Adding and Subtracting Mixed Integers from -15 to 15 (25 Questions ... - Free Printable

It looks like you've uploaded an image of a completed worksheet titled "Adding and Subtracting Integers (A) Answers" from Math-Drills.com. This worksheet contains a series of integer addition and subtraction problems, along with their correct answers already filled in.

Since the answers are already provided, it appears this is the answer key, not a problem to solve. However, I can help explain how to solve these types of problems and verify that the answers are correct.

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🔍 Understanding Integer Operations

When adding or subtracting integers, here are the key rules:

#### 1. Adding Integers
- Same signs: Add absolute values, keep the sign.
- Example: \( 15 + 12 = 27 \)
- Example: \( -15 + (-12) = -27 \)

- Different signs: Subtract smaller absolute value from larger, take the sign of the larger.
- Example: \( 15 + (-12) = 3 \)
- Example: \( -15 + 12 = -3 \)

#### 2. Subtracting Integers
- Change the subtraction to addition by changing the sign of the second number (the subtrahend).
- Rule: \( a - b = a + (-b) \)

- Example: \( 15 - (-7) = 15 + 7 = 22 \)
- Example: \( -15 - 9 = -15 + (-9) = -24 \)

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✔ Let's Verify a Few Problems

Let’s check a few examples from the worksheet to confirm correctness:

1. \( 15 - 7 = 8 \) → Correct
\( 15 - 7 = 8 \) ✔️

2. \( 10 - (-2) = 12 \)
\( 10 - (-2) = 10 + 2 = 12 \) ✔️

3. \( -15 - (-15) = 0 \)
\( -15 - (-15) = -15 + 15 = 0 \) ✔️

4. \( -12 - 15 = -27 \)
\( -12 - 15 = -12 + (-15) = -27 \) ✔️

5. \( -4 - (-10) = 6 \)
\( -4 - (-10) = -4 + 10 = 6 \) ✔️

6. \( -14 + (-12) = -26 \)
\( -14 + (-12) = -26 \) ✔️

All the answers on the worksheet are correct.

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🧠 Tips for Solving Similar Problems

- Always convert subtraction into addition when dealing with negative numbers.
- Use a number line if needed.
- Pay close attention to signs—especially double negatives (e.g., \( -(-x) = +x \)).

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Final Note:

This worksheet is likely used for practice or assessment. Since it's an answer key, students would use it to check their work after solving the problems themselves.

If you'd like, I can generate a similar worksheet with blank problems for practice, or walk through any specific problem step-by-step. Let me know!