Order of Operations practice worksheet with 12 equations and a fun alien-themed illustration.

Problem: Solve the given expressions using the order of operations (PEMDAS/BODMAS rules).

The order of operations is as follows:
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's solve each expression step by step.

---

1. \( 6 \times (13 + 5 - 3) - 18 + 3 \)

1. Solve inside the parentheses:
\[
13 + 5 - 3 = 18 - 3 = 15
\]
2. Multiply:
\[
6 \times 15 = 90
\]
3. Subtract and add from left to right:
\[
90 - 18 + 3 = 72 + 3 = 75
\]

Answer: \( 75 \)

---

2. \( 5 \times 7 + (14 - 4) \times 10 \)

1. Solve inside the parentheses:
\[
14 - 4 = 10
\]
2. Perform multiplication:
\[
5 \times 7 = 35 \quad \text{and} \quad 10 \times 10 = 100
\]
3. Add the results:
\[
35 + 100 = 135
\]

Answer: \( 135 \)

---

3. \( 4 \times (15 + 6 - 5) + 16 \div 4 \)

1. Solve inside the parentheses:
\[
15 + 6 - 5 = 21 - 5 = 16
\]
2. Multiply:
\[
4 \times 16 = 64
\]
3. Divide:
\[
16 \div 4 = 4
\]
4. Add:
\[
64 + 4 = 68
\]

Answer: \( 68 \)

---

4. \( 9 \times 3 + (17 - 7) \times 5 \)

1. Solve inside the parentheses:
\[
17 - 7 = 10
\]
2. Perform multiplication:
\[
9 \times 3 = 27 \quad \text{and} \quad 10 \times 5 = 50
\]
3. Add the results:
\[
27 + 50 = 77
\]

Answer: \( 77 \)

---

5. \( 7 \times (18 - 4 \times 2) - 14 + 7 \)

1. Solve inside the parentheses, starting with multiplication:
\[
4 \times 2 = 8
\]
\[
18 - 8 = 10
\]
2. Multiply:
\[
7 \times 10 = 70
\]
3. Subtract and add from left to right:
\[
70 - 14 + 7 = 56 + 7 = 63
\]

Answer: \( 63 \)

---

6. \( 5 \times (12 + 9 - 8) \div 20 + 5 \)

1. Solve inside the parentheses:
\[
12 + 9 - 8 = 21 - 8 = 13
\]
2. Multiply:
\[
5 \times 13 = 65
\]
3. Divide:
\[
65 \div 20 = 3.25
\]
4. Add:
\[
3.25 + 5 = 8.25
\]

Answer: \( 8.25 \)

---

7. \( 8 \times (4 \times 3 - 2) + 2 \)

1. Solve inside the parentheses, starting with multiplication:
\[
4 \times 3 = 12
\]
\[
12 - 2 = 10
\]
2. Multiply:
\[
8 \times 10 = 80
\]
3. Add:
\[
80 + 2 = 82
\]

Answer: \( 82 \)

---

8. \( 6 \times (15 + 4 \times 6) - 16 \div 8 \)

1. Solve inside the parentheses, starting with multiplication:
\[
4 \times 6 = 24
\]
\[
15 + 24 = 39
\]
2. Multiply:
\[
6 \times 39 = 234
\]
3. Divide:
\[
16 \div 8 = 2
\]
4. Subtract:
\[
234 - 2 = 232
\]

Answer: \( 232 \)

---

9. \( 4 \times (11 + 8 - 7) + 12 \div 3 \)

1. Solve inside the parentheses:
\[
11 + 8 - 7 = 19 - 7 = 12
\]
2. Multiply:
\[
4 \times 12 = 48
\]
3. Divide:
\[
12 \div 3 = 4
\]
4. Add:
\[
48 + 4 = 52
\]

Answer: \( 52 \)

---

10. \( 7 \times 5 + (14 - 6) \times 8 \)

1. Solve inside the parentheses:
\[
14 - 6 = 8
\]
2. Perform multiplication:
\[
7 \times 5 = 35 \quad \text{and} \quad 8 \times 8 = 64
\]
3. Add the results:
\[
35 + 64 = 99
\]

Answer: \( 99 \)

---

11. \( 9 \times (12 - 6 \div 5) - 18 \div 9 \)

1. Solve inside the parentheses, starting with division:
\[
6 \div 5 = 1.2
\]
\[
12 - 1.2 = 10.8
\]
2. Multiply:
\[
9 \times 10.8 = 97.2
\]
3. Divide:
\[
18 \div 9 = 2
\]
4. Subtract:
\[
97.2 - 2 = 95.2
\]

Answer: \( 95.2 \)

---

12. \( 6 \times 6 + (16 \div 4) \times 3 \)

1. Solve inside the parentheses:
\[
16 \div 4 = 4
\]
2. Perform multiplication:
\[
6 \times 6 = 36 \quad \text{and} \quad 4 \times 3 = 12
\]
3. Add the results:
\[
36 + 12 = 48
\]

Answer: \( 48 \)

---

Final Answers:

\[
\boxed{
\begin{aligned}
1. & \ 75 \\
2. & \ 135 \\
3. & \ 68 \\
4. & \ 77 \\
5. & \ 63 \\
6. & \ 8.25 \\
7. & \ 82 \\
8. & \ 232 \\
9. & \ 52 \\
10. & \ 99 \\
11. & \ 95.2 \\
12. & \ 48 \\
\end{aligned}
}
\]