Beginning and Intermediate Algebra, 6th Edition
- Length: 1200 pages
- Edition: 6
- Language: English
- Publisher: McGraw-Hill Education
- Publication Date: 2021-10-20
- ISBN-10: 1260673537
- ISBN-13: 9781260673531
- Sales Rank: #0 (See Top 100 Books)
The 6th Edition of Beginning & Intermediate Algebra continues the Miller/O’Neill/Hyde author team’s approach in addressing the needs of developmental level students to help them get better results. Content updates include new end-of-section activities, prerequisite review exercises, and new study skills videos.
This new edition is available in ALEKS 360. In a single platform, ALEKS provides a balance of adaptive practice for skill mastery and homework, tests, and quizzes for application and assessment so that you can create the assignments your students need to have the best outcome in your course. In addition to content updates to the text, we are continuously adding new features to ALEKS 360–including new video assignments, an enhanced gradebook experience, end-of-chapter questions aligned to the text, and more.
Cover Page Title Page Copyright Page Letter from the Authors About the Authors Dedication The Miller/O’Neill/Hyde Developmental Math Series Acknowledgments Contents To the Student Student Guide to the Text Get Better Results How Will Miller/O’Neill/Hyde Help Your Students Get Better Results? Formula for Student Success Quality Learning Tools Additional Supplements Our Commitment to Market Development and Accuracy Acknowledgments and Reviewers Connect Chapter 1: The Set of Real Numbers Chapter 1: Introduction Numbers in Our World Section 1.1 Fractions 1. Basic Definitions 2. Prime Factorization 3. Simplifying Fractions to Lowest Terms 4. Multiplying Fractions 5. Dividing Fractions 6. Adding and Subtracting Fractions 7. Operations on Mixed Numbers Section 1.1 Activity Section 1.1 Practice Exercises Section 1.2 Introduction to Algebra and the Set of Real Numbers 1. Variables and Expressions 2. The Set of Real Numbers 3. Inequalities 4. Opposite of a Real Number 5. Absolute Value of a Real Number Section 1.2 Activity Section 1.2 Practice Exercises Section 1.3 Exponents, Square Roots, and the Order of Operations 1. Exponential Expressions 2. Square Roots 3. Order of Operations 4. Translations Section 1.3 Activity Section 1.3 Practice Exercises Section 1.4 Exponents, Square Roots, and the Order of Operations 1. Addition of Real Numbers and the Number Line 2. Addition of Real Numbers 3. Translations 4. Applications Involving Addition of Real Numbers Section 1.4 Activity Section 1.4 Practice Exercises Section 1.5 Subtraction of Real Numbers 1. Subtraction of Real Numbers 2. Translations 3. Applications Involving Subtraction 4. Applying the Order of Operations Section 1.5 Activity Section 1.5 Practice Exercises Problem Recognition Exercises Addition and Subtraction of Real Numbers Section 1.6: Multiplication and Division of Real Numbers 1. Multiplication of Real Numbers 2. Exponential Expressions 3. Division of Real Numbers 4. Order of Operations Section 1.6 Activity Section 1.6 Practice Exercises Problem Recognition Exercises Adding, Subtracting, Multiplying, and Dividing Real Numbers Section 1.7 Properties of Real Numbers and Simplifying Expressions 1. Commutative Properties of Real Numbers 2. Associative Properties of Real Numbers 3. Identity and Inverse Properties of Real Numbers 4. Distributive Property of Multiplication Over Addition 5. Algebraic Expressions Section 1.7 Activity Section 1.7 Practice Exercises Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Test Chapter 2: Linear Equations and Inequalities Chapter 2: Introduction Mathematics as a Language Section 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 1. Definition of a Linear Equation in One Variable 2. Addition and Subtraction Properties of Equality 3. Multiplication and Division Properties of Equality 4. Translations Section 2.1 Activity Section 2.1 Practice Exercises Section 2.2 Solving Linear Equations 1. Linear Equations Involving Multiple Steps 2. Procedure for Solving a Linear Equation in One Variable 3. Conditional Equations, Identities, and Contradictions Section 2.2 Activity Section 2.2 Practice Exercises Section 2.3 Linear Equations: Clearing Fractions and Decimals 1. Linear Equations Containing Fractions 2. Linear Equations Containing Decimals Section 2.3 Activity Section 2.3 Practice Exercises Problem Recognition Exercises Equations vs. Expressions Section 2.4 Applications of Linear Equations: Introduction to Problem Solving 1. Problem-Solving Strategies 2. Translations Involving Linear Equations 3. Consecutive Integer Problems 4. Applications of Linear Equations Section 2.4 Activity Section 2.4 Practice Exercises Section 2.5 Applications Involving Percents 1. Basic Percent Equations 2. Applications Involving Simple Interest 3. Applications Involving Discount and Markup Section 2.5 Activity Section 2.5 Practice Exercises Section 2.6 Formulas and Applications of Geometry 1. Literal Equations and Formulas 2. Geometry Applications Section 2.6 Activity Section 2.6 Practice Exercises Section 2.7 Mixture Applications and Uniform Motion 1. Applications Involving Cost 2. Applications Involving Mixtures 3. Applications Involving Uniform Motion Section 2.7 Activity Section 2.7 Practice Exercises Section 2.8 Linear Inequalities 1. Graphing Linear Inequalities 2. Set-Builder Notation and Interval Notation 3. Addition and Subtraction Properties of Inequality 4. Multiplication and Division Properties of Inequality 5. Inequalities of the Form a<x<b 6. Applications of Linear Inequalities Section 2.8 Activity Section 2.8 Practice Exercises Chapter 2 Summary Chapter 2 Review Exercises Section 2.1 Section 2.2 Section 2.3 Section 2.4 Section 2.5 Section 2.6 Section 2.7 Section 2.8 Chapter 2 Test Chapter 3: Graphing Linear Equations in Two Variables Chapter 3: Introduction Mathematics in Gaming Section 3.1 Rectangular Coordinate System 1. Interpreting Graphs 2. Plotting Points in a Rectangular Coordinate System 3. Applications of Plotting and Identifying Points Section 3.1 Activity Section 3.1 Practice Exercises Section 3.2 Linear Equations in Two Variables 1. Definition of a Linear Equation in Two Variables 2. Graphing Linear Equations in Two Variables by Plotting Points 3. x- and y-Intercepts 4. Horizontal and Vertical Lines Section 3.2 Activity Section 3.2 Practice Exercises Section 3.3 Slope of a Line and Rate of Change 1. Introduction to Slope 2. Slope Formula 3. Parallel and Perpendicular Lines 4. Applications of Slope: Rate of Change Section 3.3 Activity Section 3.3 Practice Exercises Section 3.4 Slope-Intercept Form of a Linear Equation 1. Slope-Intercept Form of a Linear Equation 2. Graphing a Line from Its Slope and y-Intercept 3. Determining Whether Two Lines Are Parallel, Perpendicular, or Neither 4. Writing an Equation of a Line Using Slope-Intercept Form Section 3.4 Activity Section 3.4 Practice Exercises Problem Recognition Exercises Linear Equations in Two Variables Section 3.5 Point-Slope Formula 1. Writing an Equation of a Line Using the Point-Slope Formula 2. Writing an Equation of a Line Given Two Points 3. Writing an Equation of a Line Parallel or Perpendicular to Another Line 4. Different Forms of Linear Equations: A Summary Section 3.5 Activity Section 3.5 Practice Exercises Section 3.6 Applications of Linear Equations and Modeling 1. Interpreting a Linear Equation in Two Variables 2. Writing a Linear Model Using Observed Data Points 3. Writing a Linear Model Given a Fixed Value and a Rate of Change Section 3.6 Activity Section 3.6 Practice Exercises Chapter 3 Summary Chapter 3 Review Exercises Section 3.1 Section 3.2 Section 3.3 Section 3.4 Section 3.5 Section 3.6 Chapter 3 Test Chapter 4: Systems of Linear Equations in Two Variables Chapter 4: Introduction Section 4.1 Solving Systems of Equations by the Graphing Method 1. Solutions to a System of Linear Equations 2. Solving Systems of Linear Equations by Graphing Section 4.1 Activity Section 4.1 Practice Exercises Section 4.2 Solving Systems of Equations by the Substitution Method 1. Solving Systems of Linear Equations by Using the Substitution Method 2. Applications of the Substitution Method Section 4.2 Activity Section 4.2 Practice Exercises Section 4.3 Solving Systems of Equations by the Addition Method 1. Solving Systems of Linear Equations by Using the Addition Method 2. Summary of Methods for Solving Systems of Linear Equations in Two Variables Section 4.3 Activity Section 4.3 Practice Exercises Problem Recognition Exercises Systems of Equations Section 4.4: Applications of Linear Equations in Two Variables 1. Applications Involving Cost 2. Applications Involving Principal and Interest 3. Applications Involving Mixtures 4. Applications Involving Distance, Rate, and Time Section 4.4 Activity Section 4.4 Practice Exercises Section 4.5: Systems of Linear Equations in Three Variables 1. Solutions to Systems of Linear Equations in Three Variables 2. Solving Systems of Linear Equations in Three Variables Section 4.5 Activity Section 4.5 Practice Exercises Section 4.6: Applications of Systems of Linear Equations in Three Variables 1. Applications Involving Geometry 2. Applications Involving Mixtures Section 4.6 Activity Section 4.6 Practice Exercises Chapter 4: Summary Chapter 4: Review Exercises Section 4.1 Section 4.2 Section 4.3 Section 4.4 Section 4.5 Section 4.6 Chapter 4: Test Chapter 5: Polynomials and Properties of Exponents Chapter 5: Introduction Mathematics to Compute Cost Section 5.1 Multiplying and Dividing Expressions With Common Bases 1. Review of Exponential Notation 2. Evaluating Expressions With Exponents 3. Multiplying and Dividing Expressions With Common Bases 4. Simplifying Expressions With Exponents 5. Applications of Exponents Section 5.1 Activity Section 5.1 Practice Exercises Section 5.2 More Properties of Exponents 1. Power Rule for Exponents 2. The Properties a b m = a m b m and a b m = a m b m Section 5.2 Activity Section 5.2 Practice Exercises Section 5.3 Definitions of b0 and b−n 1. Definition of b0 2. Definition of b−n 3. Properties of Integer Exponents: A Summary Section 5.3 Activity Section 5.3 Practice Exercises Problem Recognition Exercises Properties of Exponents Section 5.4 Scientific Notation 1. Writing Numbers in Scientific Notation 2. Writing Numbers in Standard Form 3. Multiplying and Dividing Numbers in Scientific Notation Section 5.4 Activity Section 5.4 Practice Exercises Section 5.5 Addition and Subtraction of Polynomials 1. Introduction to Polynomials 2. Addition of Polynomials 3. Subtraction of Polynomials 4. Polynomials and Applications to Geometry Section 5.5 Activity Section 5.5 Practice Exercises Section 5.6 Multiplication of Polynomials and Special Products 1. Multiplication of Polynomials 2. Special Case Products: Difference of Squares and Perfect Square Trinomials 3. Applications to Geometry Section 5.6 Activity Section 5.6 Practice Exercises Section 5.7 Division of Polynomials 1. Division by a Monomial 2. Long Division 3. Synthetic Division Section 5.7 Activity Section 5.7 Practice Exercises Problem Recognition Exercises Operations on Polynomials Chapter 5 Summary Chapter 5 Review Exercises Section 5.1 Section 5.2 Section 5.3 Section 5.4 Section 5.5 Section 5.6 Section 5.7 Chapter 5 Test Chapter 6: Factoring Polynomials Chapter 6: Introduction Mathematics in the Workplace Section 6.1 Greatest Common Factor and Factoring by Grouping 1. Identifying the Greatest Common Factor 2. Factoring Out the Greatest Common Factor 3. Factoring Out a Negative Factor 4. Factoring Out a Binomial Factor 5. Factoring by Grouping Section 6.1 Activity Section 6.1 Practice Exercises Section 6.2 Factoring Trinomials of the Form x2 + b x + c 1. Factoring Trinomials With a Leading Coefficient of 1 Section 6.2 Activity Section 6.2 Practice Exercises Section 6.3 Factoring Trinomials: Trial-and-Error Method 1. Factoring Trinomials by the Trial-and-Error Method Section 6.3 Activity Section 6.3 Practice Exercises Section 6.4 Factoring Trinomials: AC-Method 1. Factoring Trinomials by the AC-Method Section 6.4 Activity Section 6.4 Practice Exercises Section 6.5 Difference of Squares and Perfect Square Trinomials 1. Factoring a Difference of Squares 2. Factoring Perfect Square Trinomials Section 6.5 Activity Section 6.5 Practice Exercises Section 6.6 Sum and Difference of Cubes 1. Factoring a Sum or Difference of Cubes 2. Factoring Binomials: A Summary Section 6.6 Activity Section 6.6 Practice Exercises Problem Recognition Exercises Factoring Strategy Section 6.7 Solving Equations Using the Zero Product Rule 1. Definition of a Quadratic Equation 2. Zero Product Rule 3. Solving Equations by Factoring Section 6.7 Activity Section 6.7 Practice Exercises Problem Recognition Exercises Polynomial Expressions Versus Polynomial Equations Section 6.8 Applications of Quadratic Equations 1. Applications of Quadratic Equations 2. Pythagorean Theorem Section 6.8 Activity Section 6.8 Practice Exercises Chapter 6: Summary Chapter 6: Review Exercises Section 6.1 Section 6.2 Section 6.3 Section 6.4 Section 6.5 Section 6.6 Section 6.7 Section 6.8 Chapter 6: Test Chapter 7: Rational Expressions and Equations Chapter 7: Introduction Section 7.1 Introduction to Rational Expressions 1. Definition of a Rational Expression 2. Evaluating Rational Expressions 3. Restricted Values of a Rational Expression 4. Simplifying Rational Expressions 5. Simplifying a Ratio of −1 Section 7.1 Activity Section 7.1 Practice Exercises Section 7.2 Multiplication and Division of Rational Expressions 1. Multiplication of Rational Expressions 2. Division of Rational Expressions Section 7.2 Activity Section 7.2 Practice Exercises Section 7.3 Least Common Denominator 1. Least Common Denominator 2. Writing Rational Expressions With the Least Common Denominator Section 7.3 Activity Section 7.3 Practice Exercises Section 7.4 Addition and Subtraction of Rational Expressions 1. Addition and Subtraction of Rational Expressions With the Same Denominator 2. Addition and Subtraction of Rational Expressions With Different Denominators 3. Using Rational Expressions in Translations Section 7.4 Activity Section 7.4 Practice Exercises Problem Recognition Exercises Operations on Rational Expressions Section 7.5 Complex Fractions 1. Simplifying Complex Fractions (Method I) 2. Simplifying Complex Fractions (Method II) Section 7.5 Activity Section 7.5 Practice Exercises Section 7.6 Rational Equations 1. Introduction to Rational Equations 2. Solving Rational Equations 3. Solving Formulas Involving Rational Expressions Section 7.6 Activity Section 7.6 Practice Exercises Problem Recognition Exercises Comparing Rational Equations and Rational Expressions Section 7.7 Applications of Rational Equationsand Proportions 1. Solving Proportions 2. Applications of Proportions and Similar Triangles 3. Distance, Rate, and Time Applications 4. Work Applications Section 7.7 Activity Section 7.7 Practice Exercises Chapter 7 Summary Chapter 7: Review Exercises Chapter 7: Test Chapter 8: Relations and Functions Chapter 8: Introduction Mathematics in Communication Section 8.1 Introduction to Relations 1. Definition of a Relation 2. Domain and Range of a Relation 3. Applications Involving Relations Section 8.1 Activity Section 8.1 Practice Exercises Section 8.2 Introduction to Functions 1. Definition of a Function 2. Vertical Line Test 3. Function Notation 4. Finding Function Values From a Graph 5. Domain of a Function Section 8.2 Activity Section 8.2 Practice Exercises Section 8.3 Graphs of Functions 1. Linear and Constant Functions 2. Graphs of Basic Functions 3. Definition of a Quadratic Function 4. Finding the x- and y-Intercepts of a Graph Defined by y=fx Section 8.3 Activity Section 8.3 Practice Exercises Problem Recognition Exercises Characteristics of Relations Section 8.4 Algebra of Functions and Composition 1. Algebra of Functions 2. Composition of Functions 3. Operations on Functions Section 8.4 Activity Section 8.4 Practice Exercises Section 8.5 Variation 1. Definition of Direct and Inverse Variation 2. Translations Involving Variation 3. Applications of Variation Section 8.5 Activity Section 8.5 Practice Exercises Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Test Chapter 9: More Equations and Inequalities Chapter 9: Introduction Mathematics in Manufacturing Section 9.1 Compound Inequalities 1. Union and Intersection of Sets 2. Solving Compound Inequalities: And 3. Solving Inequalities of the Form a<x<b 4. Solving Compound Inequalities: Or 5. Applications of Compound Inequalities Section 9.1 Activity Section 9.1 Practice Exercises Section 9.2 Polynomial and Rational Inequalities 1. Solving Quadratic and Polynomial Inequalities 2. Solving Rational Inequalities Section 9.2 Activity Section 9.2 Practice Exercises Section 9.3 Absolute Value Equations 1. Solving Absolute Value Equations 2. Solving Equations Containing Two Absolute Values Section 9.3 Activity Section 9.3 Practice Exercises Section 9.4 Absolute Value Inequalities 1. Solving Absolute Value Inequalities by Definition 2. Solving Absolute Value Inequalities by the Test Point Method 3. Translating to an Absolute Value Expression Section 9.4 Activity Section 9.4 Practice Exercises Problem Recognition Exercises Equations and Inequalities Section 9.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables 1. Graphing Linear Inequalities in Two Variables 2. Systems of Linear Inequalities in Two Variables 3. Graphing a Feasible Region Section 9.5 Activity Section 9.5 Practice Exercises Chapter 9: Summary Chapter 9: Review Exercises Section 9.1 Section 9.2 Section 9.3 Section 9.4 Section 9.5 Chapter 9: Test Chapter 10: Radicals and Complex Numbers Chapter 10: Introduction Section 10.1 Definition of an nth Root 1. Definition of a Square Root 2. Definition of an nth Root 3. Roots of Variable Expressions 4. Pythagorean Theorem 5. Radical Functions Section 10.1 Activity Section 10.1 Practice Exercises Section 10.2 Rational Exponents 1. Definition of a1/n and am/n 2. Converting Between Rational Exponents and Radical Notation 3. Properties of Rational Exponents 4. Applications Involving Rational Exponents Section 10.2 Activity Section 10.2 Practice Exercises Section 10.3 Simplifying Radical Expressions 1. Multiplication Property of Radicals 2. Simplifying Radicals by Using the Multiplication Property of Radicals 3. Simplifying Radicals by Using the Order of Operations Section 10.3 Activity Section 10.3 Practice Exercises Section 10.4 Addition and Subtraction of Radicals 1. Addition and Subtraction of Radicals Section 10.4 Activity Section 10.4 Practice Exercises Section 10.5 Multiplication of Radicals 1. Multiplication Property of Radicals 2. Expressions of the Form ann 3. Special Case Products 4. Multiplying Radicals With Different Indices Section 10.5 Activity Section 10.5 Practice Exercises Section 10.6 Division of Radicals and Rationalization 1. Simplified Form of a Radical 2. Division Property of Radicals 3. Rationalizing the Denominator—One Term 4. Rationalizing the Denominator—Two Terms Section 10.6 Activity Section 10.6 Practice Exercises Problem Recognition Exercises Operations on Radicals Section 10.7 Solving Radical Equations 1. Solutions to Radical Equations 2. Solving Radical Equations Involving One Radical 3. Solving Radical Equations Involving More than One Radical 4. Applications of Radical Equations and Functions Section 10.7 Activity Section 10.7 Practice Exercises Section 10.8 Complex Numbers 1. Definition of i 2. Powers of i 3. Definition of a Complex Number 4. Addition, Subtraction, and Multiplication of Complex Numbers 5. Division and Simplification of Complex Numbers Section 10.8 Activity Section 10.8 Practice Exercises Chapter 10: Summary Chapter 10: Review Exercises Chapter 10: Test Chapter 11: Quadratic Equations and Functions Chapter 11: Introduction Section 11.1 Square Root Property and Completing the Square 1. Solving Quadratic Equations by Using the Square Root Property 2. Solving Quadratic Equations by Completing the Square 3. Literal Equations Section 11.1 Activity Section 11.1 Practice Exercises Section 11.2 Quadratic Formula 1. Derivation of the Quadratic Formula 2. Solving Quadratic Equations by Using the Quadratic Formula 3. Using the Quadratic Formula in Applications 4. Discriminant 5. Mixed Review: Methods to Solve a Quadratic Equation Section 11.2 Activity Section 11.2 Practice Exercises Section 11.3 Equations in Quadratic Form 1. Solving Equations by Using Substitution 2. Solving Equations Reducible to a Quadratic Section 11.3 Activity Section 11.3 Practice Exercises Problem Recognition Exercises Quadratic and Quadratic Type Equations Section 11.4 Graphs of Quadratic Functions 1. Quadratic Functions of the Form f(x)=x2+k 2. Quadratic Functions of the Formfx=x−h2 3. Quadratic Functions of the Formfx=ax2 4. Quadratic Functions of the Form fx=ax−h2+k Section 11.4 Activity Section 11.4 Practice Exercises Section 11.5 Vertex of a Parabola: Applications and Modeling 1. Writing a Quadratic Function in the Form f x = a x − h 2 + k 2. Vertex Formula 3. Determining the Vertex and Intercepts of a Quadratic Function 4. Applications and Modeling of Quadratic Functions Section 11.5 Activity Section 11.5 Practice Exercises Chapter 11: Summary Chapter 11: Review Exercises Section 11.1 Section 11.2 Section 11.3 Section 11.4 Section 11.5 Chapter 11: Test Chapter 12: Exponential and Logarithmic Functions and Applications Chapter 12: Introduction Section 12.1 Inverse Functions 1. Introduction to Inverse Functions 2. Definition of a One-to-One Function 3. Definition of the Inverse of a Function 4. Finding an Equation of the Inverse of a Function Section 12.1 Activity Section 12.1 Practice Exercises Section 12.2 Exponential Functions 1. Definition of an Exponential Function 2. Approximating Exponential Expressions With a Calculator 3. Graphs of Exponential Functions 4. Applications of Exponential Functions Section 12.2 Activity Section 12.2 Practice Exercises Section 12.3 Logarithmic Functions 1. Definition of a Logarithmic Function 2. Evaluating Logarithmic Expressions 3. The Common Logarithmic Function 4. Graphs of Logarithmic Functions 5. Applications of the Common Logarithmic Function Section 12.3 Activity Section 12.3 Practice Exercises Problem Recognition Exercises Identifying Graphs of Functions Section 12.4 Properties of Logarithms 1. Properties of Logarithms 2. Expanded Logarithmic Expressions 3. Single Logarithmic Expressions Section 12.4 Activity Section 12.4 Practice Exercises Section 12.5 The Irrational Numbere e and Change of Base 1. The Irrational Number e 2. Computing Compound Interest 3. The Natural Logarithmic Function 4. Change-of-Base Formula 5. Applications of the Natural Logarithmic Function Section 12.5 Activity Section 12.5 Practice Exercises Problem Recognition Exercises Logarithmic and Exponential Forms Section 12.6 Logarithmic and Exponential Equations andApplications 1. Solving Logarithmic Equations 2. Solving Exponential Equations 3. Applications Section 12.6 Activity Section 12.6 Practice Exercises Chapter 12 Summary Chapter 12: Review Exercises Chapter 12: Test Chapter 13: Conic Sections Chapter 13: Introduction Section 13.1 Distance Formula, Midpoint Formula, and Circles 1. Distance Formula 2. Circles 3. Writing an Equation of a Circle 4. The Midpoint Formula Section 13.1 Activity Section 13.1 Practice Exercises Section 13.2 More on the Parabola 1. Introduction to Conic Sections 2. Parabola—Vertical Axis of Symmetry 3. Parabola—Horizontal Axis of Symmetry 4. Vertex Formula Section 13.2 Activity Section 13.2 Practice Exercises Section 13.3 The Ellipse and Hyperbola 1. Standard Form of an Equation of an Ellipse 2. Standard Form of an Equation of a Hyperbola Section 13.3 Activity Section 13.3 Practice Exercises Problem Recognition Exercises Formulas and Conic Sections Section 13.4 Nonlinear Systems of Equations in Two Variables 1. Solving Nonlinear Systems of Equations by the Substitution Method 2. Solving Nonlinear Systems of Equations by the Addition Method Section 13.4 Activity Section 13.4 Practice Exercises Section 13.5 Nonlinear Inequalities and Systems of Inequalities in Two Variables 1. Nonlinear Inequalities in Two Variables 2. Systems of Nonlinear Inequalities in Two Variables Section 13.5 Activity Section 13.5 Practice Exercises Chapter 13 Summary Chapter 13 Review Exercises Chapter 13 Test Chapter 14: Binomial Expansions, Sequences, and Series Chapter 14: Introduction Section 14.1 Binomial Expansions 1. Binomial Expansions and Pascal’s Triangle 2. Factorial Notation 3. The Binomial Theorem Section 14.1 Activity Section 14.1 Practice Exercises Section 14.2 Sequences and Series 1. Finite and Infinite Sequences 2. Series Section 14.2 Activity Section 14.2 Practice Exercises Section 14.3 Arithmetic Sequences and Series 1. Arithmetic Sequences 2. Arithmetic Series Section 14.3 Activity Section 14.3 Practice Exercises Section 14.4 Geometric Sequences and Series 1. Geometric Sequences 2. Geometric Series Section 14.4 Activity Section 14.4 Practice Exercises Problem Recognition Exercises Identifying Arithmetic and Geometric Sequences Chapter 14: Summary Chapter 14: Review Exercises Section 14.1 Section 14.2 Section 14.3 Section 14.4 Chapter 14: Test Student Answer Appendix Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 Chapter 13 Chapter 14 Chapter 15 (Online) Additional Topics Appendix Application Index Application Index Subject Index Subject Index (Online) Index (Online) Index Perimeter and Circumference Formula Chapter 15(Online): Additional Topics Chapter 15: Introduction Section 15.1 Mean, Median, and Mode 1. Mean 2. Median 3. Mode 4. Weighted Mean Section 15.1 Practice Exercises Section 15.2 Introduction to Geometry 1. Perimeter 2. Area 3. Volume 4. Angles 5. Triangles Section 15.2 Practice Exercises Section 15.3 Additional Factoring 1. Factoring by Using Substitution 2. Factoring 1 Term With 3 Terms 3. Additional Factoring Strategies Section 15.3 Practice Exercises Section 15.4 Solving Systems of Linear Equations by Using Matrices 1. Introduction to Matrices 2. Solving Systems of Linear Equations by Using the Gauss-Jordan Method Section 15.4 Practice Exercises Section 15.5 Determinants and Cramer’s Rule 1. Introduction to Determinants 2. Determinant of a3 × 3 Matrix 3. Cramer’s Rule Section 15.5 Practice Exercises Section 15.6 Transformations of Graphs and Piecewise-Defined Functions 1. Transformations of Graphs 2. Piecewise-Defined Functions Section 15.6 Practice Exercises Section 15.7 Fundamentals of Counting 1. Fundamental Principle of Counting 2. Permutations 3. Combinations 4. Comparing Permutations and Combinations Section 15.7 Practice Exercises Section 15.8 Introduction to Probability 1. Basic Definitions 2. Probability of an Event 3. Estimating Probabilities From Observed Data 4. Events Expressed as Alternatives Section 15.8 Practice Exercises Section 15.9 Introduction to Modeling 1. Introduction to Modeling 2. Recognize Characteristics of Linear Behavior 3. Recognize Characteristics of Quadratic Behavior 4. Recognize Characteristics of Exponential Behavior Section 15.9 Practice Exercises Online Appendix A Review of Beginning Algebra A: Review of Beginning Algebra Section A.1 Review of the Set of Real Numbers 1. Sets of Real Numbers 2. Symbols and Mathematical Language 3. Operations on Real Numbers 4. Exponents and Square Roots 5. Order of Operations 6. Properties of Real Numbers 7. Simplifying Expressions Section A.1 Practice Exercises Section A.2 Review of Linear Equations and Linear Inequalities 1. Solving Linear Equations in One Variable 2. Problem Solving 3. Linear Inequalities Section A.2 Practice Exercises Section A.3 Review of Graphing 1. Plotting Ordered Pairs 2. Graphing Linear Equations in Two Variables 3. xy-Intercepts 4. Horizontal and Vertical Lines 5. Slope of a Line 6. Slope-Intercept Form 7. Point-Slope Formula Section A.3 Practice Exercises Section A.4 Review of Systems of Linear Equations in Two Variables 1. Solving Systems of Equations by the Graphing Method 2. Solving Systems of Equations by the Substitution Method 3. Solving Systems of Equations by the Addition Method 4. Applications of Systems of Equations Section A.4 Practice Exercises Section A.5 Review of Polynomials and Properties of Exponents 1. Properties of Exponents 2. Scientific Notation 3. Addition and Subtraction of Polynomials 4. Multiplication of Polynomials 5. Division of Polynomials Section A.5 Practice Exercises Section A.6 Review of Factoring Polynomials and Solving Quadratic Equations 1. Factoring Polynomials 2. Solving Quadratic Equations Using the Zero Product Rule Section A.6 Practice Exercises Section A.7 Review of Rational Expressions 1. Definition of a Rational Expression 2. Simplifying Rational Expressions 3. Multiplying and Dividing Rational Expressions 4. Adding and Subtracting Rational Expressions 5. Simplifying Complex Fractions 6. Solving Rational Equations Section A.7 Practice Exercises
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