A student solved the equation x +2 (x + 1) =17 below and showed their work in the table below.

Question

Problem
x +2 (x + 1)

Line 1
x+2x+2=17

Line 2
3x+2=17

Line 3
3x=15


Line 4
x=45
Identify the property used to arrive at Line 1. _____

Identify the property used to arrive at Line 2.
_____
What line has a mistake?
____

What should have been the correct answer for that line?
_____

responses
combine like terms
addition property of equality
division property of equality
distributive property
substitution
line 2
line3
line 4
x=15
x=5
x=3

Answer 1

The properties used to arrive at each line are as follows:

Line 1: Distributive property
Line 2: Combine like terms and Addition property of equality
Line 3: Division property of equality
Line 4: Line 4 is incorrect, the correct answer should be x = 5