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: Absolute Value Inequalities (ppt)
 Notes (old): Absolute Value Inequalities (ppt)
 Notes (old): Absolute Value Inequalities Review (ppt)

Real World Lessons 

Practice 
 VDOE ESS: Solve by Graphing Worksheet (pdf)
 VDOE ESS: Activity 2 Problems Worksheet (pdf)
 VDOE ESS: Activity 3 Stations Worksheet (pdf)
 Worksheet: Absolute Value Inequalities (doc)
 Worksheet:
Absolute Value Inequalities – Real World Applications (doc)
 Worksheet: Review – Absolute Value Equations, Inequalities, and Real World Problems (doc)

SelfAssessments 
 SOL MiniQuiz: Absolute Value Inequalities

Skills 
 JMU Pivotal Question: Absolute Value (doc)

Videos 
 Video Tutor  Solving Absolute Value Inequalities

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: Solving Absolute Value Inequalities from Purplemath.com

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