Mixed operations with four integers worksheet for practice.

To solve the given mixed operation problems, we need to follow the BODMAS rule, which stands for:

- B: Brackets
- O: Orders (exponents and roots)
- D: Division
- M: Multiplication
- A: Addition
- S: Subtraction

Let's solve each problem step by step.

---

Problem 1:

\[
(-72) \div 8 \times 3 + (-15)
\]

1. Division: \((-72) \div 8 = -9\)
2. Multiplication: \(-9 \times 3 = -27\)
3. Addition: \(-27 + (-15) = -27 - 15 = -42\)

Answer: \(\boxed{-42}\)

---

Problem 2:

\[
(-50) \div 25 \times 9 + (-75)
\]

1. Division: \((-50) \div 25 = -2\)
2. Multiplication: \(-2 \times 9 = -18\)
3. Addition: \(-18 + (-75) = -18 - 75 = -93\)

Answer: \(\boxed{-93}\)

---

Problem 3:

\[
8 - (-30) \div (-5) \times (-3)
\]

1. Division: \((-30) \div (-5) = 6\)
2. Multiplication: \(6 \times (-3) = -18\)
3. Subtraction: \(8 - (-18) = 8 + 18 = 26\)

Answer: \(\boxed{26}\)

---

Problem 4:

\[
1 - (-9) \div (-3) \times (-7)
\]

1. Division: \((-9) \div (-3) = 3\)
2. Multiplication: \(3 \times (-7) = -21\)
3. Subtraction: \(1 - (-21) = 1 + 21 = 22\)

Answer: \(\boxed{22}\)

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Problem 5:

\[
(-25) \times (-3) \div (-5) - (-90)
\]

1. Multiplication: \((-25) \times (-3) = 75\)
2. Division: \(75 \div (-5) = -15\)
3. Subtraction: \(-15 - (-90) = -15 + 90 = 75\)

Answer: \(\boxed{75}\)

---

Problem 6:

\[
(-12) \times (-5) \div (-6) - (-30)
\]

1. Multiplication: \((-12) \times (-5) = 60\)
2. Division: \(60 \div (-6) = -10\)
3. Subtraction: \(-10 - (-30) = -10 + 30 = 20\)

Answer: \(\boxed{20}\)

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Problem 7:

\[
(-20) \div (-5) + 9 \times 2
\]

1. Division: \((-20) \div (-5) = 4\)
2. Multiplication: \(9 \times 2 = 18\)
3. Addition: \(4 + 18 = 22\)

Answer: \(\boxed{22}\)

---

Problem 8:

\[
(-30) \div (-5) + 6 \times 6
\]

1. Division: \((-30) \div (-5) = 6\)
2. Multiplication: \(6 \times 6 = 36\)
3. Addition: \(6 + 36 = 42\)

Answer: \(\boxed{42}\)

---

Problem 9:

\[
(-42) \div 3 \times (-2) + 2
\]

1. Division: \((-42) \div 3 = -14\)
2. Multiplication: \(-14 \times (-2) = 28\)
3. Addition: \(28 + 2 = 30\)

Answer: \(\boxed{30}\)

---

Problem 10:

\[
(-66) \div 11 \times (-5) + 7
\]

1. Division: \((-66) \div 11 = -6\)
2. Multiplication: \(-6 \times (-5) = 30\)
3. Addition: \(30 + 7 = 37\)

Answer: \(\boxed{37}\)

---

Problem 11:

\[
(-20) \times (-3) \div (-5) - (-10)
\]

1. Multiplication: \((-20) \times (-3) = 60\)
2. Division: \(60 \div (-5) = -12\)
3. Subtraction: \(-12 - (-10) = -12 + 10 = -2\)

Answer: \(\boxed{-2}\)

---

Problem 12:

\[
(-20) \times (-5) \div (-4) - (-40)
\]

1. Multiplication: \((-20) \times (-5) = 100\)
2. Division: \(100 \div (-4) = -25\)
3. Subtraction: \(-25 - (-40) = -25 + 40 = 15\)

Answer: \(\boxed{15}\)

---

Problem 13:

\[
(-40) \div (-8) + 3 \times 11
\]

1. Division: \((-40) \div (-8) = 5\)
2. Multiplication: \(3 \times 11 = 33\)
3. Addition: \(5 + 33 = 38\)

Answer: \(\boxed{38}\)

---

Problem 14:

\[
(-80) \div (-4) + 9 \times 9
\]

1. Division: \((-80) \div (-4) = 20\)
2. Multiplication: \(9 \times 9 = 81\)
3. Addition: \(20 + 81 = 101\)

Answer: \(\boxed{101}\)

---

Problem 15:

\[
(-68) \div 2 \times (-5) + 12
\]

1. Division: \((-68) \div 2 = -34\)
2. Multiplication: \(-34 \times (-5) = 170\)
3. Addition: \(170 + 12 = 182\)

Answer: \(\boxed{182}\)

---

Problem 16:

\[
(-60) \div 3 \times (-3) + 2
\]

1. Division: \((-60) \div 3 = -20\)
2. Multiplication: \(-20 \times (-3) = 60\)
3. Addition: \(60 + 2 = 62\)

Answer: \(\boxed{62}\)

---

Problem 17:

\[
1 - (-9) \div (-3) \times (-8)
\]

1. Division: \((-9) \div (-3) = 3\)
2. Multiplication: \(3 \times (-8) = -24\)
3. Subtraction: \(1 - (-24) = 1 + 24 = 25\)

Answer: \(\boxed{25}\)

---

Problem 18:

\[
100 - (-6) \div (-2) \times (-3)
\]

1. Division: \((-6) \div (-2) = 3\)
2. Multiplication: \(3 \times (-3) = -9\)
3. Subtraction: \(100 - (-9) = 100 + 9 = 109\)

Answer: \(\boxed{109}\)

---

Problem 19:

\[
(-15) \div 3 \times 9 + (-50)
\]

1. Division: \((-15) \div 3 = -5\)
2. Multiplication: \(-5 \times 9 = -45\)
3. Addition: \(-45 + (-50) = -45 - 50 = -95\)

Answer: \(\boxed{-95}\)

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Problem 20:

\[
(-15) \div 5 \times 2 + (-70)
\]

1. Division: \((-15) \div 5 = -3\)
2. Multiplication: \(-3 \times 2 = -6\)
3. Addition: \(-6 + (-70) = -6 - 70 = -76\)

Answer: \(\boxed{-76}\)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
-42 & -93 \\
26 & 22 \\
75 & 20 \\
22 & 42 \\
30 & 37 \\
-2 & 15 \\
38 & 101 \\
182 & 62 \\
25 & 109 \\
-95 & -76 \\
\end{array}
}
\]