Course 2 Online!
Henrico County Public Schools, Virginia
7.15 - Inequalities
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Patterns, Functions, and Algebra
Focus: Linear Equations


The student will
a)   solve one-step inequalities in one variable; and
b)   graph solutions to inequalities on the number line. 
Essential Knowledge and Skills 
  • Represent and demonstrate steps in solving inequalities in one variable, using concrete materials, pictorial representations, and algebraic sentences.
  • Graph solutions to inequalities on the number line.
  • Identify a numerical value that satisfies the inequality.
Essential Understandings
  • How are the procedures for solving equations and inequalities the same? The procedures are the same except for the case when an inequality is multiplied or divided on both sides by a negative number. Then the inequality sign is changed from less than to greater than, or greater than to less than.
  • How is the solution to an inequality different from that of a linear equation? In an inequality, there can be more than one value for the variable that makes the inequality true.
Vertical Articulation
  • SOL 6.20 - graph inequalities on number line
  • SOL 8.16 - graph linear equation in two variables
  • SOL A.5abcd - solve multistep linear inequalities (2 variables) - a) solve multistep linear inequalities (algebraically/graphically); b) justify steps used in solving inequalities; c) solve real-world problems involving inequalities; d) solve systems of inequalities
  • SOL A.6ab - graph linear equations/linear inequalities (in 2 variables) - a) determine slope of line given equation of line/graph of line or two points on line - slope as rate of change; b) write equation of line given graph of line, two points on line or slope & point on line
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Inequalities (PDF) - Solving one and two step linear equations (Word)
  2. Notes: Solving One-Step Inequalities with Addition/Subtraction (ppt)
  3. Notes: Solving One-Step Inequalities with Addition/Subtraction (ppt)
  4. Notes: Solving One-Step Inequalities with Addition/Subtraction #2 (ppt)
  5. Notes: Solving One-Step Inequalities with Multiplication/Division (ppt)
  6. Notes: Graphing Inequalities (flipchart)
  7. Guided Practice: Solving One-Step Inequalities with Multiplication/Division (doc)
  8. Activity: Solving One-Step Inequalities - Chart Organization (doc)
  9. Activity: Expressions, Equations, and Inequalities Sort (doc)
Real World Lessons
  1. Mathalicious: An AppleCare a Day - Is it ever a good idea to buy an extended warranty?
Practice
  1. Solving One-Step Inequalities Practice - Addition/Subtraction (doc)
  2. Solving One-Step Inequalities Practice - Addition/Subtraction #2 (doc)
  3. Solving One-Step Inequalities Practice - Addition/Subtraction #3 (doc)
  4. Solving One-Step Inequalities Practice - Multiplication/Division (doc)
  5. Solving One-Step Inequalities Practice - Multiplication/Division #2 (doc)
  6. Solving One-Step Inequalities Practice (doc)
  7. Solving One-Step Inequalities Practice #2 (pdf)
  8. Equations and Inequalities SOL questions (doc)
  9. Inequality Word Problems (flipchart)
  10. Review of Equations and Inequalities (doc)
SOL Mini Quiz
  1. SOL 7.15 Mini Quiz: Inequalities (pdf) | (doc)
Skills
  1. Inequalities: Guess My Age (doc)
Videos
  1. PH Graphing Solutions to One Variable Inequalities
  2. PH Writing an Inequality from a Graph
  3. PH Writing Inequalities
  4. PH Solving Inequalities by Addition
  5. PH Solving Inequalities by Subtraction
  6. PH Solving Inequalities by Multiplication
  7. PH Solving Inequalities by Division
  8. YouTube: Solving ang Graphing Inequalities
  9. YouTube: Solving ang Graphing Inequalities
Explore Learning
  1. Solving Linear Inequalities using Addition and Subtraction: Solve a linear inequality. Graph the solution on a dynamic number line.
  2. Solving Linear Inequalities using Multiplication and Division: Solve an inequality involving multiplication and division. Graph the solution on a number line.
  3. Compound Inequalities: Explore the graphs of two inequalities and find their union or intersection. Determine the relationship between the endpoints of the inequalities and the endpoints of the compound inequality.
Websites
  1. Math.com: Writing Inequalities - notes and workout problems
  2. RegentsPrep:: Solving Inequalities - lessons and practice problems
  3. Math.com: Solving Inequalities - notes and workout problems
  4. ClassZone: Solving Inequalities
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra - The lessons focus on algebraic reasoning. Additionally, students learn to solve equations and inequalities, first by using manipulatives and then by working with symbols. They use modeling to collect data, and they learn to record data so that they can see the relationship that exists among tables, graphs, words, and equations. (pdf)
Common Core Standards
6.EE.5
6.EE.8
7.EE.4b