Form 8: Word Problems - Scores and Quantities Exercise

Form 8: Word Problems - Scores and Quantities

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Form 8: Word Problems - Scores and Quantities

Solve word problems related to test scores and item quantities using two-step inequalities. Translate given scenarios into algebraic inequalities to find valid solutions.

Questions

  1. MultiChoice

    A student has 80 points and scores 5 points per bonus question. Target: at least 105. Inequality: 5q + 80 >= 105. Solve.

  2. MultiChoice

    A elevator holds 200 lbs plus 150 lbs per person. Limit: 1100 lbs max. Solve 150p + 200 <= 1100.

  3. MultiChoice

    A crate weighs 10 kg empty, plus 4 kg per box. Max total weight is 50 kg. Solve 4b + 10 <= 50.

  4. MultiChoice

    A bowler scores 110 in game 1. Each strike adds 30 points. Target score: over 200. Solve 30s + 110 > 200.

  5. MultiChoice

    A container has 50 gallons and drains at 3 gallons per minute. Keep at least 14 gallons. Solve 50 - 3m >= 14.

  6. MultiChoice

    A basketball team scored 40 points in 1st half and scores 2 points per free throw in 2nd half. Total at least 70: 2f + 40 >= 70.

  7. MultiChoice

    A taxi charges $3 flat fee plus $2 per mile. You have $25. Max miles m for 2m + 3 <= 25?

  8. MultiChoice

    A bucket has 5 liters of water. Adding 0.5 liters per second, when will it hold at least 15 liters? Solve 0.5s + 5 >= 15.

  9. MultiChoice

    A test has 10 base points and 4 points per correct answer. Needed: over 82 points. Solve 4c + 10 > 82.

  10. MultiChoice

    A truck already carries 500 kg and adds 50 kg bags. Total cannot exceed 1500 kg. Solve 50b + 500 <= 1500.

  11. MultiChoice

    An artist needs at least 90 minutes. She spent 30 minutes set up and spends 15 minutes per print. Solve 15p + 30 >= 90.

  12. MultiChoice

    A tank holds 80 liters and loses 6 liters per hour. Needs to stay above 20 liters. Solve 80 - 6h > 20.