Let's solve each of these
integer word problems step by step and explain the reasoning behind each answer.
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1. The temperature Thursday morning was 78 degrees. If the temperature rose 13 degrees by noon, what was the new temperature?
- Start: 78°F
- Rise: +13°F
- New temperature = 78 + 13 =
91°F
✔ Answer: 91 degrees
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2. A plane is flying at 26,294 feet. To avoid turbulence, it decreased in altitude by 7,395 feet. At what altitude is the plane now flying?
- Original altitude: 26,294 ft
- Decrease: –7,395 ft
- New altitude = 26,294 – 7,395 =
18,899 feet
✔ Answer: 18,899 feet
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3. During a football game, one team has 42 points and the other team has 21 points. What is the difference between the two scores?
- Difference = 42 – 21 =
21 points
✔ Answer: 21 points
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4. Tim had $362 in his bank account. He spent $54 then made a deposit of $82. How much money does Tim have in his bank account?
- Start: $362
- Spent: –$54 → 362 – 54 = 308
- Deposit: +$82 → 308 + 82 =
$390
✔ Answer: $390
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5. A group of hikers started at an elevation of 1,803 feet. A squid is swimming 300 feet below sea level. What is the distance between the hikers and the squid?
- Hikers: +1,803 ft (above sea level)
- Squid: –300 ft (below sea level)
- Distance = 1,803 – (–300) = 1,803 + 300 =
2,103 feet
✔ Answer: 2,103 feet
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6. Kim had -$124 in her bank account. She deposits $150 for her birthday. How much money does Kim have in her bank account?
- Start: –$124
- Deposit: +$150
- New balance = –124 + 150 =
$26
✔ Answer: $26
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7. Sam is on a game show with a score of -250. If he scores 450 points, what is his new score?
- Start: –250
- Add: +450
- New score = –250 + 450 =
200
✔ Answer: 200
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8. The temperature in Tulsa is 105 degrees and the temperature in Kenai is -15 degrees. What is the temperature difference between the two cities?
- Difference = 105 – (–15) = 105 + 15 =
120 degrees
✔ Answer: 120 degrees
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9. Brenda had a balance of -$52 in her account. The bank charged her a fee of $10 for having a negative balance. What is her new balance?
- Start: –$52
- Fee: –$10 (additional charge)
- New balance = –52 – 10 =
–$62
✔ Answer: A. -62.00
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10. A shark is swimming 45 feet below the surface of the ocean. A fish is swimming 13 feet below the shark. How far below the surface of the water is the fish?
- Shark: –45 feet
- Fish is 13 feet
below the shark → –45 – 13 =
–58 feet
So the fish is
58 feet below the surface.
✔ Answer: 58 feet
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✔ Final Answers Summary:
1.
91°F
2.
18,899 feet
3.
21 points
4.
$390
5.
2,103 feet
6.
$26
7.
200
8.
120 degrees
9.
A. -62.00
10.
58 feet
Let me know if you'd like these explained in a printable format or need help with more problems!
Parent Tip: Review the logic above to help your child master the concept of integers word problems worksheet pdf.
