Beginning Algebra with Applications & Visualization, 3rd 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. Introduction to Algebra

1.1 Numbers, Variables, and Expressions

1.2 Fractions

1.3 Exponents and Order of Operations

1.4 Real Numbers and the Number Line

1.5 Addition and Subtraction of Real Numbers

1.6 Multiplication and Division of Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying and Writing Algebraic Expressions

 

2. Linear Equations and Inequalities

2.1 Introduction to Equations

2.2 Linear Equations

2.3 Introduction to Problem Solving

2.4 Formulas

2.5 Linear Inequalities

 

3. Graphing Equations

3.1 Introduction to Graphing

3.2 Linear Equations in Two Variables

3.3 More Graphing of Lines

3.4 Slope and Rates of Change

3.5 Slope-Intercept Form

3.6 Point-Slope Form

3.7 Introduction to Modeling

 

4. Systems of Linear Equations In Two Variables

4.1 Solving Systems of Linear Equations Graphically and Numerically

4.2 Solving Systems of Linear Equations by Substitution

4.3 Solving Systems of Linear Equations by Elimination

4.4 Systems of Linear Inequalities

 

5. Polynomials and Exponents

5.1 Rules for Exponents

5.2 Addition and Subtraction of Polynomials

5.3 Multiplication of Polynomials

5.4 Special Products

5.5 Integer Exponents and the Quotient Rule

5.6 Division of Polynomials

 

6. Factoring Polynomials and Solving Equations

6.1 Introduction to Factoring

6.2 Factoring Trinomials I (x + bx + c)

6.3 Factoring Trinomials II (ax² + bx + c)

6.4 Special Types of Factoring

6.5 Summary of Factoring

6.6 Solving Equations by Factoring I (Quadratics)

6.7 Solving Equations by Factoring II (Higher Degree)

 

7. Rational Expressions

7.1 Introduction to Rational Expressions

7.2 Multiplication and Division of Rational Expressions

7.3 Addition and Subtraction with Like Denominators

7.4 Addition and Subtraction with Unlike Denominators

7.5 Complex Fractions

7.6 Rational Equations and Formulas

7.7 Proportions and Variation

 

8. Radical Expressions

8.1 Introduction to Radical Expressions

8.2 Multiplication and Division of Radical Expressions

8.3 Addition and Subtraction of Radical Expressions

8.4 Simplifying Radical Expressions

8.5 Equations Involving Radical Expressions

8.6 Higher Roots and Rational Exponents

 

9. Quadratic Equations

9.1 Parabolas

9.2 Introduction to Quadratic Equations

9.3 Solving by Completing the Square

9.4 The Quadratic Formula

9.5 Complex Solutions

9.6 Introduction to Functions

Appendix A: Using the Graphing Calculator

Appendix B: Sets

Answers to Selected Exercises

Glossary

Bibliography

Photo Credits

Index