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Basic Ideas | |

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Reading and Writing Numerals | |

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Addition and Subtraction of Whole Numbers | |

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Multiplication of Whole Numbers | |

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Division of Whole Numbers | |

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A Brief Introduction to Fractions | |

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Addition and Subtraction of Decimal Numerals | |

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Multiplication and Division of Decimal Numerals | |

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Addition and Subtraction of Integers and Polynomials | |

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Variables, Exponents and Order of Operations | |

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Unit Conversions and Perimeters of Geometric Figures | |

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Areas of Geometric Figures | |

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Volumes and Surface Area of Geometric Figures | |

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Introduction to Integers | |

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Addition of Integers | |

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Subtraction of Integers and Combining Like Terms | |

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Polynomial Definitions and Combining Polynomials | |

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Laws of Exponents, Products and Quotients of Polynomials | |

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Multiplication of Integers | |

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Multiplication Laws of Exponents | |

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Products of Polynomials | |

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Special Products | |

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Division of and Order of Operations with Integers | |

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Quotient Rule and Integer Exponents | |

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Power Rule for Quotients and Using Combined Laws of Exponents | |

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Division of Polynomials by Monomials | |

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An Application of Exponents: Scientific Notation | |

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Linear Equations and Inequalities | |

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Addition Property of Equality | |

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Multiplication Property of Equality | |

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Combining Properties in Solving Linear Equations | |

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Using and Solving Formulas | |

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Solving Linear Inequalities | |

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Traditional Applications Problems | |

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More Traditional Applications Problems | |

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Geometric Applications Problems | |

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Using and Solving Formulas | |

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Graphing Linear Equations and Inequalities | |

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Ordered Pairs and Solutions of Linear Equations with Two Variables | |

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Graphing Linear Equations with Two Variables | |

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Graphing Linear Equations using Intercepts | |

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Slope - Intercept Form of a Line | |

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Point - Slope Form of a Line | |

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Graphing Linear Inequalities with Two Variables | |

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Relations and Functions | |

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Systems of Linear Equations | |

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Defining Linear Systems and Solving by Graphing | |

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Solving Linear Systems of Equations Using Elimination by Addition | |

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Solving Systems of Linear Equations Using Substitution | |

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Applications Using Systems of Linear Equations | |

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Systems of Linear Inequalities | |

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Factors, Divisors, and Factoring | |

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Introduction | |

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Prime Factorization and Greatest Common Factor | |

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Factoring Polynomials with Common Factors and by Grouping | |

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Factoring General Trinomials with Leading Coefficient of One | |

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Factoring General Trinomials with First Coefficient Other Than One | |

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Factoring Binomials | |

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Factoring Perfect Square Trinomials | |

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Mixed Factoring | |

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Solving Quadratic Equations by Factoring | |

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Multiplication and Division of Rational Numbers and Expressions | |

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Fractions and Rational Numbers | |

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Reducing Rational Numbers and Rational Expressions | |

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Further Reduction of Rational Expressions | |

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Multiplication of Rational Numbers and Expressions | |

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Further Multiplication of Rational Expressions | |

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Division of Rational Numbers and Expressions | |

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Division of Polynomials (Long Division) | |

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Addition and Subtraction of Rational Numbers and Expressions | |

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Addition and Subtraction of Rational Numbers and Expressions with Like Denominators | |

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Least Common Multiple and Equivalent Rational Expressions | |

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The Least Common Denominator of Fractions and Rational Expressions | |

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Addition and Subtraction of Rational Numbers and Expressions with Unlike Denominators | |

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Complex Fractions | |

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Solving Equations Containing Rational Numbers and Expressions | |

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Rates, Percents, and Applications Ratios and Rates | |

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Proportions Percent Applications of Percent | |

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Further Applications of Percent | |

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Roots and Radicals | |

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Defining and Finding Roots | |

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Simplifying Radicals | |

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Products and Quotients of Radicals | |

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Addition, Subtraction, and Mixed Operations with Radicals | |

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Rationalizing the Denominator | |

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Solving Equations with Radicals | |

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Pythagorean Theorem | |