Intermediate Algebra with Applications & Visualization, 4th Edition

The Rockswold/Krieger algebra series uses relevant applications and visualization to show students why math matters and gives them a conceptual understanding. It answers the common question “When will I ever use this?” It covers the traditional topics, but rather than present them as concepts to memorize, with applications tacked on at the end, it teaches students the math in context. By seamlessly integrating meaningful applications that include real data, along with visuals—graphs, tables, charts, colors, and diagrams—students are able to see how math impacts their lives as they learn the concepts. This conceptual understanding makes them better prepared for future math courses and life.

1. Real Numbers and Algebra

1.1 Describing Data with Sets of Numbers

1.2 Operations on Real Numbers

1.3 Integer Exponents

1.4 Variables, Equations, and Formulas

1.5 Introduction to Graphing

Summary - Review Exercises - Test - Extended and Discovery Exercises

 

2. Linear Functions and Models

2.1 Functions and Their Representations

2.2 Linear Functions

2.3 The Slope of a Line

2.4 Equations of Lines and Linear Models

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-2 Cumulative Review Exercises

 

3. Linear Equations and Inequalities

3.1 Linear Equations

3.2 Introduction to Problem Solving

3.3 Linear Inequalities

3.4 Compound Inequalities

3.5 Absolute Value Equations and Inequalities

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-3 Cumulative Review Exercises

 

4. Systems of Linear Equations

4.1 Systems of Linear Equations in Two Variables

4.2 The Substitution and Elimination Methods

4.3 Systems of Linear Inequalities

4.4 Introduction to Linear Programming

4.5 Systems of Linear Equations in Three Variables

4.6 Matrix Solutions of Linear Systems

4.7 Determinants

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-4 Cumulative Review Exercises

 

5. Polynomial Expressions and Functions

5.1 Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Factoring Polynomials

5.4 Factoring Trinomials

5.5 Special Types of Factoring

5.6 Summary of Factoring

5.7 Polynomial Equations

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-5 Cumulative Review Exercises

 

6. Rational Expressions and Functions

6.1 Introduction to Rational Functions and Equations

6.2 Multiplication and Division of Rational Expressions

6.3 Addition and Subtraction of Rational Expressions

6.4 Rational Equations

6.5 Complex Fractions

6.6 Modeling with Proportions and Variation

6.7 Division of Polynomials

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-6 Cumulative Review Exercises

 

7. Radical Expressions and Functions

7.1 Radical Expressions and Functions

7.2 Rational Exponents

7.3 Simplifying Radical Expressions

7.4 Operations on Radical Expressions

7.5 More Radical Functions

7.6 Equations Involving Radical Expressions

7.7 Complex Numbers

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-7 Cumulative Review Exercises

 

8. Quadratic Functions and Equations

8.1 Quadratic Functions and Their Graphs

8.2 Parabolas and Modeling

8.3 Quadratic Equations

8.4 The Quadratic Formula

8.5 Quadratic Inequalities

8.6 Equations in Quadratic Form

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-8 Cumulative Review Exercises

 

9. Exponential and Logarithmic Functions

9.1 Composite and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

9.5 Exponential and Logarithmic Equations

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-9 Cumulative Review Exercises

 

10. Conic Sections

10.1 Parabolas and Circles

10.2 Ellipses and Hyperbolas

10.3 Nonlinear Systems of Equations and Inequalities

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-10 Cumulative Review Exercises

 

11. Sequences and Series

11.1 Sequences

11.2 Arithmetic and Geometric Sequences

11.3 Series

11.4 The Binomial Theorem

Summary - Review Exercises - Test - Extended and Discovery Exercises

Chapters 1-11 Cumulative Review Exercises

 

Appendix A: Using the Graphing Calculator

Appendix B: The Midpoint Formula

 

Bibliography

Answers to Selected Exercises

Photo Credits

Glossary

Index