24 related resources

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

Guided notes explain why the inequality symbol flips when multiplying or dividing by a negative number, then eight practice problems, a ten-item partner check, and a ten-question test all reinforce the same rule with full answer keys.
Grades
Grade 7, Middle School
File type
PDF
Preparation
Print ready

Updated Mar 31, 2022

Subject
Math, Algebra
Topic
solving inequalities, notes
Resource types
Activities
Preparation
Print ready

About this resource

What's inside this resource

This resource was developed to PARTIALLY meet the requirements of the 7th Grade Number Systems 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

  • Check a solution to an inequality by substituting a value from the solution set

Teaching tips

  • Use the 'Predict' activity on the notes page (four 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

  • Use the Google Forms version of the test practice for a self-scoring digital check, or the printable version for a paper quiz

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.

  • Solution graphing — students graph the solution set of each inequality on a number line as part of the solve/graph/check practice.

  • 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.

No reviews yet

Downloaded this resource? Tell other teachers how it went.

Resource details

Concepts & topics

Explore more

Categories this resource belongs to

Explore related searches

More to explore

You may also like