Order of Operations worksheet with 30 math problems for practicing PEMDAS.

To solve the problems on this "Order of Operations" worksheet, we need to follow the correct order of operations, often remembered by the acronym PEMDAS:

1. P - Parentheses (solve expressions inside parentheses first)
2. E - Exponents (solve any exponents next)
3. M/D - Multiplication and Division (work from left to right)
4. A/S - Addition and Subtraction (work from left to right)

Since there are no parentheses or exponents in these problems, we will focus on multiplication/division before addition/subtraction.

Let's solve each problem step by step.

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Problem 1: \( 4 \times 3 + 2 \)

- First, multiply: \( 4 \times 3 = 12 \)
- Then, add: \( 12 + 2 = 14 \)
- Answer: \( 14 \)

Problem 2: \( 4 + 3 \times 2 \)

- First, multiply: \( 3 \times 2 = 6 \)
- Then, add: \( 4 + 6 = 10 \)
- Answer: \( 10 \)

Problem 3: \( 2 \times 5 + 1 \)

- First, multiply: \( 2 \times 5 = 10 \)
- Then, add: \( 10 + 1 = 11 \)
- Answer: \( 11 \)

Problem 4: \( 2 + 5 \times 1 \)

- First, multiply: \( 5 \times 1 = 5 \)
- Then, add: \( 2 + 5 = 7 \)
- Answer: \( 7 \)

Problem 5: \( 3 \times 2 + 3 \)

- First, multiply: \( 3 \times 2 = 6 \)
- Then, add: \( 6 + 3 = 9 \)
- Answer: \( 9 \)

Problem 6: \( 3 + 2 \times 3 \)

- First, multiply: \( 2 \times 3 = 6 \)
- Then, add: \( 3 + 6 = 9 \)
- Answer: \( 9 \)

Problem 7: \( 2 \times 3 + 4 \)

- First, multiply: \( 2 \times 3 = 6 \)
- Then, add: \( 6 + 4 = 10 \)
- Answer: \( 10 \)

Problem 8: \( 2 + 3 \times 4 \)

- First, multiply: \( 3 \times 4 = 12 \)
- Then, add: \( 2 + 12 = 14 \)
- Answer: \( 14 \)

Problem 9: \( 7 - 2 \times 3 \)

- First, multiply: \( 2 \times 3 = 6 \)
- Then, subtract: \( 7 - 6 = 1 \)
- Answer: \( 1 \)

Problem 10: \( 7 \times 2 - 3 \)

- First, multiply: \( 7 \times 2 = 14 \)
- Then, subtract: \( 14 - 3 = 11 \)
- Answer: \( 11 \)

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Problem 11: \( 2 + 3 \times 1 \)

- First, multiply: \( 3 \times 1 = 3 \)
- Then, add: \( 2 + 3 = 5 \)
- Answer: \( 5 \)

Problem 12: \( 5 \times 4 - 2 \)

- First, multiply: \( 5 \times 4 = 20 \)
- Then, subtract: \( 20 - 2 = 18 \)
- Answer: \( 18 \)

Problem 13: \( 12 - 3 \times 4 \)

- First, multiply: \( 3 \times 4 = 12 \)
- Then, subtract: \( 12 - 12 = 0 \)
- Answer: \( 0 \)

Problem 14: \( 3 \times 5 - 4 \)

- First, multiply: \( 3 \times 5 = 15 \)
- Then, subtract: \( 15 - 4 = 11 \)
- Answer: \( 11 \)

Problem 15: \( 8 - 3 \times 2 \)

- First, multiply: \( 3 \times 2 = 6 \)
- Then, subtract: \( 8 - 6 = 2 \)
- Answer: \( 2 \)

Problem 16: \( 4 + 3 \times 5 \)

- First, multiply: \( 3 \times 5 = 15 \)
- Then, add: \( 4 + 15 = 19 \)
- Answer: \( 19 \)

Problem 17: \( 8 - 6 \times 0 \)

- First, multiply: \( 6 \times 0 = 0 \)
- Then, subtract: \( 8 - 0 = 8 \)
- Answer: \( 8 \)

Problem 18: \( 2 \times 9 + 4 \)

- First, multiply: \( 2 \times 9 = 18 \)
- Then, add: \( 18 + 4 = 22 \)
- Answer: \( 22 \)

Problem 19: \( 6 - 2 \times 7 \)

- First, multiply: \( 2 \times 7 = 14 \)
- Then, subtract: \( 6 - 14 = -8 \)
- Answer: \( -8 \)

Problem 20: \( 6 \times 4 - 9 \)

- First, multiply: \( 6 \times 4 = 24 \)
- Then, subtract: \( 24 - 9 = 15 \)
- Answer: \( 15 \)

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Problem 21: \( 12 - 3 \times 2 \)

- First, multiply: \( 3 \times 2 = 6 \)
- Then, subtract: \( 12 - 6 = 6 \)
- Answer: \( 6 \)

Problem 22: \( 10 \div 2 + 3 \)

- First, divide: \( 10 \div 2 = 5 \)
- Then, add: \( 5 + 3 = 8 \)
- Answer: \( 8 \)

Problem 23: \( 5 \times 6 + 8 \)

- First, multiply: \( 5 \times 6 = 30 \)
- Then, add: \( 30 + 8 = 38 \)
- Answer: \( 38 \)

Problem 24: \( 9 - 3 \times 5 \)

- First, multiply: \( 3 \times 5 = 15 \)
- Then, subtract: \( 9 - 15 = -6 \)
- Answer: \( -6 \)

Problem 25: \( 16 \div 2 + 6 \)

- First, divide: \( 16 \div 2 = 8 \)
- Then, add: \( 8 + 6 = 14 \)
- Answer: \( 14 \)

Problem 26: \( 3 \times 4 - 8 \)

- First, multiply: \( 3 \times 4 = 12 \)
- Then, subtract: \( 12 - 8 = 4 \)
- Answer: \( 4 \)

Problem 27: \( 7 - 5 \times 2 \)

- First, multiply: \( 5 \times 2 = 10 \)
- Then, subtract: \( 7 - 10 = -3 \)
- Answer: \( -3 \)

Problem 28: \( 9 + 7 - 4 \)

- Work from left to right:
- Add: \( 9 + 7 = 16 \)
- Subtract: \( 16 - 4 = 12 \)
- Answer: \( 12 \)

Problem 29: \( 7 - 10 \div 2 \)

- First, divide: \( 10 \div 2 = 5 \)
- Then, subtract: \( 7 - 5 = 2 \)
- Answer: \( 2 \)

Problem 30: \( 8 \times 5 - 7 \)

- First, multiply: \( 8 \times 5 = 40 \)
- Then, subtract: \( 40 - 7 = 33 \)
- Answer: \( 33 \)

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Final Answers:

\[
\boxed{
\begin{array}{lll}
1) & 14 & 11) & 5 & 21) & 6 \\
2) & 10 & 12) & 18 & 22) & 8 \\
3) & 11 & 13) & 0 & 23) & 38 \\
4) & 7 & 14) & 11 & 24) & -6 \\
5) & 9 & 15) & 2 & 25) & 14 \\
6) & 9 & 16) & 19 & 26) & 4 \\
7) & 10 & 17) & 8 & 27) & -3 \\
8) & 14 & 18) & 22 & 28) & 12 \\
9) & 1 & 19) & -8 & 29) & 2 \\
10) & 11 & 20) & 15 & 30) & 33 \\
\end{array}
}
\]