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.4a

Apply 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.4b

Investigate 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.4c

Represent solutions to one- or two-step linear inequalities in one variable algebraically and graphically using a number line.

7.PFA.4f

Solve problems in context that require the solution of a one- or two-step inequality.

7.PFA.4g

Identify 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.4h

Describe the differences and similarities between solving linear inequalities in one variable and linear equations in one variable.

4.06 Solve two-step inequalities

Interactive practice questions

Outcomes

7.PFA.4