Inequality Word Problems Worksheet - Free Printable

1. Let `x` be the number of times Sara withdraws $60 for food.
- Initial savings: $900
- Cost of laptop: $600
- Remaining money after buying laptop: $900 - $600 = $300
- Each withdrawal: $60
- Total withdrawn for food: 60x
- Inequality: 60x ≤ 300
- Solve: x ≤ 5
- Sara can withdraw money for food at most 5 times.

2. Let `m` be the number of miles the limo travels.
- Fixed cost: $700
- Cost per mile: $0.15
- Total cost: 700 + 0.15m
- Budget: $750
- Inequality: 700 + 0.15m ≤ 750
- Subtract 700: 0.15m ≤ 50
- Divide by 0.15: m ≤ 333.33...
- The limo can travel at most 333 miles (since partial miles are not practical in this context, and exceeding 333.33 would exceed budget).

3. Let `s` be the score Jessica needs on her last test.
- Scores on first 5 exams: 87, 81, 85, 90, 78
- Sum of first 5 scores: 87 + 81 + 85 + 90 + 78 = 421
- Total of 6 exams: 421 + s
- Average needed: ≥ 85
- Inequality: (421 + s) / 6 ≥ 85
- Multiply both sides by 6: 421 + s ≥ 510
- Subtract 421: s ≥ 89
- Jessica needs at least an 89 on her last test to qualify.