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Northwest Missouri State University

Topic List By Modules

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Module 1: Real Numbers

  • The Commutative, Associative, and Distributive Laws
  • Fraction Notation
  • Positive and Negative Real Numbers
  • Addition of Real Numbers
  • Subtraction of Real Numbers
  • Multiplication and Division of Real Numbers
  • Exponential Notation and Order of Operations
  • Applications with Percent

Module 2: Solving Linear Equations and Graphing Linear Equations

  • Introduction to Algebra
  • Solving Equations
  • Using the Addition and Multiplication Principles Together
  • Formulas
  • Reading Graphs, Plotting Points, and Scaling Graphs
  • Graphing Linear Equations
  • Graphing and Intercepts
  • Rates of Change
  • Slope
  • Slope-Intercept Form
  • Point-Slope Form

Module 3: Solving Linear Inequalities and Graphing Linear Inequalities

  • Solving Inequalities
  • Solving Applications with Inequalities
  • Inequalities an Domain
  • Intersections, Unions, and Compound Inequalities
  • Absolute-Value Equations and Inequalities

Module 4: Polynomials

  • Exponents and Their Properties
  • Negative Exponents and Scientific Notation
  • Polynomials
  • Addition and Subtraction of Polynomials
  • Multiplication of Polynomials
  • Special Products
  • Polynomials in Several Variables
  • Division of Polynomials

Module 5: Factoring

  •      Introduction to Factoring
  •      Factoring Trinomials of the Type x2 + bx + c
  •      Factoring Trinomials of the Type ax2 + bx + c
  •      Factoring Perfect-Square Trinomials and Differences of Squares
  •      Factoring Sums or Differences of Cubes
  •      Factoring:  A General Strategy
  •      Solving Polynomial Equations by Factoring
  •      Solving Applications

Module 6: Rational Expressions and Equations

  • Rational Expressions
  • Multiplication and Division of Rational Expressions
  • Addition, Subtraction, and Least Common Denominators
  • Addition and Subtraction with Unlike Denominators
  • Complex Rational Expressions
  • Solving Rational Equations
  • Applications Using Rational Equations and Proportions

Module 7: Systems of Equations and Inequalities

  • Systems of Equations in Two Variables
  • Solving by Substitution or Elimination
  • Solving Applications:  Systems of Two Equations
  • Business and Economics Applications
  • Inequalities in Two Variables

Module 8: Radical Expressions and Equations

  • Radical Expressions and Functions
  • Rational Numbers as Exponents
  • Multiplying Radical Expressions
  • Dividing Radical Expressions
  • Expressions Containing Several Radical Terms
  • Solving Radical Equations
  • The Distance and Midpoint Formulas and Other Applications

Module 9: Quadratic Equations

  • Introduction to Functions
  • Domain and Range
  • Graphs of Functions
  • The Complex Numbers
  • Quadratic Equations
  • The Quadratic Formula
  • Quadratic Functions and Their Graphs
  • More About Graphing Quadratic Functions

Module 10: Data Representation

  • Data
  • Displaying and Describing Categorical Data
  • Displaying and summarizing Quantitative Data