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I can see the worksheet on "Mixed Integer Practice" from the image. Let's go through the solutions. I'll solve each problem one by one:

### Solutions:
1. \(-9 + 13 = 4\)  
   Already solved correctly.

2. \((-7) \times (-5) = 35\)  
   Negative multiplied by negative is positive.

3. \(18 - (-6) = 18 + 6 = 24\)  
   Subtracting a negative is the same as adding.

4. \(-3 - (-7) = -3 + 7 = 4\)  
   Already solved correctly.

5. \(-9 - 18 = -27\)  
   The subtraction becomes more negative.

6. \(\frac{-30}{-3} = 10\)  
   Division of two negatives results in a positive.

7. \(8 \times (-7) = -56\)  
   Already solved correctly.

8. \(-18 + (-13) = -31\)  
   Sum of two negative numbers is a larger negative.

9. \(-9 \times (-5) = 45\)  
   Negative multiplied by negative is positive.

10. \(-19 + 11 = -8\)  
    Already solved correctly.

11. \(6 - (-15) = 6 + 15 = 21\)  
    Subtracting a negative is the same as adding.

12. \(\frac{-54}{-6} = 9\)  
    Division of two negatives results in a positive.

13. \(|-8| - (-3) = 8 + 3 = 11\)  
    Absolute value of \(-8\) is 8.

14. \(-19 + (-7) = -26\)  
    Sum of two negative numbers is a larger negative.

15. \(\frac{40}{-8} = -5\)  
    Positive divided by negative is negative.

16. \(|-5| - |-9| = 5 - 9 = -4\)  
    Already solved correctly.

17. \(-19 \times |-3| = -19 \times 3 = -57\)  
    Absolute value of \(-3\) is 3.

18. \(-10 - (-31) = -10 + 31 = 21\)  
    Subtracting a negative is the same as adding.

19. \(7 + (-11) = -4\)  
    Already solved correctly.

20. \(\frac{72}{-18} = -4\)  
    Positive divided by negative is negative.

21. \(-14 - (-11) = -14 + 11 = -3\)  
    Subtracting a negative is the same as adding.

22. \(-9 + 18 = 9\)  
    Addition of a negative and positive number.

23. \(14 - 7 = 7\)

24. \(-12 + (-9) = -21\)  
    Sum of two negative numbers is a larger negative.

25. \(\frac{-46}{-2} = 23\)  
    Division of two negatives results in a positive.

26. \(8 + (-22) = -14\)

27. \(\frac{-45}{9} = -5\)  
    Negative divided by positive is negative.

28. \(-9 + (-3) = -12\)

29. \(-9 \times (-4) = 36\)  
    Negative multiplied by negative is positive.

30. \(-12 - 19 = -31\)  
    Sum of a negative number and a larger negative number.

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Would you like to discuss any of these solutions in detail or have further questions?

### Follow-up Questions:
1. How do absolute values affect the operations when mixed with integers?
2. What happens when subtracting a negative integer from another negative integer?
3. Can you explain the rule for multiplying and dividing integers with different signs?
4. How does the order of operations apply when dealing with multiple integer operations in a single expression?
5. Why does subtracting a negative integer turn into addition?

### Tip:
When subtracting a negative number, always remember to "flip the sign" and treat it like addition!

Mixed Integer Practice worksheet including addition, subtraction, multiplication, and division of integers, with absolute value operations.

This Mixed Integer Practice worksheet covers integer arithmetic, including addition, subtraction, multiplication, division, and absolute value operations. Suitable for middle school students (Grades 6-8), it provides a step-by-step approach to handling integers with different signs.

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