AII.4 
The student will solve, algebraically and graphically,
a) absolute value equations and inequalities. 

Essential Knowledge and Skills 
 Solve absolute value equations and inequalities algebraically and graphically.
 Apply an appropriate equation to solve a realworld problem.
 Determine which field properties apply to the complex number system.

Essential Understandings 
 The definition of absolute value (for any real numbers a and b, where b ≥ 0, if a= b, then a = b or a =  b) is used in solving absolute value equations and inequalities.
 Absolute value inequalities can be solved graphically or by using a compound statement.
 Realworld problems can be interpreted, represented, and solved using equations and inequalities.
 Equations can be solved in a variety of different ways.
 Set builder notation may be used to represent solution sets of equations and inequalities.


Vertical Articulation 
 SOL A.4df  d) solve multistep linear equations (algebraically/graphically); f) solve real‐world problems involving equations and systems of equations

Instructional Materials 
 VDOE ESS Lesson: Absolute Value Equations and Inequalities  Equations and Inequalities (PDF)  Solving absolute value equations and inequalities (Word)
 Notes: Solving Absolute Value Equations (ppt)

Real World Lessons 

Practice 
 VDOE ESS: Activity 2 Problems Worksheet (pdf)
 Worksheet: Absolute Value Equations (doc)  Answer Key (doc)

SelfAssessments 
 SOL MiniQuiz: Absolute Value Equations

Skills 
 JMU Pivotal Question: Absolute Value (doc)

Videos 
 Video Tutor Solving Absolute Value Equations

Explore
Learning 
 Inequalities Involving Absolute Values  Solve an inequality involving absolute values using a graph of the absolutevalue function. Vary the terms of the absolutevalue function and vary the value that you are comparing it to. Then explore how the graph and solution set change in response.

Websites 
 Notes: Graphing Absolute Value Equations from Purplemath.com
 Notes: Solving Absolute Value Equations from Purplemath.com
 Interactive: Solving Absolute Value Equations from S.O.S. Math

Common Core
Standards 
NCN.7 
NCN.8 
AREI.2 
AREI.4a 
AREI.4b 
FIF.7b 
FIF.8a 
