Introductory and Intermediate Algebra, 6th edition

1. Introduction to Real Numbers and Algebraic Expressions

1.1 Introduction to Algebra

1.2 The Real Numbers

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

            Mid-Chapter Review

1.5 Multiplication of Real Numbers

1.6 Division of Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions; Order of Operations

            Summary and Review

            Test

2. Solving Equations and Inequalities

2.1 Solving Equations: The Addition Principle

2.2 Solving Equations: The Multiplication Principle

2.3 Using the Principles Together

2.4 Formulas

            Mid-Chapter Review

2.5 Applications of Percent

2.6 Applications and Problem Solving

            Translating for Success

2.7 Solving Inequalities

2.8 Applications and Problem Solving with Inequalities

            Summary and Review

            Test

            Cumulative Review

3. Graphs of Linear Equations

3.1 Introduction to Graphing

3.2 Graphing Linear Equations

3.3 More with Graphing and Intercepts

            Visualizing for Success

            Mid-Chapter Review

3.4 Slope and Applications

            Summary and Review

            Test

            Cumulative Review

4. Polynomials: Operations

4.1 Integers as Exponents

4.2 Exponents and Scientific Notation

4.3 Introduction to Polynomials

4.4 Addition and Subtraction of Polynomials

4.5 Multiplication of Polynomials

4.6 Special Products

            Visualizing for Success

4.7 Operations with Polynomials in Several Variables

4.8 Division of Polynomials

            Summary and Review

            Test

            Cumulative Review

5. Polynomials: Factoring

5.1 Introduction to Factoring

5.2 Factoring Trinomials of the Type x² + bx + c

5.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method

5.4 Factoring ax2 + bx + c, a≠ 1: The ac-Method

            Mid-Chapter Review

5.5 Factoring Trinomial Squares and Differences of Squares

5.6 Factoring Sums or Differences of Cubes

5.7 Factoring: A General Strategy

5.8 Solving Quadratic Equations by Factoring

5.9 Applications of Quadratic Equations

            Translating for Success

            Summary and Review

            Test

            Cumulative Review

6. Rational Expressions and Equations

6.1 Multiplying and Simplifying Rational Expressions

6.2 Division and Reciprocals

6.3 Least Common Multiples and Denominators

6.4 Adding Rational Expressions

6.5 Subtracting Rational Expressions

            Mid-Chapter Review

6.6 Complex Rational Expressions

6.7 Solving Rational Equations

6.8 Applications Using Rational Equations and Proportions

            Translating for Success

6.9 Variation and Applications

            Summary and Review

            Test

            Cumulative Review

7. Graphs, Functions, and Applications

7.1 Functions and Graphs

7.2 Finding Domain and Range

            Mid-Chapter Review

7.3 Linear Functions: Graphs and Slope

7.4 More on Graphing Linear Equations

            Visualizing for Success

7.5 Finding Equations of Lines; Applications

            Summary and Review

            Test

            Cumulative Review

8. Systems of Equations

8.1 Systems of Equations in Two Variables

8.2 Solving by Substitution

8.3 Solving by Elimination

8.4 Solving Applied Problems: Two Equations

            Translating for Success

            Mid-Chapter Review

8.5 Systems of Equations in Three Variables

8.6 Solving Applied Problems: Three Equations

            Summary and Review

            Test

            Cumulative Review

9. More on Inequalities

9.1 Sets, Inequalities, and Interval Notation

            Translating for Success

9.2 Intersections, Unions, and Compound Inequalities

            Mid-Chapter Review

9.3 Absolute-Value Equations and Inequalities

9.4 Systems of Inequalities in Two Variables

            Visualizing for Success

            Summary and Review

            Test

            Cumulative Review

10. Radical Expressions, Equations, and Functions

10.1 Radical Expressions and Functions

10.2 Rational Numbers as Exponents

10.3 Simplifying Radical Expressions

10.4 Addition, Subtraction, and More Multiplication

            Mid-Chapter Review

10.5 More on Division of Radical Expressions

10.6 Solving Radical Equations

10.7 Applications Involving Powers and Roots

            Translating for Success

10.8 The Complex Numbers

            Summary and Review

            Test

            Cumulative Review

11. Quadratic Equations and Functions

11.1 The Basics of Solving Quadratic Equations

11.2 The Quadratic Formula

11.3 Applications Involving Quadratic Equations

            Translating for Success

11.4 More on Quadratic Equations

            Mid-Chapter Review

11.5 Graphing f(x) = a(x - h)² + k

11.6 Graphing f(x) = ax² + bx + c

            Visualizing for Success

11.7 Mathematical Modeling with Quadratic Functions

11.8 Polynomial Inequalities and Rational Inequalities

            Summary and Review

            Test

            Cumulative Review

12. Exponential Functions and Logarithmic Functions

12.1 Exponential Functions

12.2 Composite Functions and Inverse Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithmic Functions

            Mid-Chapter Review

12.5 Natural Logarithmic Functions

            Visualizing for Success

12.6 Solving Exponential Equations and Logarithmic Equations

12.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions

            Translating for Success

            Summary and Review

            Test

            Cumulative Review

Appendixes 

A Introductory Algebra Review

B Mean, Median, and Mode

C Synthetic Division 

D Determinants and Cramer's Rule

E Elimination Using Metrics

F The Algebra of Functions

G Distance, Midpoints, and Circles