I. Numbers & Operations

  1. Positive, Negative, and Absolute Values
  2. Evaluating Numerical Inequities
  3. Operations Applied the Signed Numbers
  4. Operations Involving Zero
  5. Associative and Commutative Properties

II. Fractions

  1. Improper Fractions and Mixed Numbers
  2. The ‘Least’ Common denominator
  3. Operations Applied to Fractions
  4. Exponents
    1. Scientific Notation
    2. Powers Applied to Fractions
  5. Multiplying and Dividing Exponents
  6. Power of Powers
  7. Combining Root Expressions

III. Order of Operations

  1. Gathering and Grouping Expressions
  2. Combining Common Expressions

IV. Prime Factorization

  1. The Greatest Common Factor (GCF)
  2. Terms and Rules

V. Distribution

  1. Product of 2 Polynomials
    1. Special Case of Negative Exponents
  2. Identifying the GCF
  3. Grouping of Like Terms
  4. Decoupling Product of 2 Binomials
    1. FOILing
    2. The Signs of the Terms
    3. All Viable Products
  5. Synthetic Division
  6. The Quadratic Equation

VI. The Ground Rules for Soving Equations

  1. Know the Type of Equation
  2. Ensure the Equation is Balanced
    1. Addition and Multiplication applied to Both Sides
  3. Word Problems and Sensible Solutions
  4. Solving Linear Equations
    1. Equations that admit to Proportions
  5. Isolation and Elimination of Radicals
  6. The Zero Solution

VII. Inequalities

  1. Intervals of the Solution Space
  2. Balancing Inequalities
  3. Solution Space Given Fractional Inequalities
  4. Absolute Value Inequalities

VIII. Algebra in the Real World

  1. Geometric Problems
    1. Trajectories
  2. Financial Problems

IX. Graphin Algebraic Solutions

  1. Linear Equations
    1. Slopes and Intercepts
    2. Formulas for Parallel and Perpendicular Lines
  2. Circular Equations
  3. Parabolas