1. 2x + 11 2. (2z + y) - 5 3. |(y + z) - x| x is 20 y is 11 z is 21

Let's evaluate each expression using the given values: \( x = 20 \), \( y = 11 \), and \( z = 21 \).

1. **For \( 2x + 11 \)**:
   \[
   2(20) + 11 = 40 + 11 = 51
   \]

2. **For \( (2z + y) - 5 \)**:
   \[
   (2(21) + 11) - 5 = (42 + 11) - 5 = 53 - 5 = 48
   \]

3. **For \( |(y + z) - x| \)**:
   \[
   |(11 + 21) - 20| = |32 - 20| = |12| = 12
   \]

### Summary of Results:
1. \( 2x + 11 = 51 \)
2. \( (2z + y) - 5 = 48 \)
3. \( |(y + z) - x| = 12 \)

Do you want more details or have any questions about these calculations? Here are some related questions to consider:

1. How would the results change if \( x \) were increased by 5?
2. What would be the results if \( z \) were doubled?
3. How do absolute values affect equations like the third one?
4. Can you create similar expressions using different variables?
5. What are other ways to manipulate these equations algebraically?

**Tip:** When substituting values into expressions, always double-check the order of operations to ensure accuracy.

Explore the evaluation of algebraic expressions such as 2x + 11, (2z + y) - 5, and |(y + z) - x| with x = 20, y = 11, and z = 21. This guide provides step-by-step calculations and insights into absolute values and arithmetic operations, suitable for Grades 7-9.

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