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| A Review of Basic Concepts and Skills | |
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| The Language, Notation, and Numbers of Mathematics | |
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| Algebraic Expressions and the Properties of Real Numbers | |
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| Exponents, Scientific Notation, and a Review of Polynomials | |
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| Factoring Polynomials | |
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| Rational Expressions | |
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| Radicals and Rational Exponents | |
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| Equations and Inequalities | |
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| Linear Equations, Formulas, and Problem Solving | |
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| Linear Inequalities in One Variable | |
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| Absolute Value Equations and Inequalities | |
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| Complex Numbers | |
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| Solving Quadratic Equations | |
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| Solving Other Types of Equations | |
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| Relations, Functions and Graphs | |
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| Rectangular Coordinates; Graphing Circles and Relations | |
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| Graphs of Linear Equations | |
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| Linear Equations and Rates of Change | |
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| Functions, Notation, and Graphs of Functions | |
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| Analyzing the Graph of a Function | |
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| Toolbox Functions and Transformations | |
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| Piecewise-Defined Functions | |
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| The Algebra and Composition of Functions | |
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| Polynomial and Rational Functions | |
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| Quadratic Functions and Applications | |
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| Synthetic Division; The Remainder and Factor Theorems | |
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| The Zeroes of Polynomial Functions | |
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| Graphing Polynomial Functions | |
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| Graphing Rational Functions | |
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| Additional Insights into Rational Functions | |
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| Polynomial and Rational Inequalities | |
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| Variation: Function Models in Action | |
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| Exponential and Logarithmic Functions | |
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| One-to-One and Inverse Functions | |
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| Exponential Functions | |
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| Logarithms and Logarithmic Functions | |
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| Properties of Logarithms; Solving Exponential and Logarithmic Equations | |
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| Applications from Business, Finance, and Science | |
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| Systems of Equations and Inequalities | |
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| Linear Systems in Two Variables with Applications | |
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| Linear Systems in Three Variables with Applications | |
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| Nonlinear Systems of Equations and Inequalities | |
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| Systems of Inequalities and Linear Programming | |
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| Appendices | |
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| More on Synthetic Division | |
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| More on Matrices | |
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| Deriving the Equation of a Conic | |
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| Proof Positive | |
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| A Selection of Proofs from | |