What is the correct reason for statement 5?
Prove: 3y + 4 + 6(1 + y) = 9y + 10
Statements Reasons
1. 3y + 4 + 6(1 + y) 1. Given
2. 3y + 4 + (6+ 6y) 2. Distributive Property
3. 3y + (4 + 6) + 6y 3. Associative Property
4. 3y + 10 + 6y 4. Addition
5. 3y + 6y + 10 5.
6. 9y + 10 6. Addition

A.
Multiplication

B.
Associative Property

C.
Addition

D.
Commutative Property

Question

What is the correct reason for statement 5?
 Prove: 3y + 4 + 6(1 + y) = 9y + 10
Statements	Reasons
1.  3y + 4 + 6(1 + y)	1. Given
2.  3y + 4 + (6+ 6y)	2. Distributive Property
3.  3y + (4 + 6) + 6y	3. Associative Property
4.  3y + 10 + 6y	4. Addition
5.  3y + 6y + 10	5.
6.  9y + 10	6. Addition
 
 
 A.
Multiplication
 
 B.
Associative Property  
 
 C.
Addition
 
 D.
Commutative Property

agent47 · Answer

The order of the terms that are being added doesn't matter. What property is that?

anonymous · Answer

addition

agent47 · Answer

Not exactly. You're not adding yet, you're rearranging the terms.

texaschic101 · Answer

are you looking for the property for step 5 ?

anonymous · Answer

yes

agent47 · Answer

which property states that a+b=b+a?

anonymous · Answer

commutative

texaschic101 · Answer

bingo...yes

agent47 · Answer

yes, same goes for your case:
3y + 10 + 6y = 3y + 6y + 10