## 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
• 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