Patterns, Functions, and Algebra

Virginia SOL 8.PFA.5

Write and solve multistep linear inequalities in one variable, including contextual problems.

What students need to be able to do

  • Apply properties of real numbers and properties of inequality to solve multistep linear inequalities (up to four steps) in one variable with the variable on one or both sides of the inequality.
  • Represent solutions to inequalities algebraically and graphically using a number line.
  • Write multistep linear inequalities in one variable to represent a verbal situation, including those in context.
  • Create a verbal situation in context given a multistep linear inequality in one variable.
  • Solve problems in context that require the solution of a multistep linear inequality.
  • Identify a numerical value(s) that is part of the solution set of a given inequality.
  • Interpret algebraic solutions in context to linear inequalities in one variable.