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Lesson 50: Unit Multipliers and Unit Conversion — Practice Questions

  1. 1. A recipe calls for a wire rack that is 1.5 feet long. How long is the rack in inches? (Given: $1 \text{ ft} = 12 \text{ in}$) The length is ___ inches.

  2. 2. To convert a weight of 80 ounces to pounds, which unit multiplier should be used? (Given: $1 \text{ lb} = 16 \text{ oz}$)

    • A. $\frac{16 \text{ oz}}{1 \text{ lb}}$
    • B. $\frac{1 \text{ lb}}{16 \text{ oz}}$
    • C. $\frac{80 \text{ oz}}{1 \text{ lb}}$
    • D. $\frac{1 \text{ lb}}{80 \text{ oz}}$
  3. 3. A student spent 210 minutes working on a project. How many hours did the student work? (Given: $1 \text{ hour} = 60 \text{ minutes}$) The student worked for ___ hours.

  4. 4. A trip is planned to last for 2 full days. How many minutes long is the trip? (Use $1 \text{ day} = 24 \text{ hours}$ and $1 \text{ hour} = 60 \text{ minutes}$)

    • A. 84 minutes
    • B. 1440 minutes
    • C. 2880 minutes
    • D. 120 minutes
  5. 5. A cyclist rides a distance of 5.5 kilometers. How many meters is that? (Given: $1 \text{ kilometer} = 1000 \text{ meters}$)

    • A. 55 meters
    • B. 550 meters
    • C. 5500 meters
    • D. 0.0055 meters
  6. 6. Given the equivalence statement $1 \text{ pound} = 16 \text{ ounces}$, what are the two correct unit multipliers you can create from this fact?

    • A. $\frac{16 \text{ oz}}{1 \text{ lb}}$ and $\frac{1 \text{ lb}}{16 \text{ oz}}$
    • B. $\frac{1 \text{ oz}}{16 \text{ lb}}$ and $\frac{16 \text{ lb}}{1 \text{ oz}}$
    • C. $\frac{16 \text{ oz}}{1 \text{ lb}}$ and $\frac{16 \text{ lb}}{1 \text{ oz}}$
    • D. $\frac{1 \text{ lb}}{1 \text{ oz}}$ and $\frac{16 \text{ oz}}{16 \text{ lb}}$
  7. 7. A piece of fabric is 7 yards long. Using the equivalence $1 \text{ yard} = 3 \text{ feet}$, convert the length of the fabric to feet. The fabric is ___ feet long.

  8. 8. To convert a measurement of 80 ounces to pounds, which unit multiplier must you use to ensure the 'ounces' unit cancels out? (Given $1 \text{ lb} = 16 \text{ oz}$)

    • A. $\frac{16 \text{ oz}}{1 \text{ lb}}$
    • B. $\frac{1 \text{ lb}}{16 \text{ oz}}$
    • C. $\frac{80 \text{ oz}}{1 \text{ lb}}$
    • D. $\frac{1 \text{ lb}}{80 \text{ oz}}$
  9. 9. A hallway is 48 feet long. Use a unit multiplier to convert this length into yards. The hallway is ___ yards long. (Given $1 \text{ yard} = 3 \text{ feet}$)

  10. 10. A unit multiplier must be a fraction equal to 1. Which of the following is NOT a valid unit multiplier because it is not based on a true equivalence statement?

    • A. $\frac{1 \text{ ft}}{12 \text{ in}}$
    • B. $\frac{16 \text{ oz}}{1 \text{ lb}}$
    • C. $\frac{1 \text{ yd}}{3 \text{ ft}}$
    • D. $\frac{12 \text{ ft}}{1 \text{ yd}}$