Question

Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a
.

Step 1: [missing]

Step 2: 10+13a=10+13a


Step 3: The expressions are equivalent because they both equal the same value.

(1 point)
Responses

10+12a+a=10+13a

10 plus 12 a plus a equals 10 plus 13 a

12a+10+a−10=10+a+12a−10

12 a plus 10 plus a minus 10 equals 10 plus a plus 12 a minus 10

12a+10+a−a=10+a+12a−a

12 a plus 10 plus a minus a equals 10 plus a plus 12 a minus a

12a+10=10+12a

12 a plus 10 equals 10 plus 12 a
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Answer 1

Step 1: 12a + 10 + a = 10 + 12a + a (Reorder terms by the Commutative Property)

Then combine like terms to get Step 2: 10 + 13a = 10 + 13a, so the expressions are equivalent.