Question

Which expression is equivalent to 6a + 12?

6(a + 6)
3(3a + 9)
6(a + 9)
2(3a + 6)

Answer 1

Find a GCF for 12 and 6

Answer 2

Need help? :)

Answer 3

yes

Answer 4

List the numbers the go into 6 and 12 obviously the GCF will be even since we are working with 2 even numbers :-)
2,4,6, <---our GCF
GCF=6 :)

Answer 5

Now just divide the whole expression by 6
6/6=?
12/6=?

Answer 6

you can also go through the options and check each one

example: for choice A, we have 6(a + 6)

distribute the outer 6 through to get

6(a + 6) = 6*a + 6*6 = 6a + 36

Answer 7

6a + 36 is not the same as 6a + 12, so choice A is ruled out. Check the others the same way.