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Mastering Unit Rates and Proportional Relationships

Learn to calculate unit rates, solve proportional relationships, and identify constant rates of change. Understand complex fractions and direct variation.

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Mastering Unit Rates and Proportional Relationships

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  1. Ratios and Proportional Relationships Chapter 1

  2. Unit Rates and Complex Fractions Proportional and Nonproportional Relationships Solving Proportional Relationships Constant Rate of Change Slope and Direct Variation Convert Unit Rates FinalJeopardy

  3. Find the Unit Rate. Round to the nearest hundredth if necessary. 88 students for 4 class 1 min. Unit Rates and Complex Fractions Category 1 22 students per class GAME BOARD

  4. Find the Unit Rate. Round to the nearest hundredth if necessary. 549 cars on 9 acres 1 min. Unit Rates and Complex Fractions 61 cars per acre GAME BOARD

  5. Simplify 1 min. Unit Rates and Complex Fractions Category 1 GAME BOARD

  6. Simplify 1 min. Unit Rates and Complex Fractions Category 1 27 GAME BOARD

  7. Danny can jog miles in hour. Find his average speed in miles per hour. 2 min. Unit Rates and Complex Fractions Category 1 mph GAME BOARD

  8. Convert the rate. Round to the nearest hundredth if necessary. 110 mi/h = _________ mi/day Convert Unit Rates 1 min. 30 sec. 2,640 mi/day GAME BOARD

  9. Convert the rate. Round to the nearest hundredth if necessary. 22 lb/day ≈ _________ oz/h Convert Unit Rates 1 min. 30 sec. 14.7 oz/h GAME BOARD

  10. Convert the rate. Round to the nearest hundredth if necessary. 720 pt/h ≈ _________ qt/min Convert Unit Rates 1 min. 30 sec. 6 qt/min GAME BOARD

  11. A pool is being drained at a rate of 120 gallons per minute. What is this rate in quarts per hour? Convert Unit Rates 2 min. 28,800 qt/h GAME BOARD

  12. The Green family drinks 2 quarts of milk per day. How many gallons of milk do they drink in a week? Convert Unit Rates 2 min. 3.5 gal/wk GAME BOARD

  13. Proportional or Nonproportional? Proportional and Nonproportional Relationships 45 sec. Proportional GAME BOARD

  14. Proportional or Nonproportional? Proportional and Nonproportional Relationships 45 sec. Nonproportional GAME BOARD

  15. Proportional or Nonproportional? Proportional and Nonproportional Relationships Chips Cost ($) 30 sec. Bags of Chips Proportional GAME BOARD

  16. The fastest mammal on earth, a cheetah, runs at a rate of 75 miles per hour. Is the distance a cheetah runs proportional to the number of hours it runs? Proportional and Nonproportional Relationships 1 min. Yes GAME BOARD

  17. A math club has 5 members for every team, with the exception of four teams that have 7 members each. Is the number of players proportional to the number of teams? Proportional and Nonproportional Relationships 2 min. No GAME BOARD

  18. Solve. Solving Proportional Relationships 1 min. a = 5 GAME BOARD

  19. Solve. Solving Proportional Relationships 1 min. y = 30 GAME BOARD

  20. Solve. Solving Proportional Relationships 1 min. x = 7 GAME BOARD

  21. About 18 out of 26 homes have a computer. On a street with 65 homes, how many would you expect to have a computer? Solving Proportional Relationships 1 min. 30 sec. 45 homes GAME BOARD

  22. A grading machine can grade 32 multiple-choice tests in 1 minute. How long will it take the machine to grade 200 tests? Solving Proportional Relationships 2 min. 6.25 min. GAME BOARD

  23. Find the Constant Rate of Change Constant Rate of Change 1 min. 2 °F per hour GAME BOARD

  24. Find the Constant Rate of Change Constant Rate of Change 1 min. $10 per hour GAME BOARD

  25. Find the Constant Rate of Change Constant Rate of Change 1 min. -5 °F per hour GAME BOARD

  26. Amy is depositing money into a bank account. After 3 months there is $135 in the account. After 6 months, there is $270 in the account. Find the constant rate of change of the account. Constant Rate of Change 2 min. Increasing by $45 per month GAME BOARD

  27. At 1 P.M., the level of the water in the pool was 12 feet. At 5 P.M., the level of water was 4 feet. Find the constant rate of change of the water. Constant Rate of Change 2 min. Decreasing 2 feet per hour GAME BOARD

  28. Slope and Direct Variation The line represents the length and height of a skateboard ramp. Find the slope of the ramp. 1 min. GAME BOARD

  29. Use the table to find the slope. Explain what the slope represents. Slope and Direct Variation 45 sec. 13; $13 per hour GAME BOARD

  30. Slope and Direct Variation Use the graph that shows the number of laps completed over time. Find the slope of the line. 1 min. GAME BOARD

  31. Determine whether the linear function is a direct variation. If so, state the constant of proportionality. Slope and Direct Variation 1 min. Yes, 5 GAME BOARD

  32. . The number of home theaters a company sells varies directly as the money spent on advertising. How many home theaters does the company sell for each $500 spent on advertising? Slope and Direct Variation 2 min. 8 GAME BOARD

  33. If y varies directly with x, write an equation for the direct variation. Then find the value. If y = –4 when x = 10, find y when x = 5 500 points 2 min. GAME BOARD

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