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Full Description
INTERMEDIATE ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, 2nd Edition, shows you how to apply traditional mathematical skills in real-world situations. With an emphasis on skill building and applications, concepts are connected to the real world, helping you master the material and enhance your problem-solving skills. The authors have developed several techniques to make the concepts as vivid as possible for you. First, they integrated applications to show you why and how math applies to our lives. Second, the authors use "Concept Investigations" activities to explore patterns and relationships in the concepts studied. Third, they emphasize the tools needed for strong algebra skills with the Equation Solving Toolkit, Expression Simplifying Toolkit, Factoring Toolkit, and Modeling Toolkit. Fourth, the text underscores the importance of graphs and graphing by having you learn graphing by hand, while technology is used to display real-life data problems.
Contents
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.
