Algebra Books

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Book Synopsis

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Book Synopsis

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Book Synopsis

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Book SynopsisTable of Contents1. 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 2. 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 3. 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 4. 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 5. 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 6. 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 7. Data, Graphs, and Statistics 7.1 Averages, Medians, and Modes 7.2 Interpreting Data from Tables and Graphs Mid-Chapter Review 7.3 Interpreting and Drawing Bar Graphs and Line Graphs 7.4 Interpreting and Drawing Circle Graphs Translating for Success Summary and Review Test Cumulative Review 8. 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 9. 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 10. Introduction to Real Numbers and Algebraic Expressions 10.1 Introduction to Algebra 10.2 The Real Numbers 10.3 Addition of Real Numbers 10.4 Subtraction of Real Numbers Mid-Chapter Review 10.5 Multiplication of Real Numbers 10.6 Division of Real Numbers 10.7 Properties of Real Numbers 10.8 Simplifying Expressions; Order of Operations Summary and Review Test 11. Solving Equations and Inequalities 11.1 Solving Equations: The Addition Principle 11.2 Solving Equations: The Multiplication Principle 11.3 Using the Principles Together 11.4 Formulas Mid-Chapter Review 11.5 Applications of Percent 11.6 Applications and Problem Solving Translating for Success 11.7 Solving Inequalities 11.8 Applications and Problem Solving with Inequalities Summary and Review Test Cumulative Review 12. Graphs of Linear Equations 12.1 Introduction to Graphing 12.2 Graphing Linear Equations 12.3 More with Graphing and Intercepts Visualizing for Success Mid-Chapter Review 12.4 Slope and Applications Summary and Review Test Cumulative Review 13. Polynomials: Operations 13.1 Integers as Exponents 13.2 Exponents and Scientific Notation 13.3 Introduction to Polynomials 13.4 Addition and Subtraction of Polynomials Mid-Chapter Review 13.5 Multiplication of Polynomials 13.6 Special Products Visualizing for Success 13.7 Operations with Polynomials in Several Variables 13.8 Division of Polynomials Summary and Review Test Cumulative Review 14. Polynomials: Factoring 14.1 Introduction to Factoring 14.2 Factoring Trinomials of the Type x2 + bx + c 14.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method 14.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method Mid-Chapter Review 14.5 Factoring Trinomial Squares and Differences of Squares 14.6 Factoring Sums or Differences of Cubes 14.7 Factoring: A General Strategy 14.8 Solving Quadratic Equations by Factoring 14.9 Applications of Quadratic Equations Translating for Success Summary and Review Test Cumulative Review 15. Rational Expressions and Equations 15.1 Multiplying and Simplifying Rational Expressions 15.2 Division and Reciprocals 15.3 Least Common Multiples and Denominators 15.4 Adding Rational Expressions 15.5 Subtracting Rational Expressions Mid-Chapter Review 15.6 Complex Rational Expressions 15.7 Solving Rational Equations 15.8 Applications Using Rational Equations and Proportions Translating for Success 15.9 Variation and Applications Summary and Review Test Cumulative Review 16. Graphs, Functions, and Applications 16.1 Functions and Graphs 16.2 Finding Domain and Range Mid-Chapter Review 16.3 Linear Functions: Graphs and Slope 16.4 More on Graphing Linear Equations Visualizing for Success 16.5 Finding Equations of Lines; Applications Summary and Review Test Cumulative Review 17. Systems of Equations 17.1 Systems of Equations in Two Variables 17.2 Solving by Substitution 17.3 Solving by Elimination 17.4 Solving Applied Problems: Two Equations Translating for Success Mid-Chapter Review 17.5 Systems of Equations in Three Variables 17.6 Solving Applied Problems: Three Equations Summary and Review Test Cumulative Review 18. More on Inequalities 18.1 Sets, Inequalities, and Interval Notation Translating for Success 18.2 Intersections, Unions, and Compound Inequalities Mid-Chapter Review 18.3 Absolute-Value Equations and inequalities 18.4 Systems of Inequalities in Two Variables Visualizing for Success Summary and Review Test Cumulative Review 19. Radical Expressions, Equations, and Functions 19.1 Radical Expressions and Functions 19.2 Rational Numbers as Exponents 19.3 Simplifying Radical Expressions 19.4 Addition, Subtraction, and More Multiplication Mid-Chapter Review 19.5 More on Division of Radical Expressions 19.6 Solving Radical Equations 19.7 Applications Involving Powers and Roots Translating for Success 19.8 The Complex Numbers Summary and Review Test Cumulative Review 20. Quadratic Equations and Functions 20.1 The Basics of Solving Quadratic Equations 20.2 The Quadratic Formula 20.3 Applications Involving Quadratic Equations Translating for Success 20.4 More on Quadratic Equations Mid-Chapter Review 20.5 Graphing f(x) = a(x - h)2 + k 20.6 Graphing f(x) = ax2 + bx + c Visualizing for Success 20.7 Mathematical Modeling with Quadratic functions 20.8 Polynomial Inequalities and Rational Inequalities Summary and Review Test Cumulative Review 21. Exponential Functions and Logarithmic Functions 21.1 Exponential Functions 21.2 Composite Functions and Inverse Functions 21.3 Logarithmic Functions 21.4 Properties of Logarithmic Functions Mid-Chapter Review 21.5 Natural Logarithmic Functions Visualizing for Success 21.6 Solving Exponential Equations and Logarithmic Equations 21.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions Translating For Success Summary and Review Test Cumulative Review Appendices A. Synthetic Division B. Determinants and Cramer’s Rule C. Elimination Using Matrices D. The Algebra of Functions E. Distance, Midpoints, and Circles

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Book SynopsisThis manual contains completely worked-out solutions for all the odd-numbered exercises in the text.

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Book SynopsisTable of Contents1. Introduction to Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Commutative, Associative, and Distributive Laws 1.3 Fraction Notation 1.4 Positive and Negative Real Numbers Mid-Chapter Review 1.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers 1.7 Multiplication and Division of Real Numbers 1.8 Exponential Notation and Order of Operations 2. Equations, Inequalities, and Problem Solving 2.1 Solving Equations 2.2 Using the Principles Together 2.3 Formulas Mid-Chapter Review 2.4 Applications with Percent 2.5 Problem Solving 2.6 Solving Inequalities 2.7 Solving Applications with Inequalities 3. Introduction to Graphing and Functions 3.1 Reading Graphs, Plotting Points, and Scaling Graphs 3.2 Graphing Equations 3.3 Linear Equations and Intercepts 3.4 Rates 3.5 Slope Mid-Chapter Review 3.6 Slope-Intercept Form 3.7 Point-Slope Form; Introduction to Curve Fitting 3.8 Functions 4. Systems of Equations in Two Variables 4.1 Systems of Equations and Graphing 4.2 Systems of Equations and Substitution 4.3 Systems of Equations and Elimination Mid-Chapter Review 4.4 More Applications Using Systems 4.5 Solving Equations by Graphing 5. Polynomials 5.1 Exponents and Their Properties 5.2 Negative Exponents and Scientific Notation 5.3 Polynomials and Polynomial Functions 5.4 Addition and Subtraction of Polynomials 5.5 Multiplication of Polynomials 5.6 Special Products Mid-Chapter Review 5.7 Polynomials in Several Variables 5.8 Division of Polynomials 5.9 The Algebra of Functions 6. Polynomial Factorizations and Equations 6.1 Introduction to Polynomial Factorizations and Equations 6.2 Trinomials of the Type x2 + bx + c 6.3 Trinomials of the Type ax2 + bx + c Mid-Chapter Review 6.4 Perfect-Square Trinomials and Differences of Squares 6.5 Sums or Differences of Cubes 6.6 Factoring: A General Strategy 6.7 Applications of Polynomial Equations 7. Rational Expressions, Equations, and Functions 7.1 Rational Expressions and Functions 7.2 Multiplication and Division 7.3 Addition, Subtraction, and Least Common Denominators 7.4 Addition and Subtractions with Unlike Denominators Mid-Chapter Review 7.5 Complex Rational Expressions 7.6 Rational Equations 7.7 Applications Using Rational Equations and Proportions 7.8 Formulas, Applications, and Variation 8. Inequalities 8.1 Graphical Solutions and Compound 8.2 Absolute Value Equations and Inequalities Mid-Chapter Review 8.3 Inequalities in Two Variables 8.4 Polynomial Inequalities and Rational Inequalities 9. More On Systems 9.1 Systems of Equations in Three Variables 9.2 Solving Applications: Systems of Three Equations 9.3 Elimination Using Matrices Mid-Chapter Review 9.4 Determinants and Cramer’s Rule 9.5 Business and Economic Applications 10. Exponents and Radical Functions 10.1 Radical Expressions, Functions, and Models 10.2 Rational Numbers as Exponents 10.3 Multiplying Radical Expressions 10.4 Dividing Radical Expressions 10.5 Expressions Containing Several Radical Terms Mid-Chapter Review 10.6 Solving Radical Equations 10.7 The Distance Formula, the Midpoint Formula, and Other Applications 10.8 The Complex Numbers 11. Quadratic Functions and Equations 11.1 Quadratic Equations 11.2 The Quadratic Formula 11.3 Studying Solutions of Quadratic Equations 11.4 Applications Involving Quadratic Equations 11.5 Equations Reducible to Quadratic Mid-Chapter Review 11.6 Quadratic Functions and Their Graphs 11.7 More About Graphing Quadratic Functions 11.8 Problem Solving and Quadratic Equations 12. Exponential Functions and Logarithmic Functions 12.1 Composite Functions and Inverse Functions 12.2 Exponential Functions 12.3 Logarithmic Functions 12.4 Properties of Logarithmic Functions Mid-Chapter Review 12.5 Natural Logarithms and Changing Bases 12.6 Solving Exponential and Logarithmic Equations 12.7 Applications of Exponential and Logarithmic Functions

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Book SynopsisThis manual contains completely worked-out solutions for all the odd-numbered exercises in the text.

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Book SynopsisThis manual contains fully-worked solutions to the odd-numbered section exercises plus all of the following: Check Points Review/Preview Exercises Mid-Chapter Check Points Chapter Reviews Chapter Tests Cumulative Reviews Table of Contents1. Algebra, Mathematical Models, and Problem Solving 1.1 Algebraic Expressions, Real Numbers, and Interval Notation 1.2 Operations with Real Numbers and Simplifying Algebraic Expressions 1.3 Graphing Equations 1.4 Solving Linear Equations Mid-Chapter Check Point Section 1.1—Section 1.4 1.5 Problem Solving and Using Formulas 1.6 Properties of Integral Exponents 1.7 Scientific Notation Chapter 1 Group Project Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Test 2. Functions and Linear Functions 2.1 Introduction to Functions 2.2 Graphs of Functions 2.3 The Algebra of Functions Mid-Chapter Check Point Section 2.1—Section 2.3 2.4 Linear Functions and Slope 2.5 The Point-Slope Form of the Equation of a Line Chapter 2 Group Project Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Test Cumulative Review Exercises (Chapters 1—2) 3. Systems of Linear Equations 3.1 Systems of Linear Equations in Two Variables 3.2 Problem Solving and Business Applications Using Systems of Equations 3.3 Systems of Linear Equations in Three Variables Mid-Chapter Check Point Section 3.1—Section 3.3 3.4 Matrix Solutions to Linear Systems 3.5 Determinants and Cramer's Rule Chapter 3 Group Project Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Test Cumulative Review Exercises (Chapters 1—3) 4. Inequalities and Problem Solving 4.1 Solving Linear Inequalities 4.2 Compound Inequalities 4.3 Equations and Inequalities Involving Absolute Value Mid-Chapter Check Point Section 4.1—Section 4.3 4.4 Linear Inequalities in Two Variables 4.5 Linear Programming Chapter 4 Group Project Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Test Cumulative Review Exercises (Chapters 1—4) 5. Polynomials, Polynomial Functions, and Factoring 5.1 Introduction to Polynomials and Polynomial Functions 5.2 Multiplication of Polynomials 5.3 Greatest Common Factors and Factoring By Grouping 5.4 Factoring Trinomials Mid-Chapter Check Point Section 5.1—Section 5.4 5.5 Factoring Special Forms 5.6 A General Factoring Strategy 5.7 Polynomial Equations and Their Applications Chapter 5 Group Project Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Test Cumulative Review Exercises (Chapters 1—5) 6. Rational Expressions, Functions, and Equations 6.1 Rational Expressions and Functions: Multiplying and Dividing 6.2 Adding and Subtracting Rational Expressions 6.3 Complex Rational Expressions 6.4 Division of Polynomials Mid-Chapter Check Point Section 6.1—Section 6.4 6.5 Synthetic Division and the Remainder Theorem 6.6 Rational Equations 6.7 Formulas and Applications of Rational Equations 6.8 Modeling Using Variation Chapter 6 Group Project Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Test Cumulative Review Exercises (Chapters 1—6) 7. Radicals, Radical Functions, and Rational Exponents 7.1 Radical Expressions and Functions 7.2 Rational Exponents 7.3 Multiplying and Simplifying Radical Expressions 7.4 Adding, Subtracting, and Dividing Radical Expressions Mid-Chapter Check Point Section 7.1—Section 7.4 7.5 Multiplying with More Than One Term and Rationalizing Denominators 7.6 Radical Equations 7.7 Complex Numbers Chapter 7 Group Project Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Test Cumulative Review Exercises (Chapters 1—7) 8. Quadratic Equations and Functions 8.1 The Square Root Property and Completing the Square 8.2 The Quadratic Formula 8.3 Quadratic Functions and Their Graphs Mid-Chapter Check Point Section 8.1—Section 8.3 8.4 Equations Quadratic in Form 8.5 Polynomial and Rational Inequalities Chapter 8 Group Project Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Test Cumulative Review Exercises (Chapters 1—8) 9. Exponential and Logarithmic Functions 9.1 Exponential Functions 9.2 Composite and Inverse Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms Mid-Chapter Check Point Section 9.1—Section 9.4 9.5 Exponential and Logarithmic Equations 9.6 Exponential Growth and Decay; Modeling Data Chapter 9 Group Project Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Test Cumulative Review Exercises (Chapters 1—9) 10. Conic Sections and Systems of Nonlinear Equations 10.1 Distance and Midpoint Formulas; Circles 10.2 The Ellipse 10.3 The Hyperbola Mid-Chapter Check Point Section 10.1—Section 10.3 10.4 The Parabola; Identifying Conic Sections 10.5 Systems of Nonlinear Equations in Two Variables Chapter 10 Group Project Chapter 10 Summary Chapter 10 Review Exercises Chapter 10 Test Cumulative Review Exercises (Chapters 1—10) 11. More on Polynomial and Rational Functions 11.1 Polynomial Functions and Their Graphs 11.2 Zeros of Polynomial Functions Mid-Chapter Check Point Section 11.1—Section 11.2 11.3 Rational Functions and Their Graphs Chapter 11 Group Project Chapter 11 Summary Chapter 11 Review Exercises Chapter 11 Test Cumulative Review Exercises (Chapters 1—11) 12. Sequences, Induction, and Probability 12.1 Sequences and Summation Notation 12.2 Arithmetic Sequences 12.3 Geometric Sequences and Series Mid-Chapter Check Point Section 12.1—Section 12.3 12.4 The Binomial Theorem 12.5 Mathematical Induction 12.6 Counting Principles, Permutations, and Combinations 12.7 Probability Chapter 12 Group Project Chapter 12 Summary Chapter 12 Review Exercises Chapter 12 Test Cumulative Review Exercises (Chapters 1—12) Appendix Where Did That Come From? Selected Proofs

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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 momentas they prepare for a testalong with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, Table of ContentsTable of Contents Real Numbers and Algebraic Expressions 1.1 Study Skill Tips for Success in Mathematics 1.2 Algebraic Expressions and Sets of Numbers 1.3 Operations on Real Numbers and Order of Operations Integrated Review—Algebraic Expressions and Operations on Whole Numbers 1.4 Properties of Real Numbers and Algebraic Expressions Equations, Inequalities, and Problem Solving 2.1 Linear Equations in One Variable 2.2 An Introduction to Problem Solving 2.3 Formulas and Problem Solving 2.4 Linear Inequalities and Problem Solving Integrated Review—Linear Equations and Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations 2.7 Absolute Value Inequalities Graphs and Functions 3.1 Graphing Equations 3.2 Introduction to Functions 3.3 Graphing Linear Functions 3.4 The Slope of a Line 3.5 Equations of Lines Integrated Review—Linear Equations in Two Variables 3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions 3.7 Graphing Linear Inequalities Systems of Equations 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 and Problem Solving Integrated Review—Systems of Linear Equations 4.4 Solving Systems of Equations by Matrices 4.5 Systems of Linear Inequalities Exponents, Polynomials, and Polynomial Functions 5.1 Exponents and Scientific Notation 5.2 More Work with Exponents and Scientific Notation 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Polynomials 5.5 The Greatest Common Factor and Factoring by Grouping 5.6 Factoring Trinomials 5.7 Factoring by Special Products Integrated Review—Operations on Polynomials and Factoring Strategies 5.8 Solving Equations by Factoring and Problem Solving Rational Expressions 6.1 Rational Functions and Multiplying and Dividing Rational Expressions 6.2 Adding and Subtracting Rational Expressions 6.3 Simplifying Complex Fractions 6.4 Dividing Polynomials: Long Division and Synthetic Division 6.5 Solving Equations Containing Rational Expressions Integrated Review—Expressions and Equations Containing Rational Expressions 6.6 Rational Equations and Problem Solving 6.7 Variation and Problem Solving Rational Exponents, Radicals, and Complex Numbers 7.1 Radicals and Radical Functions 7.2 Rational Exponents 7.3 Simplifying Radical Expressions 7.4 Adding, Subtracting, and Multiplying Radical Expressions 7.5 Rationalizing Denominators and Numerators of Radical Expressions Integrated Review—Radicals and Rational Exponents 7.6 Radical Equations and Problem Solving 7.7 Complex Numbers Quadratic Equations and Functions 8.1 Solving Quadratic Equations by Completing the Square 8.2 Solving Quadratic Equations by the Quadratic Formula 8.3 Solving Equations by Using Quadratic Methods Integrated Review—Summary on Solving Quadratic Equations 8.4 Nonlinear Inequalities in One Variable 8.5 Quadratic Functions and Their Graphs 8.6 Further Graphing of Quadratic Functions Exponential and Logarithmic Functions 9.1 The Algebra of Functions; Composite Functions 9.2 Inverse Functions 9.3 Exponential Functions 9.4 Exponential Growth and Decay Functions 9.5 Logarithmic Functions 9.6 Properties of Logarithms Integrated Review—Functions and Properties of Logarithms 9.7 Common Logarithms, Natural Logarithms, and Change of Base 9.8 Exponential and Logarithmic Equations and Problem Solving Conic Sections 10.1 The Parabola and the Circle 10.2 The Ellipse and the Hyperbola Integrated Review—Graphing Conic Sections 10.3 Solving Nonlinear Systems of Equations 10.4 Nonlinear Inequalities and Systems of Inequalities Sequences, Series, and the Binomial Theorem 11.1 Sequences 11.2 Arithmetic and Geometric Sequences 11.3 Series Integrated Review—Sequences and Series 11.4 Partial Sums of Arithmetic and Geometric Sequences 11.5 The Binomial Theorem Appendices Geometry Stretching and Compressing Graphs of Absolute Value Functions Solving Systems of Equations Using Determinants An Introduction to Using a Graphing Utility Student Resources Study Skills Builders Bigger Picture—Study Guide Outline Practice Final Exam

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Book SynopsisJohn Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois, in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and served as the Mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts, for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts. Jeffrey SlaterTable of ContentsTable of Contents Whole Numbers 1.1 Understanding Whole Numbers 1.2 Adding Whole Numbers 1.3 Subtracting Whole Numbers 1.4 Multiplying Whole Numbers 1.5 Dividing Whole Numbers 1.6 Exponents and Order of Operations 1.7 Rounding and Estimating 1.8 Solving Applied Problems Involving Whole Numbers Career Explorations Chapter 1 Organizer Chapter 1 Review Problems Chapter 1 Test Math Coach Fractions 2.1 Understanding Fractions 2.2 Simplifying Fractions 2.3 Converting Between Improper Fractions and Mixed Numbers 2.4 Multiplying Fractions and Mixed Numbers 2.5 Dividing Fractions and Mixed Numbers 2.6 The Least Common Denominator and Creating Equaivalent Fractions 2.7 Adding and Subtracting Fractions 2.8 Adding and Subtracting Mixed Numbers and the Order of Operations 2.9 Solving Applied Problems Involving Fractions Career Explorations Chapter 2 Organizer Chapter 2 Review Problems Chapter 2 Test Math Coach Decimals 3.1 Using Decimal Notation 3.2 Comparing, Ordering, and Rounding Decimals 3.3 Adding and Subtracting Decimals 3.4 Multiplying Decimals 3.5 Dividing Decimals 3.6 Converting Fractions to Decimals and the Order of Operations 3.7 Estimating and Solving Applied Problems Involving Decimals Career Explorations Chapter 3 Organizer Chapter 3 Review Problems Chapter 3 Test Math Coach Ratio and Proportion 4.1 Ratios and Rates 4.2 The Concept of Proportions 4.3 Solving Proportions 4.4 Solving Applied Problems Involving Proportions Career Explorations Chapter 4 Organizer Chapter 4 Review Problems Chapter 4 Test Math Coach Percent 5.1 Understanding Percent 5.2 Changing Between Percents, Decimals, and Fractions 5.3A Solving Percent Problems Using Equations 5.3B Solving Percent Problems Using Proportions 5.4 Solving Applied Percent Problems 5.5 Solving Commission, Percent Increase or Decrease, and Interest Problems Career Explorations Chapter 5 Organizer Chapter 5 Review Problems Chapter 5 Test Math Coach Measurement 6.1 American Units 6.2 Metric Measurements: Length 6.3 Metric Measurements: Volume and Weight 6.4 Converting Units 6.5 Solving Applied Measurements Problems Career Explorations Chapter 6 Organizer Chapter 6 Review Problems Chapter 6 Test Math Coach Geometry 7.1 Angles 7.2 Rectangles and Squares 7.3 Parallelograms, Trapezoids, and Rhombuses 7.4 Triangles 7.5 Square Roots 7.6 The Pythagorean Theorem 7.7 Circles 7.8 Volume 7.9 Similar Geometric Features 7.10 Solving Applied Problems in Geometry Career Explorations Chapter 7 Organizer Chapter 7 Review Problems Chapter 7 Test Math Coach Statistics 8.1 Circle Graphs 8.2 Bar Graphs and Line Graphs 8.3 Histograms 8.4 Mean, Median, and Mode Career Explorations Chapter 8 Organizer Chapter 8 Review Problems Chapter 8 Test Math Coach Signed Numbers 9.1 Adding Signed Numbers 9.2 Subtracting Signed Numbers 9.3 Multiplying and Dividing Signed Numbers 9.4 Order of Operations with Signed Numbers 9.5 Scientific Notation Career Explorations Chapter 9 Organizer Chapter 9 Review Problems Chapter 9 Test Math Coach Introduction to Algebra 10.1 Variables and Like Terms 10.2 The Distributive Property 10.3 Solving Equations Using the Addition Property 10.4 Solving Equations Using the Division or Multiplication Property 10.5 Solving Equations Using Two Properties 10.6 Translating English to Algebra 10.7 Solving Applied Problems Career Explorations Chapter 10 Organizer Chapter 10 Review Problems Chapter 10 Test Math Coach

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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 momentas they prepare for a testalong with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, Table of Contents1. Review of Real Numbers 1.1 Study Skill Tips for Success in Mathematics 1.2 Symbols and Sets of Numbers 1.3 Fractions and Mixed Numbers 1.4 Exponents, Order of Operations, Variable Expressions, and Equations 1.5 Adding Real Numbers 1.6 Subtracting Real Numbers Integrated Review–Operations on Real Numbers 1.7 Multiplying and Dividing Real Numbers 1.8 Properties of Real Numbers 2. Equations, Inequalities, and Problem Solving 2.1 Simplifying Algebraic Expressions 2.2 The Addition Property of Equality 2.3 The Multiplication Property of Equality 2.4 Solving Linear Equations Integrated Review–Solving Linear Equations 2.5 An Introduction to Problem Solving 2.6 Formulas and Problem Solving 2.7 Percent and Mixture Problem Solving 2.8 Further Problem Solving 2.9 Solving Linear Inequalities 3. Graphing 3.1 Reading Graphs and the Rectangular Coordinate System 3.2 Graphing Linear Equations 3.3 Intercepts 3.4 Slope and Rate of Change Integrated Review–Summary on Slope and Graphing Linear Equations 3.5 Equations of Lines 3.6 Functions 4. Solving Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Addition Integrated Review–Solving Systems of Equations 4.4 Systems of Linear Equations and Problem Solving 4.5 Graphing Linear Inequalities 4.6 Systems of Linear Inequalities 5. Exponents and Polynomials 5.1 Exponents 5.2 Adding and Subtracting Polynomials 5.3 Multiplying Polynomials 5.4 Special Products Integrated Review–Exponents and Operations on Polynomials 5.5 Negative Exponents and Scientific Notation 5.6 Dividing Polynomials 6. Factoring Polynomials 6.1 The Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form x 2 + bx + c 6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials 6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping 6.5 Factoring Binomials Integrated Review–Choosing a Factoring Strategy 6.6 Solving Quadratic Equations by Factoring 6.7 Quadratic Equations and Problem Solving 7. Rational Expressions 7.1 Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators 7.5 Solving Equations Containing Rational Expressions Integrated Review–Summary on Rational Expressions 7.6 Proportion and Problem Solving with Rational Equations 7.7 Variation and Problem Solving 7.8 Simplifying Complex Fractions 8. Roots and Radicals 8.1 Introduction to Radicals 8.2 Simplifying Radicals 8.3 Adding and Subtracting Radicals 8.4 Multiplying and Dividing Radicals Integrated Review–Simplifying Radicals 8.5 Solving Equations Containing Radicals 8.6 Radical Equations and Problem Solving 8.7 Rational Exponents 9. Quadratic Equations 9.1 Solving Quadratic Equations by the Square Root Property 9.2 Solving Quadratic Equations by Completing the Square 9.3 Solving Quadratic Equations by the Quadratic Formula Integrated Review–Summary on Solving Quadratic Equations 9.4 Complex Solutions of Quadratic Equations 9.5 Graphing Quadratic Equations Appendices A Geometry B Additional Exercises on Proportion and Proportion Applications C Operations on Decimals D Mean, Median, and Mode E Tables Contents of Student Resources 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 momentas they prepare for a testalong with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, Table of Contents1. Review of Real Numbers 1.1 Study Skill Tips for Success in Mathematics 1.2 Symbols and Sets of Numbers 1.3 Fractions and Mixed Numbers 1.4 Exponents, Order of Operations, Variable Expressions, and Equations 1.5 Adding Real Numbers 1.6 Subtracting Real Numbers Integrated Review–Operations on Real Numbers 1.7 Multiplying and Dividing Real Numbers 1.8 Properties of Real Numbers 2. Equations, Inequalities, and Problem Solving 2.1 Simplifying Algebraic Expressions 2.2 The Addition Property of Equality 2.3 The Multiplication Property of Equality 2.4 Solving Linear Equations Integrated Review–Solving Linear Equations 2.5 An Introduction to Problem Solving 2.6 Formulas and Problem Solving 2.7 Percent and Mixture Problem Solving 2.8 Further Problem Solving 2.9 Solving Linear Inequalities 3. Graphing 3.1 Reading Graphs and the Rectangular Coordinate System 3.2 Graphing Linear Equations 3.3 Intercepts 3.4 Slope and Rate of Change Integrated Review–Summary on Slope and Graphing Linear Equations 3.5 Equations of Lines 3.6 Functions 4. Solving Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Addition Integrated Review–Solving Systems of Equations 4.4 Systems of Linear Equations and Problem Solving 4.5 Graphing Linear Inequalities 4.6 Systems of Linear Inequalities 5. Exponents and Polynomials 5.1 Exponents 5.2 Adding and Subtracting Polynomials 5.3 Multiplying Polynomials 5.4 Special Products Integrated Review–Exponents and Operations on Polynomials 5.5 Negative Exponents and Scientific Notation 5.6 Dividing Polynomials 6. Factoring Polynomials 6.1 The Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form x 2 + bx + c 6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials 6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping 6.5 Factoring Binomials Integrated Review–Choosing a Factoring Strategy 6.6 Solving Quadratic Equations by Factoring 6.7 Quadratic Equations and Problem Solving 7. Rational Expressions 7.1 Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators 7.5 Solving Equations Containing Rational Expressions Integrated Review–Summary on Rational Expressions 7.6 Proportion and Problem Solving with Rational Equations 7.7 Variation and Problem Solving 7.8 Simplifying Complex Fractions 8. Roots and Radicals 8.1 Introduction to Radicals 8.2 Simplifying Radicals 8.3 Adding and Subtracting Radicals 8.4 Multiplying and Dividing Radicals Integrated Review–Simplifying Radicals 8.5 Solving Equations Containing Radicals 8.6 Radical Equations and Problem Solving 8.7 Rational Exponents 9. Quadratic Equations 9.1 Solving Quadratic Equations by the Square Root Property 9.2 Solving Quadratic Equations by Completing the Square 9.3 Solving Quadratic Equations by the Quadratic Formula Integrated Review–Summary on Solving Quadratic Equations 9.4 Complex Solutions of Quadratic Equations 9.5 Graphing Quadratic Equations Appendices A Geometry B Additional Exercises on Proportion and Proportion Applications C Operations on Decimals D Mean, Median, and Mode E Tables Contents of Student Resources 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 momentas they prepare for a testalong with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, Table of Contents1. Review of Real Numbers 1.1 Study Skill Tips for Success in Mathematics 1.2 Symbols and Sets of Numbers 1.3 Fractions and Mixed Numbers 1.4 Exponents, Order of Operations, Variable Expressions, and Equations 1.5 Adding Real Numbers 1.6 Subtracting Real Numbers Integrated Review–Operations on Real Numbers 1.7 Multiplying and Dividing Real Numbers 1.8 Properties of Real Numbers 2. Equations, Inequalities, and Problem Solving 2.1 Simplifying Algebraic Expressions 2.2 The Addition Property of Equality 2.3 The Multiplication Property of Equality 2.4 Solving Linear Equations Integrated Review–Solving Linear Equations 2.5 An Introduction to Problem Solving 2.6 Formulas and Problem Solving 2.7 Percent and Mixture Problem Solving 2.8 Further Problem Solving 2.9 Solving Linear Inequalities 3. Graphing 3.1 Reading Graphs and the Rectangular Coordinate System 3.2 Graphing Linear Equations 3.3 Intercepts 3.4 Slope and Rate of Change Integrated Review–Summary on Slope and Graphing Linear Equations 3.5 Equations of Lines 3.6 Functions 4. Solving Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Addition Integrated Review–Solving Systems of Equations 4.4 Systems of Linear Equations and Problem Solving 4.5 Graphing Linear Inequalities 4.6 Systems of Linear Inequalities 5. Exponents and Polynomials 5.1 Exponents 5.2 Adding and Subtracting Polynomials 5.3 Multiplying Polynomials 5.4 Special Products Integrated Review–Exponents and Operations on Polynomials 5.5 Negative Exponents and Scientific Notation 5.6 Dividing Polynomials 6. Factoring Polynomials 6.1 The Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form x 2 + bx + c 6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials 6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping 6.5 Factoring Binomials Integrated Review–Choosing a Factoring Strategy 6.6 Solving Quadratic Equations by Factoring 6.7 Quadratic Equations and Problem Solving 7. Rational Expressions 7.1 Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators 7.5 Solving Equations Containing Rational Expressions Integrated Review–Summary on Rational Expressions 7.6 Proportion and Problem Solving with Rational Equations 7.7 Variation and Problem Solving 7.8 Simplifying Complex Fractions 8. Roots and Radicals 8.1 Introduction to Radicals 8.2 Simplifying Radicals 8.3 Adding and Subtracting Radicals 8.4 Multiplying and Dividing Radicals Integrated Review–Simplifying Radicals 8.5 Solving Equations Containing Radicals 8.6 Radical Equations and Problem Solving 8.7 Rational Exponents 9. Quadratic Equations 9.1 Solving Quadratic Equations by the Square Root Property 9.2 Solving Quadratic Equations by Completing the Square 9.3 Solving Quadratic Equations by the Quadratic Formula Integrated Review–Summary on Solving Quadratic Equations 9.4 Complex Solutions of Quadratic Equations 9.5 Graphing Quadratic Equations Appendices A Geometry B Additional Exercises on Proportion and Proportion Applications C Operations on Decimals D Mean, Median, and Mode E Tables Contents of Student Resources Student Resources Study Skills Builders Bigger Picture–Study Guide Outline Practice Final Exam

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Book Synopsis

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Book SynopsisBarbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball state University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate. Marvin Bittinger has taught math at the university level for more than thirty-eight years, and he is now professor emeritus of mathematics education at Indiana University-Purdue University. Professor Bittinger has authored numerous textbooks 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 Table of ContentsTable of Contents Introduction to Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Commutative, Associative, and Distributive Laws 1.3 Fraction Notation 1.4 Positive and Negative Real Numbers 1.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers 1.7 Multiplication and Division of Real Numbers 1.8 Exponential Notation and Order of Operations Equations, Inequalities, and Problem Solving 2.1 Solving Equations 2.2 Using the Principles Together 2.3 Formulas 2.4 Applications with Percent 2.5 Problem Solving 2.6 Solving Inequalities 2.7 Solving Applications with Inequalities Introduction to Graphing 3.1 Reading Graphs, Plotting Points, and Scaling Graphs 3.2 Graphing Linear Equations 3.3 Graphing and Intercepts 3.4 Rates 3.5 Slope 3.6 Slope-Intercept Form 3.7 Point-Slope Form Polynomials 4.1 Exponents and Their Properties 4.2 Polynomials 4.3 Addition and Subtraction of Polynomials 4.4 Multiplication of Polynomials 4.5 Special Products 4.6 Polynomials in Several Variables 4.7 Division of Polynomials 4.8 Negative Exponents and Scientific Notation Polynomials and Factoring 5.1 Introduction to Factoring 5.2 Factoring Trinomials of the Type x2 + bx + c 5.3 Factoring Trinomials of the Type ax2 + bx + c 5.4 Factoring Perfect-Square Trinomials and Difference of Squares 5.5 Factoring: A General Strategy 5.6 Solving Quadratic Equations by Factoring 5.7 Solving Applications Rational Expressions and Equations 6.1 Rational Expressions 6.2 Multiplication and Division 6.3 Addition, Subtraction, and Least Common Denominators 6.4 Addition and Subtraction with Unlike Denominators 6.5 Complex Rational Expressions 6.6 Rational Equations 6.7 Applications Using Rational Equations and Proportions Systems and More Graphing 7.1 Systems of Equations and Graphing 7.2 Systems of Equations and Substitution 7.3 Systems of Equations and Elimination 7.4 More Applications Using Systems 7.5 Linear Inequalities in Two Variables 7.6 Systems of Linear Inequalities 7.7 Direct Variation and Inverse Variation Radical Expressions and Equations 8.1 Introduction to Square Roots and Radical Expressions 8.2 Multiplying and Simplifying Radical Expressions 8.3 Quotients Involving Square Roots 8.4 Radical Expressions with Several Terms 8.5 Radical Equations 8.6 Applications Using Right Triangles 8.7 Higher Roots and Rational Exponents Quadratic Equations 9.1 Solving Quadratic Equations: The Principle of Square Roots 9.2 Solving Quadratic Equations: Completing the Square 9.3 The Quadratic Formula and Applications 9.4 Formulas 9.5 Complex Numbers as Solutions of Quadratic Equations 9.6 Graphs of Quadratic Functions 9.7 Functions Appendix A. Factoring Sums or Differences of Cubes Appendix B. Mean, Median, and Mode Appendix C. Sets

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Book SynopsisMarge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan. 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 afTable of ContentsTable of Contents R. Prealgebra Review R.1 Fractions R.2 Decimals and Percents Study Skills Using Your Math Text The Real Number System 1.1 Exponents, Order of Operations, and Inequality Study Skills Taking Lecture Notes 1.2 Variables, Expressions, and Equations Study Skills Reading Your Math Text 1.3 Real Numbers and the Number Line Study Skills Using Study Cards 1.4 Adding Real Numbers 1.5 Subtracting Real Numbers Study Skills Completing Your Homework 1.6 Multiplying and Dividing Real Numbers Summary Exercises Performing Operations with Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions Study Skills Reviewing a Chapter Equations, Inequalities, and Applications 2.1 The Addition Property of Equality Study Skills Managing Your Time 2.2 The Multiplication Property of Equality 2.3 More on Solving Linear Equations Study Skills Using Study Cards Revisited Summary Exercises Applying Methods for Solving Linear Equations 2.4 An Introduction to Applications of Linear Equations 2.5 Formulas and Additional Applications from Geometry 2.6 Ratio, Proportion, and Percent Summary Exercises Applying Problem-Solving Techniques 2.7 Solving Linear Inequalities Study Skills Taking Math Tests Graphs of Linear Equations and Inequalities in Two Variables 3.1 Linear Equations and Rectangular Coordinates Study Skills Analyzing Your Test Results 3.2 Graphing Linear Equations in Two Variables 3.3 The Slope of a Line 3.4 Slope-Intercept Form of a Linear Equation 3.5 Point-Slope Form of a Linear Equation and Modeling Summary Exercises Applying Graphing and Equation-Writing Techniques for Lines Study Skills Preparing for Your Math Final Exam 3.6 Graphing Linear Inequalities in Two Variables Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination Summary Exercises Applying Techniques for Solving Systems of Linear Equations 4.4 Applications of Linear Systems 4.5 Solving Systems of Linear Inequalities Exponents and Polynomials 5.1 The Product Rule and Power Rules for Exponents 5.2 Integer Exponents and the Quotient Rule Summary Exercises Applying the Rules for Exponents 5.3 An Application of Exponents: Scientific Notation 5.4 Adding and Subtracting Polynomials 5.5 Multiplying Polynomials 5.6 Special Products 5.7 Dividing a Polynomial by a Monomial 5.8 Dividing a Polynomial by a Polynomial Factoring and Applications 6.1 Greatest Common Factors; Factor by Grouping 6.2 Factoring Trinomials 6.3 Factoring Trinomials by Grouping 6.4 Factoring Trinomials Using the FOIL Method 6.5 Special Factoring Techniques 6.6 A General Approach to Factoring 6.7 Solving Quadratic Equations Using the Zero-Factor Property 6.8 Applications of Quadratic Equations Rational Expressions and Applications 7.1 The Fundamental Property of Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Least Common Denominators 7.4 Adding and Subtracting Rational Expressions 7.5 Complex Fractions 7.6 Solving Equations with Rational Expressions Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations 7.7 Applications of Rational Expressions 7.8 Variation Equations, Inequalities, Graphs, and Systems Revisited 8.1 Review of Solving Linear Equations and Inequalities in one Variable 8.2 Set Operations and Compound Inequalities 8.3 Absolute Value Equations and Inequalities Summary Exercises Solving Linear and Absolute Value Equations and Inequalities 8.4 Review of Graphing Linear Equations in Two Variables; Slope 8.6 Systems of Linear Equations in Three Variables; Applications Relations and Functions 9.1 Introduction to Relations and Functions 9.2 Function Notation and Linear Functions 9.3 Polynomial Functions, Operations, and Graphs 9.4 Variation Roots, Radicals, and Root Functions 10.1 Radical Expressions and Graphs 10.2 Rational Exponents 10.3 Simplifying Radical Expressions 10.4 Adding and Subtracting Radical Expressions 10.5 Multiplying and Dividing Radical Expressions Summary Exercises Performing Operations with Radicals and Rational Exponents 10.6 Solving Equations with Radicals 10.7 Complex Numbers Quadratic Equations, Inequalities, and Functions 11.1 Solving Quadratic Equations by the Square Root Property 11.2 Solving Quadratic Equations by Completing the Square 11.3 Solving Quadratic Equations by the Quadratic Formula 11.4 Equations Quadratic in Form Summary Exercises Applying Methods for Solving Quadratic Equations 11.5 Formulas and Further Applications 11.6 Graphs of Quadratic Functions 11.7 More about Parabolas and Their Applications 11.8 Polynomial and Rational Inequalities Inverse, Exponential, and Logarithmic Functions 12.1 Composition of Functions 12.2 Inverse Functions 12.3 Exponential Functions 12.4 Logarithmic Functions 12.5 Properties of Logarithms 12.6 Common and Natural Logarithms 12.7 Exponential and Logarithmic Equations and Their Applications Nonlinear Functions, Conic Sections, and Nonlinear Systems 13.1 Additional Graphs of Functions 13.2 Circles and Ellipses 13.3 Hyperbolas and Functions Defined by Radicals 13.4 Nonlinear Systems of Equations 13.5 Second-Degree Inequalities and Systems of Inequalities Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra) Appendix B: Synthetic Division Appendix C: Solving Systems of Linear Equations by Matrix Methods Answers to Selected Exercises Index

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Book Synopsis

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Book SynopsisBarbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball state University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate. Marvin Bittinger has taught math at the university level for more than thirty-eight years, and he is now professor emeritus of mathematics education at Indiana University-Purdue University. Professor Bittinger has authored numerous textbooks 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 Table of ContentsTable of Contents Introduction to Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Commutative, Associative, and Distributive Laws 1.3 Fraction Notation 1.4 Positive and Negative Real Numbers 1.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers 1.7 Multiplication and Division of Real Numbers 1.8 Exponential Notation and Order of Operations Equations, Inequalities, and Problem Solving 2.1 Solving Equations 2.2 Using the Principles Together 2.3 Formulas 2.4 Applications with Percent 2.5 Problem Solving 2.6 Solving Inequalities 2.7 Solving Applications with Inequalities Introduction to Graphing 3.1 Reading Graphs, Plotting Points, and Scaling Graphs 3.2 Graphing Linear Equations 3.3 Graphing and Intercepts 3.4 Rates 3.5 Slope 3.6 Slope-Intercept Form 3.7 Point-Slope Form Polynomials 4.1 Exponents and Their Properties 4.2 Polynomials 4.3 Addition and Subtraction of Polynomials 4.4 Multiplication of Polynomials 4.5 Special Products 4.6 Polynomials in Several Variables 4.7 Division of Polynomials 4.8 Negative Exponents and Scientific Notation Polynomials and Factoring 5.1 Introduction to Factoring 5.2 Factoring Trinomials of the Type x2 + bx + c 5.3 Factoring Trinomials of the Type ax2 + bx + c 5.4 Factoring Perfect-Square Trinomials and Difference of Squares 5.5 Factoring: A General Strategy 5.6 Solving Quadratic Equations by Factoring 5.7 Solving Applications Rational Expressions and Equations 6.1 Rational Expressions 6.2 Multiplication and Division 6.3 Addition, Subtraction, and Least Common Denominators 6.4 Addition and Subtraction with Unlike Denominators 6.5 Complex Rational Expressions 6.6 Rational Equations 6.7 Applications Using Rational Equations and Proportions Systems and More Graphing 7.1 Systems of Equations and Graphing 7.2 Systems of Equations and Substitution 7.3 Systems of Equations and Elimination 7.4 More Applications Using Systems 7.5 Linear Inequalities in Two Variables 7.6 Systems of Linear Inequalities 7.7 Direct Variation and Inverse Variation Radical Expressions and Equations 8.1 Introduction to Square Roots and Radical Expressions 8.2 Multiplying and Simplifying Radical Expressions 8.3 Quotients Involving Square Roots 8.4 Radical Expressions with Several Terms 8.5 Radical Equations 8.6 Applications Using Right Triangles 8.7 Higher Roots and Rational Exponents Quadratic Equations 9.1 Solving Quadratic Equations: The Principle of Square Roots 9.2 Solving Quadratic Equations: Completing the Square 9.3 The Quadratic Formula and Applications 9.4 Formulas 9.5 Complex Numbers as Solutions of Quadratic Equations 9.6 Graphs of Quadratic Functions 9.7 Functions Appendix A. Factoring Sums or Differences of Cubes Appendix B. Mean, Median, and Mode Appendix C. Sets

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Book Synopsis

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Book SynopsisBarbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball state University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate. Marvin Bittinger has taught math at the university level for more than thirty-eight years, and he is now professor emeritus of mathematics education at Indiana University-Purdue University. Professor Bittinger has authored numerous textbooks 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 Table of Contents Chapter 1: Introduction to Algebraic Expressions Chapter 2: Equations, Inequalities, and Problem Solving Chapter 3: Introduction to Graphing Chapter 4: Polynomials Chapter 5: Polynomials and Factoring Chapter 6: Rational Expressions and Equations Chapter 7: Functions and Graphs Chapter 8: Systems of Linear Equations and Problem Solving Chapter 9: Inequalities and Problem Solving Chapter 10: Exponents and Radicals Chapter 11: Quadratic Functions and Equations Chapter 12: Exponential Functions and Logarithmic Functions Chapter 13: Conic Sections Chapter 14: Sequences, Series, and the Binomial Theorem Chapter R: Elementary Algebra Review

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Book SynopsisBarbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball state University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate. Marvin Bittinger has taught math at the university level for more than thirty-eight years, and he is now professor emeritus of mathematics education at Indiana University-Purdue University. Professor Bittinger has authored numerous textbooks 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 Table of Contents Chapter 1: Introduction to Algebraic Expressions Chapter 2: Equations, Inequalities, and Problem Solving Chapter 3: Introduction to Graphing Chapter 4: Polynomials Chapter 5: Polynomials and Factoring Chapter 6: Rational Expressions and Equations Chapter 7: Functions and Graphs Chapter 8: Systems of Linear Equations and Problem Solving Chapter 9: Inequalities and Problem Solving Chapter 10: Exponents and Radicals Chapter 11: Quadratic Functions and Equations Chapter 12: Exponential Functions and Logarithmic Functions Chapter 13: Conic Sections Chapter 14: Sequences, Series, and the Binomial Theorem Chapter R: Elementary Algebra Review

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Book SynopsisAbout our authors Henry Edwards is emeritus professor of mathematics at the University of Georgia. He earned his Ph.D. at the University of Tennessee in 1960, and recently retired after 40 years of classroom teaching (including calculus or differential equations almost every term) at the universities of Tennessee, Wisconsin, and Georgia, with a brief interlude at the Institute for Advanced Study (Princeton) as an Alfred P. Sloan Research Fellow. He has received numerous teaching awards, including the University of Georgia's honoratus?medal in 1983 (for sustained excellence in honors teaching), its Josiah Meigs award in 1991 (the institution's highest award for teaching), and the 1997 statewide Georgia Regents award for research university faculty teaching excellence. His scholarly career has ranged from research and dissertation direction in topology to the history of mathematics to computing and technology in the teaching and applications of mathematics. Table of Contents First-Order Differential Equations 1.1 Differential Equations and Mathematical Models 1.2 Integrals as General and Particular Solutions 1.3 Slope Fields and Solution Curves 1.4 Separable Equations and Applications 1.5 Linear First-Order Equations 1.6 Substitution Methods and Exact Equations Mathematical Models and Numerical Methods 2.1 Population Models 2.2 Equilibrium Solutions and Stability 2.3 Acceleration - Velocity Models 2.4 Numerical Approximation: Euler's Method 2.5 A Closer Look at the Euler Method 2.6 The Runge - Kutta Method Linear Systems and Matrices 3.1 Introduction to Linear Systems 3.2 Matrices and Gaussian Elimination 3.3 Reduced Row-Echelon Matrices 3.4 Matrix Operations 3.5 Inverses of Matrices 3.6 Determinants 3.7 Linear Equations and Curve Fitting Vector Spaces 4.1 The Vector Space R3 4.2 The Vector Space Rn and Subspaces 4.3 Linear Combinations and Independence of Vectors 4.4 Bases and Dimension for Vector Spaces 4.5 Row and Column Spaces 4.6 Orthogonal Vectors in Rn 4.7 General Vector Spaces Higher-Order Linear Differential Equations 5.1 Introduction: Second-Order Linear Equations 5.2 General Solutions of Linear Equations 5.3 Homogeneous Equations with Constant Coefficients 5.4 Mechanical Vibrations 5.5 Nonhomogeneous Equations and Undetermined Coefficients 5.6 Forced Oscillations and Resonance Eigenvalues and Eigenvectors 6.1 Introduction to Eigenvalues 6.2 Diagonalization of Matrices 6.3 Applications Involving Powers of Matrices Linear Systems of Differential Equations 7.1 First-Order Systems and Applications 7.2 Matrices and Linear Systems 7.3 The Eigenvalue Method for Linear Systems 7.4 A Gallery of Solution Curves of Linear Systems 7.5 Second-Order Systems and Mechanical Applications 7.6 Multiple Eigenvalue Solutions 7.7 Numerical Methods for Systems Matrix Exponential Methods 8.1 Matrix Exponentials and Linear Systems 8.2 Nonhomogeneous Linear Systems 8.3 Spectral Decomposition Methods Nonlinear Systems and Phenomena 9.1 Stability and the Phase Plane 9.2 Linear and Almost Linear Systems 9.3 Ecological Models: Predators and Competitors 9.4 Nonlinear Mechanical Systems Laplace Transform Methods 10.1 Laplace Transforms and Inverse Transforms 10.2 Transformation of Initial Value Problems 10.3 Translation and Partial Fractions 10.4 Derivatives, Integrals, and Products of Transforms 10.5 Periodic and Piecewise Continuous Input Functions Power Series Methods 11.1 Introduction and Review of Power Series 11.2 Power Series Solutions 11.3 Frobenius Series Solutions 11.4 Bessel Functions Appendices A: Existence and Uniqueness of Solutions B: Theory of Determinants   APPLICATION MODULES The modules listed below follow the indicated sections in the text. Most provide computing projects that illustrate the corresponding text sections. Many of these modules are enhanced by the supplementary material found at the new Expanded Applications website. 1.3 Computer-Generated Slope Fields and Solution Curves 1.4 The Logistic Equation 1.5 Indoor Temperature Oscillations 1.6 Computer Algebra Solutions 2.1 Logistic Modeling of Population Data 2.3 Rocket Propulsion 2.4 Implementing Euler's Method 2.5 Improved Euler Implementation 2.6 Runge-Kutta Implementation 3.2 Automated Row Operations 3.3 Automated Row Reduction 3.5 Automated Solution of Linear Systems 5.1 Plotting Second-Order Solution Families 5.2 Plotting Third-Order Solution Families 5.3 Approximate Solutions of Linear Equations 5.5 Automated Variation of Parameters 5.6 Forced Vibrations and Resonance 7.1 Gravitation and Kepler's Laws of Planetary Motion 7.3 Automatic Calculation of Eigenvalues and Eigenvectors 7.4 Dynamic Phase Plane Graphics 7.5 Earthquake-Induced Vibrations of Multistory Buildings 7.6 Defective Eigenvalues and Generalized Eigenvectors 7.7 Comets and Spacecraft 8.1 Automated Matrix Exponential Solutions 8.2 Automated Variation of Parameters 9.1 Phase Portraits and First-Order Equations 9.2 Phase Portraits of Almost Linear Systems 9.3 Your Own Wildlife Conservation Preserve 9.4 The Rayleigh and van der Pol Equations

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Book SynopsisBarbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball state University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate. Marvin Bittinger has taught math at the university level for more than thirty-eight years, and he is now professor emeritus of mathematics education at Indiana University-Purdue University. Professor Bittinger has authored numerous textbooks 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 Table of Contents Chapter 1: Introduction to Algebraic Expressions Chapter 2: Equations, Inequalities, and Problem Solving Chapter 3: Introduction to Graphing Chapter 4: Polynomials Chapter 5: Polynomials and Factoring Chapter 6: Rational Expressions and Equations Chapter 7: Functions and Graphs Chapter 8: Systems of Linear Equations and Problem Solving Chapter 9: Inequalities and Problem Solving Chapter 10: Exponents and Radicals Chapter 11: Quadratic Functions and Equations Chapter 12: Exponential Functions and Logarithmic Functions Chapter 13: Conic Sections Chapter 14: Sequences, Series, and the Binomial Theorem Chapter R: Elementary Algebra Review

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Book SynopsisThe manual provides detailed solutions to the odd-numbered section-level exercises and to all margin, Relating Concepts, Summary, Chapter Review, Chapter Test, and Cumulative Review Exercises.Table of ContentsTable of Contents R. Prealgebra Review R.1 Fractions R.2 Decimals and Percents Study Skills Using Your Math Text The Real Number System 1.1 Exponents, Order of Operations, and Inequality Study Skills Taking Lecture Notes 1.2 Variables, Expressions, and Equations Study Skills Reading Your Math Text 1.3 Real Numbers and the Number Line Study Skills Using Study Cards 1.4 Adding Real Numbers 1.5 Subtracting Real Numbers Study Skills Completing Your Homework 1.6 Multiplying and Dividing Real Numbers Summary Exercises Performing Operations with Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions Study Skills Reviewing a Chapter Equations, Inequalities, and Applications 2.1 The Addition Property of Equality Study Skills Managing Your Time 2.2 The Multiplication Property of Equality 2.3 More on Solving Linear Equations Study Skills Using Study Cards Revisited Summary Exercises Applying Methods for Solving Linear Equations 2.4 An Introduction to Applications of Linear Equations 2.5 Formulas and Additional Applications from Geometry 2.6 Ratio, Proportion, and Percent Summary Exercises Applying Problem-Solving Techniques 2.7 Solving Linear Inequalities Study Skills Taking Math Tests Graphs of Linear Equations and Inequalities in Two Variables 3.1 Linear Equations and Rectangular Coordinates Study Skills Analyzing Your Test Results 3.2 Graphing Linear Equations in Two Variables 3.3 The Slope of a Line Study Skills Preparing for Your Math Final Exam 3.4 Slope-Intercept Form of a Linear Equation 3.5 Point-Slope Form of a Linear Equation and Modeling Summary Exercises Applying Graphing and Equation-Writing Techniques for Lines 3.6 Graphing Linear Inequalities in Two Variables Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination Summary Exercises Applying Techniques for Solving Systems of Linear Equations 4.4 Applications of Linear Systems 4.5 Solving Systems of Linear Inequalities Exponents and Polynomials 5.1 The Product Rule and Power Rules for Exponents 5.2 Integer Exponents and the Quotient Rule Summary Exercises Applying the Rules for Exponents 5.3 An Application of Exponents: Scientific Notation 5.4 Adding and Subtracting Polynomials 5.5 Multiplying Polynomials 5.6 Special Products 5.7 Dividing a Polynomial by a Monomial 5.8 Dividing a Polynomial by a Polynomial Factoring and Applications 6.1 Greatest Common Factors; Factor by Grouping 6.2 Factoring Trinomials 6.3 Factoring Trinomials by Grouping 6.4 Factoring Trinomials Using the FOIL Method 6.5 Special Factoring Techniques Summary Exercises Recognizing and Applying Factoring Strategies 6.6 Solving Quadratic Equations Using the Zero-Factor Property 6.7 Applications of Quadratic Equations Rational Expressions and Applications 7.1 The Fundamental Property of Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Least Common Denominators 7.4 Adding and Subtracting Rational Expressions 7.5 Complex Fractions 7.6 Solving Equations with Rational Expressions Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations 7.7 Applications of Rational Expressions 7.8 Variation Roots and Radicals 8.1 Evaluating Roots 8.2 Multiplying, Dividing, and Simplifying Radicals 8.3 Adding and Subtracting Radicals 8.4 Rationalizing the Denominator 8.5 More Simplifying and Operations with Radicals Summary Exercises Applying Operations with Radicals 8.6 Solving Equations with Radicals Quadratic Equations 9.1 Solving Quadratic Equations by the Square Root Property 9.2 Solving Quadratic Equations by Completing the Square 9.3 Solving Quadratic Equations by the Quadratic Formula Summary Exercises Applying Methods for Solving Quadratic Equations 9.4 Graphing Quadratic Equations 9.5 Introduction to Functions Appendix: Factoring Sums and Differences of Cubes

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Book Synopsis

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Book SynopsisAbout our authors Marvin Bittinger has been teaching math at the university level for more than 38 years. Since 1968, he has been employed at Indiana University - Purdue University Indianapolis (IUPUI) 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. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. He also has an interest in philosophy and theology,

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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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