Intermediate algebra : connecting concepts through applications /
Mark Clark, Cynthia Anfinson.
- 2nd edition.
- 1 volume (various pagings) : illustrations ; 28 cm
Four Toolboxes are included throughout the new edition: the Equation Solving Toolbox, the Factoring Toolbox, the Expression Simplifying Toolbox, and the Modeling Toolbox. These Toolboxes are integrated throughout the text with visual icons so that students receive just-in-time help connecting them to the solving techniques and tools used for different types of problems. Each Toolbox emphasizes how these fundamental tools are used throughout the course. A quick reference of all four Tooolboxes as well as the Geometric Formulas and Unit Conversions appears at the back of the text. The text highlights the importance of using these from the start of the course. Includes index.
1. LINEAR FUNCTIONS.Solving Linear Equations. Fundamentals of Graphing and Slope. Intercepts and Graphing. Finding Equations of Lines. Functions and Function Notation. Using Data to Create Scatterplots. Finding Linear Models.2. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Systems of Linear Equations. Solving Systems of Equations Using the Substitution Method. Solving Systems of Equations Using the Elimination Method. Solving Linear Inequalities. Absolute Value Equations and Inequalities. Solving Systems of Linear Inequalities. 3. EXPONENTS, POLYNOMIAL AND FUNCTIONS. Rules for Exponents. Combining Functions. Composing Functions. Factoring Polynomials. Special Factoring Techniques. 4. QUADRATIC FUNCTIONS.Quadratic Functions and Parabolas. Graphing Quadratic Function from Vertex Form. Finding Quadratic Models. Solving Quadratic Equations by Square Root Property and Completing the Square. Solving Equations by Factoring. Solving Quadratic Equations Using the Quadratic Formula. Graphing Quadratic Functions from Standard Form. 5. EXPONENTIAL FUNCTIONS.Exponential Functions: Patterns of Growth and Decay. Solving Equations Using Exponent Rules. Graphing Exponential Functions. Finding Exponential Models. Exponential Growth and Decay Rates and Compounding Interest. 6. LOGARITHMIC FUNCTIONS.Functions and Their Inverses. Logarithmic Functions. Graphing Logarithmic Functions. Properties of Logarithms. Solving Exponential Equations. Solving Logarithmic Equations. 7. RATIONAL FUNCTIONS. Rational Functions and Variation. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Solving Rational Equations. 8. RADICAL FUNCTIONS. Radical Functions. Graphing Radical Functions. Adding and Subtracting Radicals. Multiplying and Dividing Radicals. Solving Radical Equations. Complex Numbers. 9. CONICS SECTIONS.Parabolas and Circles. Ellipses and Hyperbolas. APPENDIX A.Basic Algebra Review. Review of Number Systems. Operations with Integers. Operations with Rationals. Review of Solving Linear Equations. Scientific Notation. Interval Notation.APPENDIX B. Matrices. Solving Systems of Three Equations. Introduction to Matrices. Matrix Row Reduction. Solving Systems with Matrices. Using Systems of Three Equations to Model Quadratics. APPENDIX C. Using the Graphing Calculator. Steps for Using the Graphing Calculator. Troubleshooting Error Messages. APPENDIX D. Answers to Odd-Numbered Exercises.APPENDIX E.Answers to the Example Practice Problems.
Intermediate Algebra: Connecting Concepts through Applications, 2nd edition, takes a conceptual and applications-driven approach to algebra, showing students how to apply traditional mathematical skills in real-world contexts. It also uses appropriate technology to help students master these algebraic concepts and skills.
College of Education Bachelor of Secondary Education major in Mathematics