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Introduction to Algebra | |
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Numbers, Variables, and Expressions | |
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Fractions | |
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Exponents and Order of Operations | |
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Real Numbers and the Number Line | |
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Addition and Subtraction of Real Numbers | |
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Multiplication and Division of Real Numbers | |
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Properties of Real Numbers | |
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Simplifying and Writing Algebraic Expressions | |
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Linear Equations and inequalities | |
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Introduction to Equations | |
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Linear Equations | |
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Introduction to Problem Solving | |
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Formulas | |
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Linear inequalities | |
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Chapters 1-2 Cumulative Review | |
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Graphing Equations | |
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Introduction to Graphing | |
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Linear Equations in Two Variables | |
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More Graphing of Lines | |
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Slope and Rates of Change | |
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Slope-intercept Form | |
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Point-Slope Form | |
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Introduction to Modeling | |
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Chapters 1-3 Cumulative Review | |
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Systems of Linear Equations in Two Variables | |
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Solving Systems of Linear Equations Graphically and Numerically | |
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Solving Systems of Linear Equations by Substitution | |
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Solving Systems of Linear Equations by Elimination | |
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Systems of Linear inequalities | |
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Chapters 1-4 Cumulative Review | |
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Polynomials and Exponents | |
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Rules for Exponents | |
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Addition and Subtraction of Polynomials | |
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Multiplication of Polynomials | |
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Special Products | |
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Integer Exponents and the Quotient Rule | |
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Division of Polynomials | |
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Chapters 1-5 Cumulative Review | |
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Factoring Polynomials and Solving Equations | |
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Introduction to Factoring | |
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Factoring Trinomials I (x2 + bx + c) | |
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Factoring Trinomials II (ax2 + bx + c) | |
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Special Types of Factoring | |
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Summary of Factoring | |
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Solving Equations by Factoring I (Quadratics) | |
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Solving Equations by Factoring II (Higher Degree) | |
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Chapters 1-6 Cumulative Review Exercises | |
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Introduction to Rational Expressions | |
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Introduction to Rational Expressions | |
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Multiplication and Division of Rational Expressions | |
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Addition and Subtraction with Like Denominators | |
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Addition and Subtraction with Unlike Denominators | |
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Complex Fractions | |
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Rational Equations and Formulas | |
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Proportions and Variation | |
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Chapters 1-7 Cumulative Review | |
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Linear Functions and Models | |
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Functions and Their Representations | |
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Linear Functions | |
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Compound inequalities | |
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Other Functions and Their Properties | |
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Absolute Value Equations and inequalities | |
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Chapters 1-8 Cumulative Review | |
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Matrices and Systems of Linear Equations | |
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Systems of Linear Equations in Three Variables | |
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Matrix Solutions of Linear Systems | |
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Determinants Chapters 1-9 Cumulative Review Exercises | |
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Radical Expressions and Functions | |
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Radical Expressions and Rational Exponents | |
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Simplifying Radical Expressions | |
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Operations on Radical Expressions | |
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Radical Functions | |
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Equations involving Radical Expressions | |
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Complex Numbers | |
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Chapters 1-10 Cumulative Review | |
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Quadratic Functions and Equations | |
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Quadratic Functions and Their Graphs | |
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Parabolas and Modeling | |
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Quadratic Equations | |
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The Quadratic Formula | |
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Quadratic inequalities | |
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Equations in Quadratic Form | |
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Chapters 1-11 Cumulative Review | |
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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 Logarithms | |
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Exponential and Logarithmic Equations | |
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Chapters 1-12 Cumulat<$$$> | |