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Edition: 5TH 06

Copyright: 2006

Publisher: Prentice Hall, Inc.

Published: 2006

International: No

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Blitzer's mathematical rigor is combined with an engaging, friendly and often fun presentation for greater student appeal. Blitzer's exceptionally clear, accessible writing style combines the nuts and bolts students need with interesting and relevant examples.

**Chapter 1: Algebra, Mathematical Models, and Problem Solving**

1.1 Algebraic Expressions and Real Numbers

1.2 Operations with Real Numbers and Simplifying Algebraic Expressions

1.3 Graphing Equations

1.4 Solving Linear Equations

Mid-Chapter Check Point

1.5 Problem Solving and Using Formulas

1.6 Problems of Integral Exponents

1.7 Scientific Notation

Chapter 1 Group Project

Summary

Review Exercises

Chapter 1 Test

**Chapter 2: Functions and Linear Functions **

2.1 Introduction to Functions

2.2 The Algebra of Functions

Mid-Chapter Check Point

2.3 Linear Functions and Slope

2.4 The Point-Slope Form of the Equation of a Line

Chapter 2 Group Project

Summary

Review Exercises

Chapter 2 Test

Cumulative Review Exercises (Chapters 1-2)

**Chapter 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

3.4 Matrix Solutions to Linear Systems

3.5 Determinants and Cramer's Rule

Chapter 3 Group Project

Summary

Review Exercises

Chapter 3 Test

**Chapter 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

4.4 Linear Inequalities in Two Variables

4.5 Linear Programming

Chapter 4 Group Project

Summary

Review Exercises

Chapter 4 Test

Cumulative Review Exercises (Chapters 1-4)

**Chapter 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

5.5 Factoring Special Forms

5.6 A General Factoring Strategy

5.7 Polynomial Equations and Their Applications

Chapter 5 Group Project

Summary

Review Exercises

Chapter 5 Test

**Chapter 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

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

Summary

Review Exercises

Chapter 6 Test

Cumulative Review Exercises (Chapters 1-6)

**Chapter 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

7.5 Multiplying with More Than One Term and Rationalizing Denominators

7.6 Radical Equations

7.7 Complex Numbers

Chapter 7 Group Project

Summary

Review Exercises

Chapter 7 Test

**Chapter 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

8.4 Equations Quadratic in Form

8.5 Polynomial and Rational Inequalities

Chapter 8 Group Project

Summary

Review Exercises

Chapter 8 Test

Cumulative Review Exercises (Chapters 1-8)

**Chapter 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

9.5 Exponential and Logarithmic Equations

9.6 Exponential Growth and Decay; Modeling Data

Chapter 9 Group Project

Summary

Review Exercises

Chapter 9 Test

**Chapter 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

10.4 The Parabola; Identifying Conic Sections

10.5 Systems of Nonlinear Equations in Two Variables

Chapter 10 Group Project

Summary

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

11.3 Rational Functions and Their Graphs

Chapter 11 Group Project

Summary

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

12.4 The Binomial Theorem

12.5 Mathematical Induction

12.6 Counting Principles, Permutations, and Combinations

12.7 Probability

**Cumulative Review Exercises (Chapters 1-12)**

APPENDIX

Where Did That Come From? Selected Proofs

Answers to Selected Exercises

Graphing Answer Section

Application Index

Subject Index

Photo Credits

Summary

Blitzer's mathematical rigor is combined with an engaging, friendly and often fun presentation for greater student appeal. Blitzer's exceptionally clear, accessible writing style combines the nuts and bolts students need with interesting and relevant examples.

Table of Contents

**Chapter 1: Algebra, Mathematical Models, and Problem Solving**

1.1 Algebraic Expressions and Real Numbers

1.2 Operations with Real Numbers and Simplifying Algebraic Expressions

1.3 Graphing Equations

1.4 Solving Linear Equations

Mid-Chapter Check Point

1.5 Problem Solving and Using Formulas

1.6 Problems of Integral Exponents

1.7 Scientific Notation

Chapter 1 Group Project

Summary

Review Exercises

Chapter 1 Test

**Chapter 2: Functions and Linear Functions **

2.1 Introduction to Functions

2.2 The Algebra of Functions

Mid-Chapter Check Point

2.3 Linear Functions and Slope

2.4 The Point-Slope Form of the Equation of a Line

Chapter 2 Group Project

Summary

Review Exercises

Chapter 2 Test

Cumulative Review Exercises (Chapters 1-2)

**Chapter 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

3.4 Matrix Solutions to Linear Systems

3.5 Determinants and Cramer's Rule

Chapter 3 Group Project

Summary

Review Exercises

Chapter 3 Test

**Chapter 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

4.4 Linear Inequalities in Two Variables

4.5 Linear Programming

Chapter 4 Group Project

Summary

Review Exercises

Chapter 4 Test

Cumulative Review Exercises (Chapters 1-4)

**Chapter 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

5.5 Factoring Special Forms

5.6 A General Factoring Strategy

5.7 Polynomial Equations and Their Applications

Chapter 5 Group Project

Summary

Review Exercises

Chapter 5 Test

**Chapter 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

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

Summary

Review Exercises

Chapter 6 Test

Cumulative Review Exercises (Chapters 1-6)

**Chapter 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

7.5 Multiplying with More Than One Term and Rationalizing Denominators

7.6 Radical Equations

7.7 Complex Numbers

Chapter 7 Group Project

Summary

Review Exercises

Chapter 7 Test

**Chapter 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

8.4 Equations Quadratic in Form

8.5 Polynomial and Rational Inequalities

Chapter 8 Group Project

Summary

Review Exercises

Chapter 8 Test

Cumulative Review Exercises (Chapters 1-8)

**Chapter 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

9.5 Exponential and Logarithmic Equations

9.6 Exponential Growth and Decay; Modeling Data

Chapter 9 Group Project

Summary

Review Exercises

Chapter 9 Test

**Chapter 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

10.4 The Parabola; Identifying Conic Sections

10.5 Systems of Nonlinear Equations in Two Variables

Chapter 10 Group Project

Summary

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

11.3 Rational Functions and Their Graphs

Chapter 11 Group Project

Summary

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

12.4 The Binomial Theorem

12.5 Mathematical Induction

12.6 Counting Principles, Permutations, and Combinations

12.7 Probability

**Cumulative Review Exercises (Chapters 1-12)**

APPENDIX

Where Did That Come From? Selected Proofs

Answers to Selected Exercises

Graphing Answer Section

Application Index

Subject Index

Photo Credits

Publisher Info

Publisher: Prentice Hall, Inc.

Published: 2006

International: No

Published: 2006

International: No

**Chapter 1: Algebra, Mathematical Models, and Problem Solving**

1.1 Algebraic Expressions and Real Numbers

1.2 Operations with Real Numbers and Simplifying Algebraic Expressions

1.3 Graphing Equations

1.4 Solving Linear Equations

Mid-Chapter Check Point

1.5 Problem Solving and Using Formulas

1.6 Problems of Integral Exponents

1.7 Scientific Notation

Chapter 1 Group Project

Summary

Review Exercises

Chapter 1 Test

**Chapter 2: Functions and Linear Functions **

2.1 Introduction to Functions

2.2 The Algebra of Functions

Mid-Chapter Check Point

2.3 Linear Functions and Slope

2.4 The Point-Slope Form of the Equation of a Line

Chapter 2 Group Project

Summary

Review Exercises

Chapter 2 Test

Cumulative Review Exercises (Chapters 1-2)

**Chapter 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

3.4 Matrix Solutions to Linear Systems

3.5 Determinants and Cramer's Rule

Chapter 3 Group Project

Summary

Review Exercises

Chapter 3 Test

**Chapter 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

4.4 Linear Inequalities in Two Variables

4.5 Linear Programming

Chapter 4 Group Project

Summary

Review Exercises

Chapter 4 Test

Cumulative Review Exercises (Chapters 1-4)

**Chapter 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

5.5 Factoring Special Forms

5.6 A General Factoring Strategy

5.7 Polynomial Equations and Their Applications

Chapter 5 Group Project

Summary

Review Exercises

Chapter 5 Test

**Chapter 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

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

Summary

Review Exercises

Chapter 6 Test

Cumulative Review Exercises (Chapters 1-6)

**Chapter 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

7.5 Multiplying with More Than One Term and Rationalizing Denominators

7.6 Radical Equations

7.7 Complex Numbers

Chapter 7 Group Project

Summary

Review Exercises

Chapter 7 Test

**Chapter 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

8.4 Equations Quadratic in Form

8.5 Polynomial and Rational Inequalities

Chapter 8 Group Project

Summary

Review Exercises

Chapter 8 Test

Cumulative Review Exercises (Chapters 1-8)

**Chapter 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

9.5 Exponential and Logarithmic Equations

9.6 Exponential Growth and Decay; Modeling Data

Chapter 9 Group Project

Summary

Review Exercises

Chapter 9 Test

**Chapter 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

10.4 The Parabola; Identifying Conic Sections

10.5 Systems of Nonlinear Equations in Two Variables

Chapter 10 Group Project

Summary

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

11.3 Rational Functions and Their Graphs

Chapter 11 Group Project

Summary

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

12.4 The Binomial Theorem

12.5 Mathematical Induction

12.6 Counting Principles, Permutations, and Combinations

12.7 Probability

**Cumulative Review Exercises (Chapters 1-12)**

APPENDIX

Where Did That Come From? Selected Proofs

Answers to Selected Exercises

Graphing Answer Section

Application Index

Subject Index

Photo Credits