Two-Step Inequality Real-World Word Problems Discovery Stations | 7th Grade Math

⭐ TWO-STEP INEQUALITY REAL-WORLD WORD PROBLEMS — DISCOVERY STATIONS (GRADE 7) ⭐

Help your 7th graders master CCSS 7.EE.B.4b with this premium 41-page discovery-stations unit on two-step inequality real-world word problems. Unlike most TPT inequality resources that stop at solving, this unit forces students to WRITE the inequality from a real-world context, SOLVE it using inverse operations, GRAPH the solution set on a number line, and INTERPRET the meaning in context — the full sense-making cycle that 7th-grade math students need.

Aligned to CCSS 7.EE.B.4b: 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.

✅ WHAT'S INSIDE THIS 41-PAGE RESOURCE:

• 4 Discovery Station Cards (16 real-world problems total) - Station 1: Spending Limits — gift cards, per-item cost, and flat shipping - Station 2: Time Constraints — evening budget for chores + homework - Station 3: Speed and Distance — minimum speed to arrive on time - Station 4: Savings Goals — weekly deposit + opening balance to reach a target • 4 "Write Your Own Inequality" Extension Tasks (one per station) — for advanced learners who finish early • Printable Anchor Chart — the 4-step WRITE → SOLVE → GRAPH → INTERPRET workflow with a worked mini-example and key vocabulary sidebar • 2-Page Student Recording Sheet — Write / Solve / Graph / Interpret scaffolding for every problem • Exit Ticket — 3-question formative assessment with Emerging / Proficient / Advanced rubric • Complete Worked-Solution Answer Key — every problem solved step-by-step with number-line graphs and common-mistake notes • CCSS 7.EE.B.4b Alignment Chart — maps every station, extension, and exit-ticket question to the standard with Bloom's verbs • Branded Review Request Page — for collecting TPT feedback

✅ WHY THIS RESOURCE IS DIFFERENT:

Most TPT inequality worksheets give students a pre-written inequality and ask them to solve it. This resource asks students to do the harder, more valuable work: READ a real-world scenario, DECIDE which inequality symbol (<, >, ≤, ≥) matches the context, WRITE the inequality in the form px + q > r or px + q < r, SOLVE it, GRAPH the solution set with the correct open or closed circle, and INTERPRET the answer using the original units (items, weeks, miles per hour).

Every problem is differentiated by difficulty within each station, and every station includes a "Write Your Own Inequality" extension task for advanced learners.

✅ LEARNING TARGETS:

• I can translate a real-world word problem into a two-step inequality of the form px + q > r or px + q < r. • I can solve a two-step inequality using inverse operations, attending to whether the inequality symbol must flip. • I can graph the solution set of a two-step inequality on a number line, distinguishing open and closed circles. • I can interpret the solution of an inequality in the original real-world context, including rounding appropriately for whole-unit scenarios.

✅ HOW TO USE THIS RESOURCE:

1. Print one station card per group, one recording sheet per student, and post the anchor chart in your classroom. 2. Divide the class into four mixed-ability groups. Each group starts at a different station and rotates every 10 minutes. 3. Students work through Write → Solve → Graph → Interpret for every problem on the recording sheet. 4. Allow 5 minutes at the start for directions and 5 minutes at the end for the exit ticket. 5. Use the exit-ticket rubric to identify Emerging / Proficient / Advanced students for next-day reteach.

✅ SUGGESTED PACING:

• 45–60 minute class period • 5 min directions + 4 × 10 min stations + 5 min exit ticket • Extension tasks can be used as next-day warm-ups for fast finishers

✅ DIFFERENTIATION SUPPORTS:

• For students who need scaffolding: pre-label variables on the recording sheet; provide the first inverse-operation step as a worked example. • For advanced learners: assign the "Write Your Own Inequality" extension at every station. Encourage compound inequalities (and / or) and ask students to identify whether the inequality is strict or non-strict. • Fast finishers can peer-review a partner's extension problem using the rubric on the exit-ticket page.

✅ PERFECT FOR:

• 7th-grade math classrooms aligned to CCSS 7.EE.B.4b • Math stations, math centers, or rotation activities • Test prep and end-of-unit review • Sub plans (everything is print-and-go) • Homeschool co-op math blocks • Summer school or after-school tutoring • Reteach and intervention blocks

✅ FILE FORMAT:

• PDF — ready to print on 8.5 × 11 inch paper • 41 pages total • All fonts embedded; vector-quality at any zoom • Single-classroom license

✅ RELATED CCSS STANDARDS:

• 7.EE.B.4 — Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. • 7.EE.B.4b — 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.

✅ TEACHERS ARE SAYING:

⭐⭐⭐⭐⭐ "My students finally understood WHY they were solving inequalities — the Write/Solve/Graph/Interpret structure made the connection stick." — 7th Grade Math Teacher ⭐⭐⭐⭐⭐ "The discovery-stations format kept my class engaged for the entire 50-minute block. The extension tasks saved my fast finishers." — Middle School Math Teacher ⭐⭐⭐⭐⭐ "The worked-solution answer key with common-mistake notes was a lifesaver for my reteach block." — Math Interventionist

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✅ TERMS OF USE:

© UM Printables. This resource is for single-classroom use only. Redistribution, resale, or sharing electronically is prohibited. Additional licenses available at a discounted rate.

✅ FAQ:

Q: Is this resource editable? A: No — this is a print-ready PDF to preserve formatting and branding.

Q: Does this resource include an answer key? A: Yes — every problem includes a full worked solution with number-line graphs and common-mistake notes.

Q: Can I use this for 6th or 8th grade? A: The content is specifically aligned to CCSS 7.EE.B.4b. It works best for 7th-grade on-level students or as 8th-grade intervention.

Q: How long does the activity take? A: 45–60 minutes for the full rotation, plus 5 minutes for the exit ticket.

Q: Are the number-line graphs included? A: Yes — every problem includes a pre-printed number line on the recording sheet, and the answer key shows the correctly graphed solution set.

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