below and showed their work in the table below.
Problem x+2(x+1)=17
Line 1 x+2x+2=17
Line 2 3x+2=17
Line 3 3x=15
Line 4 x=5
Identify the property used to arrive at Line 1.
(1 point)
Responses
Addition Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Subtraction Property of Equality
Distributive Property
Distributive Property
Combine Like Terms
1 answer
The property used to arrive at Line 1, where the student simplifies the expression \( x + 2(x + 1) \) to \( x + 2x + 2 \), is the Distributive Property. This property states that \( a(b + c) = ab + ac \). In this case, the student distributed the 2 to both \( x \) and 1 in the expression \( 2(x + 1) \).
So the correct answer is:
Distributive Property
