Advanced Algebra Units

  • Unit 0: Intermediate Algebra Review

    • 1.1 Complex Numbers

      • 1.1.1 Simplifying Complex Numbers
      • 1.1.2 Operations of Complex Numbers
    • 1.2 Quadratic Relationships

      • 1.2.1 Quadratic Equations with Complex Solutions
      • 1.2.2 Quadratic Expressions with Complex Factors
      • 1.2.3 Quadratic Structure Equations
    • 1.3 Cubic Relationships

      • 1.3.1 Sum/Difference of Two Cubes
      • 1.3.2 Solving Cubic Equations
    • 2.1 Graphing Polynomial Relationships

      • 2.1.1 Characteristics of Graphs of Polynomial Functions
      • 2.1.2 Multiplicities of Zeroes
    • 2.2 Solving Polynomial Relationships

      • 2.2.1 Division of Polynomials
      • 2.2.2 Remainder and Factor Theorem
      • 2.2.3 Finding Roots of Polynomials
      • 2.2.4 Writing Equations of Polynomials
    • 2.3 Systems of Equations

      • 2.3.1 Solving 3x3 Systems
      • 2.3.2 Solving Nonlinear Systems by Graphing
      • 2.3.3 Solving Nonlinear Systems Algebraically
      • 2.3.4 Applications of Systems
    • 3.1 Rational Expressions

    • 3.2 Rational Equations

    • 3.3 Rational Inequalities

    • 4.1 Properties of Exponents

    • 4.2 Simplifying with Real Number Exponents

    • 4.3 Converting Roots and Rational Exponents

    • 4.4 Solving Radical Equations

    • 5.1 Properties of Exponential and Logarithmic Functions

    • 5.2 Solving Exponential Equations

    • 5.3 Solving Logarithmic Equations

    • 6.1 Graphs of Functions

    • 6.2 Inverse Functions