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.