Students can practice translating real-world scenarios into mathematical inequalities with this comprehensive worksheet.

1. Let x be the number of boxes. Inequality: 300 + 25x ≤ 1000. Solving: 25x ≤ 700 → x ≤ 28. Maximum boxes: 28.

2. Let n be the number of nights. Inequality: 100n + 35 ≤ 500. Solving: 100n ≤ 465 → n ≤ 4.65. Since nights must be whole, maximum nights: 4.

3. Let j be the total juniors. Inequality: (1/3)j ≤ 37. Solving: j ≤ 111. Minimum juniors: 111.

4. Let c be calories per smoothie. Inequality: 875 + 3c < 2000. Solving: 3c < 1125 → c < 375. Each smoothie must have less than 375 calories.

5. Let x be the number. Inequality: 3x - 2 > 10. Solving: 3x > 12 → x > 4.

6. Let b be brother’s age. Ben’s age is 2b. Inequality: b + 2b < 81 → 3b < 81 → b < 27. Brother could be at most 26 years old.