Note: Each chapter ends with a Study Summary, Review Exercises, and a Chapter Test. A Cumulative Review is provided after Chapters 3, 6, 9, and 11.
Chapter 1 Algebra and Problem Solving
Some Basics of Algebra
Operations and Properties of Real Numbers
Solving Equations
Connecting the Concepts
Introduction to Problem Solving
Formulas, Models, and Geometry
Properties of Exponents
Scientific NotationChapter 2 Graphs, Functions, and Linear Equations
Graphs
Functions
Linear Functions: Slope, Graphs, and Models
Another Look at Linear Graphs
Other Equations of Lines
Connecting the Concepts
The Algebra of FunctionsChapter 3 Systems of Equations and Problem Solving
Systems of Equations in Two Variables
Solving by Substitution or Elimination
Connecting the Concepts
Solving Applications: Systems of Two Equations
Systems of Equations in Three Variables
Connecting the Concepts
Solving Applications: Systems of Three Equations
Elimination Using Matrices
Determinants and Cramer’s Rule
Business and Economics ApplicationsChapter 4 Inequalities and Problem Solving
Inequalities and Applications
Intersections, Unions, and Compound Inequalities
Absolute-Value Equations and Inequalities
Inequalities in Two Variables
Connecting the Concepts
Applications Using Linear ProgrammingChapter 5 Polynomials and Polynomial Functions
Introduction to Polynomials and Polynomial Functions
Connecting the Concepts
Multiplication of Polynomials
Common Factors and Factoring by Grouping
Connecting the Concepts
Factoring Trinomials
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring Sums or Differences of Cubes
Factoring: A General Strategy
Applications of Polynomial Equations
Chapter 6 Rational Expressions, Equations, and Functions
Rational Expressions and Functions: Multiplying and Dividing
Rational Expressions and Functions: Adding and Subtracting
Complex Rational Expressions
Rational Equations
Solving Applications Using Rational Equations
Division of Polynomials
Formulas, Applications, and VariationChapter 7 Exponents and Radicals
Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Dividing Radical Expressions
Expressions Containing Several Radical Terms
Solving Radical Equations
Connecting the Concepts
Geometric Applications
The Complex Numbers
Chapter 8 Quadratic Functions and Equations
Quadratic Equations
The Quadratic Formula
Applications Involving Quadratic Equations
Studying Solutions of Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions and Their Graphs
Connecting the Concepts
More About Graphing Quadratic Functions
Problem Solving and Quadratic Functions
Polynomial and Rational InequalitiesChapter 9 Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Connecting the Concepts
Logarithmic Functions
Properties of Logarithmic Functions
Common and Natural Logarithms
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic FunctionsChapter 10 Conic Sections
Conic Sections: Parabolas and Circles
Conic Sections: Ellipses
Conic Sections: Hyperbolas
Connecting the Concepts
Nonlinear Systems of Equations Chapter 11 Sequences, Series, and the Binomial Theorem
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Connecting the Concepts
Appendix: The Graphing Calculator
Answers
Glossary
Index
Index of Applications