Let’s solve each problem step by step. These are
integer word problems, so we’ll use addition and subtraction of positive and negative integers.
---
1. The temperature Thursday morning was 78 degrees. If the temperature rose 13 degrees by noon, what was the new temperature?
- Rising means adding.
-
78 + 13 = 91
✔ Answer: 91 degrees
---
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?
- Decreased means subtracting.
-
26,294 – 7,395 = 18,899
✔ Answer: 18,899 feet
---
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 = larger – smaller
-
42 – 21 = 21
✔ Answer: 21 points
---
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 → subtract: 362 – 54 = 308
- Deposited $82 → add: 308 + 82 = 390
✔ Answer: $390
---
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 = |1803 – (-300)| = |1803 + 300| = 2,103
✔ Answer: 2,103 feet
---
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
-
-124 + 150 = 26
✔ Answer: $26
---
7. Sam is on a game show with a score of -250. If he scores 450 points, what is his new score?
- Start: -250
- Adds 450:
-250 + 450 = 200
✔ Answer: 200 points
---
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
✔ Answer: 120 degrees
---
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: subtract another 10 →
-52 – 10 = -62
✔ Answer: A) -62.00
*(Note: Options are given — correct choice is A)*
---
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 ft below → position = -45
- Fish is 13 ft *below* shark → -45 – 13 = -58
- So fish is
58 feet below surface
✔ Answer: 58 feet
---
✔ Final Answers Summary:
1.
91
2.
18,899
3.
21
4.
390
5.
2,103
6.
26
7.
200
8.
120
9.
A) -62.00
10.
58
Let me know if you’d like these explained differently or need help with more!
Parent Tip: Review the logic above to help your child master the concept of free integer word problems worksheet.
