7.PFA.4

The student will write and solve one- and two-step linear inequalities in one variable, including problems in context, that require the solution of a one- and two-step linear inequality in one variable.

7.PFA.4.aApply properties of real numbers and the addition, subtraction, multiplication, and division properties of inequality to solve one- and two-step inequalities in one variable. Coefficients and numeric terms will be rational.7.PFA.4.bInvestigate and explain how the solution set of a linear inequality is affected by multiplying or dividing both sides of the inequality statement by a rational number less than zero.7.PFA.4.cRepresent solutions to one- or two-step linear inequalities in one variable algebraically and graphically using a number line.7.PFA.4.dWrite one- or two-step linear inequalities in one variable to represent a verbal situation, including those in context.7.PFA.4.eCreate a verbal situation in context given a one or two-step linear inequality in one variable.7.PFA.4.fSolve problems in context that require the solution of a one- or two-step inequality.7.PFA.4.gIdentify a numerical value(s) that is part of the solution set of as given one- or two-step linear inequality in one variable.7.PFA.4.hDescribe the differences and similarities between solving linear inequalities in one variable and linear equations in one variable.
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