This lesson will help students understand how to solve one-step addition, subtraction, multiplication, and division inequalities using inverse operations, as well as how to graph inequalities on a number line.
Help students understand how to solve one-step addition, subtraction, multiplication, and division inequalities with this seventh-grade lesson plan. Students will learn how to use inverse operations to solve one-step inequalities, while learning some key differences to be aware of when solving multiplication and division inequalities. Students will also gain practice graphing solution sets for inequalities on number lines.
Students will be able to solve one-step inequalities that involve addition, subtraction, multiplication, and division.
Students will also be able to graph solution sets for one-step inequalities and interpret solutions within the context of a problem.
Prior to teaching this lesson, make sure that students have practiced solving one-step equations, graphing inequalities on number lines, and operating with positive and negative rational numbers.
Write the following one-step equations on the whiteboard:
x + 12 = −4
y − 8 = 9
−6m = 72
b ÷ 4 = −5
Ask students to solve the one-step equations using inverse operations.
Ask four students to come up to the board and show how they solved the one-step equations. Make sure students show how to use inverse operations to solve.