Measurement: Get Stronger Answer Key

Make Unit Conversions in the U.S. System

  1. [latex]24[/latex] inches
  2. [latex]3.75[/latex] feet
  3. [latex]58[/latex] inches
  4. [latex]90[/latex] feet
  5. [latex]0.98[/latex] miles
  6. [latex]300,000[/latex] pounds
  7. [latex]110[/latex] tons
  8. [latex]111[/latex] ounces
  9. [latex]31.25[/latex] gallons

Use Mixed Units of Measurement in the U.S. System

  1.  
  2. [latex]4[/latex] lbs. [latex]1[/latex] oz.
  3.  
  4. [latex]9[/latex] ft [latex]2[/latex] in
  5.  
  6. [latex]8[/latex] yards

Make Unit Conversions in the Metric System

  1.  
  2. [latex]8000[/latex] meters
  3.  
  4. [latex]245[/latex] centimeters
  5.  
  6. [latex]10.911[/latex] kilometers
  7.  
  8. [latex]3000[/latex] milligrams
  9.  
  10. [latex]25,000[/latex] milligrams
  11.  
  12. [latex]3800[/latex] grams
  13.  
  14. [latex]0.3[/latex] liters

Use Mixed Units of Measurement in the Metric System

  1.  
  2. [latex]65[/latex] centimeters
  3.  
  4. [latex]1.82[/latex] kilograms
  5.  
  6. [latex]16.8[/latex] grams
  7.  
  8. [latex]42,000[/latex] milligrams

Convert Between U.S. and Metric Systems

  1.  
  2. [latex]106.7[/latex] centimeters
  3.  
  4. [latex]8.2[/latex] meters
  5.  
  6. [latex]41,500[/latex] kilograms
  7.  
  8. [latex]5.2[/latex] feet
  9.  
  10. [latex]33[/latex] pounds
  11.  
  12. [latex]30.4[/latex] liters

Convert between Fahrenheit and Celsius

  1.  
  2. [latex]25[/latex]°C
  3.  
  4. [latex]−10[/latex]°C
  5.  
  6. [latex]−15.5[/latex]°C
  7.  
  8. [latex]48.9[/latex]°C

In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

  1.  
  2. [latex]77[/latex]°F
  3.  
  4. [latex]5[/latex]°F
  5.  
  6. [latex]46.4[/latex]°F
  7.  
  8. [latex]60.8[/latex]°F

Systems of Measurement

In the following exercises, convert between U.S. units. Round to the nearest tenth.

  1.  
  2. [latex]3.5[/latex] feet
  3.  
  4. [latex]15[/latex] yards
  5.  
  6. [latex]9000[/latex] pounds
  7.  
  8. [latex]64[/latex] tablespoons
  9.  
  10. [latex]1.9[/latex] gallons

In the following exercises, solve, and state your answer in mixed units.

  1.  
  2. [latex]7[/latex] hours [latex]10[/latex] minutes
  3.  
  4. [latex]3[/latex] yards, [latex]12[/latex] inches

In the following exercises, convert between metric units.

  1.  
  2. [latex]8.85[/latex] kilometers
  3.  
  4. [latex]13,000[/latex] milligrams
  5.  
  6. [latex]0.65[/latex] liters

Write a Ratio as a Fraction

  1. [latex]\Large\frac{5}{9}[/latex]
  2. [latex]\Large\frac{7}{8}[/latex]
  3. [latex]\Large\frac{7}{3}[/latex]
  4. [latex]\Large\frac{7}{3}[/latex]
  5. [latex]\Large\frac{1}{5}[/latex]
  6. [latex]\Large\frac{10}{17}[/latex]
  7. [latex]\Large\frac{5}{4}[/latex]
  8. [latex]\Large\frac{2}{7}[/latex]
  9. [latex]\Large\frac{11}{4}[/latex]
  10. [latex]\Large\frac{1}{3}[/latex]
  11. [latex]\Large\frac{6}{23}[/latex]
  12. [latex]\Large\frac{82}{15}[/latex]
  13. [latex]\Large\frac{35}{9}[/latex]
  14. [latex]\Large\frac{9}{4}[/latex]
  15. [latex]\Large\frac{7}{4}[/latex]
  16. [latex]\Large\frac{2}{3}[/latex]
  17. [latex]\Large\frac{4}{9}[/latex]
  18. [latex]\Large\frac{7}{9}[/latex]

Write a Rate as a Fraction

  1. [latex]\Large\frac{\text{35 calories}}{\text{3 ounces}}[/latex]
  2. [latex]\Large\frac{\text{41 lbs}}{\text{15 sq. in}.}[/latex]
  3. [latex]\Large\frac{\text{488 miles}}{7 \text{ hours}}[/latex]
  4. [latex]\Large\frac{{$119}}{{8 \text{ hours}}}[/latex]
  5. [latex]\Large\frac{90\text{ pounds}}{7.5\text{square inches}}[/latex]
  6. [latex]\Large\frac{$612.50}{35\text{ hours}}[/latex]

Find Unit Rates

  1. [latex]11.67[/latex] calories/ounce
  2. [latex]2.73[/latex] lbs./sq. in.
  3. [latex]69.71[/latex] mph
  4. [latex]$14.88[/latex] /hour
  5. [latex]32[/latex] mpg
  6. [latex]2.69[/latex] lbs./week
  7. [latex]92[/latex] beats/minute
  8. [latex]12[/latex] pounds/sq.in.
  9. [latex]$17.50[/latex] /hour

Find Unit Price

  1. [latex]$1.09[/latex]/bar
  2. [latex]$1.33[/latex]/pair
  3. [latex]$0.48[/latex]/pack
  4. [latex]$0.42[/latex]
  5. [latex]$1.65[/latex]
  6. The [latex]50.7[/latex]-ounce size costs $[latex]0.138[/latex] per ounce. The [latex]33.8[/latex]-ounce size costs [latex]$0.142[/latex] per ounce. The [latex]50.7[/latex]-ounce size is the better buy.
  7. The 18-ounce size costs [latex]$0.222[/latex] per ounce. The [latex]14[/latex]-ounce size costs [latex]$0.235[/latex] per ounce. The [latex]18[/latex]-ounce size is a better buy.
  8. The regular bottle costs [latex]$0.075[/latex] per ounce. The squeeze bottle costs [latex]$0.069[/latex] per ounce. The squeeze bottle is a better buy.
  9. The half-pound block costs [latex]$6.78[/latex]/lb, so the [latex]1[/latex]-lb. block is a better buy.
  10. [latex]$0.11[/latex], [latex]$0.12[/latex]; 60 tablets for [latex]$6.49[/latex]