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| Algebraic and Problem Solving | |
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| Some Basics of Algebra | |
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| Operations and Properties of Real Numbers | |
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| Solving Equations | |
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| Introduction to Problem Solving | |
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| Formulas, Models, and Geometry | |
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| Properties of Exponents | |
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| Scientific Notation | |
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| Graphs, Functions, and Linear | |
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| Equations | |
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| Graphs | |
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| Functions | |
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| Linear Functions: Slope, Graphs, and Models | |
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| Another Look at Linear Graphs | |
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| Other Equations of Lines | |
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| The Algebra of Functions | |
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| Introduction to Graphing | |
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| Systems of Equations in Two Variables | |
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| Solving by Substitution or Elimination | |
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| Solving Applications: Systems of Two Equations | |
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| Systems of Equations in Three Variables | |
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| Solving Applications: Systems of Three Variables | |
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| Elimination Using Matrices | |
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| Determinants and Cramer's Rule | |
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| Business and Economics Applications | |
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| Inequalities and Problem Solving | |
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| Inequalities and Applications | |
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| Intersections, Unions, and Compound Inequalities | |
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| Absolute-Value Equations and Inequalities | |
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| Inequalities in Two Variables | |
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| Applications Using Linear Programming | |
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| Polynomials and Polynomial Functions | |
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| Introduction to Polynomials and Polynomial Functions | |
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| Multiplication of Polynomials | |
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| Common Factors and Factoring by Grouping | |
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| Factoring Trinomials | |
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| Factoring Perfect-Square Trinomials and Differences of Squares | |
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| Factoring Sums or Differences of Cubes | |
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| Factoring: A General Strategy | |
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| Applications of Polynomial Equations | |
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| Rational Expressions, Equations, and Functions | |
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| Rational Expressions and Functions: Multiplying and Dividing | |
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| Rational Expressions and Functions: Adding and Subtracting | |
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| Complex Rational Expressions | |
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| Rational Equations | |
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| Solving Applications Using Rational Equations | |
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| Division of Polynomials | |
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| Synthetic Division | |
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| Formulas, Applications, and Variation | |
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| Exponents and Radicals | |
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| Radical Expressions and Functions | |
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| Rational Numbers as Exponents | |
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| Multiplying Radical Expressions | |
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| Dividing Radical Expressions | |
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| Expressions Containing Several Radical Terms | |
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| Solving Radical Equations | |
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| The Distance and Midpoint Formulas and Other Applications | |
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| The Complex Numbers | |
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| Quadratic Functions and Equations | |
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| Quadratic Equations | |
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| The Quadratic Formula | |
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| Studying Solutions of Quadratic Equations | |
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| Applications Involving Quadratic Equations | |
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| Equations Reducible to Quadratic | |
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| Quadratic Functions and Their Graphs | |
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| More About Graphing Quadratic Functions | |
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| Problem Solving and Quadratic Functions | |
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| Polynomial and Rational Inequalities | |
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| Exponential and Logarithmic Functions | |
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| Composite and Inverse Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithmic Functions | |
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| Common and Natural Logarithms | |
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| Solving Exponential and Logarithmic Functions | |
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| Applications of Exponential and Logarithmic Functions | |
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| Conic Sections | |
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| Conic Sections: Parabolas and Circles | |
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| Conic Sections: Ellipses | |
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| Conic Sections: Hyperbolas | |
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| Nonlinear Systems of Equations | |
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| Sequences, Series, and the Binomial Theorem | |
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| Sequences and Series | |
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| Arithmetic Sequences and Series | |
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| Geometric Sequences and Series | |
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| The Binomial Theorem | |