1.6: Practice Problems
- Page ID
- 139260
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1. Use the Factor-Label Method to determine the number of inches in 8 feet.
2. Use the Factor-Label Method to determine the number of feet in 5 yards.
3. Use the Factor-Label Method to determine the number of inches in 6 yards.
4. Use the Factor-Label Method to determine the number of yards in 108 inches.
5. Use the Factor-Label Method to determine the number of yards in 203.1 miles. Round your answer to the nearest hundredth.
6. Use the Factor-Label Method to determine the number of inches in 275.2 miles.
7. The length of one student desk is 22 inches. If you line up 5 desks, what is the total length of the desks in feet?
8. You want to arrange your dorm room so that the length of your bed and the length of your desk are next to each other along the wall. Your bed is 80 inches long and your desk is 3 feet and 5 inches long. What is the total length of your bed and desk in feet?
9. Use the Factor-Label Method to determine the number of ounces in 4 pounds
10. Use the Factor-Label Method to determine the number of pounds in 38 ounces. Round your answer to the nearest hundredth.
11. Use the Factor-Label Method to determine the number of tons in 413 ounces. Round your answer to the nearest thousandth.
12. Amy bought 5 lbs. 5 oz. of turkey cold cuts and 3 lbs. 15 oz. of ham cold cuts. How much did she buy in total? (You should convert any ounces over 15 into pounds).
13. Leslie had twin girls – the first baby weighed 5 lbs. 14 oz. and the second baby weighed 6 lbs. 4 oz. How much did the twin baby girls weigh together? (You should convert any ounces over 15 into pounds).
14. Use the Factor-Label Method to determine the number of gallons in 48 cups.
15. Use the Factor-Label Method to determine the number of cups in 912 gallons.
16. Use the Factor-Label Method to determine the number of fluid ounces in 9 quarts.
17. Betty brought one gallon of iced tea to a potluck and Denis brought 3 quarts of iced tea to the potluck. How many cups of iced tea are at the potluck?
18. Natasha is heating up four 18-fluid ounce cans of soup on her stovetop. What is the smallest pot she can use if she has a 2-quart, 3-quart, and 5-quart saucepan?
19. Use the Factor-Label Method to determine the number of inches in 6 centimeters.
20. Use the Factor-Label Method to determine the number of centimeters in 4.5 inches.
21. Use the Factor-Label Method to determine the number of yards in 350 meters.
22. Use the Factor-Label Method to determine the number of kilometers in 7.2 miles.
23. Use the Factor-Label Method to determine the number of kilograms in 165 pounds.
24. Use the Factor-Label Method to determine the number of pounds in 0.8 kilograms.
25. Use the Factor-Label Method to determine the number of liters in 16 gallons.
26. An Olympic sprinter competes in the 400 meter dash. How many feet is the race?
27. Convert a temperature of 54℉ to degrees Celsius.
28. Convert a temperature of 75℉ to degrees Celsius.
29. Convert a temperature of −12℃ to degrees Fahrenheit.
30. Convert a temperature of 37℃ to degrees Fahrenheit.
31. You arrive in Paris with $800. How many Euros do you have to spend? ($1 = 0.9033 euros as of November, 2016)
32. A bicyclist is traveling at 540 feet in 30 seconds. Express this as a rate and as a unit rate, in feet per second.
33. Your car can drive 380 miles on a tank of 22 gallons.
a. How far can it drive on 50 gallons? Round your answer to the nearest hundredth.
b. How many gallons are needed to drive 650 miles? Round your answer to the nearest hundredth.
34. A bicycle is traveling at 16 miles per hour. How many feet will it cover in 40 seconds? Round your answer to the nearest tenth of a foot.
35. A car is traveling 33 miles per hour. How many feet will the car travel in 6 seconds? Round your answer to the nearest tenth of a foot.
36. A car is traveling at 60 kilometers per hour. How many meters does it travel in 4 seconds?
37. A car is driving at 100 kilometers per hour. How many meters does it travel in 2 seconds?
38. A chain weighs 10 pounds per foot. How many ounces will 4 inches weigh?
39. One 16-ounce can of vegetable soup costs \(\$ 1.34\). One quart of vegetable soup costs \(\$ 3.49\). Which option is less expensive?
40. An 8-foot length of 4 inch wide crown molding costs \(\$ 14\). How much will it cost to buy 40 feet of crown molding?
41. A wire costs \(\$ 2\) per meter. How much will 3 kilometers of wire cost?
42. A recipe for blueberry muffins states that it yields 12 muffins, with 270 calories per muffin. You instead decide to make mini-muffins, and the recipe yields 20 minimuffins. If you eat 6 mini-muffins, how many calories will you consume?
43. Four 3-megawatt wind turbines can supply enough electricity to power 3000 homes. How many turbines would be required to power 55,000 homes?
44. A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?
45. You read online that a 15 -foot by 20 -foot brick patio would cost about \(\$ 2,275\) to have professionally installed. Estimate the cost of having an 18 -foot by 22 -foot brick patio installed. Round your answer to the nearest dollar.
46. The store is selling lemons at 2 for \(\$ 1\). Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make a 9-inch lemon pie requiring half a cup of lemon juice? ( 1 cup \(=16\) tablespoons)
47. When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5 milligrams \((\mathrm{mg})\) per kilogram \((\mathrm{kg})\) of body weight. How much medicine would be a usual dose for an 18 month old weighing 28 pounds? Round your answer to the nearest milligram. \((1 \mathrm{~kg}=2.2\) pounds \()\)
48. It is estimated that a driver takes, on average, 1.5 seconds from seeing an obstacle to reacting by applying the brake or swerving. How far will a car, traveling at 60 miles per hour, travel in feet before the driver reacts to an obstacle?
49. Sound travels about 750 miles per hour. If you stand in a canyon and sound a horn, you will hear an echo. Suppose it takes about 3 seconds to hear the echo. How far away is the canyon wall, in feet?
50. It takes a hose 2 minutes to fill a rectangular aquarium 9 inches long, 10 inches wide, and 13 inches tall. How long will it take the same hose to fill an aquarium measuring 21 inches by 27 inches by 35 inches? Round your answer to the nearest minute.
51. You want to put a 2-inch thick layer of topsoil for a new 20-foot by 30 -foot garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? Round you answer to the nearest tenth.
52. Gasoline in Paris costs 1.32 euros per liter. What is the price of gas in dollars per gallon? \((\$ 1=0.9033\) euros as of November, 2016)
53. A 0.75 liter bottle of wine costs 83 euros. What is the price of the wine in dollars per ounce? \((\$ 1=0.9033\) euros as of November, 2016)