Patterns, Functions, and Algebra

Virginia SOL 7.PFA.4

Write and solve one- and two-step linear inequalities in one variable, including contextual problems.

What students need to be able to do

  • Apply properties of real numbers and inequality properties to solve one- and two-step inequalities in one variable.
  • Investigate and explain how multiplying or dividing by a rational number less than zero affects the solution set of a linear inequality.
  • Represent solutions to one- or two-step linear inequalities algebraically and graphically using a number line.
  • Write one- or two-step linear inequalities in one variable to represent a verbal situation, including contextual problems.
  • Create a verbal situation in context given a one- or two-step linear inequality in one variable.
  • Solve problems in context that require the solution of a one- or two-step inequality.
  • Identify numerical values that are part of the solution set of a given one- or two-step linear inequality in one variable.
  • Describe differences and similarities between solving linear inequalities and linear equations in one variable.