Published by Pearson (January 20, 2015) © 2016
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Preface
Study Skills: Using Your Math Textbook
R. Prealgebra Review
R.1 Fractions
R.2 Decimals and Percents
Study Skills: Reading Your Math Textbook
1. The Real Number System
1.1 Exponents, Order of Operations, and Inequality
Study Skills: Taking Lecture Notes
1.2 Variables, Expressions, and Equations
1.3 Real Numbers and the Number Line
Study Skills: Completing Your Homework
1.4 Adding and Subtracting Real Numbers
Study Skills: Using Study Cards
1.5 Multiplying and Dividing Real Numbers
Summary Exercises: Performing Operations with Real Numbers
1.6 Properties of Real Numbers
1.7 Simplifying Expressions
Study Skills: Reviewing a Chapter
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Mixed Review Exercises
Chapter 1 Test
2. Linear Equations and Inequalities in One Variable
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 Applications of Linear Equations
2.5 Formulas and Additional Applications from Geometry
2.6 Ratio, Proportion, and Percent
2.7 Further Applications of Linear Equations
2.8 Solving Linear Inequalities
Study Skills: Taking Math Tests
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Mixed Review Exercises
Chapter 2 Test
Chapters R–2 Cumulative Review Exercises
3. 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
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Mixed Review Exercises
Chapter 3 Test
Chapters R–3 Cumulative Review Exercises
4. Exponents and Polynomials
4.1 The Product Rule and Power Rules for Exponents
4.2 Integer Exponents and the Quotient Rule
Summary Exercises: Applying the Rules for Exponents
4.3 Scientific Notation
4.4 Adding, Subtracting, and Graphing Polynomials
4.5 Multiplying Polynomials
4.6 Special Products
4.7 Dividing Polynomials
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Mixed Review Exercises
Chapter 4 Test
Chapters R–4 Cumulative Review Exercises
5. Factoring and Applications
5.1 The Greatest Common Factor; Factoring by Grouping
5.2 Factoring Trinomials
5.3 More on Factoring Trinomials
5.4 Special Factoring Techniques
Summary Exercises: Recognizing and Applying Factoring Strategies
5.5 Solving Quadratic Equations Using the Zero-Factor Property
5.6 Applications of Quadratic Equations
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Mixed Review Exercises
Chapter 5 Test
Chapters R–5 Cumulative Review Exercises
6. Rational Expressions and Applications
6.1 The Fundamental Property of Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
6.3 Least Common Denominators
6.4 Adding and Subtracting Rational Expressions
6.5 Complex Fractions
6.6 Solving Equations with Rational Expressions
Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations
6.7 Applications of Rational Expressions
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Mixed Review Exercises
Chapter 6 Test
Chapters R–6 Cumulative Review Exercises
7. Graphs, Linear Equations, and Systems
7.1 Review of Graphs and Slopes of Lines
7.2 Review of Equations of Lines; Linear Models
7.3 Solving Systems of Linear Equations by Graphing
7.4 Solving Systems of Linear Equations by Substitution
7.5 Solving Systems of Linear Equations by Elimination
Summary Exercises: Applying Techniques for Solving Systems of Linear Equations
7.6 Systems of Linear Equations in Three Variables
7.7 Applications of Systems of Linear Equations
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Mixed Review Exercises
Chapter 7 Test
Chapters R–7 Cumulative Review Exercises
8. Inequalities and Absolute Value
8.1 Review of Linear 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 Linear Inequalities and Systems in Two Variables
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Mixed Review Exercises
Chapter 8 Test
Chapters R–8 Cumulative Review Exercises
9. Relations and Functions
9.1 Introduction to Relations and Functions
9.2 Function Notation and Linear Functions
9.3 Polynomial Functions, Operations, and Composition
9.4 Variation
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Mixed Review Exercises
Chapter 9 Test
Chapters R–9 Cumulative Review Exercises
10. Roots, Radicals, and Root Functions
10.1 Radical Expressions and Graphs
10.2 Rational Exponents
10.3 Simplifying Radicals, the Distance Formula, and Circles
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
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Mixed Review Exercises
Chapter 10 Test
Chapters R–10 Cumulative Review Exercises
11. 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 Solving 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
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Mixed Review Exercises
Chapter 11 Test
Chapters R–11 Cumulative Review Exercises
12. Inverse, Exponential, and Logarithmic Functions
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithms
12.5 Common and Natural Logarithms
12.6 Exponential and Logarithmic Equations; Further Applications
Chapter 12 Summary
Chapter 12 Review Exercises
Chapter 12 Mixed Review Exercises
Chapter 12 Test
Chapters R–12 Cumulative Review Exercises
13. Nonlinear Functions, Conic Sections, and Nonlinear Systems (Online eText Only)
13.1 Additional Graphs of Functions
13.2 The Circle and the Ellipse
13.3 The Hyperbola and Functions Defined by Radicals
13.4 Nonlinear Systems of Equations
13.5 Second-Degree Inequalities and Systems of Inequalities
Chapter 13 Summary
Chapter 13 Review Exercises
Chapter 13 Mixed Review Exercises
Chapter 13 Test
Chapters R--13 Cumulative Review Exercises
14. Sequences and Series (Online eText Only)
14.1 Sequences and Series
14.2 Arithmetic Sequences
14.3 Geometric Sequences
14.4 The Binomial Theorem
Chapter 14 Summary
Chapter 14 Review Exercises
Chapter 14 Mixed Review Exercises
Chapter 14 Test
Chapters R--14 Cumulative Review Exercises
Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Beginning to Intermediate Algebra)
Appendix B: Synthetic Division
Appendix C: Determinants and Cramer's Rule
Answers to Selected Exercises
Glossary
Credits
Index
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