Indicate which property is illustrated in Step 5.

Step 1 3x + 12 + 7x + 5 = (3x + 12) + (7x + 5)
Step 2 = 3x + (12 + 7x) + 5
Step 3 = 3x + (7x + 12) + 5
Step 4 = (3x + 7x) + (12 + 5)
Step 5 = (3 + 7)x + (12 + 5)
Step 6 = 10x + 17

arithmetic fact
distributive
associative
commutative

Question

Indicate which property is illustrated in Step 5.

Step 1	3x + 12 + 7x + 5	=	(3x + 12) + (7x + 5)
Step 2		=	3x + (12 + 7x) + 5
Step 3		=	3x + (7x + 12) + 5
Step 4		=	(3x + 7x) + (12 + 5)
Step 5		=	(3 + 7)x + (12 + 5)
Step 6		=	10x + 17

    arithmetic fact
    distributive
    associative
    commutative

anonymous · Answer

associative

jigglypuff314 · Answer

associative would have been going from (3x + 7x) + (12 + 5)
                                                   to      3x + (7x + 12) + 5
going from step 4 to step 5 is taking out an x

anonymous · Answer

oh um commutiatve

anonymous · Answer

wait no thts like a mirror distributive

jigglypuff314 · Answer

yes, distributive is correct :)