; Order of Operations Summary and Review Test Solving Equations and Inequalities 2.1 Solving Equations: The Addition Principle 2.2 Solving Equations: The Multiplication Principle 2.3 Using the Principles Together 2.4 Formulas Mid-Chapter Review 2.5 Applications of Percent 2.6 Applications and Problem Solving Translating for Success 2.7 Solving Inequalities 2.8 Applications and Problem Solving with Inequalities Summary and Review Test Cumulative Review Graphs of Linear Equations 3.1 Graphs and Applications of Linear Equations 3.2 More with Graphing and Intercepts Visualizing for Success 3.3 Slope and Applications 3.4 Equations of Lines Mid-Chapter Review 3.5 Graphing Using the Slope and y-Intercept 3.6 Parallel Lines and Perpendicular Lines 3.7 Graphing Inequalities in Two Variables Visualizing for Success Summary and Review Test Cumulative Review Polynomials: Operations 4.1 Integers as Exponents 4.2 Exponents and Scientific Notation 4.3 Introduction to Polynomials 4.4 Addition and Subtraction of Polynomials Mid-Chapter Review 4.5 Multiplication of Polynomials 4.6 Special Products Visualizing for Success 4.7 Operations with Polynomials in Several Variables 4.8 Division of Polynomials Summary and Review Test Cumulative Review Polynomials: Factoring 5.1 Introduction to Factoring 5.2 Factoring Trinomials of the Type x2 + bx + c 5.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method 5.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method Mid-Chapter Review 5.5 Factoring Trinomial Squares and Differences of Squares 5.6 Factoring: A General Strategy 5.7 Solving Quadratic Equations by Factoring 5.8 Applications of Quadratic Equations Translating For Success Summary and Review Test Cumulative Review Rational Expressions and Equations 6.1 Multiplying and Simplifying Rational Expressions 6.2 Division and Reciprocals 6.3 Least Common Multiples and Denominators 6.4 Adding Rational Expressions 6.5 Subtracting Rational Expressions Mid-Chapter Review 6.6 Complex Rational Expressions 6.7 Solving Rational Equations 6.8 Applications Using Rational Equations and Proportions Translating for Success 6.9 Direct Variation and Inverse Variation Summary and Review Test Cumulative Review Systems of Equations 7.1 Systems of Equations in Two Variables 7.2 The Substitution Method 7.3 The Elimination Method Mid-Chapter Review 7.4 Applications and Problem Solving 7.5 Applications with Motion Translating for Success Summary and Review Test Cumulative Review Radical Expressions and Equations 8.1 Introduction to Radical Expressions 8.2 Multiplying and Simplifying with Radical Expressions 8.3 Quotients Involving Radical Expressions Mid-Chapter Review 8.4 Addition, Subtraction, and More Multiplication 8.5 Radical Equations 8.6 Applications with Right Triangles Translating for Success Summary and Review Test Cumulative Review Quadratic Equations 9.1 Introduction to Quadratic Equations 9.2 Solving Quadratic Equations by Completing the Square 9.3 The Quadratic Formula Mid-Chapter Review 9.4 Formulas 9.5 Applications and Problem Solving Translating for Success 9.6 Graphs of Quadratic Equations Visualizing for Success 9.7 Functions Summary and Review Test Cumulative Review APPENDIXES Factoring Sums or Differences of Cubes Finding Equations of Lines: Point—Slope Equation Higher Roots Sets Mean, Median, and Mode Inequalities and Interval Notation Answers Guided Solutions Glossary Index

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Book SynopsisTable of ContentsTable of Contents Index of Activities Index of Animations Preface Index of Applications Just-in-Time Review All Factors of a Number Prime Factorizations Greatest Common Factor Least Common Multiple Equivalent Expressions and Fraction Notation Mixed Numerals Simplify Fraction Notation Multiply and Divide Fraction Notation Add and Subtract Fraction Notation Convert from Decimal Notation to Fraction Notation Add and Subtract Decimal Notation Multiply and Divide Decimal Notation Convert from Fraction Notation to Decimal Notation Rounding with Decimal Notation Convert Between Percent Notation and Decimal Notation Convert Between Percent Notation and Fraction Notation Exponential Notation Order of Operations Introduction to Real Numbers and Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Real Numbers 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers Mid-Chapter Review 1.5 Multiplication of Real Numbers 1.6 Division of Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions; Order of Operations Summary and Review Test Solving Equations and Inequalities 2.1 Solving Equations: The Addition Principle 2.2 Solving Equations: The Multiplication Principle 2.3 Using the Principles Together 2.4 Formulas Mid-Chapter Review 2.5 Applications of Percent 2.6 Applications and Problem Solving Translating for Success 2.7 Solving Inequalities 2.8 Applications and Problem Solving with Inequalities Summary and Review Test Cumulative Review Graphs of Linear Equations 3.1 Graphs and Applications of Linear Equations 3.2 More with Graphing and Intercepts Visualizing for Success 3.3 Slope and Applications 3.4 Equations of Lines Mid-Chapter Review 3.5 Graphing Using the Slope and y-Intercept 3.6 Parallel Lines and Perpendicular Lines 3.7 Graphing Inequalities in Two Variables Visualizing for Success Summary and Review Test Cumulative Review Polynomials: Operations 4.1 Integers as Exponents 4.2 Exponents and Scientific Notation 4.3 Introduction to Polynomials 4.4 Addition and Subtraction of Polynomials Mid-Chapter Review 4.5 Multiplication of Polynomials 4.6 Special Products Visualizing for Success 4.7 Operations with Polynomials in Several Variables 4.8 Division of Polynomials Summary and Review Test Cumulative Review Polynomials: Factoring 5.1 Introduction to Factoring 5.2 Factoring Trinomials of the Type x2 + bx + c 5.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method 5.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method Mid-Chapter Review 5.5 Factoring Trinomial Squares and Differences of Squares 5.6 Factoring: A General Strategy 5.7 Solving Quadratic Equations by Factoring 5.8 Applications of Quadratic Equations Translating For Success Summary and Review Test Cumulative Review Rational Expressions and Equations 6.1 Multiplying and Simplifying Rational Expressions 6.2 Division and Reciprocals 6.3 Least Common Multiples and Denominators 6.4 Adding Rational Expressions 6.5 Subtracting Rational Expressions Mid-Chapter Review 6.6 Complex Rational Expressions 6.7 Solving Rational Equations 6.8 Applications Using Rational Equations and Proportions Translating for Success 6.9 Direct Variation and Inverse Variation Summary and Review Test Cumulative Review Systems of Equations 7.1 Systems of Equations in Two Variables 7.2 The Substitution Method 7.3 The Elimination Method Mid-Chapter Review 7.4 Applications and Problem Solving 7.5 Applications with Motion Translating for Success Summary and Review Test Cumulative Review Radical Expressions and Equations 8.1 Introduction to Radical Expressions 8.2 Multiplying and Simplifying with Radical Expressions 8.3 Quotients Involving Radical Expressions Mid-Chapter Review 8.4 Addition, Subtraction, and More Multiplication 8.5 Radical Equations 8.6 Applications with Right Triangles Translating for Success Summary and Review Test Cumulative Review Quadratic Equations 9.1 Introduction to Quadratic Equations 9.2 Solving Quadratic Equations by Completing the Square 9.3 The Quadratic Formula Mid-Chapter Review 9.4 Formulas 9.5 Applications and Problem Solving Translating for Success 9.6 Graphs of Quadratic Equations Visualizing for Success 9.7 Functions Summary and Review Test Cumulative Review APPENDIXES Factoring Sums or Differences of Cubes Finding Equations of Lines: Point—Slope Equation Higher Roots Sets Mean, Median, and Mode Inequalities and Interval Notation Answers Guided Solutions Glossary Index

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Book SynopsisTable of Contents 1 - Linear Equations And Matrices 2 - Solving Linear Systems 3 - Determinants 4 - Real Vector Spaces 5 - Inner Product Spaces 6 - Linear Transformations and Matrices 7 - Eigenvalues and Eigenvectors 8 - Applications of Eigenvalues and Eigenvectors (Optional) 9 - MATLAB for Linear Algebra 10 - MATLAB Exercises

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Book Synopsis

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Book SynopsisAbout our author Jay Lehmann has taught for the past 25 years at College of San Mateo, where he received the shiny apple award for excellence in teaching. ?He has presented at over 80 conferences including AMATYC and ICTCM over the past 16 years. Jay is currently the newsletter editor for California Mathematics Council, Community Colleges (CMC3). ?Still young at heart, he plays in a rock band appropriately named the Procrastinistas. Jay has authored several algebra textbooks published by Pearson and has also recently completed a Prestatistics textbook. In the words of the author: Before writing my algebra series, it was painfully apparent that my students couldn't relate to the applications in the course. I was plagued with the question, What is this good for? To try to bridge that gap, I wrote some labs, which facilitated my students in collecting data, finding models via curve fitting, and using the models to make estimates and predictions. Table of ContentsTable of Contents Introduction to Modeling 1.1 Variables and Constants 1.2 Scatterplots 1.3 Exact Linear Relationships 1.4 Approximate Linear Relationships Taking It to the Lab: Climate Change Lab • Volume Lab • Linear Graphing Lab: Topic of Your Choice Operations and Expressions 2.1 Expressions 2.2 Operations with Fractions 2.3 Absolute Value and Adding Real Numbers 2.4 Change in a Quantity and Subtracting Real Numbers 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers 2.6 Exponents and Order of Operations Taking It to the Lab: Climate Change Lab (continued from Chapter 1) • Stocks Lab Using Slope to Graph Linear Equations 3.1 Graphing Equations of the Forms y = mx + b and x = a 3.2 Graphing Linear Models; Unit Analysis 3.3 Slope of a Line 3.4 Using Slope to Graph Linear Equations 3.5 Rate of Change Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Workout Lab • Balloon Lab Simplifying Expressions and Solving Equations 4.1 Simplifying Expressions 4.2 Simplifying More Expressions 4.3 Solving Linear Equations in One Variable 4.4 Solving More Linear Equations in One Variable 4.5 Comparing Expressions and Equations 4.6 Formulas Linear Functions and Linear Inequalities in One Variable 5.1 Graphing Linear Equations 5.2 Functions 5.3 Function Notation 5.4 Finding Linear Equations 5.5 Finding Equations of Linear Models 5.6 Using Function Notation with Linear Models to Make Estimates and Predictions 5.7 Solving Linear Inequalities in One Variable Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Golf Ball Lab • Rope Lab • Shadow Lab • Linear Lab: Topic of Your Choice Systems of Linear Equations and Systems of Linear Inequalities 6.1 Using Graphs and Tables to Solve Systems 6.2 Using Substitution to Solve Systems 6.3 Using Elimination to Solve Systems 6.4 Using Systems to Model Data 6.5 Perimeter, Value, Interest, and Mixture Problems 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables Taking It to the Lab: Climate Change Lab (continued from Chapter 5) • Sports Lab • Truck Lab Polynomial Functions and Properties of Exponents 7.1 Adding and Subtracting Polynomial Expressions and Functions 7.2 Multiplying Polynomial Expressions and Functions 7.3 Powers of Polynomials; Product of Binomial Conjugates 7.4 Properties of Exponents 7.5 Dividing Polynomials: Long Division and Synthetic Division Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab Factoring Polynomials and Solving Polynomial Equations 8.1 Factoring Trinomials of the Form x2 + bx + c and Differences of Two Squares 8.2 Factoring Out the GCF; Factoring by Grouping 8.3 Factoring Trinomials of the Form ax2 + bx + c 8.4 Sums and Differences of Cubes; A Factoring Strategy 8.5 Using Factoring to Solve Polynomial Equations 8.6 Using Factoring to Make Predictions with Quadratic Models Quadratic Functions 9.1 Graphing Quadratic Functions in Vertex Form 9.2 Graphing Quadratic Functions in Standard Form 9.3 Simplifying Radical Expressions 9.4 Using the Square Root Property to Solve Quadratic Equations 9.5 Solving Quadratic Equations by Completing the Square 9.6 Using the Quadratic Formula to Solve Quadratic Equations 9.7 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions 9.8 Finding Quadratic Models 9.9 Modeling with Quadratic Functions Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice Exponential Functions 10.1 Integer Exponents 10.2 Rational Exponents 10.3 Graphing Exponential Functions 10.4 Finding Equations of Exponential Functions 10.5 Using Exponential Functions to Model Data Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice Logarithmic Functions 11.1 Composite Functions 11.2 Inverse Functions 11.3 Logarithmic Functions 11.4 Properties of Logarithms 11.5 Using the Power Property with Exponential Models to Make Predictions 11.6 More Properties of Logarithms 11.7 Natural Logarithms Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab: Topic of Your Choice Rational Functions 12.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions 12.2 Multiplying and Dividing Rational Expressions; Converting Units 12.3 Adding and Subtracting Rational Expressions 12.4 Simplifying Complex Rational Expressions 12.5 Solving Rational Equations 12.6 Modeling with Rational Functions 12.7 Proportions; Similar Triangles 12.8 Variation Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Illumination Lab • Boyle’s Law Lab • Estimating 5 Lab Radical Functions 13.1 Simplifying Radical Expressions 13.2 Adding, Subtracting, and Multiplying Radical Expressions 13.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions 13.4 Graphing and Combining Square Root Functions 13.5 Solving Radical Equations 13.6 Modeling with Square Root Functions Taking It to the Lab: Pendulum Lab Sequences and Series 14.1 Arithmetic Sequences 14.2 Geometric Sequences 14.3 Arithmetic Series 14.4 Geometric Series Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab Additional Topics 15.1 Absolute Value: Equations and Inequalities 15.2 Performing Operations with Complex Numbers 15.3 Pythagorean Theorem, Distance Formula, and Circles 15.4 Ellipses and Hyperbolas 15.5 Solving Nonlinear Systems of Equations Appendix A. Using a TI-83 or TI-84 Graphing Calculator Appendix B. Using StatCrunch

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Book SynopsisAbout our authors Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two-Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two-Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy. Dennis Runde received his BS and MS in mathematics from the University of Wisconsin - Platteville and Milwaukee, respectively. He has a PhD in MathemaTable of ContentsTable of Contents Basic Concepts 1.1 Study Skills for Success in Mathematics, and Using a Calculator 1.2 Sets and Other Basic Concepts 1.3 Properties of and Operations with Real Numbers 1.4 Order of Operations Mid-Chapter Test: Sections 1.1—1.4 1.5 Exponents 1.6 Scientific Notation Equations and Inequalities 2.1 Solving Linear Equations 2.2 Problem Solving and Using Formulas 2.3 Applications of Algebra Mid-Chapter Test: Sections 2.1—2.3 2.4 Additional Application Problems 2.5 Solving Linear Inequalities 2.6 Solving Equations and Inequalities Containing Absolute Values Graphs and Functions 3.1 Graphs 3.2 Functions 3.3 Linear Functions: Graphs and Applications 3.4 The Slope-Intercept Form of a Linear Equation Mid-Chapter Test: Sections 3.1—3.4 3.5 The Point-Slope Form of a Linear Equation 3.6 The Algebra of Functions 3.7 Graphing Linear Inequalities Systems of Equations and Inequalities 4.1 Solving Systems of Linear Equations in Two Variables 4.2 Solving Systems of Linear Equations in Three Variables 4.3 Systems of Linear Equations: Applications and Problem Solving Mid-Chapter Test: Sections 4.1—4.3 4.4 Solving Systems of Equations Using Matrices 4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule 4.6 Solving Systems of Linear Inequalities Polynomials and Polynomial Functions 5.1 Addition and Subtraction of Polynomials 5.2 Multiplication of Polynomials 5.3 Division of Polynomials and Synthetic Division 5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping Mid-Chapter Test: Sections 5.1—5.4 5.5 Factoring Trinomials 5.6 Special Factoring Formulas 5.7 A General Review of Factoring 5.8 Polynomial Equations Rational Expressions and Equations 6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions 6.2 Addition and Subtraction of Rational Expressions 6.3 Complex Fractions 6.4 Solving Rational Equations Mid-Chapter Test: Sections 6.1—6.4 6.5 Rational Equations: Applications and Problem Solving 6.6 Variation Roots, Radicals, and Complex Numbers 7.1 Roots and Radicals 7.2 Rational Exponents 7.3 Simplifying Radicals 7.4 Adding, Subtracting, and Multiplying Radicals Mid-Chapter Test: Sections 7.1—7.4 7.5 Dividing Radicals 7.6 Solving Radical Equations 7.7 Complex Numbers Quadratic Functions 8.1 Solving Quadratic Equations by Completing the Square 8.2 Solving Quadratic Equations by the Quadratic Formula 8.3 Quadratic Equations: Applications and Problem Solving Mid-Chapter Test: Sections 8.1—8.3 8.4 Writing Equations in Quadratic Form 8.5 Graphing Quadratic Functions 8.6 Quadratic and Other Inequalities in One Variable Exponential and Logarithmic Functions 9.1 Composite and Inverse Functions 9.2 Exponential Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms Mid-Chapter Test: Sections 9.1—9.4 9.5 Common Logarithms 9.6 Exponential and Logarithmic Equations 9.7 Natural Exponential and Natural Logarithmic Functions Conic Sections 10.1 The Parabola and the Circle 10.2 The Ellipse Mid-Chapter Test: Sections 10.1—10.2 10.3 The Hyperbola 10.4 Nonlinear Systems of Equations and Their Applications Sequences, Series, and the Binomial Theorem 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series Mid-Chapter Test: Sections 11.1—11.3 11.4 The Binomial Theorem Appendix: Geometric Formulas

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Book SynopsisAbout our authors Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two-Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two-Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy. Dennis Runde received his BS and MS in mathematics from the University of Wisconsin - Platteville and Milwaukee, respectively. He has a PhD in MathemaTable of ContentsTable of Contents Real Numbers 1.1 Study Skills for Success in Mathematics 1.2 Problem Solving 1.3 Fractions 1.4 The Real Number System 1.5 Inequalities and Absolute Value Mid-Chapter Test: Sections 1.1—1.5 1.6 Addition of Real Numbers 1.7 Subtraction of Real Numbers 1.8 Multiplication and Division of Real Numbers 1.9 Exponents, Parentheses, and the Order of Operations 1.10 Properties of the Real Number System Solving Linear Equations and Inequalities 2.1 Combining Like Terms 2.2 The Addition Property of Equality 2.3 The Multiplication Property of Equality 2.4 Solving Linear Equations with a Variable on Only One Side of the Equation Mid-Chapter Test: Sections 2.1—2.4 2.5 Solving Linear Equations with the Variable on Both Sides of the Equation 2.6 Formulas 2.7 Ratios and Proportions 2.8 Inequalities in One Variable Applications of Algebra 3.1 Changing Application Problems into Equations 3.2 Solving Application Problems Mid-Chapter Test: Sections 3.1—3.2 3.3 Geometric Problems 3.4 Motion, Money, and Mixture Problems Exponents and Polynomials 4.1 Exponents 4.2 Negative Exponents 4.3 Scientific Notation Mid-Chapter Test: Sections 4.1—4.3 4.4 Addition and Subtraction of Polynomials 4.5 Multiplication of Polynomials 4.6 Division of Polynomials Factoring 5.1 Factoring a Monomial from a Polynomial 5.2 Factoring by Grouping 5.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1 5.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1 Mid-Chapter Test: Sections 5.1—5.4 5.5 Special Factoring Formulas and a General Review of Factoring 5.6 Solving Quadratic Equations Using Factoring 5.7 Applications of Quadratic Equations Rational Expressions and Equations 6.1 Simplifying Rational Expressions 6.2 Multiplication and Division of Rational Expressions 6.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator 6.4 Addition and Subtraction of Rational Expressions Mid-Chapter Test: Sections 6.1—6.4 6.5 Complex Fractions 6.6 Solving Rational Equations 6.7 Rational Equations: Applications and Problem Solving 6.8 Variation Graphing Linear Equations 7.1 The Cartesian Coordinate System and Linear Equations in Two Variables 7.2 Graphing Linear Equations 7.3 Slope of a Line Mid-Chapter Test: Sections 7.1—7.3 7.4 Slope-Intercept and Point-Slope Forms of a Linear Equation 7.5 Graphing Linear Inequalities 7.6 Functions Systems of Linear Equations 8.1 Solving Systems of Equations Graphically 8.2 Solving Systems of Equations by Substitution 8.3 Solving Systems of Equations by the Addition Method Mid-Chapter Test: Sections 8.1—8.3 8.4 Systems of Equations: Applications and Problem Solving 8.5 Solving Systems of Linear Inequalities Roots and Radicals 9.1 Evaluating Square Roots 9.2 Simplifying Square Roots 9.3 Adding, Subtracting, and Multiplying Square Roots 9.4 Dividing Square Roots Mid-Chapter Test: Sections 9.1—9.4 9.5 Solving Radical Equations 9.6 Radicals: Applications and Problem Solving 9.7 Higher Roots and Rational Exponents Quadratic Equations 10.1 The Square Root Property 10.2 Solving Quadratic Equations by Completing the Square 10.3 Solving Quadratic Equations by the Quadratic Formula Mid-Chapter Test: Sections 10.1—10.3 10.4 Graphing Quadratic Equations 10.5 Complex Numbers Appendix A: Review of Decimals and Percent Appendix B: Geometry

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Book Synopsis

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Book SynopsisAllen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy. Dennis Runde received his BS and MS in mathematics from the University of WisconsinPlatteville and Milwaukee, respectively. He has a PhD in Mathematics Education from the UniverTable of ContentsTable of Contents Real Numbers 1.1 Study Skills for Success in Mathematics 1.2 Problem Solving 1.3 Fractions 1.4 The Real Number System 1.5 Inequalities and Absolute Value Mid-Chapter Test: Sections 1.1—1.5 1.6 Addition of Real Numbers 1.7 Subtraction of Real Numbers 1.8 Multiplication and Division of Real Numbers 1.9 Exponents, Parentheses, and the Order of Operations 1.10 Properties of the Real Number System Solving Linear Equations and Inequalities 2.1 Combining Like Terms 2.2 The Addition Property of Equality 2.3 The Multiplication Property of Equality 2.4 Solving Linear Equations with a Variable on Only One Side of the Equation Mid-Chapter Test: Sections 2.1—2.4 2.5 Solving Linear Equations with the Variable on Both Sides of the Equation 2.6 Formulas 2.7 Ratios and Proportions 2.8 Inequalities in One Variable Applications of Algebra 3.1 Changing Application Problems into Equations 3.2 Solving Application Problems Mid-Chapter Test: Sections 3.1—3.2 3.3 Geometric Problems 3.4 Motion, Money, and Mixture Problems Exponents and Polynomials 4.1 Exponents 4.2 Negative Exponents 4.3 Scientific Notation Mid-Chapter Test: Sections 4.1—4.3 4.4 Addition and Subtraction of Polynomials 4.5 Multiplication of Polynomials 4.6 Division of Polynomials Factoring 5.1 Factoring a Monomial from a Polynomial 5.2 Factoring by Grouping 5.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1 5.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1 Mid-Chapter Test: Sections 5.1—5.4 5.5 Special Factoring Formulas and a General Review of Factoring 5.6 Solving Quadratic Equations Using Factoring 5.7 Applications of Quadratic Equations Rational Expressions and Equations 6.1 Simplifying Rational Expressions 6.2 Multiplication and Division of Rational Expressions 6.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator 6.4 Addition and Subtraction of Rational Expressions Mid-Chapter Test: Sections 6.1—6.4 6.5 Complex Fractions 6.6 Solving Rational Equations 6.7 Rational Equations: Applications and Problem Solving 6.8 Variation Graphing Linear Equations 7.1 The Cartesian Coordinate System and Linear Equations in Two Variables 7.2 Graphing Linear Equations 7.3 Slope of a Line Mid-Chapter Test: Sections 7.1—7.3 7.4 Slope-Intercept and Point-Slope Forms of a Linear Equation 7.5 Graphing Linear Inequalities 7.6 Functions Systems of Linear Equations 8.1 Solving Systems of Equations Graphically 8.2 Solving Systems of Equations by Substitution 8.3 Solving Systems of Equations by the Addition Method Mid-Chapter Test: Sections 8.1—8.3 8.4 Systems of Equations: Applications and Problem Solving 8.5 Solving Systems of Linear Inequalities Roots and Radicals 9.1 Evaluating Square Roots 9.2 Simplifying Square Roots 9.3 Adding, Subtracting, and Multiplying Square Roots 9.4 Dividing Square Roots Mid-Chapter Test: Sections 9.1—9.4 9.5 Solving Radical Equations 9.6 Radicals: Applications and Problem Solving 9.7 Higher Roots and Rational Exponents Quadratic Equations 10.1 The Square Root Property 10.2 Solving Quadratic Equations by Completing the Square 10.3 Solving Quadratic Equations by the Quadratic Formula Mid-Chapter Test: Sections 10.1—10.3 10.4 Graphing Quadratic Equations 10.5 Complex Numbers Appendix A: Review of Decimals and Percent Appendix B: Geometry

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Book Synopsis

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Book Synopsis

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Book Synopsis

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Book Synopsis

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Book Synopsis

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Book Synopsis

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Book Synopsis

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Book Synopsis

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Book SynopsisThis manual contains the complete solutionsto the odd-numbered exercises in the Homework sections of the text.Table of ContentsTable of Contents Introduction to Modeling 1.1 Variables and Constants 1.2 Scatterplots 1.3 Exact Linear Relationships 1.4 Approximate Linear Relationships Taking It to the Lab: Climate Change Lab • Volume Lab • Linear Graphing Lab: Topic of Your Choice Operations and Expressions 2.1 Expressions 2.2 Operations with Fractions 2.3 Absolute Value and Adding Real Numbers 2.4 Change in a Quantity and Subtracting Real Numbers 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers 2.6 Exponents and Order of Operations Taking It to the Lab: Climate Change Lab (continued from Chapter 1) • Stocks Lab Using Slope to Graph Linear Equations 3.1 Graphing Equations of the Forms y = mx + b and x = a 3.2 Graphing Linear Models; Unit Analysis 3.3 Slope of a Line 3.4 Using Slope to Graph Linear Equations 3.5 Rate of Change Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Workout Lab • Balloon Lab Simplifying Expressions and Solving Equations 4.1 Simplifying Expressions 4.2 Simplifying More Expressions 4.3 Solving Linear Equations in One Variable 4.4 Solving More Linear Equations in One Variable 4.5 Comparing Expressions and Equations 4.6 Formulas Linear Functions and Linear Inequalities in One Variable 5.1 Graphing Linear Equations 5.2 Functions 5.3 Function Notation 5.4 Finding Linear Equations 5.5 Finding Equations of Linear Models 5.6 Using Function Notation with Linear Models to Make Estimates and Predictions 5.7 Solving Linear Inequalities in One Variable Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Golf Ball Lab • Rope Lab • Shadow Lab • Linear Lab: Topic of Your Choice Systems of Linear Equations and Systems of Linear Inequalities 6.1 Using Graphs and Tables to Solve Systems 6.2 Using Substitution to Solve Systems 6.3 Using Elimination to Solve Systems 6.4 Using Systems to Model Data 6.5 Perimeter, Value, Interest, and Mixture Problems 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables Taking It to the Lab: Climate Change Lab (continued from Chapter 5) • Sports Lab • Truck Lab Polynomial Functions and Properties of Exponents 7.1 Adding and Subtracting Polynomial Expressions and Functions 7.2 Multiplying Polynomial Expressions and Functions 7.3 Powers of Polynomials; Product of Binomial Conjugates 7.4 Properties of Exponents 7.5 Dividing Polynomials: Long Division and Synthetic Division Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab Factoring Polynomials and Solving Polynomial Equations 8.1 Factoring Trinomials of the Form x2 + bx + c and Differences of Two Squares 8.2 Factoring Out the GCF; Factoring by Grouping 8.3 Factoring Trinomials of the Form ax2 + bx + c 8.4 Sums and Differences of Cubes; A Factoring Strategy 8.5 Using Factoring to Solve Polynomial Equations 8.6 Using Factoring to Make Predictions with Quadratic Models Quadratic Functions 9.1 Graphing Quadratic Functions in Vertex Form 9.2 Graphing Quadratic Functions in Standard Form 9.3 Simplifying Radical Expressions 9.4 Using the Square Root Property to Solve Quadratic Equations 9.5 Solving Quadratic Equations by Completing the Square 9.6 Using the Quadratic Formula to Solve Quadratic Equations 9.7 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions 9.8 Finding Quadratic Models 9.9 Modeling with Quadratic Functions Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice Exponential Functions 10.1 Integer Exponents 10.2 Rational Exponents 10.3 Graphing Exponential Functions 10.4 Finding Equations of Exponential Functions 10.5 Using Exponential Functions to Model Data Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice Logarithmic Functions 11.1 Composite Functions 11.2 Inverse Functions 11.3 Logarithmic Functions 11.4 Properties of Logarithms 11.5 Using the Power Property with Exponential Models to Make Predictions 11.6 More Properties of Logarithms 11.7 Natural Logarithms Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab: Topic of Your Choice Rational Functions 12.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions 12.2 Multiplying and Dividing Rational Expressions; Converting Units 12.3 Adding and Subtracting Rational Expressions 12.4 Simplifying Complex Rational Expressions 12.5 Solving Rational Equations 12.6 Modeling with Rational Functions 12.7 Proportions; Similar Triangles 12.8 Variation Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Illumination Lab • Boyle’s Law Lab • Estimating 5 Lab Radical Functions 13.1 Simplifying Radical Expressions 13.2 Adding, Subtracting, and Multiplying Radical Expressions 13.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions 13.4 Graphing and Combining Square Root Functions 13.5 Solving Radical Equations 13.6 Modeling with Square Root Functions Taking It to the Lab: Pendulum Lab Sequences and Series 14.1 Arithmetic Sequences 14.2 Geometric Sequences 14.3 Arithmetic Series 14.4 Geometric Series Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab Additional Topics 15.1 Absolute Value: Equations and Inequalities 15.2 Performing Operations with Complex Numbers 15.3 Pythagorean Theorem, Distance Formula, and Circles 15.4 Ellipses and Hyperbolas 15.5 Solving Nonlinear Systems of Equations Appendix A. Using a TI-83 or TI-84 Graphing Calculator Appendix B. Using StatCrunch

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Book Synopsis This new compelling resource for students correlates to the text and provides students with opportunities to dig into data and solve problems using pencil and paper. The workbook includes: Explorations that offer collaborative activities to support discovery of key concepts. Modeling exercises with authentic data that give students more practice on this multi-faceted concept, that can be sometimes hard to fully accomplish through MyLab Math. Projects that can be either open-ended or more guided, and ask students to dig deeper into a data set and think critically. Graphing exercises that ask students to practice graphing on their own, beyond what they do in MyLab Math. Mini-Essay questions that prompt students to think conceptually, also beyond what they do in MyLab Math. Table of ContentsTable of Contents Introduction to Modeling 1.1 Variables and Constants 1.2 Scatterplots 1.3 Exact Linear Relationships 1.4 Approximate Linear Relationships Taking It to the Lab: Climate Change Lab • Volume Lab • Linear Graphing Lab: Topic of Your Choice Operations and Expressions 2.1 Expressions 2.2 Operations with Fractions 2.3 Absolute Value and Adding Real Numbers 2.4 Change in a Quantity and Subtracting Real Numbers 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers 2.6 Exponents and Order of Operations Taking It to the Lab: Climate Change Lab (continued from Chapter 1) • Stocks Lab Using Slope to Graph Linear Equations 3.1 Graphing Equations of the Forms y = mx + b and x = a 3.2 Graphing Linear Models; Unit Analysis 3.3 Slope of a Line 3.4 Using Slope to Graph Linear Equations 3.5 Rate of Change Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Workout Lab • Balloon Lab Simplifying Expressions and Solving Equations 4.1 Simplifying Expressions 4.2 Simplifying More Expressions 4.3 Solving Linear Equations in One Variable 4.4 Solving More Linear Equations in One Variable 4.5 Comparing Expressions and Equations 4.6 Formulas Linear Functions and Linear Inequalities in One Variable 5.1 Graphing Linear Equations 5.2 Functions 5.3 Function Notation 5.4 Finding Linear Equations 5.5 Finding Equations of Linear Models 5.6 Using Function Notation with Linear Models to Make Estimates and Predictions 5.7 Solving Linear Inequalities in One Variable Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Golf Ball Lab • Rope Lab • Shadow Lab • Linear Lab: Topic of Your Choice Systems of Linear Equations and Systems of Linear Inequalities 6.1 Using Graphs and Tables to Solve Systems 6.2 Using Substitution to Solve Systems 6.3 Using Elimination to Solve Systems 6.4 Using Systems to Model Data 6.5 Perimeter, Value, Interest, and Mixture Problems 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables Taking It to the Lab: Climate Change Lab (continued from Chapter 5) • Sports Lab • Truck Lab Polynomial Functions and Properties of Exponents 7.1 Adding and Subtracting Polynomial Expressions and Functions 7.2 Multiplying Polynomial Expressions and Functions 7.3 Powers of Polynomials; Product of Binomial Conjugates 7.4 Properties of Exponents 7.5 Dividing Polynomials: Long Division and Synthetic Division Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab Factoring Polynomials and Solving Polynomial Equations 8.1 Factoring Trinomials of the Form x2 + bx + c and Differences of Two Squares 8.2 Factoring Out the GCF; Factoring by Grouping 8.3 Factoring Trinomials of the Form ax2 + bx + c 8.4 Sums and Differences of Cubes; A Factoring Strategy 8.5 Using Factoring to Solve Polynomial Equations 8.6 Using Factoring to Make Predictions with Quadratic Models Quadratic Functions 9.1 Graphing Quadratic Functions in Vertex Form 9.2 Graphing Quadratic Functions in Standard Form 9.3 Simplifying Radical Expressions 9.4 Using the Square Root Property to Solve Quadratic Equations 9.5 Solving Quadratic Equations by Completing the Square 9.6 Using the Quadratic Formula to Solve Quadratic Equations 9.7 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions 9.8 Finding Quadratic Models 9.9 Modeling with Quadratic Functions Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice Exponential Functions 10.1 Integer Exponents 10.2 Rational Exponents 10.3 Graphing Exponential Functions 10.4 Finding Equations of Exponential Functions 10.5 Using Exponential Functions to Model Data Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice Logarithmic Functions 11.1 Composite Functions 11.2 Inverse Functions 11.3 Logarithmic Functions 11.4 Properties of Logarithms 11.5 Using the Power Property with Exponential Models to Make Predictions 11.6 More Properties of Logarithms 11.7 Natural Logarithms Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab: Topic of Your Choice Rational Functions 12.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions 12.2 Multiplying and Dividing Rational Expressions; Converting Units 12.3 Adding and Subtracting Rational Expressions 12.4 Simplifying Complex Rational Expressions 12.5 Solving Rational Equations 12.6 Modeling with Rational Functions 12.7 Proportions; Similar Triangles 12.8 Variation Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Illumination Lab • Boyle’s Law Lab • Estimating 5 Lab Radical Functions 13.1 Simplifying Radical Expressions 13.2 Adding, Subtracting, and Multiplying Radical Expressions 13.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions 13.4 Graphing and Combining Square Root Functions 13.5 Solving Radical Equations 13.6 Modeling with Square Root Functions Taking It to the Lab: Pendulum Lab Sequences and Series 14.1 Arithmetic Sequences 14.2 Geometric Sequences 14.3 Arithmetic Series 14.4 Geometric Series Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab Additional Topics 15.1 Absolute Value: Equations and Inequalities 15.2 Performing Operations with Complex Numbers 15.3 Pythagorean Theorem, Distance Formula, and Circles 15.4 Ellipses and Hyperbolas 15.5 Solving Nonlinear Systems of Equations Appendix A. Using a TI-83 or TI-84 Graphing Calculator Appendix B. Using StatCrunch

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Book SynopsisTable of ContentsTable of Contents Introduction to Modeling 1.1 Variables and Constants 1.2 Scatterplots 1.3 Exact Linear Relationships 1.4 Approximate Linear Relationships Taking It to the Lab: Climate Change Lab • Volume Lab • Linear Graphing Lab: Topic of Your Choice Operations and Expressions 2.1 Expressions 2.2 Operations with Fractions 2.3 Absolute Value and Adding Real Numbers 2.4 Change in a Quantity and Subtracting Real Numbers 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers 2.6 Exponents and Order of Operations Taking It to the Lab: Climate Change Lab (continued from Chapter 1) • Stocks Lab Using Slope To Graph Linear Equations 3.1 Graphing Equations of the Forms y = mx + b and x = a 3.2 Graphing Linear Models; Unit Analysis 3.3 Slope of a Line 3.4 Using Slope to Graph Linear Equations 3.5 Rate of Change Taking It to the Lab: Climate Change Lab Simplifying Expressions and Solving Equations 4.1 Simplifying Expressions 4.2 Simplifying More Expressions 4.3 Solving Linear Equations in One Variable 4.4 Solving More Linear Equations in One Variable 4.5 Comparing Expressions and Equations 4.6 Formulas Linear Equations in Two Variables and Linear Inequalities in One Variable 5.1 Graphing Linear Equations in Two Variables 5.2 Finding Equations of Lines 5.3 Finding Equations of Linear Models 5.4 Using Equations of Linear Models to Make Estimates and Predictions 5.5 Solving Linear Inequalities in One Variable Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Rope Lab • Shadow Lab • Linear Lab: Topic of Your Choice Systems of Linear Equations and Systems of Linear Inequalities 6.1 Using Graphs and Tables to Solve Systems 6.2 Using Substitution to Solve Systems 6.3 Using Elimination to Solve Systems 6.4 Using Systems to Model Data 6.5 Perimeter, Value, Interest, and Mixture Problems 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables Taking It to the Lab: Climate Change Lab (continued from Chapter 5) Polynomials and Properties of Exponents 7.1 Graphing Quadratic Equations 7.2 Quadratic Models 7.3 Adding and Subtracting Polynomials 7.4 Multiplying Polynomials 7.5 Powers of Polynomials; Product of Binomial Conjugates 7.6 Properties of Exponents 7.7 Negative-Integer Exponents 7.8 Dividing Polynomials Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab Factoring Polynomials and Solving Polynomial Equations 8.1 Factoring Trinomials of the Form x2 + bx + c and Differences of Two Squares 8.2 Factoring Out the GCF; Factoring by Grouping 8.3 Factoring Trinomials of the Form ax2 + bx + c 8.4 Sums and Differences of Cubes; A Factoring Strategy 8.5 Using Factoring to Solve Polynomial Equations 8.6 Using Factoring to Make Predictions with Quadratic Models Solving Quadratic Equations 9.1 Simplifying Radical Expressions 9.2 Simplifying More Radical Expressions 9.3 Solving Quadratic Equations by the Square Root Property; The Pythagorean Theorem 9.4 Solving Quadratic Equations by Completing the Square 9.5 Solving Quadratic Equations by the Quadratic Formula 9.6 More Quadratic Models Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7) Rational Expressions and Equations 10.1 Simplifying Rational Expressions 10.2 Multiplying and Dividing Rational Expressions; Converting Units 10.3 Adding Rational Expressions 10.4 Subtracting Rational Expressions 10.5 Solving Rational Equations 10.6 Proportions; Similar Triangles 10.7 Variation 10.8 Simplifying Complex Rational Expressions Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Estimating π Lab More Radical Expressions and Equations 11.1 Adding and Subtracting Radical Expressions 11.2 Multiplying Radical Expressions 11.3 Solving Square Root Equations Appendix A: Using A TI-83 or TI-84 Graphing Calculator Appendix B: Using StatCrunch

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Book Synopsis

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Book SynopsisTable of ContentsTable of Contents Basic Concepts 1.1 Study Skills for Success in Mathematics, and Using a Calculator 1.2 Sets and Other Basic Concepts 1.3 Properties of and Operations with Real Numbers 1.4 Order of Operations Mid-Chapter Test: Sections 1.1—1.4 1.5 Exponents 1.6 Scientific Notation Equations and Inequalities 2.1 Solving Linear Equations 2.2 Problem Solving and Using Formulas 2.3 Applications of Algebra Mid-Chapter Test: Sections 2.1—2.3 2.4 Additional Application Problems 2.5 Solving Linear Inequalities 2.6 Solving Equations and Inequalities Containing Absolute Values Graphs and Functions 3.1 Graphs 3.2 Functions 3.3 Linear Functions: Graphs and Applications 3.4 The Slope-Intercept Form of a Linear Equation Mid-Chapter Test: Sections 3.1—3.4 3.5 The Point-Slope Form of a Linear Equation 3.6 The Algebra of Functions 3.7 Graphing Linear Inequalities Systems of Equations and Inequalities 4.1 Solving Systems of Linear Equations in Two Variables 4.2 Solving Systems of Linear Equations in Three Variables 4.3 Systems of Linear Equations: Applications and Problem Solving Mid-Chapter Test: Sections 4.1—4.3 4.4 Solving Systems of Equations Using Matrices 4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule 4.6 Solving Systems of Linear Inequalities Polynomials and Polynomial Functions 5.1 Addition and Subtraction of Polynomials 5.2 Multiplication of Polynomials 5.3 Division of Polynomials and Synthetic Division 5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping Mid-Chapter Test: Sections 5.1—5.4 5.5 Factoring Trinomials 5.6 Special Factoring Formulas 5.7 A General Review of Factoring 5.8 Polynomial Equations Rational Expressions and Equations 6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions 6.2 Addition and Subtraction of Rational Expressions 6.3 Complex Fractions 6.4 Solving Rational Equations Mid-Chapter Test: Sections 6.1—6.4 6.5 Rational Equations: Applications and Problem Solving 6.6 Variation Roots, Radicals, and Complex Numbers 7.1 Roots and Radicals 7.2 Rational Exponents 7.3 Simplifying Radicals 7.4 Adding, Subtracting, and Multiplying Radicals Mid-Chapter Test: Sections 7.1—7.4 7.5 Dividing Radicals 7.6 Solving Radical Equations 7.7 Complex Numbers Quadratic Functions 8.1 Solving Quadratic Equations by Completing the Square 8.2 Solving Quadratic Equations by the Quadratic Formula 8.3 Quadratic Equations: Applications and Problem Solving Mid-Chapter Test: Sections 8.1—8.3 8.4 Writing Equations in Quadratic Form 8.5 Graphing Quadratic Functions 8.6 Quadratic and Other Inequalities in One Variable Exponential and Logarithmic Functions 9.1 Composite and Inverse Functions 9.2 Exponential Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms Mid-Chapter Test: Sections 9.1—9.4 9.5 Common Logarithms 9.6 Exponential and Logarithmic Equations 9.7 Natural Exponential and Natural Logarithmic Functions Conic Sections 10.1 The Parabola and the Circle 10.2 The Ellipse Mid-Chapter Test: Sections 10.1—10.2 10.3 The Hyperbola 10.4 Nonlinear Systems of Equations and Their Applications Sequences, Series, and the Binomial Theorem 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series Mid-Chapter Test: Sections 11.1—11.3 11.4 The Binomial Theorem Appendix: Geometric Formulas

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