Math worksheet with order of operations problems involving parentheses, exponents, multiplication, division, and addition.

Let's solve each problem step by step using the order of operations, often remembered by the acronym PEMDAS:

- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)

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1. (14 + 7 + 9) × 12

First, add inside the parentheses:
- 14 + 7 + 9 = 30

Then multiply:
- 30 × 12 = 360

✔ Answer: 360

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2. (7² × 7) × 7

First, evaluate the exponent:
- 7² = 49

Now multiply:
- 49 × 7 = 343

Then:
- 343 × 7 = 2401

✔ Answer: 2401

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3. 15 + 18 × (7 + 3²)

Start with exponents inside parentheses:
- 3² = 9

Then add:
- 7 + 9 = 16

Now multiplication:
- 18 × 16 = 288

Then addition:
- 15 + 288 = 303

✔ Answer: 303

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4. (7 × 9) ÷ 7 + 8

Parentheses first:
- 7 × 9 = 63

Then division:
- 63 ÷ 7 = 9

Then addition:
- 9 + 8 = 17

✔ Answer: 17

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5. 45 ÷ 9 + (15 × 2²)

Exponent first:
- 2² = 4

Then multiplication in parentheses:
- 15 × 4 = 60

Division:
- 45 ÷ 9 = 5

Addition:
- 5 + 60 = 65

✔ Answer: 65

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6. 68 ÷ (4² + 1)

Exponent:
- 4² = 16

Add inside parentheses:
- 16 + 1 = 17

Divide:
- 68 ÷ 17 = 4

✔ Answer: 4

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7. (30 × 5 + 3) ÷ 3

Inside parentheses:
- First, multiplication: 30 × 5 = 150
- Then addition: 150 + 3 = 153

Now divide:
- 153 ÷ 3 = 51

✔ Answer: 51

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8. 60 ÷ 10 × (17 + 24)

Parentheses:
- 17 + 24 = 41

Now do division and multiplication from left to right:
- 60 ÷ 10 = 6
- 6 × 41 = 246

✔ Answer: 246

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9. 3³ + (3 + 8)

Exponent:
- 3³ = 27

Parentheses:
- 3 + 8 = 11

Add:
- 27 + 11 = 38

✔ Answer: 38

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10. (4 + 3 + 3)

Just add:
- 4 + 3 + 3 = 10

✔ Answer: 10

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11. 6 + (6 + 6²) × 2

Exponent:
- 6² = 36

Inside parentheses:
- 6 + 36 = 42

Multiply:
- 42 × 2 = 84

Add:
- 6 + 84 = 90

✔ Answer: 90

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12. (6 + 3 × 5) + 4²

Inside parentheses:
- Multiplication first: 3 × 5 = 15
- Then: 6 + 15 = 21

Exponent:
- 4² = 16

Add:
- 21 + 16 = 37

✔ Answer: 37

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| (14 + 7 + 9) × 12 | 360 |
| (7² × 7) × 7 | 2401 |
| 15 + 18 × (7 + 3²) | 303 |
| (7 × 9) ÷ 7 + 8 | 17 |
| 45 ÷ 9 + (15 × 2²) | 65 |
| 68 ÷ (4² + 1) | 4 |
| (30 × 5 + 3) ÷ 3 | 51 |
| 60 ÷ 10 × (17 + 24) | 246 |
| 3³ + (3 + 8) | 38 |
| (4 + 3 + 3) | 10 |
| 6 + (6 + 6²) × 2 | 90 |
| (6 + 3 × 5) + 4² | 37 |

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