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Home > Mathematics and Science Textbooks > Mathematics > Algebra > Elementary Algebra: Graphs and Authentic Applications
Elementary Algebra: Graphs and Authentic Applications

Elementary Algebra: Graphs and Authentic Applications


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About the Book

Jay Lehmann is passionate about answering the question so many math instructors hear their students ask:  But what is this good for?  He discovered that a curve fitting approach could enable students to see how math is used in all walks of life with current, compelling, and authentic situations.  In addition to curve fitting, Lehmann's approach includes other types of meaningful modeling, directed-discovery explorations, conceptual questions, labs, and of course, a large bank of skill problems.  The curve fitting applications serve as a portal for students to see the usefulness of mathematics so that they become fully engaged in the class. Once involved, they are more receptive to all aspects of the course.

Table of Contents:
Note: Each chapter concludes with Chapter Summary, Key Points of the Chapter, Chapter Review Exercises, and Chapter Practice Tests.    Chapter 1:  Introduction to Modeling 1.1 Variables and Constants 1.2 Scattergrams 1.3 Exact Linear Relationships 1.4 Approximate Linear Relationships   Chapter 2:  Operations and Expressions 2.1 Expressions 2.2  Operations with Fractions 2.3 Adding Real Numbers 2.4 Change in a Quantity and Subtracting Real Numbers 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers 2.6 Exponents and Order of Operations   Chapter 3:  Using Slope to Graph Linear Equations 3.1 Graphing Equations of the Form y = mx + b 3.2  Graphing Linear Models; Unit Analysis 3.3 Slope of a Line 3.4 Using Slope to Graph Lines 3.5 Rate of Change   Chapter 4:  Simplifying Expressions and Solving Equations 4.1 Commutative, Associative, and Distributive Laws 4.2 Simplifying Expressions 4.3 Solving Linear Equations in One Variable 4.4 solving More Linear Equations in One Variable 4.5 comparing Expressions and Equations 4.6 Formulas   Chapter 5:  Linear Equations in Two Variables 5.1 Graphing Linear Equations 5.2 Finding Linear Equations 5.3  Finding Equations of Linear Models 5.4 using Linear Equations to make Estimates and Predications 5.5  Solving Linear Inequalities in One Variable   Chapter 6:  Systems of Linear Equations 6.1 Using Graphs and Tables to Solve Systems 6.2 Using Substitution to Solve Systems 6.3 Using Elimination to Solve Systems 6.4 Using Systems to Model Data 6.5 Perimeter, Value, Interest, and Mixture Problems 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in 2 Variables   Chapter 7:  Polynomials 7.1 Graphing Quadratic Equations 7.2 Quadratic Models 7.3 Adding and Subtracting Polynomials 7.4 Multiplying Polynomials 7.5 Powers of Polynomials; Product of Binomial Conjugates 7.6 Properties of Exponents 7.7 Negative Exponents   Chapter 8:  Factoring Polynomials and Solving Polynomial Equations 8.1 Factoring Trinomials of the Form x² + bx + c and Differences of Two Squares 8.2 Factoring Out the GCF; Factoring by Grouping 8.3 Factoring Trinomials of the Form ax² + bx + c 8.4 Sums and Differences of Cubes; A Factoring Strategy 8.5 Solving Polynomial Equations 8.6 Using Factoring to Make Predications with Quadratic Models   Chapter 9:  Solving Quadratic Equations 9.1 Simplifying Radical Expressions 9.2 Simplifying More Radical Expressions 9.3 Solving Quadratic Equations by the Square Root Property; Pythagorean Theorem 9.4 Solving Quadratic Equations by Completing the Square 9.5 Solving Quadratic Equations by the Quadratic Formula 9.6 More Quadratic Models   Chapter 10:  Rational Expressions and Equations 10.1 Simplifying Rational Expressions 10.2 Multiplying and Dividing Rational Expressions 10.3 Adding Rational Expressions 10.4 Subtracting Rational Expressions 10.5 Solving Radical Equations 10.6 Proportions; Similar Triangles 10.7 Variation 10.8 Simplifying Complex Rational Expressions   Chapter 11:  More Radical Expressions and Equations 11.1 Adding and Subtracting Radical Expressions 11.2 Multiplying Radical Expressions 11.3 Solving Square Root Equations   Appendix A:  Using a TI-83 or TI-84 Graphing Calculator A.1 Turing a Graphing Calculator On or Off A.2 making the Screen Lighter or Darker A.3 Entering an Equation A.4 Graphing an Equation A.5 Tracing A Curve with out a Scattergram A.6 Zooming A.7 Setting the Window Format A.8 Plotting Points in a Scattergram A.9 Tracing A Scattergram A.10 Graphing Equations with a Scattergram A.11 Tracing a Curve with a Scattergram A.12 Turning a Plotter on or off A.13 Creating a Table A.14 Creating a Table for Two Equations A.15 Using “Ask” in a Table A.16 Plotting Points on Two Scatter Grams A.17 Finding the Intersection Point(s) of Two Curves A.18 Finding the Minimum or Maximum of a Curve A.19 Finding any x-Intercepts of a Curve A.20 Turing an Equation On or Off A.21 Finding Coordinates of Points A.22 Entering an Equation by Using Yn References A.23 Responding to Error Messages   Answers to Odd-Numbered Exercises


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Product Details
  • ISBN-13: 9780132201643
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 276 mm
  • No of Pages: 672
  • Width: 210 mm
  • ISBN-10: 013220164X
  • Publisher Date: 28 Feb 2007
  • Binding: Hardback
  • Language: English
  • Sub Title: Graphs and Authentic Applications


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