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Unit Rate worksheet

Grades 6–7 · CCSS 6.RP.A.3.b, 6.RP.A.2, 7.RP.A.1

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • What do you want to find?: Which of two prices is better
    • Option A price: $5
    • Option A quantity: 26
    • Option B price: $4.20
    • Option B quantity: 12

    Find: Better price

  2. Problem 2.
    • What do you want to find?: A rate per one unit
    • Amount: 145
    • What the amount counts (optional): miles
    • Per how many: 2.2
    • Unit it's measured in (optional): hours

    Find: Rate (miles for each 1 in hours)

  3. Problem 3.
    • What do you want to find?: A rate per one unit
    • Amount: 150
    • What the amount counts (optional): miles
    • Per how many: 2.4
    • Unit it's measured in (optional): hours

    Find: Rate (miles for each 1 in hours)

  4. Problem 4.
    • What do you want to find?: Which of two prices is better
    • Option A price: $4.20
    • Option A quantity: 18
    • Option B price: $2.90
    • Option B quantity: 18

    Find: Better price

  5. Problem 5.
    • What do you want to find?: Which of two prices is better
    • Option A price: $4.50
    • Option A quantity: 34
    • Option B price: $3
    • Option B quantity: 18

    Find: Better price

  6. Problem 6.
    • What do you want to find?: Which of two prices is better
    • Option A price: $5.40
    • Option A quantity: 24
    • Option B price: $3.40
    • Option B quantity: 16

    Find: Better price

  7. Problem 7.
    • What do you want to find?: A rate per one unit
    • Amount: 145
    • What the amount counts (optional): miles
    • Per how many: 2.4
    • Unit it's measured in (optional): hours

    Find: Rate (miles for each 1 in hours)

  8. Problem 8.
    • What do you want to find?: A rate per one unit
    • Amount: 100
    • What the amount counts (optional): miles
    • Per how many: 2.4
    • Unit it's measured in (optional): hours

    Find: Rate (miles for each 1 in hours)

  9. Problem 9.
    • What do you want to find?: A rate per one unit
    • Amount: 180
    • What the amount counts (optional): miles
    • Per how many: 2.1
    • Unit it's measured in (optional): hours

    Find: Rate (miles for each 1 in hours)

  10. Problem 10.
    • What do you want to find?: Which of two prices is better
    • Option A price: $5.60
    • Option A quantity: 28
    • Option B price: $2.20
    • Option B quantity: 18

    Find: Better price

Answer key: Unit Rate worksheet

  1. 1. Better price: Option A is the better price

    1. Divide Option A's price by its quantity to get the cost of one unit

      $5.0026=0.192308
    2. Do the same for Option B

      $4.2012=0.35
    3. Find the saving as a share of the higher cost

      (0.35−0.192308)0.35×100=45.054945%
    4. The lower cost per unit is the better price

      Option A is the better price
  2. 2. Rate (miles for each 1 in hours): 65.91

    1. A unit rate tells you how much goes with exactly one. Divide the amount by the number of units to scale down to one

      1452.2=65.909091
  3. 3. Rate (miles for each 1 in hours): 62.5

    1. A unit rate tells you how much goes with exactly one. Divide the amount by the number of units to scale down to one

      1502.4=62.5
  4. 4. Better price: Option B is the better price

    1. Divide Option A's price by its quantity to get the cost of one unit

      $4.2018=0.233333
    2. Do the same for Option B

      $2.9018=0.161111
    3. Find the saving as a share of the higher cost

      (0.233333−0.161111)0.233333×100=30.952381%
    4. The lower cost per unit is the better price

      Option B is the better price
  5. 5. Better price: Option A is the better price

    1. Divide Option A's price by its quantity to get the cost of one unit

      $4.5034=0.132353
    2. Do the same for Option B

      $3.0018=0.166667
    3. Find the saving as a share of the higher cost

      (0.166667−0.132353)0.166667×100=20.588235%
    4. The lower cost per unit is the better price

      Option A is the better price
  6. 6. Better price: Option B is the better price

    1. Divide Option A's price by its quantity to get the cost of one unit

      $5.4024=0.225
    2. Do the same for Option B

      $3.4016=0.2125
    3. Find the saving as a share of the higher cost

      (0.225−0.2125)0.225×100=5.555556%
    4. The lower cost per unit is the better price

      Option B is the better price
  7. 7. Rate (miles for each 1 in hours): 60.42

    1. A unit rate tells you how much goes with exactly one. Divide the amount by the number of units to scale down to one

      1452.4=60.416667
  8. 8. Rate (miles for each 1 in hours): 41.67

    1. A unit rate tells you how much goes with exactly one. Divide the amount by the number of units to scale down to one

      1002.4=41.666667
  9. 9. Rate (miles for each 1 in hours): 85.71

    1. A unit rate tells you how much goes with exactly one. Divide the amount by the number of units to scale down to one

      1802.1=85.714286
  10. 10. Better price: Option B is the better price

    1. Divide Option A's price by its quantity to get the cost of one unit

      $5.6028=0.2
    2. Do the same for Option B

      $2.2018=0.122222
    3. Find the saving as a share of the higher cost

      (0.2−0.122222)0.2×100=38.888889%
    4. The lower cost per unit is the better price

      Option B is the better price