Order of Operations Worksheets -Worksheets Library - Free Printable

To solve the problems in the image, we will use 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)

Let's solve each problem step by step.

---

Problem 1:

\[
(4 + 7 + 9) \times 12
\]

1. Solve inside the parentheses:
\[
4 + 7 + 9 = 20
\]
2. Multiply:
\[
20 \times 12 = 240
\]

Answer: \(\boxed{240}\)

---

Problem 2:

\[
(7^2 \times 7) \times 7
\]

1. Solve the exponent:
\[
7^2 = 49
\]
2. Multiply inside the parentheses:
\[
49 \times 7 = 343
\]
3. Multiply again:
\[
343 \times 7 = 2401
\]

Answer: \(\boxed{2401}\)

---

Problem 3:

\[
15 + 18 \times (7 + 3^2)
\]

1. Solve the exponent inside the parentheses:
\[
3^2 = 9
\]
2. Add inside the parentheses:
\[
7 + 9 = 16
\]
3. Multiply:
\[
18 \times 16 = 288
\]
4. Add:
\[
15 + 288 = 303
\]

Answer: \(\boxed{303}\)

---

Problem 4:

\[
(7 \times 9) \div 7 + 8
\]

1. Multiply inside the parentheses:
\[
7 \times 9 = 63
\]
2. Divide:
\[
63 \div 7 = 9
\]
3. Add:
\[
9 + 8 = 17
\]

Answer: \(\boxed{17}\)

---

Problem 5:

\[
45 \div 9 + (15 \times 2^2)
\]

1. Solve the exponent inside the parentheses:
\[
2^2 = 4
\]
2. Multiply inside the parentheses:
\[
15 \times 4 = 60
\]
3. Divide:
\[
45 \div 9 = 5
\]
4. Add:
\[
5 + 60 = 65
\]

Answer: \(\boxed{65}\)

---

Problem 6:

\[
68 \div (4^2 + 1)
\]

1. Solve the exponent inside the parentheses:
\[
4^2 = 16
\]
2. Add inside the parentheses:
\[
16 + 1 = 17
\]
3. Divide:
\[
68 \div 17 = 4
\]

Answer: \(\boxed{4}\)

---

Problem 7:

\[
(30 \times 5 + 3) \div 3
\]

1. Multiply inside the parentheses:
\[
30 \times 5 = 150
\]
2. Add inside the parentheses:
\[
150 + 3 = 153
\]
3. Divide:
\[
153 \div 3 = 51
\]

Answer: \(\boxed{51}\)

---

Problem 8:

\[
60 \div 10 \times (17 + 24)
\]

1. Add inside the parentheses:
\[
17 + 24 = 41
\]
2. Divide:
\[
60 \div 10 = 6
\]
3. Multiply:
\[
6 \times 41 = 246
\]

Answer: \(\boxed{246}\)

---

Problem 9:

\[
3^3 + (3 + 8)
\]

1. Solve the exponent:
\[
3^3 = 27
\]
2. Add inside the parentheses:
\[
3 + 8 = 11
\]
3. Add:
\[
27 + 11 = 38
\]

Answer: \(\boxed{38}\)

---

Problem 10:

\[
(4 + 3 + 3) =
\]

1. Add inside the parentheses:
\[
4 + 3 + 3 = 10
\]

Answer: \(\boxed{10}\)

---

Problem 11:

\[
6 + (6 + 6^2) \times 2
\]

1. Solve the exponent inside the parentheses:
\[
6^2 = 36
\]
2. Add inside the parentheses:
\[
6 + 36 = 42
\]
3. Multiply:
\[
42 \times 2 = 84
\]
4. Add:
\[
6 + 84 = 90
\]

Answer: \(\boxed{90}\)

---

Problem 12:

\[
(6 + 3 \times 5) + 4^2
\]

1. Multiply inside the parentheses:
\[
3 \times 5 = 15
\]
2. Add inside the parentheses:
\[
6 + 15 = 21
\]
3. Solve the exponent:
\[
4^2 = 16
\]
4. Add:
\[
21 + 16 = 37
\]

Answer: \(\boxed{37}\)

---

Final Answers:

\[
\boxed{240, 2401, 303, 17, 65, 4, 51, 246, 38, 10, 90, 37}
\]