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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 Table of Contents
Get Elementary Algebra: Graphs and Authentic Applications by Jay Lehmann, College of San Mateo
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