Product Overview

Note: Each chapter is preceded by "Motivating the Chapter," includes a Mid-Chapter Quiz, and concludes with "What Did You Learn?" (Chapter Summary), Review Exercises, and a Chapter Test.
1. The Real Number System
1.1 Real Numbers: Order and Absolute Value
1.2 Adding and Subtracting Integers
1.3 Multiplying and Dividing Integers
1.4 Operations with Rational Numbers
1.5 Exponents, Order of Operations, and Properties of Real Numbers
2. Fundamentals of Algebra
2.1 Writing and Evaluating Algebraic Expressions
2.2 Simplifying Algebraic Expressions
2.3 Algebra and Problem Solving
2.4 Introduction to Equations
3. Equations, Inequalities, and Problem Solving
3.1 Solving Linear Equations
3.2 Equations That Reduce to Linear Form
3.3 Problem Solving with Percents
3.4 Ratios and Proportions
3.5 Geometric and Scientific Applications
3.6 Linear Inequalities
3.7 Absolute Value Equations and Inequalities
Cumulative Test: Chapters 1-3
4. Graphs and Functions
4.1 Ordered Pairs and Graphs
4.2 Graphs of Equations in Two Variables
4.3 Relations, Functions, and Graphs
4.4 Slope and Graphs of Linear Equations
4.5 Equations of Lines
4.6 Graphs of Linear Inequalities
5. Exponents and Polynomials
5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Multiplying Polynomials: Special Products
5.4 Dividing Polynomials and Synthetic Division
6. Factoring and Solving Equations
6.1 Factoring Polynomials with Common Factors
6.2 Factoring Trinomials
6.3 More About Factoring Trinomials
6.4 Factoring Polynomials with Special Forms
6.5 Solving Polynomial Equations by Factoring
Cumulative Test: Chapters 4-6
7. Rational Expressions, Equations, and Functions
7.1 Rational Expressions and Functions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions
7.4 Complex Fractions
7.5 Solving Rational Equations
7.6 Applications and Variation
8. Systems of Equations and Inequalities
8.1 Solving Systems of Equations by Graphing and Substitution
8.2 Solving Systems of Equations by Elimination
8.3 Linear Systems in Three Variables
8.4 Matrices and Linear Systems
8.5 Determinants and Linear Systems
8.6 Systems of Linear Inequalities
9. Radicals and Complex Numbers
9.1 Radicals and Rational Exponents
9.2 Simplifying Radical Expressions
9.3 Adding and Subtracting Radical Expressions
9.4 Mulitplying and Dividing Radical Expressions
9.5 Radical Equations and Applications
9.6 Complex Numbers
Cumulative Test: Chapters 7-9
10. Quadratic Equations, Functions, and Inequalities
10.1 Solving Quadratic Equations: Factoring and Special Forms
10.2 Completing the Square
10.3 The Quadratic Formula
10.4 Graphs of Quadratic Functions
10.5 Applications of Quadratic Equations
10.6 Quadratic and Rational Inequalities
11. Exponential and Logarithmic Functions
11.1 Exponential Functions
11.2 Composite and Inverse Functions
11.3 Logarithmic Functions
11.4 Properties of Logarithms
11.5 Solving Exponential and Logarithmic Equations
11.6 Applications
12. Conics
12.1 Circles and Parabolas
12.2 Ellipses
12.3 Hyperbolas
12.4 Solving Nonlinear Systems of Equations
Cumulative Test: Chapters 10-12
13. Sequences, Series, and the Binomial Theorem
13.1 Sequences and Series
13.2 Arithmetic Sequences
13.3 Geometric Sequences and Series
13.4 The Binomial Theorem
Appendix A. Review of Elementary Algebra Topics
A.1 The Real Number System
A.2 Fundamentals of Algebra
A.3 Equations, Inequalities, and Problem Solving
A.4 Graphs and Functions
A.5 Exponents and Polynomials
A.6 Factoring and Solving Equations
Appendix B. Introduction to Graphing Calculators
Appendix C. Further Concepts in Geometry (web)
C.1 Exploring Congruence and Similarity
C.2. Angles
Appendix D. Further Concepts in Statistics (web)
Appendix E. Introduction to Logic (web)
E.1 Statements and Truth Tables
E.2. Implications, Quantifiers, and Venn Diagrams
E.3. Logical Arguments
Appendix F. Counting Principles (web)
Appendix G. Probability (web)
Additional Answers
Technology Answers
Index of Applications
Index