Algebra 2 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities



SOL Review Materials
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 real-world 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.
  • Real-world 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
  1. SOL A.4df - d) solve multistep linear equations (algebraically/graphically); f) solve real‐world problems involving equations and systems of equations
Instructional Materials
  1. VDOE ESS Lesson: Absolute Value Equations and Inequalities - Equations and Inequalities (PDF) - Solving absolute value equations and inequalities (Word)
  2. Notes: Solving Absolute Value Equations (ppt)
Real World Lessons
  1. VDOE ESS: Activity 2 Problems Worksheet (pdf)
  2. Worksheet: Absolute Value Equations (doc) | Answer Key (doc)
  1. SOL Mini-Quiz: Absolute Value Equations
  1. JMU Pivotal Question: Absolute Value (doc)
  1. Video Tutor -Solving Absolute Value Equations
Explore Learning
  1. Inequalities Involving Absolute Values - Solve an inequality involving absolute values using a graph of the absolute-value function. Vary the terms of the absolute-value function and vary the value that you are comparing it to. Then explore how the graph and solution set change in response.
  1. Notes: Graphing Absolute Value Equations from
  2. Notes: Solving Absolute Value Equations from
  3. Interactive: Solving Absolute Value Equations from S.O.S. Math
Common Core Standards