In this Grade 7 enVision Mathematics lesson from Chapter 5, students learn how to write and solve two-step inequalities using the Addition, Subtraction, Multiplication, and Division Properties of Inequality, including the rule that the inequality symbol reverses when multiplying or dividing by a negative number. Students practice translating real-world situations into inequalities of the form ax + b ≤ c or ax + b > c and graphing their solutions on a number line. Unlike two-step equations, students discover that two-step inequalities produce a range of solutions rather than a single value.
Section 1
Solving Two-Step Linear Inequalities
A two-step linear inequality has the form , , , or , where . To solve a two-step inequality, use the same steps as solving a two-step equation, but reverse the inequality sign when multiplying or dividing both sides by a negative number.
Section 2
Common Errors in Solving Two-Step Inequalities
Common errors in two-step inequalities include: forgetting to reverse the inequality symbol when multiplying or dividing by negative numbers, applying operations to only part of an expression instead of both sides, and misinterpreting inequality symbols in word problems.
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Section 1
Solving Two-Step Linear Inequalities
A two-step linear inequality has the form , , , or , where . To solve a two-step inequality, use the same steps as solving a two-step equation, but reverse the inequality sign when multiplying or dividing both sides by a negative number.
Section 2
Common Errors in Solving Two-Step Inequalities
Common errors in two-step inequalities include: forgetting to reverse the inequality symbol when multiplying or dividing by negative numbers, applying operations to only part of an expression instead of both sides, and misinterpreting inequality symbols in word problems.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter