Question

Fordson High School hosted a math competition. A student completed the following proof and the question was marked in correct. Identify and correct the students mistake(s)

I know that these are the mistakes
One- that (2x-5)+3x = (-5+2x)+3x is communative property of addition
And two- that -5+x(2+3) =x(2+3)-5 is accociative property of addition. What are the actual properties?

Answer 1

What makes it incorrect is the wrong match of the properties. The correct answer is actually the opposite. The first expression is a manifestation of associative property while the second expression is a manifestation of commutative property.

Commutative property is the arrangement of order of algebraic terms. Associative property is the arrangement of order within a grouped quantity.