SOLUTION: Perform the indicated operation -6(a-7). Also state the name of the operation used

Algebra ->  Test  -> Lessons -> SOLUTION: Perform the indicated operation -6(a-7). Also state the name of the operation used      Log On


   



Question 501646: Perform the indicated operation -6(a-7). Also state the name of the operation used
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
-6+%2A+%28a+-+7%29 is equal to:
%28%28-6%29+%2A+a%29+-+%28%28-6%29+%2A+7%29 which is equal to:
%28-6a%29+-+%28-42%29 which is equal to:
-6a+%2B+42

the property used is the distributive property.
that states that:
a+%2A+%28b+%2B+c%29+=+a%2Ab+%2B+a%2Ac
and:
a+%2A+%28b+-+c%29+=+a%2Ab+-+a%2Ac