https://file.aiquickdraw.com/mathbot/file/1725418773650o3102vk4.jpg

The image you provided contains several algebraic expressions that require substitution of given values. Let's go through each of them step by step:

### Problem 2) \( k - 4d \)
- **Given:** \( k = 5 \) and \( d = 6 \)
- **Substitution:** 
  \[
  5 - 4(6)
  \]
- **Calculation:**
  \[
  5 - 24 = -19
  \]
- **Final Answer:** \( -19 \)

### Problem 3) \( -5(3z - 2k) \)
- **Given:** \( k = -4 \) and \( z = 5 \)
- **Substitution:**
  \[
  -5(3(5) - 2(-4))
  \]
- **Calculation:**
  \[
  -5(15 + 8) = -5(23) = -115
  \]
- **Final Answer:** \( -115 \)

### Problem 4) \( -6 + \frac{5}{4} - 8w \)
- **Given:** \( s = 8 \) and \( w = -4 \)
- **Substitution:**
  \[
  -6 + \frac{5}{4} - 8(-4)
  \]
- **Calculation:**
  \[
  -6 + \frac{5}{4} + 32
  \]
  \[
  -6 + 32 + \frac{5}{4} = 26 + \frac{5}{4} = 26 + 1.25 = 27.25
  \]
- **Final Answer:** \( 27.25 \)

Would you like any further details on these solutions, or do you have any other questions?

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Here are five related questions to practice:

1. What is the result of substituting \( k = 7 \) and \( d = 2 \) into the expression \( k - 4d \)?
2. If \( z = 3 \) and \( k = 2 \), what is the value of \( -5(3z - 2k) \)?
3. Solve \( -6 + \frac{3}{2} - 7w \) when \( w = 5 \).
4. What happens to the expression \( k - 4d \) if \( d \) is doubled?
5. How would the answer to \( -5(3z - 2k) \) change if both \( z \) and \( k \) are negative?

**Tip:** When dealing with algebraic expressions, always remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Use k = 5 and d = 6 to solve k - 4d, use k = -4 and z = 5 to solve -5(3z - 2k), and use s = 8 and w = -4 to solve -6 + 5/4 - 8w.

Learn how to solve algebraic expressions by substituting values into variables. This problem set covers basic algebra concepts suitable for students in Grades 6-8, including simplification and following the order of operations.

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