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Fundamentals of Algebra | |
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Sets and Numerical Expressions | |
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Algebraic Expressions | |
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Equations and Inequalities in One Variable | |
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Scientific Notation and Unit Analysis | |
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Applications and Problem Solving | |
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Linear Equations in Two Variables | |
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Linear Inequalities in Two Variables | |
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Summary and Review | |
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Test | |
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Polynomials and Absolute Value | |
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Adding, Subtracting, and Multiplying Polynomial Expressions | |
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Factoring Polynomials | |
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Factoring Trinomials | |
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Polynomial Equations | |
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Absolute Value Equations | |
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Conjunctions, Disjunctions, and Absolute Value Inequalities | |
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Summary and Review | |
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Test | |
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Relations and Functions | |
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Relations and Functions | |
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Linear and Constant Functions | |
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Quadratic and Cubic Functions | |
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Polynomial Models | |
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Operations with Functions | |
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Absolute Value Functions | |
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Translation of Polynomial Functions | |
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Summary and Review | |
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Test | |
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Cumulative Review Chapters 1-3 | |
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System of Linear Equations | |
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Systems of Linear Equations | |
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Algebraic Methods | |
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Applications | |
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Systems of Linear Equations in Three Variables | |
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Matrix Methods | |
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Systems of Linear Inequalities | |
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Summary and Review | |
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Test | |
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Rational Expressions, Equations and Functions | |
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Simplifying, Multiplying, and Dividing Rational Expressions | |
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Adding and Subtracting Rational Expressions | |
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Rational Equations in One Variable | |
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Rational Functions | |
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Variation | |
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Division of Polynomials; Synthetic Division | |
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Rational Inequalities | |
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Summary and Review | |
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Test | |
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Radical Expressions, Equations and Functions | |
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Introduction to Radicals | |
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Adding, Subtracting, Multiplying and Simplifying Radical Expressions | |
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Dividing Radical Expressions and Conjugates | |
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Rational Exponents | |
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Radical Equations | |
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Radical Functions | |
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Summary and Review | |
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Test | |
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Cumulative Review Chapters 4-6 | |
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Quadratic Expressions, Equations and Functions | |
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Complex Numbers | |
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Solving Quadratic Equations | |
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Completing the Square | |
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Quadratic Formula | |
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Quadratic Functions | |
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Vertex Form of a Quadratic Function | |
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Quadratic Inequalities | |
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Summary and Review | |
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Test | |
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Exponential and Logarithmic Expressions, Equations and Functions | |
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Exponential Functions | |
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Logarithmic Functions | |
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Applications | |
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Exponential Equations | |
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Logarithmic Equations | |
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Summary and Review | |
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Test | |
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Conic Sections Systems of Non-Linear Equations | |
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Distance Formula, Midpoint Formula, and Circles | |
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Ellipses | |
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Parabolas | |
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Hyperbolas | |
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Systems of Non-Linear Equations in Two Variables | |
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Summary and Review | |
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Test | |
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Cumulative Review Chapters 7-9 | |
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Sequences, Series and the Binomial Theorem | |
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Sequences and Series | |
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Arithmetic Sequences | |
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Geometric Sequences | |
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The Binomial Theorem | |
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Summary and Review | |
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Test | |
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Solving Linear Equations in One Variable | |
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Solving Inequalities in One Variable | |
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Graphing Linear Equations | |
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Slope and Slope-Intercept Form | |
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Writing the Equation of a Line | |
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Reasonability and Problem Solving | |
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Determinants and Cramer's Rule | |
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Developing the Equations of Conic Sections | |