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Preface

R. Review

R.1. Success in Mathematics

R.2. Sets and Classification of Numbers

R.3. Operations on Signed Numbers; Properties of Real Numbers

R.4. Order of Operations

R.5. Algebraic Expressions

1. Linear Equations and Inequalities

Part I. Linear Equations and Inequalities in One Variable

1.1. Linear Equations in One Variable

1.2. An Introduction to Problem Solving

1.3. Using Formulas to Solve Problems

1.4. Linear Inequalities in One Variable

Putting the Concepts Together (Sections 1.1–1.4)

Part II. Linear Equations and Inequalities in Two Variables

1.5. Rectangular Coordinates and Graphs of Equations

1.6. Linear Equations in Two Variables

1.7. Parallel and Perpendicular Lines

1.8. Linear Inequalities in Two Variables

Chapter 1 Activity: Pass the Paper

Chapter 1 Review

Chapter 1 Test

Cumulative Review Chapters R–1

2. Relations, Functions, and More Inequalities

2.1. Relations

2.2. An Introduction to Functions

2.3. Functions and Their Graphs

Putting the Concepts Together (Sections 2.1–2.3)

2.4. Linear Functions and Models

2.5. Compound Inequalities

2.6. Absolute Value Equations and Inequalities

Chapter 2 Activity: Shifting Discovery

Chapter 2 Review

Chapter 2 Test

3. Systems of Linear Equations and Inequalities

3.1. Systems of Linear Equations in Two Variables

3.2. Problem Solving: Systems of Two Linear Equations Containing Two Unknowns

3.3. Systems of Linear Equations in Three Variables

Putting the Concepts Together (Sections 3.1–3.3)

3.4. Using Matrices to Solve Systems

3.5. Determinants and Cramer’s Rule

3.6. Systems of Linear Inequalities

Chapter 3 Activity: Find the Numbers

Chapter 3 Review

Chapter 3 Test

Cumulative Review Chapters R–3

Getting Ready for Chapter 4: Laws of Exponents and Scientific Notation

4. Polynomials and Polynomial Functions

4.1. Adding and Subtracting Polynomials

4.2. Multiplying Polynomials

4.3. Dividing Polynomials; Synthetic Division

Putting the Concepts Together (Sections 4.1–4.3)

4.4. Greatest Common Factor; Factoring by Grouping

4.5. Factoring Trinomials

4.6. Factoring Special Products

4.7. Factoring: A General Strategy

4.8. Polynomial Equations

Chapter 4 Activity: What Is the Question?

Chapter 4 Review

Chapter 4 Test

Getting Ready for Chapter 5: A Review of Operations on Rational Numbers

5. Rational Expressions and Rational Functions

5.1. Multiplying and Dividing Rational Expressions

5.2. Adding and Subtracting Rational Expressions

5.3. Complex Rational Expressions

Putting the Concepts Together (Sections 5.1–5.3)

5.4. Rational Equations

5.5. Rational Inequalities

5.6. Models Involving Rational Expressions

5.7. Variation

Chapter 5 Activity: Correct the Quiz

Chapter 5 Review

Chapter 5 Test

Cumulative Review Chapters R–5

Getting Ready for Chapter 6: Square Roots

6. Radicals and Rational Exponents

6.1. nth Roots and Rational Exponents

6.2. Simplifying Expressions Using the Laws of Exponents

6.3. Simplifying Radical Expressions Using Properties of Radicals

6.4. Adding, Subtracting, and Multiplying Radical Expressions

6.5. Rationalizing Radical Expressions

Putting the Concepts Together (Sections 6.1–6.5)

6.6. Functions Involving Radicals

6.7. Radical Equations and Their Applications

6.8. The Complex Number System

Chapter 6 Activity: Which One Does Not Belong?

Chapter 6 Review

Chapter 6 Test

7. Quadratic Equations and Functions

7.1. Solving Quadratic Equations by Completing the Square

7.2. Solving Quadratic Equations by the Quadratic Formula

7.3. Solving Equations Quadratic in Form

Putting the Concepts Together (Sections 7.1–7.3)

7.4. Graphing Quadratic Functions Using Transformations

7.5. Graphing Quadratic Functions Using Properties

7.6. Polynomial Inequalities

Chapter 7 Activity: Presidential Decision Making

Chapter 7 Review

Chapter 7 Test

Cumulative Review Chapters R–7

8. Exponential and Logarithmic Functions

8.1. Composite Functions and Inverse Functions

8.2. Exponential Functions

8.3. Logarithmic Functions

Putting the Concepts Together (Sections 8.1–8.3)

8.4. Properties of Logarithms

8.5. Exponential and Logarithmic Equations

Chapter 8 Activity: Correct the Quiz

Chapter 8 Review

Chapter 8 Test

9. Conics

9.1. Distance and Midpoint Formulas

9.2. Circles

9.3. Parabolas

9.4. Ellipses

9.5. Hyperbolas

Putting the Concepts Together (Sections 9.1–9.5)

9.6. Systems of Nonlinear Equations

Chapter 9 Activity: How Do You Know That . . . ?

Chapter 9 Review

Chapter 9 Test

Cumulative Review: Chapters R–9

10. Sequences, Series, and the Binomial Theorem

10.1. Sequences

10.2. Arithmetic Sequences

10.3. Geometric Sequences and Series

Putting the Concepts Together (Sections 10.1–10.3)

10.4. The Binomial Theorem

Chapter 10 Activity: Discover the Relation

Chapter 10 Review

Chapter 10 Test

Answers to Selected Exercises

Applications Index

Subject Index

Photo Credits

Supplemental Materials

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