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Here are the solutions for the problems on the worksheet:

### Part 1: Evaluate Each Expression
1. \( 4 \div 2^2 \)
   \[
   2^2 = 4,\ \text{so } 4 \div 4 = 1
   \]
   **Answer:** \( 1 \)

2. \( 6 \times 4 - 6 \)
   \[
   6 \times 4 = 24,\ \text{and } 24 - 6 = 18
   \]
   **Answer:** \( 18 \)

---

### Part 2: Evaluate Each Using the Values Given
3. \( jk - 4 \), where \( j = 2 \) and \( k = 5 \)
   \[
   jk = 2 \times 5 = 10,\ \text{and } 10 - 4 = 6
   \]
   **Answer:** \( 6 \)

4. \( x - (z - z) \), where \( x = 3 \) and \( z = 1 \)
   \[
   z - z = 0,\ \text{so } x - 0 = 3
   \]
   **Answer:** \( 3 \)

5. \( hk - k \), where \( h = 5 \) and \( k = 3 \)
   \[
   hk = 5 \times 3 = 15,\ \text{and } 15 - 3 = 12
   \]
   **Answer:** \( 12 \)

6. \( x - (y - x) \), where \( x = 4 \) and \( y = 4 \)
   \[
   y - x = 4 - 4 = 0,\ \text{so } x - 0 = 4
   \]
   **Answer:** \( 4 \)

7. \( z - 2(x - x) \), where \( x = 1 \) and \( z = 5 \)
   \[
   x - x = 0,\ \text{so } 2 \times 0 = 0,\ \text{and } z - 0 = 5
   \]
   **Answer:** \( 5 \)

8. \( y + \frac{6 - x}{4} \), where \( x = 2 \) and \( y = 4 \)
   \[
   6 - x = 6 - 2 = 4,\ \frac{4}{4} = 1,\ \text{and } y + 1 = 4 + 1 = 5
   \]
   **Answer:** \( 5 \)

9. \( b + \frac{ab}{4} \), where \( a = 3 \) and \( b = 4 \)
   \[
   ab = 3 \times 4 = 12,\ \frac{12}{4} = 3,\ \text{and } b + 3 = 4 + 3 = 7
   \]
   **Answer:** \( 7 \)

10. \( y + 5 - (x + z) \), where \( x = 2 \), \( y = 5 \), and \( z = 2 \)
    \[
    x + z = 2 + 2 = 4,\ \text{so } y + 5 - 4 = 5 + 5 - 4 = 6
    \]
    **Answer:** \( 6 \)

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Do you want detailed step-by-step explanations for any of the problems? 

Here are 5 related questions:
1. Can you simplify expressions involving parentheses and fractions in other examples?
2. How would the answers change if the given values were different?
3. How do you evaluate powers and divisions simultaneously in more complex problems?
4. Can you explain how parentheses affect the evaluation order in expressions?
5. What are the common mistakes to avoid when evaluating expressions like these?

**Tip:** Always follow the **order of operations (PEMDAS)** to evaluate expressions correctly!

Evaluate the expressions provided on the worksheet using the given values.

Learn how to evaluate expressions like 4 ÷ 2^2 and solve equations using given variable values. This worksheet covers core math concepts such as PEMDAS, substitution, and basic arithmetic, suitable for students in Grades 6-8.

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