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

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