Rational Applications Worksheets Grade 7

Ratios

Real-World Rationals

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

7 problems
  1. (-12)² ÷ 4 + 5 × (-3) = ?
  2. Matiu is recording the daily temperature changes in his city for a science project. On Monday at 8:00 AM, the temperature was -8°C. By noon, the temperature had risen by 14°C. Then, from noon to 6:00 PM, the temperature dropped by 6°C. Overnight from 6:00 PM to Tuesday at 6:00 AM, the temperature fell by 10°C. What was the temperature on Tuesday at 6:00 AM?
  3. Mason's bank account balance was -$127. He deposited $42 and then withdrew $57. What is his new balance?

…and 4 more problems

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Worksheet 2

7 problems
  1. Hana is monitoring the water level in a reservoir. The water level is measured in meters above sea level. On Monday, the level is -35 meters. Over the next three days, the level changes as follows: Tuesday it rises 47 meters, Wednesday it drops 12 meters, and Thursday it rises 28 meters. What is the water level in the reservoir on Thursday?
  2. (-3/4 + 2/3) × 12 = ?
  3. Aroha is tracking the temperature changes in her freezer over a week. On Monday, the temperature was -19°C. On Tuesday, the temperature dropped by 7°C. On Wednesday, it rose by 13°C. On Thursday, it dropped by 11°C. On Friday, it rose by 9°C. What is the final temperature in the freezer on Friday?

…and 4 more problems

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Worksheet 3

8 problems
  1. Emma is planning a road trip from her home in Chicago to visit her grandparents in St. Louis, a distance of 300 miles. Her car gets 25 miles per gallon on the highway. If gasoline costs $3.80 per gallon and she also needs to pay $12 in tolls for the entire trip, how much will Emma spend in total for gasoline and tolls?
  2. A square-shaped farm is drawn on a coordinate grid with corners at (-7, -7), (7, -7), (7, 7), and (-7, 7). A rectangular pond is placed inside the farm with corners at (-5, -3), (5, -3), (5, 3), and (-5, 3). What is the area of the farm that is NOT covered by the pond?
  3. Olivia is tracking her scuba diving depth. She starts at sea level (0 meters) and descends at a rate of 3 meters per minute for 7 minutes. Then she ascends 11 meters. Later, she descends another 5 meters. What is her final depth relative to sea level?

…and 5 more problems

Open & Print Worksheet 3

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