Evaluate expressions using order of operations with this printable math worksheet.

Let's solve each expression 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. $ 23 - 3 \times 4 $

- First: $ 3 \times 4 = 12 $
- Then: $ 23 - 12 = 11 $

✔ Answer: 11

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2. $ 35 \div 5 + 2 $

- First: $ 35 \div 5 = 7 $
- Then: $ 7 + 2 = 9 $

✔ Answer: 9

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3. $ 10^2 - 50 \div 2 $

- Exponent: $ 10^2 = 100 $
- Division: $ 50 \div 2 = 25 $
- Then: $ 100 - 25 = 75 $

✔ Answer: 75

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4. $ 36 + 84 \div (6 \times 2) $

- Parentheses: $ 6 \times 2 = 12 $
- Division: $ 84 \div 12 = 7 $
- Addition: $ 36 + 7 = 43 $

✔ Answer: 43

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5. $ (4^2 - 7) + 6 $

- Exponent: $ 4^2 = 16 $
- Inside parentheses: $ 16 - 7 = 9 $
- Then: $ 9 + 6 = 15 $

✔ Answer: 15

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6. $ 3 \times (10 - 2) + 5 $

- Parentheses: $ 10 - 2 = 8 $
- Multiplication: $ 3 \times 8 = 24 $
- Addition: $ 24 + 5 = 29 $

✔ Answer: 29

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7. $ (36 + 4) + 3^2 \times 2 $

- Parentheses: $ 36 + 4 = 40 $
- Exponent: $ 3^2 = 9 $
- Multiplication: $ 9 \times 2 = 18 $
- Addition: $ 40 + 18 = 58 $

✔ Answer: 58

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8. $ 9^2 + 3 \times 7 - 5 $

- Exponent: $ 9^2 = 81 $
- Multiplication: $ 3 \times 7 = 21 $
- Now: $ 81 + 21 = 102 $
- Then: $ 102 - 5 = 97 $

✔ Answer: 97

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9. $ (3^3 - 4) \div (38 - 37) $

- Exponent: $ 3^3 = 27 $
- Parentheses: $ 27 - 4 = 23 $
- Other parentheses: $ 38 - 37 = 1 $
- Division: $ 23 \div 1 = 23 $

✔ Answer: 23

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10. $ 99 - [54 - (4 + 8)] + 1 $

- Innermost parentheses: $ 4 + 8 = 12 $
- Next: $ 54 - 12 = 42 $
- Then: $ 99 - 42 = 57 $
- Finally: $ 57 + 1 = 58 $

✔ Answer: 58

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11. $ 2^2 - (3 \times 2) + 20 + 10 $

- Exponent: $ 2^2 = 4 $
- Parentheses: $ 3 \times 2 = 6 $
- Now: $ 4 - 6 = -2 $
- Then: $ -2 + 20 = 18 $
- Then: $ 18 + 10 = 28 $

✔ Answer: 28

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12. $ 45 - 24 \div 3 - [40 \div (16 - 8)] $

- Parentheses: $ 16 - 8 = 8 $
- Division inside brackets: $ 40 \div 8 = 5 $
- Division: $ 24 \div 3 = 8 $
- Now: $ 45 - 8 = 37 $
- Then: $ 37 - 5 = 32 $

✔ Answer: 32

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 11 |
| 2 | 9 |
| 3 | 75 |
| 4 | 43 |
| 5 | 15 |
| 6 | 29 |
| 7 | 58 |
| 8 | 97 |
| 9 | 23 |
| 10 | 58 |
| 11 | 28 |
| 12 | 32 |

Let me know if you'd like a printable version or explanation for any specific problem!