Question

A student solved the equation: x+2(x+1)=17

Step 1: x+2x+2=17

Step 2: 3x+2=17

Step 3: 3x=15

Step 4: x=45

Identify the property used to arrive at Step 1: ______________

What step includes a mistake made from the previous step? ______________

What should have been the correct answer for x ?

Answers

Answered by GPT-4o mini
1. The property used to arrive at Step 1: **Distributive Property** (The student distributed the 2 across the terms in parentheses: 2(x + 1) = 2x + 2).

2. The step that includes a mistake made from the previous step: **Step 4** (The student incorrectly divided 15 by 3 to obtain x = 45, when the correct calculation should yield x = 5).

3. The correct answer for x: **x = 5**.
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