Adding and Subtracting Integer Word Problems by Math Maker | TPT - Free Printable

It seems like you've uploaded an image containing a series of math problems, and you're asking for solutions and explanations. Below, I will solve each problem step by step.

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Problem 1: Temperature Conversion

Statement: The temperature was $-12^\circ$ at midnight, then decreased by $13^\circ$ by the morning. What was the temperature in the morning?

#### Solution:
1. Start with the initial temperature at midnight: $-12^\circ$.
2. The temperature decreases by $13^\circ$. To find the new temperature, subtract $13^\circ$ from $-12^\circ$:
\[
-12 - 13 = -25
\]
3. Therefore, the temperature in the morning is $-25^\circ$.

#### Answer:
\[
\boxed{-25}
\]

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Problem 2: Distance Between Two Points

Statement: A bird flies to its nest at an elevation of $70$ feet above sea level. A fish swimming directly below the bird is at an elevation of $-3$ feet. What is the distance between the bird and the fish?

#### Solution:
1. The bird is at an elevation of $70$ feet above sea level.
2. The fish is at an elevation of $-3$ feet (below sea level).
3. To find the distance between the bird and the fish, calculate the difference in their elevations:
\[
70 - (-3) = 70 + 3 = 73
\]
4. Therefore, the distance between the bird and the fish is $73$ feet.

#### Answer:
\[
\boxed{73}
\]

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Problem 3: Football Team's Yardage

Statement: A football team gained $6$ yards on their first play, then lost $28$ yards on their second play. What was the total change in yardage for the two plays?

#### Solution:
1. On the first play, the team gained $6$ yards.
2. On the second play, the team lost $28$ yards. Losing yards can be represented as gaining $-28$ yards.
3. To find the total change in yardage, add the gains and losses:
\[
6 + (-28) = 6 - 28 = -22
\]
4. The negative result indicates a net loss of $22$ yards.

#### Answer:
\[
\boxed{-22}
\]

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Problem 4: Money Deposited into Accounts

Statement: Maggie has a balance of $-12$ in her bank account. She deposited $11$ into her account. How much money does Maggie have now in her account?

#### Solution:
1. Maggie's initial balance is $-12$ (a debt of $12$ dollars).
2. She deposits $11$, which means she adds $11$ to her account:
\[
-12 + 11 = -1
\]
3. The result, $-1$, indicates that Maggie still owes $1$ dollar.

#### Answer:
\[
\boxed{-1}
\]

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Problem 5: Temperature Increase

Statement: The temperature in Washington was $-9^\circ$, then increased by $13^\circ$. What is the new temperature?

#### Solution:
1. The initial temperature in Washington is $-9^\circ$.
2. The temperature increases by $13^\circ$. To find the new temperature, add $13^\circ$ to $-9^\circ$:
\[
-9 + 13 = 4
\]
3. Therefore, the new temperature is $4^\circ$.

#### Answer:
\[
\boxed{4}
\]

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Problem 6: Distance Between Two Locations

Statement: Alan is standing on a dock that is $4$ feet above the water surface. He dives down $18$ feet below the water surface. What is Alan’s location relative to the water surface?

#### Solution:
1. Alan starts at a height of $4$ feet above the water surface.
2. He dives down $18$ feet below the water surface. Diving down can be represented as moving $-18$ feet from his starting point.
3. To find Alan’s final position relative to the water surface, subtract $18$ from $4$:
\[
4 - 18 = -14
\]
4. The negative result indicates that Alan is $14$ feet below the water surface.

#### Answer:
\[
\boxed{-14}
\]

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Final Answers:

1. \(\boxed{-25}\)
2. \(\boxed{73}\)
3. \(\boxed{-22}\)
4. \(\boxed{-1}\)
5. \(\boxed{4}\)
6. \(\boxed{-14}\)

If you have any further questions or need additional clarification, feel free to ask!