## Description

**Bob Blitzer has inspired thousands of students**with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students’ lives, showing that their world is profoundly mathematical.

## Table of Contents

**P. Prerequisites: Fundamental Concepts of Algebra**

P.1 Algebraic Expressions, Mathematical Models, and Real Numbers

P.2 Exponents and Scientific Notation

P.3 Radicals and Rational Exponents

P.4 Polynomials

Mid-Chapter Check Point

P.5 Factoring Polynomials

P.6 Rational Expressions

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER P TEST

**1. Equations and Inequalities**

1.1 Graphs and Graphing Utilities

1.2 Linear Equations and Rational Equations

1.3 Models and Applications

1.4 Complex Numbers

1.5 Quadratic Equations

Mid-Chapter Check Point

1.6 Other Types of Equations

1.7 Linear Inequalities and Absolute Value Inequalities

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 1 TEST

**2. Functions and Graphs**

2.1 Basics of Functions and Their Graphs

2.2 More on Functions and Their Graphs

2.3 Linear Functions and Slope

2.4 More on Slope

Mid-Chapter Check Point

2.5 Transformations of Functions

2.6 Combinations of Functions; Composite Functions

2.7 Inverse Functions

2.8 Distance and Midpoint Formulas; Circles

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 2 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-2)

**3. Polynomial and Rational Functions**

3.1 Quadratic Functions

3.2 Polynomial Functions and Their Graphs

3.3 Dividing Polynomials; Remainder and Factor Theorems

3.4 Zeros of Polynomial Functions

Mid-Chapter Check Point

3.5 Rational Functions and Their Graphs

3.6 Polynomial and Rational Inequalities

3.7 Modeling Using Variation

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 3 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-3) 410

**4. Exponential and Logarithmic Functions**

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Properties of Logarithms

Mid-Chapter Check Point

4.4 Exponential and Logarithmic Equations

4.5 Exponential Growth and Decay; Modeling Data

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 4 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-4)

**5. Systems of Equations and Inequalities**

5.1 Systems of Linear Equations in Two Variables

5.2 Systems of Linear Equations in Three Variables

5.3 Partial Fractions

5.4 Systems of Nonlinear Equations in Two Variables

Mid-Chapter Check Point

5.5 Systems of Inequalities

5.6 Linear Programming

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 5 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-5)

**6. Matrices and Determinants**

6.1 Matrix Solutions to Linear Systems

6.2 Inconsistent and Dependent Systems and Their Applications

6.3 Matrix Operations and Their Applications

Mid-Chapter Check Point

6.4 Multiplicative Inverses of Matrices and Matrix Equations

6.5 Determinants and Cramer's Rule

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 6 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-6)

**7. Conic Sections**

7.1 The Ellipse

7.2 The Hyperbola

Mid-Chapter Check Point

7.3 The Parabola

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 7 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-7)

**8. Sequences, Induction, and Probability**

8.1 Sequences and Summation Notation

8.2 Arithmetic Sequences

8.3 Geometric Sequences and Series

Mid-Chapter Check Point

8.4 Mathematical Induction

8.5 The Binomial Theorem

8.6 Counting Principles, Permutations, and Combinations

8.7 Probability

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 8 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-8)

Appendix: Where Did That Come From? Selected Proofs

Answers to Selected Exercises

Subject Index

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