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: Absolute Value Inequalities (ppt)
  3. Notes (old): Absolute Value Inequalities (ppt)
  4. Notes (old): Absolute Value Inequalities Review (ppt)
Real World Lessons
  1. VDOE ESS: Solve by Graphing Worksheet (pdf)
  2. VDOE ESS: Activity 2 Problems Worksheet (pdf)
  3. VDOE ESS: Activity 3 Stations Worksheet (pdf)
  4. Worksheet: Absolute Value Inequalities (doc)
  5. Worksheet: Absolute Value Inequalities – Real World Applications (doc)
  6. Worksheet: Review – Absolute Value Equations, Inequalities, and Real World Problems (doc)
  1. SOL Mini-Quiz: Absolute Value Inequalities
  1. JMU Pivotal Question: Absolute Value (doc)
  1. Video Tutor - Solving Absolute Value Inequalities
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: Solving Absolute Value Inequalities from
Common Core Standards