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The Set of Real Numbers | |

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Sets of Numbers and the Real Number Line | |

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Order of Operations | |

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Addition of Real Numbers | |

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Subtraction of Real Numbers -- Problem Recognition Exercises-Addition and Subtraction of Signed Numbers | |

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Multiplication and Division of Real Numbers | |

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Properties of Real Numbers and Simplifying Expressions | |

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Linear Equations and Inequalities | |

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Addition, Subtraction, Multiplication, and Division Properties of Equality | |

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Solving Linear Equations | |

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Linear Equations: Clearing Fractions and Decimals -- Problem Recognition Exercises-Equations and Expressions | |

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Applications of Linear Equations: Introduction to Problem Solving | |

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Applications Involving Percents | |

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Formulas and Applications of Geometry | |

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Mixture Applications and Uniform Motion | |

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Linear Inequalities | |

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Graphing Linear Equations in Two Variables | |

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Rectangular Coordinate System | |

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Linear Equations in Two Variables | |

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Slope of a Line | |

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Slope-Intercept Form of a Line -- Problem Recognition Exercises-Linear Equations in Two Variables | |

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Point-Slope Formula | |

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Applications of Linear Equations | |

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Introduction to Functions | |

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Systems of Linear Equations in Two Variables | |

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Solving Systems of Equations by the Graphing Method | |

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Solving Systems of Equations by the Substitution Method | |

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Solving Systems of Equations by the Addition Method -- Problem Recognition Exercises-Systems of Equations | |

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Applications of Linear Equations in Two Variables | |

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Linear Inequalities and Systems of Inequalities in Two Variables | |

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Polynomials and Properties of Exponents | |

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Exponents: Multiplying and Dividing Common Bases | |

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More Properties of Exponents | |

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Definitions of and | |

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Scientific Notation -- Problem Recognition Exercises-Properties of Exponents | |

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Addition and Subtraction of Polynomials | |

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Multiplication of Polynomials | |

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Division of Polynomials -- Problem Recognition Exercises-Operations on Polynomials | |

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Factoring Polynomials | |

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Greatest Common Factor and Factoring by Grouping | |

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Factoring Trinomials of the Form | |

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Factoring Trinomials: Trial-and-Error Method | |

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Factoring Trinomials: AC-Method | |

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Factoring Special Patterns | |

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Sum and Difference of Cubes -- Problem Recognition Exercises-General Factoring Strategy | |

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Solving Equations Using the Zero Product Rule -- Problem Recognition Exercises-Expressions and Polynomial Equations | |

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Applications of Quadratic Equations | |

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Rational Expressions | |

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Introduction to Rational Expressions | |

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Multiplication and Division of Rational Expressions | |

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Least Common Denominator | |

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Addition and Subtraction of Rational Expressions -- Problem Recognition Exercises-Operations on Rational Expressions | |

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Complex Fractions | |

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Rational Equations -- Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions | |

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Applications of Rational Equations and Proportions | |

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Variation | |

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Radicals | |

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Introduction to Roots and Radicals | |

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Simplifying Radicals | |

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Addition and Subtraction of Radicals | |

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Multiplication of Radicals | |

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Division of Radicals and Rationalization -- Problem Recognition Exercises-Operations on Radicals | |

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Radical Equations | |

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Rational Exponents | |

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More Quadratic Equations | |

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The Square Root Property | |

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Completing the Square | |

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Quadratic Formula -- Problem Recognition Exercises-Solving Quadratic Equations | |

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Graphing Quadratic Functions | |