Seventh Grade One-Step Inequality Word Problems - Twinkl - Free Printable

I'll solve these one-step inequality word problems step by step.

Problem 1: Clara's Morning Routine
- Total time available: 35 minutes
- Time for singing practice: 22 minutes
- Time needed for quick meal: ?

Clara needs to have her meal AND do singing practice within 35 minutes.
If she spends 22 minutes on singing, the remaining time is: 35 - 22 = 13 minutes

So Clara can eat a quick meal for at most 13 minutes.

Inequality: Let m = minutes for meal
m + 22 ≤ 35
m ≤ 13

Answer: 13

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Problem 2: Lincoln's CD Collection
- Original collection: 24 CDs
- Final collection: over 70 CDs
- CDs given away: ?

Lincoln started with 24 and ended up with more than 70 after giving some away... wait, that doesn't make sense. If he gave CDs away, he'd have fewer. Let me re-read.

Oh! He "donated" 24 CDs TO his local music store. So he GAVE AWAY 24 CDs from his collection. After giving them away, he still has OVER 70 CDs left.

Let c = original number of CDs in his collection
c - 24 > 70
c > 70 + 24
c > 94

So Lincoln had MORE THAN 94 CDs originally.

Answer: 94

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Problem 3: Victorian Veggies' Muffins
- Cost per box: $35
- Target earnings: $150
- Number of boxes to sell: ?

To earn AT LEAST $150:
35 × (number of boxes) ≥ 150

Number of boxes ≥ 150 35
Number of boxes ≥ 4.2857...

Since you can't sell a fraction of a box, they need to sell at least 5 boxes.

Check: 5 × $35 = $175 ✓ (which is ≥ $150)
Check: 4 × $35 = $140 ✗ (which is < $150)

Answer: 5

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Problem 4: Brad's Leftover Dough
- Total leftover dough: 2 pounds
- Number of containers: 5
- Amount per container: ?

Brad splits 2 pounds equally among 5 containers.
Amount per container = 2 ÷ 5 = 0.4 pounds

Each container holds 0.4 pounds (or 2/5 pounds).

Answer: 0.4

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Final Answer:
1. 13
2. 94
3. 5
4. 0.4