Basic Ideas | |

Reading and Writing Numerals | |

Addition and Subtraction of Whole Numbers | |

Multiplication of Whole Numbers | |

Division of Whole Numbers | |

A Brief Introduction to Fractions | |

Addition and Subtraction of Decimal Numerals | |

Multiplication and Division of Decimal Numerals | |

Addition and Subtraction of Integers and Polynomials | |

Variables, Exponents and Order of Operations | |

Unit Conversions and Perimeters of Geometric Figures | |

Areas of Geometric Figures | |

Volumes and Surface Area of Geometric Figures | |

Introduction to Integers | |

Addition of Integers | |

Subtraction of Integers and Combining Like Terms | |

Polynomial Definitions and Combining Polynomials | |

Laws of Exponents, Products and Quotients of Polynomials | |

Multiplication of Integers | |

Multiplication Laws of Exponents | |

Products of Polynomials | |

Special Products | |

Division of and Order of Operations with Integers | |

Quotient Rule and Integer Exponents | |

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

Division of Polynomials by Monomials | |

An Application of Exponents: Scientific Notation | |

Linear Equations and Inequalities | |

Addition Property of Equality | |

Multiplication Property of Equality | |

Combining Properties in Solving Linear Equations | |

Using and Solving Formulas | |

Solving Linear Inequalities | |

Traditional Applications Problems | |

More Traditional Applications Problems | |

Geometric Applications Problems | |

Using and Solving Formulas | |

Graphing Linear Equations and Inequalities | |

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

Graphing Linear Equations with Two Variables | |

Graphing Linear Equations using Intercepts | |

Slope - Intercept Form of a Line | |

Point - Slope Form of a Line | |

Graphing Linear Inequalities with Two Variables | |

Relations and Functions | |

Systems of Linear Equations | |

Defining Linear Systems and Solving by Graphing | |

Solving Linear Systems of Equations Using Elimination by Addition | |

Solving Systems of Linear Equations Using Substitution | |

Applications Using Systems of Linear Equations | |

Systems of Linear Inequalities | |

Factors, Divisors, and Factoring | |

Introduction | |

Prime Factorization and Greatest Common Factor | |

Factoring Polynomials with Common Factors and by Grouping | |

Factoring General Trinomials with Leading Coefficient of One | |

Factoring General Trinomials with First Coefficient Other Than One | |

Factoring Binomials | |

Factoring Perfect Square Trinomials | |

Mixed Factoring | |

Solving Quadratic Equations by Factoring | |

Multiplication and Division of Rational Numbers and Expressions | |

Fractions and Rational Numbers | |

Reducing Rational Numbers and Rational Expressions | |

Further Reduction of Rational Expressions | |

Multiplication of Rational Numbers and Expressions | |

Further Multiplication of Rational Expressions | |

Division of Rational Numbers and Expressions | |

Division of Polynomials (Long Division) | |

Addition and Subtraction of Rational Numbers and Expressions | |

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

Least Common Multiple and Equivalent Rational Expressions | |

The Least Common Denominator of Fractions and Rational Expressions | |

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

Complex Fractions | |

Solving Equations Containing Rational Numbers and Expressions | |

Rates, Percents, and Applications Ratios and Rates | |

Proportions Percent Applications of Percent | |

Further Applications of Percent | |

Roots and Radicals | |

Defining and Finding Roots | |

Simplifying Radicals | |

Products and Quotients of Radicals | |

Addition, Subtraction, and Mixed Operations with Radicals | |

Rationalizing the Denominator | |

Solving Equations with Radicals | |

Pythagorean Theorem | |

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