Solving 1 & 2-Step Inequalities: Notes, Practice, Partner Activity

Students solve one- and two-step inequalities and compare results with a partner. Guided notes focus on the reasoning behind reversing the inequality sign.
Grades
Grade 7
Pages
8
File type
PDF
Answer key
Included

Updated Mar 31, 2022

Subject
Math, Algebra
Topic
Solving inequalities, Notes
Resource types
Worksheets
Answer key
Included
Standards
7.EE.B.4

Product description

From the author

This resource was developed to PARTIALLY meet the requirements of the 7th Grade Expressions and Equations Standards below.

CCSS.MATH.CONTENT.7.EE.B.4.B
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Solve one- and two-step inequalities using the same inverse-operation process as solving equations

  • Identify when multiplying or dividing both sides of an inequality by a negative number requires flipping the inequality symbol

  • Graph the solution set of a one- or two-step inequality on a number line

Teaching tips

  • Use the 'Predict' activity on the notes page (eight sample inequalities) as a quick formative check before moving to the full eight-problem practice set

  • Assign the partner practice as true paired work, since Partner A and Partner B receive different problems specifically so they can't simply copy each other's answers

  • Note that this resource assumes students already know how to solve one- and two-step equations; pair it with the vendor's companion equations resource first if that skill needs review

Skills covered

  • Inequality solving — students apply inverse operations to solve one- and two-step inequalities, following the same process used for equations.

  • Sign-flip recognition — students predict and confirm when multiplying or dividing by a negative number requires reversing the inequality symbol.

  • Peer error-checking — in the partner activity, students solve independent problems, compare answers with a partner, and analyze any mismatches for errors.

Good to know

Questions teachers ask about this resource

How does the partner activity keep both students accountable instead of one copying the other?

Partner A and Partner B are each given a different set of ten inequalities to solve on their own, then they compare final answers with each other; only mismatched answers get re-analyzed together, so both students have to actually solve their own set first.

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Curriculum

Standards, concepts & topics

Standards

  • 7.EE.B.4

Core concepts

  • One- and two-step inequalities

  • Inverse operations

  • Inequality sign flip

  • Graphing solution sets

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