DIGITAL MATH Adding and Subtracting Integers Word Problems ... - Free Printable

The image contains a worksheet titled "Adding & Subtracting Integers Word Problems." Below is the solution to each problem, along with an explanation of how to solve them.

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Problem 1:

A hot air balloon flies 350 feet into the air. Then, it descends 129 feet. Where is the hot air balloon flying now?

Solution:
- Initial height = 350 feet
- Descent = -129 feet (negative because it's descending)
- Final height = Initial height + Descent
\[
350 + (-129) = 350 - 129 = 221 \text{ feet}
\]

Answer: The hot air balloon is flying at 221 feet.

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Problem 2:

Chad owed his Dad $15. Then, he paid his Dad $8. Later, he borrowed another $9. What integer represents Chad’s debt now?

Solution:
- Initial debt = -$15 (negative because it's a debt)
- Payment = +$8 (positive because he paid money)
- Borrowed amount = +$9 (positive because he borrowed more money)
- Final debt = Initial debt + Payment + Borrowed amount
\[
-15 + 8 + 9 = -7
\]

Answer: Chad’s debt now is -$7.

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Problem 3:

The quarterback gained 17 yards in the first play. Then, he lost 4 yards. Next, he gained 5 yards. What was the quarterback’s total change in yardage?

Solution:
- First gain = +17 yards
- Loss = -4 yards
- Second gain = +5 yards
- Total change = First gain + Loss + Second gain
\[
17 + (-4) + 5 = 17 - 4 + 5 = 18 \text{ yards}
\]

Answer: The quarterback’s total change in yardage is 18 yards.

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Problem 4:

Mrs. Smith’s checking account had a balance of $258. She withdrew $112 from her account. What is Mrs. Smith’s new checking account balance?

Solution:
- Initial balance = $258
- Withdrawal = -$112 (negative because she withdrew money)
- New balance = Initial balance + Withdrawal
\[
258 + (-112) = 258 - 112 = 146
\]

Answer: Mrs. Smith’s new checking account balance is $146.

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Problem 5:

An airplane is 1,320 feet above sea level. Then, it ascends another 500 feet. What integer represents the total altitude of the airplane?

Solution:
- Initial altitude = 1,320 feet
- Ascension = +500 feet (positive because it's ascending)
- Total altitude = Initial altitude + Ascension
\[
1,320 + 500 = 1,820 \text{ feet}
\]

Answer: The total altitude of the airplane is 1,820 feet.

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Problem 6:

Laura had $135 in her savings account at the bank. Then, she withdrew $35. What is left in her savings account now?

Solution:
- Initial savings = $135
- Withdrawal = -$35 (negative because she withdrew money)
- Remaining savings = Initial savings + Withdrawal
\[
135 + (-35) = 135 - 35 = 100
\]

Answer: Laura has $100 left in her savings account.

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Problem 7:

A roller coaster begins 80 feet above ground level. Then, it descends 100 feet. What integer represents the height of the roller coaster now?

Solution:
- Initial height = 80 feet
- Descent = -100 feet (negative because it's descending)
- Final height = Initial height + Descent
\[
80 + (-100) = 80 - 100 = -20 \text{ feet}
\]

Answer: The height of the roller coaster now is -20 feet (below ground level).

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Problem 8:

The temperature at 12 pm was 12 degrees. Then, it dropped 15 degrees. What integer represents the current temperature now?

Solution:
- Initial temperature = 12 degrees
- Drop = -15 degrees (negative because the temperature decreased)
- Current temperature = Initial temperature + Drop
\[
12 + (-15) = 12 - 15 = -3 \text{ degrees}
\]

Answer: The current temperature is -3 degrees.

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Problem 9:

A hiker traveled downhill for 113 feet. Then, he traveled uphill for 139 feet. What elevation did the hiker end up on?

Solution:
- Downhill travel = -113 feet (negative because it's downhill)
- Uphill travel = +139 feet (positive because it's uphill)
- Final elevation = Downhill travel + Uphill travel
\[
-113 + 139 = 26 \text{ feet}
\]

Answer: The hiker ended up at an elevation of 26 feet.

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Problem 10:

The baby shark swam at a depth of 50 feet below sea level. Then, it rose 25 feet. What depth is the shark swimming now?

Solution:
- Initial depth = -50 feet (negative because it's below sea level)
- Rise = +25 feet (positive because it's rising)
- Final depth = Initial depth + Rise
\[
-50 + 25 = -25 \text{ feet}
\]

Answer: The shark is now swimming at a depth of -25 feet.

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Final Answers:

1. 221 feet
2. -$7
3. 18 yards
4. $146
5. 1,820 feet
6. $100
7. -20 feet
8. -3 degrees
9. 26 feet
10. -25 feet

Boxed Final Answer:
\[
\boxed{221, -7, 18, 146, 1820, 100, -20, -3, 26, -25}
\]