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Introduction to Modeling | |
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Variables and Constants | |
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Scattergrams | |
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Exact Linear Relationships | |
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Approximate Linear Relationships | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 1 Review Exercises | |
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Chapter 1 Test | |
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Operations and Expressions | |
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Expressions | |
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Operations with Fractions | |
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Adding Real Numbers | |
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Change in a Quantity and Subtracting Real Numbers | |
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Ratios, Percents, and Multiplying and Dividing Real Numbers | |
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Exponents and Order of Operations | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 2 Review Exercises | |
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Chapter 2 Test | |
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Cumulative Review of Chapters 1 and | |
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Using the Slope to Graph Linear Equations | |
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Graphing Equations of the Form y = mx + b | |
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Graphing Linear Models; Unit Analysis | |
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Slope of a Line | |
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Using the Slope to Graph Linear Equations | |
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Rate of Change | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 3 Review Exercises | |
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Chapter 3 Test | |
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Simplifying Expressions and Solving Equations | |
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Commutative, Associative, and Distributive Laws | |
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Simplifying Expressions | |
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Solving Linear Equations in One Variable | |
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Solving More Linear Equations in One Variable | |
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Comparing Expressions and Equations | |
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Formulas | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 4 Review Exercises | |
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Chapter 4 Test | |
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Cumulative Review of Chapters 1 | |
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Linear Functions and Linear Inequalities in One Variable | |
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Graphing Linear Equations | |
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Functions | |
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Function Notation | |
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Finding Linear Equations | |
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Finding Equations of Linear Models | |
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Using Function Notation with Linear Models to Make Estimates and Predictions | |
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Solving Linear Inequalities in One Variable | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 5 Review Exercises | |
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Chapter 5 Test | |
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Systems of Linear Equations and Systems of Linear Inequalities | |
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Using Graphs and Tables to Solve Systems | |
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Using Substitution to Solve Systems | |
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Using Elimination to Solve Systems | |
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Using Systems to Model Data | |
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Perimeter, Value, Interest, and Mixture Problems | |
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Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 6 Review Exercises | |
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Chapter 6 Test | |
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Cumulative Review of Chapters 1 | |
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Polynomial Functions and Properties of Exponents | |
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Adding and Subtracting Polynomial Expressions and Functions | |
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Multiplying Polynomial Expressions and Functions | |
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Powers of Polynomials; Product of Binomial Conjugates | |
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Properties of Exponents | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 7 Review Exercises | |
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Chapter 7 Test | |
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Making Sure You're Ready for Intermediate Algebra: A Review of Chapters 1 | |
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Factoring Polynomials and Solving Polynomial Equations | |
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Factoring Trinomials of the Form x2+bx+c and Differences of Two Squares | |
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Factoring Out the GCF; Factoring by Grouping | |
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Factoring Trinomials of the Form ax2+bx+c | |
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Sums and Differences of Cubes; A Factoring Strategy | |
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Using Factoring to Solve Polynomial Equations | |
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Using Factoring to Make Predictions with Quadratic Models | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 8 Review Exercises | |
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Chapter 8 Test | |
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Making Sure You're Ready for Intermediate Algebra: A Review of Chapters 1 | |
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Quadratic Functions | |
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Graphing Quadratic Functions in Vertex Form | |
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Graphing Quadratic Functions in Standard Form | |
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Simplifying Radical Expressions | |
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Using the Square Root Property to Solve Quadratic Equations | |
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Solving Quadratic Equations by Completing the Square | |
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Using the Quadratic Formula to Solve Quadratic Equations | |
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Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions | |
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Finding Quadratic Models | |
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Modeling with Quadratic Functions | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 9 Review Exercises | |
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Chapter 9 Test | |
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Cumulative Review of Chapters 1 | |
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Exponential Functions | |
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Integer Exponents | |
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Rational Exponents | |
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Graphing Exponential Functions | |
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Finding Equations of Exponential Functions | |
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Modeling with Exponential Functions | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 10 Review Exercises | |
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Chapter 10 Test | |
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Logarithmic Functions | |
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Inverse Functions | |
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Logarithmic Functions | |
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Properties of Logarithms | |
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Using the Power Property with Exponential Models to Make Predictions | |
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More Properties of Logarithms | |
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Natural Logarithms | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 11 Review Exercises | |
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Chapter 11 Test | |
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Cumulative Review of Chapters 1 | |
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Rational Functions | |
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Finding the Domains of Rational Functions and Simplifying Rational Expressions | |
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Multiplying and Dividing Rational Expressions | |
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Adding and Subtracting Rational Expressions | |
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Simplifying Complex Rational Expressions | |
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Solving Rational Equations | |
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Modeling with Rational Functions | |
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Proportions; Similar Triangles | |
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Variation | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 12 Review Exercises | |
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Chapter 12 Test | |
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Radical Functions | |
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Simplifying Radical Expressions | |
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Adding, Subtracting, and Multiplying Radical Expressions | |
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Rationalizing Denominators and Simplifying Quotients of Radical Expressions | |
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Graphing and Combining Square Root Functions | |
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Solving Radical Equations | |
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Modeling with Square Root Functions | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 13 Review Exercises | |
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Chapter 13 Test | |
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Sequences and Series | |
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Arithmetic Sequences | |
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Geometric Sequences | |
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Arithmetic Series | |
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Geometric Series | |
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Taking It to the Lab | |
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Chapter Summary | |
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Key Points of Chapter | |
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Chapter 14 Review Exercises | |
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Chapter 14 Test | |
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Cumulative Review of Chapters 1 | |
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Additional Topics | |
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Absolute Value: Equations and Inequalities | |
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Performing Operations with Complex Numbers | |
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Pythagorean Theorem, Distance Formula, and Circles | |
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Ellipses and Hyperbolas | |
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Solving Nonlinear Systems of Equations | |
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Using a TI-83/84 Graphing Calculator | |