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

⭐ TWO-STEP INEQUALITY REAL-WORLD WORD PROBLEMS — DISCOVERY STATIONS | GRADE 7 MATH ⭐

Help your 7th graders master two-step inequalities through real-world problem solving with this premium 41-page discovery-stations resource aligned to **CCSS 7.EE.B.4b**.

Instead of giving students a pre-written inequality to solve, this unit takes them through the complete mathematical sense-making process: **WRITE → SOLVE → GRAPH → INTERPRET**. Students read real-world situations, choose the appropriate inequality, solve using inverse operations, graph the solution set, and explain what the answer means in context.

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• **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 and homework

**Station 3 — Speed & Distance:** Minimum speed needed to arrive on time

**Station 4 — Savings Goals:** Weekly deposits and opening balances to reach a target

• **4 "Write Your Own Inequality" Extension Tasks** — one for each station

• **Printable Anchor Chart** — WRITE → SOLVE → GRAPH → INTERPRET workflow with a worked mini-example and vocabulary sidebar

• **2-Page Student Recording Sheet** — structured Write / Solve / Graph / Interpret workspace for every problem

• **Exit Ticket** — 3-question formative assessment with Emerging / Proficient / Advanced rubric

• **Complete Worked-Solution Answer Key** — step-by-step solutions with number-line graphs and common-mistake notes

• **CCSS 7.EE.B.4b Alignment Chart** — maps stations, extensions, and exit-ticket questions to the standard

• **Branded Review Request Page**

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Most inequality worksheets begin with an equation or inequality that students simply solve.

This resource asks students to do the complete reasoning cycle:

**READ** the real-world situation → **CHOOSE** the appropriate inequality symbol → **WRITE** the inequality in the form px + q > r or px + q < r → **SOLVE** using inverse operations → **GRAPH** the solution set with the correct open or closed circle → **INTERPRET** the result using the original units

Problems are differentiated by difficulty within each station, and each station includes an extension opportunity for advanced learners.

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Students will be able to:

• Translate a real-world situation into a two-step inequality of the form px + q > r or px + q < r.

• Solve a two-step inequality using inverse operations, including recognizing when the inequality symbol must flip.

• Graph a solution set on a number line using open and closed circles appropriately.

• Interpret an inequality solution in the original real-world context, including appropriate rounding for whole-unit situations.

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1. Print one station card per group, one recording sheet per student, and display the anchor chart.

2. Divide the class into four mixed-ability groups. Each group begins at a different station and rotates every 10 minutes.

3. Students complete the **Write → Solve → Graph → Interpret** process for each problem.

4. Allow 5 minutes for directions and 5 minutes at the end for the exit ticket.

5. Use the exit-ticket rubric to identify Emerging, Proficient, and Advanced learners for follow-up instruction.

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**45–60 minute class period**

• 5 minutes — Directions • 4 × 10 minutes — Station rotations • 5 minutes — Exit ticket

Extension tasks can also be used as next-day warm-ups for fast finishers.

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**For students needing additional scaffolding:**