Algebra I Lesson

Real Talk: Writing & Solving Linear Inequality Applications

Shared by A STEM Educator

8th or 9th GradeBTCCCSS.MATH.CONTENT.HSA.REI.B.3, CCSS.MATH.CONTENT.7.EE.B.4b60 min

Learning Objective

Students will write, solve, and interpret linear inequalities in one variable to model real-world constraints, including cases requiring reversal of the inequality symbol.

Lesson Overview

Students move from interpreting simple inequality situations to writing, solving, and graphing multi-step linear inequalities in real-world contexts, building one layer of complexity at a time on vertical surfaces.

Materials

Vertical whiteboards or large chart paper
Dry-erase markers (multiple colors)
Erasers or paper towels
Random grouping cards or app
Printed number line strips (optional)
Four-Quadrant consolidation note sheet (one per student)

Scaffolded Task Progression

1Task 1

Is each value a solution to

x < 5

? Test each one and mark YES or NO on your board.
a)

x = 3

x = 5

x = - 2

x = 4.9

Then graph the solution set on a number line.

2Task 2

Is each value a solution to

x < 5

? Test each one and mark YES or NO on your board.

1. Check whether

x = 3

is a solution.
2. Check whether

x = 5

is a solution.
3. Check whether

x = - 2

is a solution.
4. Check whether

x = 4.9

is a solution.
5. Graph the solution set on a number line.

3Task 3

A skate park charges 3 dollars per visit. You have at most 18 dollars to spend. Write and solve an inequality to find how many visits

v

you can make. Graph your solution.

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