Adding and Subtracting Integers Word Problems (Day 2) online ... - Free Printable

Let's solve each problem step by step:

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Problem 1:

The top of Mt. Kiki is 1240 feet above sea level. The bottom of Ya-Ya Valley is 620 feet below sea level. What is the distance between the top of the mountain and the bottom of the valley?

- The top of Mt. Kiki is at +1240 feet.
- The bottom of Ya-Ya Valley is at -620 feet.
- The distance between these two points is the sum of their absolute values:
\[
\text{Distance} = 1240 + 620 = 1860 \text{ feet}
\]

Answer: \( \boxed{1860} \)

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Problem 2:

Raegan was playing a game where catching a fish in her basket adds 10 points to her score. If she catches a crab, she loses 5 points. What is her point total if she catches 2 fish and 5 crabs?

- Catching 2 fish adds \( 2 \times 10 = 20 \) points.
- Catching 5 crabs subtracts \( 5 \times 5 = 25 \) points.
- Her total score is:
\[
\text{Total Score} = 20 - 25 = -5
\]

Answer: \( \boxed{-5} \)

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Problem 3:

A football team gained 3 yards on the first play, lost 5 yards on the second play, then gained 9 on the third play. What is the total yards?

- First play: +3 yards
- Second play: -5 yards
- Third play: +9 yards
- Total yards:
\[
\text{Total Yards} = 3 + (-5) + 9 = 3 - 5 + 9 = 7
\]

Answer: \( \boxed{7} \)

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Problem 4:

Jaymere had $56 in her checking account. She deposited a check for $35, then wrote a check for $97. What is her balance?

- Initial balance: $56
- Deposit: +$35
- Withdrawal: -$97
- Final balance:
\[
\text{Final Balance} = 56 + 35 - 97 = 91 - 97 = -6
\]

Answer: \( \boxed{-6} \)

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Problem 5:

A SCUBA diver was swimming at a depth of 18 meters. He descended another 5 feet. What is his new depth?

- Initial depth: -18 meters
- Additional descent: -5 meters
- New depth:
\[
\text{New Depth} = -18 + (-5) = -18 - 5 = -23 \text{ meters}
\]

Answer: \( \boxed{-23} \)

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Problem 6:

At 3:00 AM, the temperature was -12 degrees Fahrenheit. By 6:00 AM it rose 23 degrees. What was the temperature at 6:00 AM?

- Initial temperature: -12°F
- Temperature increase: +23°F
- Final temperature:
\[
\text{Final Temperature} = -12 + 23 = 11 \text{°F}
\]

Answer: \( \boxed{11} \)

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Problem 7:

A roller coaster takes riders up a 90 meter hill, plunges them 74 meters down, takes them back up 50 meters, then plunges them down 100 meters where the ride ends. How much higher or lower from the start of the ride are they when they get off?

- Up 90 meters: +90
- Down 74 meters: -74
- Up 50 meters: +50
- Down 100 meters: -100
- Net change in height:
\[
\text{Net Change} = 90 + (-74) + 50 + (-100) = 90 - 74 + 50 - 100 = 16 + 50 - 100 = 66 - 100 = -34
\]

Answer: \( \boxed{-34} \)

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Problem 8:

If the roof of a building is 46 feet off the ground and the floor of the basement is 15 feet under ground, what is the total distance from roof to basement floor?

- Roof height: +46 feet
- Basement floor: -15 feet
- Total distance is the sum of their absolute values:
\[
\text{Total Distance} = 46 + 15 = 61 \text{ feet}
\]

Answer: \( \boxed{61} \)

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Final Answers:

1. \( \boxed{1860} \)
2. \( \boxed{-5} \)
3. \( \boxed{7} \)
4. \( \boxed{-6} \)
5. \( \boxed{-23} \)
6. \( \boxed{11} \)
7. \( \boxed{-34} \)
8. \( \boxed{61} \)