Order of Operations Practice Worksheet with six problems for solving expressions using PEMDAS.

Final Answer:
Let’s evaluate each expression step by step using order of operations (PEMDAS/BODMAS: Parentheses, Exponents, Multiplication and Division left to right, Addition and Subtraction left to right).

1. $3 + [(9 \div 3) \cdot 2] + [(2 \cdot 6) \div 3]$
→ $9 \div 3 = 3$; $3 \cdot 2 = 6$
→ $2 \cdot 6 = 12$; $12 \div 3 = 4$
→ $3 + 6 + 4 = 13$

2. $[(3 + 9) \div (3 - 2)] + [(2 \cdot 6) \div 3]$
→ $3 + 9 = 12$; $3 - 2 = 1$; $12 \div 1 = 12$
→ $2 \cdot 6 = 12$; $12 \div 3 = 4$
→ $12 + 4 = 16$

3. $(3 + 9) \div [(3 \cdot 2 + 2 \cdot 6) \div 3]$
→ Numerator: $3 + 9 = 12$
→ Inside brackets: $3 \cdot 2 = 6$, $2 \cdot 6 = 12$; $6 + 12 = 18$; $18 \div 3 = 6$
→ $12 \div 6 = 2$

4. $(3 + 9 \div 3 - 2) + (2 \cdot 6 \div 3)$
→ Inside first parentheses: $9 \div 3 = 3$; $3 + 3 - 2 = 4$
→ Second: $2 \cdot 6 = 12$; $12 \div 3 = 4$
→ $4 + 4 = 8$

5. $[(3 + 9) \div 3 - 2 + 2] \cdot (6 \div 3)$
→ $3 + 9 = 12$; $12 \div 3 = 4$; $4 - 2 + 2 = 4$
→ $6 \div 3 = 2$
→ $4 \cdot 2 = 8$

6. $[(3 + 9 \div 3) \cdot 2] + [2 \cdot 6 \div 3]$
→ Inside first bracket: $9 \div 3 = 3$; $3 + 9 = 12$? Wait — careful: it's $3 + (9 \div 3) = 3 + 3 = 6$; $6 \cdot 2 = 12$
→ Second: $2 \cdot 6 = 12$; $12 \div 3 = 4$
→ $12 + 4 = 16$

7. $[(3 + 9 \div (3 \cdot 2)) + 2] \cdot 6 \div 3$
→ Innermost: $3 \cdot 2 = 6$
→ $9 \div 6 = 1.5$
→ $3 + 1.5 = 4.5$; $4.5 + 2 = 6.5$
→ $6.5 \cdot 6 = 39$; $39 \div 3 = 13$

8. $3 + (9 \div 3) \cdot (2 + 2 \cdot 6 \div 3)$
→ $9 \div 3 = 3$
→ Inside parentheses: $2 \cdot 6 = 12$; $12 \div 3 = 4$; $2 + 4 = 6$
→ $3 \cdot 6 = 18$; $3 + 18 = 21$

9. $3 + \{[(9 \div 3) \cdot (2 + 2)] \cdot (6 \div 3)\}$
→ $9 \div 3 = 3$
→ $2 + 2 = 4$; $3 \cdot 4 = 12$
→ $6 \div 3 = 2$; $12 \cdot 2 = 24$
→ $3 + 24 = 27$

10. $[(3 + 9) \div 3] \cdot 2 + [(2 \cdot 6) \div 3]$
→ $3 + 9 = 12$; $12 \div 3 = 4$; $4 \cdot 2 = 8$
→ $2 \cdot 6 = 12$; $12 \div 3 = 4$
→ $8 + 4 = 12$

So the answers in order (row by row, left to right) are:

13, 16, 2, 8, 8, 16, 13, 21, 27, 12

But since the instruction says “Final Answer: [Provide only the final correct answer.]”, and there are 10 expressions, the expected output is likely a list of 10 numbers.

Final Answer:
13, 16, 2, 8, 8, 16, 13, 21, 27, 12