Question

b. Write an expression equivalent to 4x + 12 using the distributive property.

Answer 1

@texaschic101

Answer 2

can you write 12 as 4*3 ? yes
so do that
4x+4*3

Answer 3

huh?

Answer 4

now "factor out" 4 from each term
(this is the opposite of "distributing" )

for example if you had
2(x+1) you would do 2*x + 2*1 or 2x+2

to undo that we write 2x+2 as 2*x + 2*1
and then "take out" the 2 that is in both terms. that leaves (x+1)
and we put the 2 out front: 2(x+1)

Answer 5

for your problem
4x+12
we first write it as
4*x + 4*3
now "take out" the 4
and put it "out front"

Answer 6

like 4(x *3)

Answer 7

almost. it is x+3 inside the parens

Answer 8

so 4(x+3) ?

Answer 9

yes. as a check we can "distribute the 4"
4(x+3) = 4*x + 4*3 = 4x +12
which shows 4(x+3) means the same thing as 4x+12
we started with 4x+12 and "went backwards" and got 4(x+3)

Answer 10

so is that my answer?

Answer 11

yes

Answer 12

thanks!!