PEMDAS practice worksheet for solving mathematical expressions using the order of operations.

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However, I cannot view or analyze images directly. But since you've provided the text content in your message, I can help you solve the problems listed.

Let’s go through each problem step by step, applying the PEMDAS rule:

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Problems:

1. $ 24 \div 3 + 5 \times 7 $

2. $ 25 + 3 \times 6 - 7 $

3. $ 8 \div 2 - 3 + 2 \times 2 $

4. $ 22 + 4 \times 5 - 8 \div 4 $

5. $ 9 + 8 \times 2 + 8 \div 4 $

6. $ 80 \div 5 + 10 \times 4 - 1 $

7. $ 10 - 7 \times 4 + 6 $

8. $ 100 \div 5 - 10 \times 3 + 22 $

9. $ 25 + 2 \times 4 - 10 \div 2 $

10. $ 25 + 4 \times 3 + 4 \times 2 $

11. $ 24 \div 3 + 1 $

12. $ 9 + 15 \div 3 \times 2 $

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Let's solve them one by one:

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1. $ 24 \div 3 + 5 \times 7 $

- Division and multiplication first (left to right):
- $ 24 \div 3 = 8 $
- $ 5 \times 7 = 35 $
- Then addition:
- $ 8 + 35 = 43 $

✔ Answer: 43

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2. $ 25 + 3 \times 6 - 7 $

- Multiplication first:
- $ 3 \times 6 = 18 $
- Now: $ 25 + 18 - 7 $
- Left to right:
- $ 25 + 18 = 43 $
- $ 43 - 7 = 36 $

✔ Answer: 36

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3. $ 8 \div 2 - 3 + 2 \times 2 $

- Division and multiplication first:
- $ 8 \div 2 = 4 $
- $ 2 \times 2 = 4 $
- Now: $ 4 - 3 + 4 $
- Left to right:
- $ 4 - 3 = 1 $
- $ 1 + 4 = 5 $

✔ Answer: 5

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4. $ 22 + 4 \times 5 - 8 \div 4 $

- Multiplication and division:
- $ 4 \times 5 = 20 $
- $ 8 \div 4 = 2 $
- Now: $ 22 + 20 - 2 $
- $ 22 + 20 = 42 $
- $ 42 - 2 = 40 $

✔ Answer: 40

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5. $ 9 + 8 \times 2 + 8 \div 4 $

- Multiplication and division:
- $ 8 \times 2 = 16 $
- $ 8 \div 4 = 2 $
- Now: $ 9 + 16 + 2 $
- $ 9 + 16 = 25 $
- $ 25 + 2 = 27 $

✔ Answer: 27

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6. $ 80 \div 5 + 10 \times 4 - 1 $

- Division and multiplication:
- $ 80 \div 5 = 16 $
- $ 10 \times 4 = 40 $
- Now: $ 16 + 40 - 1 $
- $ 16 + 40 = 56 $
- $ 56 - 1 = 55 $

✔ Answer: 55

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7. $ 10 - 7 \times 4 + 6 $

- Multiplication first:
- $ 7 \times 4 = 28 $
- Now: $ 10 - 28 + 6 $
- Left to right:
- $ 10 - 28 = -18 $
- $ -18 + 6 = -12 $

✔ Answer: -12

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8. $ 100 \div 5 - 10 \times 3 + 22 $

- Division and multiplication:
- $ 100 \div 5 = 20 $
- $ 10 \times 3 = 30 $
- Now: $ 20 - 30 + 22 $
- $ 20 - 30 = -10 $
- $ -10 + 22 = 12 $

✔ Answer: 12

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9. $ 25 + 2 \times 4 - 10 \div 2 $

- Multiplication and division:
- $ 2 \times 4 = 8 $
- $ 10 \div 2 = 5 $
- Now: $ 25 + 8 - 5 $
- $ 25 + 8 = 33 $
- $ 33 - 5 = 28 $

✔ Answer: 28

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10. $ 25 + 4 \times 3 + 4 \times 2 $

- Multiplication:
- $ 4 \times 3 = 12 $
- $ 4 \times 2 = 8 $
- Now: $ 25 + 12 + 8 $
- $ 25 + 12 = 37 $
- $ 37 + 8 = 45 $

✔ Answer: 45

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11. $ 24 \div 3 + 1 $

- Division first:
- $ 24 \div 3 = 8 $
- Then: $ 8 + 1 = 9 $

✔ Answer: 9

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12. $ 9 + 15 \div 3 \times 2 $

- Division and multiplication (left to right):
- $ 15 \div 3 = 5 $
- $ 5 \times 2 = 10 $
- Then: $ 9 + 10 = 19 $

✔ Answer: 19

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 43 |
| 2 | 36 |
| 3 | 5 |
| 4 | 40 |
| 5 | 27 |
| 6 | 55 |
| 7 | -12 |
| 8 | 12 |
| 9 | 28 |
| 10 | 45 |
| 11 | 9 |
| 12 | 19 |

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🔍 Key Takeaway:

Always follow PEMDAS:
1. Parentheses
2. Exponents
3. Multiplication and Division (left to right)
4. Addition and Subtraction (left to right)

Let me know if you'd like this formatted as a printable worksheet or need explanations for any specific problem!