Grade 7 Math: Linear Inequalities

This topic teaches students the basics of linear inequalities. This series of four lessons teaches the students how to write inequalities which involve variables and then teaches them to solve one and two step linear inequalities. Finally, the topic concludes with a description of how to graph solutions to inequalities.

This topic allows the student to expand their knowledge on linear equations and inequalities.

Write Inequalities with Variables

In this lesson, students learn to write inequalities from sentences which use variables.

Solving One Step Linear Inequalities

In this lesson, the student learns to solve one step linear inequalities. That is, they learn to solve inequalities where solving for x requires either a step of addition or subtraction or a step of multiplication or division. The student is shown that when they multiply or divide by a negative number that the inequality sign needs to be swapped to allow the inequality to remain true.

Solving Two Step Linear Inequalities

This lesson builds on the foundation of the previous lesson to teach students to solve linear inequalities which require two steps to solve. Students learn how to solve linear inequalities that require both addition or subtraction and multiplication or division.

Graphing Solutions to Inequalities

This lesson teaches students how to graph the solution of a linear inequality on a number line. The lesson explains the use of a parentheses symbol on the number line if the inequality is strict and the use of a bracket symbol on the number line if the inequality is not strict.

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