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| Review | |
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| Real Numbers | |
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| Algebra Essentials | |
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| Geometry Essentials | |
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| Polynomials | |
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| Factoring Polynomials | |
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| Synthetic Division | |
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| Rational Expressions | |
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| nth Roots; Rational Exponents Chapter Review Chapter Test | |
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| Equations and Inequalities | |
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| Linear Equations | |
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| Quadratic Equations | |
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| Complex Numbers; Quadratic Equations in the Complex Number System | |
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| Radical Equations; Equations Quadratic in Form; Factorable Equations | |
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| Solving Inequalities | |
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| Equations and Inequalities Involving Absolute Value | |
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| Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs Applications Chapter Review Chapter Test Chapter Projects | |
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| Graphs | |
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| The Distance and Midpoint Formulas | |
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| Graphs of Equations; Intercepts; Symmetry | |
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| Lines | |
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| Circles | |
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| Variation Chapter Review Chapter Test Cumulative Review Chapter Projects | |
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| Functions and Their Graphs | |
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| Functions | |
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| The Graph of a Function | |
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| Properties of Functions | |
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| Library of Functions; Piecewise-defined Functions | |
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| Graphing Techniques: Transformations | |
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| Mathematical Models: Building Functions Chapter Review Chapter Test Cumulative Review Chapter Projects | |
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| Linear and Quadratic Functions | |
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| Linear Functions and Their Properties | |
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| Building Linear Functions from Data | |
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| Quadratic Functions and Their Properties | |
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| Quadratic Models; Building Quadratic Functions From Data | |
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| Inequalities Involving Quadratic Functions Chapter Review Chapter Test Cumulative Review Chapter Projects | |
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| Polynomial and Rational Functions | |
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| Polynomial Functions and Models | |
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| Properties of Rational Functions | |
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| The Graph of a Rational Function | |
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| Polynomial and Rational Inequalities | |
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| The Real Zeros of a Polynomial Function | |
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| Complex Zeros: Fundamental Theorem of Algebra Chapter Review Chapter Test Cumulative Review Chapter Projects | |
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| Exponential and Logarithmic Functions | |
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| Composite Functions | |
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| One-to-One Functions; Inverse Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Logarithmic and Exponential Equations | |
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| Compound Interest | |
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| Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models | |
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| Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Project | |
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| Trigonometric Functions | |
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| Angles and Their Measure | |
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| Right Triangle Trigonometry | |
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| Computing the Values of Trigonometric Functions of Acute Angles | |
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| Trigonometric Functions of General Angles | |
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| Unit Circle Approach: Properties of the Trigonometric Functions | |
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| Graphs of the Sine and Cosine Functions | |
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| Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | |
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| Phase Shift; Building Sinusoidal Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects | |
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| Analytic Trigonometry | |
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| The Inverse Sine, Cosine, and Tangent Functions | |
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| The Inverse Trigonometric Functions (continued) | |
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| Trigonometric Identities | |
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| Sum and Difference Formulas < | |