Question

Identify the property that justifies each step about the answer and the area below. Line 1: 11(2+8x) line 3: 11(8x+2) line 3: 88x+20

Answer 1

To identify the properties that justify each step in the expression transformation, we can break down the steps as follows:

1. **Step Line 1: 11(2 + 8x)**
- This is the original expression.

2. **Step Line 2: 11(8x + 2)**
- **Justification: Commutative Property of Addition** - This property states that the order of addition does not affect the sum. Thus, \(2 + 8x\) can be rewritten as \(8x + 2\).

3. **Step Line 3: 88x + 20**
- **Justification: Distributive Property** - This property states that \(a(b + c) = ab + ac\). Here, we apply this property to distribute the 11:
\[
11(8x + 2) = 11 \cdot 8x + 11 \cdot 2 = 88x + 22.
\]

This looks correct until I noticed a mistake; I should have noted the coefficients correctly from your transcription. The final expression using the Distributive Property should yield \(88x + 22\), not \(88x + 20\).

Would you like me to correct this final evaluation or assist you further?