PEMDAS practice worksheet with 12 order of operations problems.

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

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

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1. $ 14 + 18 + 2 \times 18 - 7 $

- First, do multiplication: $ 2 \times 18 = 36 $
- Now: $ 14 + 18 + 36 - 7 $
- Left to right:
$ 14 + 18 = 32 $
$ 32 + 36 = 68 $
$ 68 - 7 = 61 $

✔ Answer: 61

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2. $ 15 \times 18 + 12 \div 3 + 9 $

- Multiplication and division first (left to right):
$ 15 \times 18 = 270 $
$ 12 \div 3 = 4 $
- Now: $ 270 + 4 + 9 $
- $ 270 + 4 = 274 $, $ 274 + 9 = 283 $

✔ Answer: 283

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3. $ 8 \times 4 + 9 - 9 + 18 $

- Multiplication first: $ 8 \times 4 = 32 $
- Now: $ 32 + 9 - 9 + 18 $
- Left to right:
$ 32 + 9 = 41 $
$ 41 - 9 = 32 $
$ 32 + 18 = 50 $

✔ Answer: 50

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4. $ 11 \times 11 - 6 \times 17 + 4 $

- Multiplications:
$ 11 \times 11 = 121 $
$ 6 \times 17 = 102 $
- Now: $ 121 - 102 + 4 $
- $ 121 - 102 = 19 $, $ 19 + 4 = 23 $

✔ Answer: 23

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5. $ 2 - 1 + 5 \times 4 \times 11 $

- Multiplication first:
$ 5 \times 4 = 20 $, then $ 20 \times 11 = 220 $
- Now: $ 2 - 1 + 220 $
- $ 2 - 1 = 1 $, $ 1 + 220 = 221 $

✔ Answer: 221

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6. $ 16 \times 7 \times 15 + 11 + 17 $

- Multiplications first (left to right):
$ 16 \times 7 = 112 $
$ 112 \times 15 = 1680 $
- Now: $ 1680 + 11 + 17 $
- $ 1680 + 11 = 1691 $, $ 1691 + 17 = 1708 $

✔ Answer: 1708

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7. $ 10 - 9 \times 24 \div 8 \times 6 $

- Multiplication and division from left to right:
- $ 9 \times 24 = 216 $
- $ 216 \div 8 = 27 $
- $ 27 \times 6 = 162 $
- Now: $ 10 - 162 = -152 $

✔ Answer: -152

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8. $ 10 + 5 + 10 - 9 \times 11 $

- Multiplication first: $ 9 \times 11 = 99 $
- Now: $ 10 + 5 + 10 - 99 $
- Left to right:
$ 10 + 5 = 15 $
$ 15 + 10 = 25 $
$ 25 - 99 = -74 $

✔ Answer: -74

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9. $ 3 \times 19 \times 14 + 18 + 2 $

- Multiplications:
$ 3 \times 19 = 57 $
$ 57 \times 14 = 798 $
- Now: $ 798 + 18 + 2 = 818 $

✔ Answer: 818

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10. $ 10 \times 12 - 14 + 2 + 15 $

- Multiplication: $ 10 \times 12 = 120 $
- Now: $ 120 - 14 + 2 + 15 $
- Left to right:
$ 120 - 14 = 106 $
$ 106 + 2 = 108 $
$ 108 + 15 = 123 $

✔ Answer: 123

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11. $ 14 + 2 - 1 + 3 $

- All addition/subtraction, left to right:
$ 14 + 2 = 16 $
$ 16 - 1 = 15 $
$ 15 + 3 = 18 $

✔ Answer: 18

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12. $ 9 + 15 \div 5 \times 13 $

- Division and multiplication (left to right):
- $ 15 \div 5 = 3 $
- $ 3 \times 13 = 39 $
- Now: $ 9 + 39 = 48 $

✔ Answer: 48

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 61 |
| 2 | 283 |
| 3 | 50 |
| 4 | 23 |
| 5 | 221 |
| 6 | 1708 |
| 7 | -152 |
| 8 | -74 |
| 9 | 818 |
| 10 | 123 |
| 11 | 18 |
| 12 | 48 |

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