Integer word problems worksheet for addition and subtraction practice.
A worksheet titled "Word Problems: Integers" featuring five math word problems involving addition and subtraction of integers, with a section for time tracking and performance metrics at the bottom.
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Step-by-step solution for: Word Problems - Integer Mixed Operations (addition and subtraction ...
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Show Answer Key & Explanations
Step-by-step solution for: Word Problems - Integer Mixed Operations (addition and subtraction ...
Let's solve each problem step by step:
---
Julian is moving from his hometown of Sedona, Arizona, to Juneau, Alaska. He knows he is going to face a big temperature change, and he is getting ready. The hottest it gets in Sedona is 112 degrees F. The hottest it gets in Juneau is 72 degrees F. Approximately what temperature change will Julian experience?
#### Solution:
To find the temperature change, we subtract the highest temperature in Juneau from the highest temperature in Sedona:
\[
\text{Temperature change} = \text{Highest temperature in Sedona} - \text{Highest temperature in Juneau}
\]
\[
\text{Temperature change} = 112^\circ \text{F} - 72^\circ \text{F} = 40^\circ \text{F}
\]
#### Answer:
\[
\boxed{40}
\]
---
Abraham is spending a day at the hotel pool. He enjoys jumping from the very cool pool (62 degrees) to the very hot Jacuzzi (113 degrees). What temperature change is Abraham experiencing as he moves from pool to Jacuzzi?
#### Solution:
To find the temperature change, we subtract the temperature of the pool from the temperature of the Jacuzzi:
\[
\text{Temperature change} = \text{Temperature of Jacuzzi} - \text{Temperature of pool}
\]
\[
\text{Temperature change} = 113^\circ \text{F} - 62^\circ \text{F} = 51^\circ \text{F}
\]
#### Answer:
\[
\boxed{51}
\]
---
Zack just got a grade of 93 on a report. However, because he turned it in late, his teacher is going to deduct 15 points. What will Zack’s final score on the report be?
#### Solution:
To find Zack's final score, we subtract the deduction from his original grade:
\[
\text{Final score} = \text{Original grade} - \text{Deduction}
\]
\[
\text{Final score} = 93 - 15 = 78
\]
#### Answer:
\[
\boxed{78}
\]
---
On Monday, Taylor lost 20 dollars to Zack when playing a card game. He was angry that he had lost, so he kept playing. On Tuesday, Taylor lost another 5 dollars. On Wednesday, he neither lost nor won. On Thursday, Taylor lost another 7 dollars. By then, Taylor had lost all of his savings. How much money did Taylor have before he started playing?
#### Solution:
To find out how much money Taylor had initially, we need to sum up all the amounts he lost and recognize that this total equals his initial amount of money.
- Loss on Monday: $20
- Loss on Tuesday: $5
- Loss on Wednesday: $0
- Loss on Thursday: $7
Total loss:
\[
\text{Total loss} = 20 + 5 + 0 + 7 = 32
\]
Since Taylor lost all his savings, his initial amount of money must have been equal to the total loss:
\[
\text{Initial amount} = 32
\]
#### Answer:
\[
\boxed{32}
\]
---
Imani got a notice from the bank saying that she had overspent, so her account balance was -$43. She wrote an additional check for $50 after she overdrawn her account. What will be Imani’s bank account balance once the new check goes through?
#### Solution:
Imani's current account balance is -$43. When she writes a check for $50, this will further decrease her balance by $50. To find the new balance, we subtract $50 from -$43:
\[
\text{New balance} = \text{Current balance} - \text{Check amount}
\]
\[
\text{New balance} = -43 - 50 = -93
\]
#### Answer:
\[
\boxed{-93}
\]
---
1. \(\boxed{40}\)
2. \(\boxed{51}\)
3. \(\boxed{78}\)
4. \(\boxed{32}\)
5. \(\boxed{-93}\)
---
Problem 1:
Julian is moving from his hometown of Sedona, Arizona, to Juneau, Alaska. He knows he is going to face a big temperature change, and he is getting ready. The hottest it gets in Sedona is 112 degrees F. The hottest it gets in Juneau is 72 degrees F. Approximately what temperature change will Julian experience?
#### Solution:
To find the temperature change, we subtract the highest temperature in Juneau from the highest temperature in Sedona:
\[
\text{Temperature change} = \text{Highest temperature in Sedona} - \text{Highest temperature in Juneau}
\]
\[
\text{Temperature change} = 112^\circ \text{F} - 72^\circ \text{F} = 40^\circ \text{F}
\]
#### Answer:
\[
\boxed{40}
\]
---
Problem 2:
Abraham is spending a day at the hotel pool. He enjoys jumping from the very cool pool (62 degrees) to the very hot Jacuzzi (113 degrees). What temperature change is Abraham experiencing as he moves from pool to Jacuzzi?
#### Solution:
To find the temperature change, we subtract the temperature of the pool from the temperature of the Jacuzzi:
\[
\text{Temperature change} = \text{Temperature of Jacuzzi} - \text{Temperature of pool}
\]
\[
\text{Temperature change} = 113^\circ \text{F} - 62^\circ \text{F} = 51^\circ \text{F}
\]
#### Answer:
\[
\boxed{51}
\]
---
Problem 3:
Zack just got a grade of 93 on a report. However, because he turned it in late, his teacher is going to deduct 15 points. What will Zack’s final score on the report be?
#### Solution:
To find Zack's final score, we subtract the deduction from his original grade:
\[
\text{Final score} = \text{Original grade} - \text{Deduction}
\]
\[
\text{Final score} = 93 - 15 = 78
\]
#### Answer:
\[
\boxed{78}
\]
---
Problem 4:
On Monday, Taylor lost 20 dollars to Zack when playing a card game. He was angry that he had lost, so he kept playing. On Tuesday, Taylor lost another 5 dollars. On Wednesday, he neither lost nor won. On Thursday, Taylor lost another 7 dollars. By then, Taylor had lost all of his savings. How much money did Taylor have before he started playing?
#### Solution:
To find out how much money Taylor had initially, we need to sum up all the amounts he lost and recognize that this total equals his initial amount of money.
- Loss on Monday: $20
- Loss on Tuesday: $5
- Loss on Wednesday: $0
- Loss on Thursday: $7
Total loss:
\[
\text{Total loss} = 20 + 5 + 0 + 7 = 32
\]
Since Taylor lost all his savings, his initial amount of money must have been equal to the total loss:
\[
\text{Initial amount} = 32
\]
#### Answer:
\[
\boxed{32}
\]
---
Problem 5:
Imani got a notice from the bank saying that she had overspent, so her account balance was -$43. She wrote an additional check for $50 after she overdrawn her account. What will be Imani’s bank account balance once the new check goes through?
#### Solution:
Imani's current account balance is -$43. When she writes a check for $50, this will further decrease her balance by $50. To find the new balance, we subtract $50 from -$43:
\[
\text{New balance} = \text{Current balance} - \text{Check amount}
\]
\[
\text{New balance} = -43 - 50 = -93
\]
#### Answer:
\[
\boxed{-93}
\]
---
Final Answers:
1. \(\boxed{40}\)
2. \(\boxed{51}\)
3. \(\boxed{78}\)
4. \(\boxed{32}\)
5. \(\boxed{-93}\)
Parent Tip: Review the logic above to help your child master the concept of free integer word problems worksheet.