One Variable Inequalities Notes and Worksheets - Lindsay Bowden - Free Printable

1. Let x be the number of boxes. The inequality is 300 + 25x ≤ 1000. Subtract 300 from both sides: 25x ≤ 700. Divide by 25: x ≤ 28. The maximum number of boxes is 28.

2. Let n be the number of nights. The inequality is 100n + 35 ≤ 500. Subtract 35 from both sides: 100n ≤ 465. Divide by 100: n ≤ 4.65. Since George can only stay whole nights, the maximum is 4 nights.

3. Let j be the total number of juniors. The inequality is (1/3)j ≤ 37. Multiply both sides by 3: j ≤ 111. The minimum number of juniors is 111.

4. Let c be the calories per smoothie. The inequality is 875 + 3c < 2000. Subtract 875 from both sides: 3c < 1125. Divide by 3: c < 375. Each smoothie must have less than 375 calories.

5. Let x be the number. The inequality is 3x - 2 > 10. Add 2 to both sides: 3x > 12. Divide by 3: x > 4.

6. Let b be the brother’s age. Ben’s age is 2b. The inequality is b + 2b < 81. Combine like terms: 3b < 81. Divide by 3: b < 27. Ben’s brother could be any age less than 27.