Module-Lessons

VI. - Linear Equations with One Variable

Modules

Algebra3 – Solving Linear Equations of One Variable

A3.1 – Identifying Properties of Equality

  • Equality
  • Reflexive Property of Equality
  • Symmetric Property of Equality
  • Transitive Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality
  • Multiplication Property of Equality
  • Division Property of Equality
  • Algebraic Proof
  • Conclusion

A3.2 – Solving Equations by Inspection

  • Solving Addition Equations by Inspection
  • Solving Subtraction Equations by Inspection
  • Solving Multiplication Equations by Inspection
  • Solving Division Equations by Inspection
  • Conclusion

A3.3 – Solving One-Step Linear Equations

  • Solving One-Step Equations Using Division
  • Solving One-Step Equations Using Multiplication
  • Solving One-Step Equations Using Addition
  • Solving One-Step Equations Using Subtraction
  • Conclusion

A3.4 – Solving Two-Step Linear Equations

  • Working Backwards
  • Solving Two-Step Equations
  • Conclusion

A3.5 – Solving Multi-Step Linear Equations

  • Solving Multi-Step Equations-Combining Like Terms
  • Solving Multi-Step Equations-Variable Terms on Both Sides of the Equation
  • Identity Equations
  • Solving Multi-Step Equations-No Solution
  • Solving Multi-Step Equations-Distributive Property
  • Solving Multi-Step Equations-Fractions
  • Conclusion

A3.6 – Rewriting Formulas

  • Defining Formula
  • Using the Area Formula
  • Rewriting the Area Formula

Algebra4 – Problems Solving with Linear Equations of One Variable

A4.1 – Translating Sentences into Algebraic Equations

  • Writing a Sentence as an Equation
  • Writing a Sentence as an Equation with Parentheses
  • Writing a Sentence as an Equation for Real-World Situations
  • Conclusion

A4.2 – Solving Consumer/Business Problems Using Equations of One Variable

  • Steps to Solving Consumer/Business Problems
  • Consecutive Integers
  • Finding Percent in Consumers/Business Problems
  • Percent Increase and Percent Decrease
  • Conclusion

A4.3 – Solving Geometry Problems Using Equations of One Variable

  • Perimeter Problems
  • Angle Sum Problems
  • Conclusion

A4.4 – Solving Mixture and Rate Problems Using Equations of One Variable

  • Mixture Problems without Percents
  • Mixture Problems with Percents
  • Distance Problems
  • Conclusion

Algebra5 – Solving Linear Inequalities of One Variable

A5.1 – Solving Linear Inequalities by Inspection

  • Inequality Symbols
  • Solution of an Inequality
  • Graphing Linear Inequalities
  • Conclusion

A5.2 – Solving One-Step Linear Inequalities

  • Solving One-Step Inequalities by Addition or Subtraction
  • Solving One-Step Inequalities by Multiplying or Dividing by a Positive Number
  • Solving One-Step Inequalities by Multiplying or Dividing by a Negative Number
  • Conclusion

A5.3 – Solving Two-Step Linear Inequalities

  • Solving Two-Step Inequalities – Inequality Symbol Does Not Reverse
  • Solving Two-Step Inequalities – Inequality Symbol Reverses
  • Conclusion

A5.4 – Solving Multi-Step Linear Inequalities

  • Solving Inequalities with Variables on Both Sides
  • Solving Multi-Step Inequalities Involving Simplifying Expression
  • Conclusion

A5.5 – Solving Conjunction Inequalities

  • Defining Graphing Conjunctions
  • Solving Multi-Step Conjuntions
  • Conclusion

A5.6 – Solving Disjunction Inequalities

  • Defining Disjunctions
  • Solving Multi-Step Disjunctions
  • Conclusion

A5.7 – Solving Problems Using Inequalities of One Variable

  • Solving Problems with One-Step Inequalities
  • Solving Problems with Two-Step Inequalities
  • Solving Problems with Multi-Step Inequalities
  • Conclusion

Algebra6 – Solving Absolute Value Equations and Inequalities

A6.1 – Solving Basic Absolute Value Equations

  • Absolute Value Defined
  • Solve the Absolute Value of x=a, a>0
  • Solve the Absolute Value of ax+b=k, k>0
  • Solving Basic Absolute Value Equations with One or No Solution
  • Conclusion

A6.2 – Solving Advanced Absolute Value Equations

  • Isolating the Absolute Value One-Step
  • Isolating the Absolute Value Two-Step
  • Conclusion

A6.3 – Solving Inequalities Using “Absolute Value Is Less Than“

  • Solving One-Step Inequalities Containing Absolute Value is Less Than
  • Solving Two-Step Inequalities Containing Absolute Value is Less Than
  • Isolating the Absolute Value Expression when Solving Inequalities with Absolute Value is Less Than
  • Conclusion

A6.4 – Solving Inequalities Using “Absolute Value Is Greater Than”

  • Explaining the Steps of Solving Inequalities Containing Absolute Value is Greater Than
  • Solving “Two-Step” Inequalities Containing Absolute Value is Greater Than
  • Isolating the Absolute Value Before Solving Inequalities with Greater Than
  • Conclusion

A6.5 – Solving Problems Using Absolute Value Equations and Inequalities

  • Modeling with Inequalities Using Absolute Value Less Than
  • Modeling Using Absolute Value Equations
  • Modeling with Inequalities Using Absolute Value Greater Than