1. 2x + 11 2. (2z + y) - 5 3. |(y + z) - x| x is 0 y is 22 z is 20

Let's evaluate each of these expressions step-by-step, given that \( x = 0 \), \( y = 22 \), and \( z = 20 \).

### 1. \( 2x + 11 \)
Substitute \( x = 0 \):
\[
2 \cdot 0 + 11 = 0 + 11 = 11
\]
**Answer:** \( 2x + 11 = 11 \)

### 2. \( (2z + y) - 5 \)
Substitute \( z = 20 \) and \( y = 22 \):
\[
(2 \cdot 20 + 22) - 5 = (40 + 22) - 5 = 62 - 5 = 57
\]
**Answer:** \( (2z + y) - 5 = 57 \)

### 3. \( |(y + z) - x| \)
Substitute \( y = 22 \), \( z = 20 \), and \( x = 0 \):
\[
|(22 + 20) - 0| = |42 - 0| = |42| = 42
\]
**Answer:** \( |(y + z) - x| = 42 \)

### Summary of Results
1. \( 2x + 11 = 11 \)
2. \( (2z + y) - 5 = 57 \)
3. \( |(y + z) - x| = 42 \)

Would you like further details on any of these calculations?

---

Here are five related questions:
1. What is the value of \( 2x + 3y \) given the same values for \( x \), \( y \), and \( z \)?
2. How does the expression \( 3z - y + 7 \) evaluate for \( x = 0 \), \( y = 22 \), and \( z = 20 \)?
3. Can you calculate \( |y - x| + |z - y| \) with these values?
4. What is the outcome of \( x + y + z \) when \( x = 0 \), \( y = 22 \), and \( z = 20 \)?
5. How would you simplify \( |x + y - z| \) using the provided values?

**Tip:** When solving expressions with absolute values, remember that the absolute value function, \( |a| \), removes any negative signs, making \( |a| \) always non-negative.

Learn how to evaluate algebraic expressions like 2x + 11, (2z + y) - 5, and |(y + z) - x| with given values for x, y, and z. Explore key algebraic concepts and solve step-by-step for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation