Question

Use the distributive property to simplify the expression below:
−3(3d − 1) + 5d

Answer 1

−4d + 3

−4d − 3

−d + 3

−d − 3

Answer 2

well, first off what is the distributive property?

Answer 3

the distributive property says that if you have numbers like this: \[a(b+c)\]
then you can rewrite them like this:\[ab+ac\]

Answer 4

basically you take what is on the outside of the parenthesis and multiply it by each thing inside the parenthesis. like this:

Answer 5

so what we get when we use the distributive property on this equation is this:
\[-3(3d - 1) + 5 = -9d+3+5\]

Answer 6

-3(3d-1)+5d=-9d-3-15d

Answer 7

i mean -24d+3

Answer 8

combined like terms

Answer 9

sorry, forgot a "d"

so when you finally get down to it and combine the like terms what you are going to get is:
\[-9d+5d+3 = -4d+3\]

Answer 10

so the correct answer is \[-4d+3\]

Answer 11

the small mistake that @pudgesan made was that when he multiplied his -3, he didn't notice that the +5d was outside of the parenthesis and therefore shouldnt have gotten multiplied by the -3

Answer 12

i am a girl

Answer 13

oops! sorry!!

Answer 14

the small mistake that @pudgesan made was that when SHE multiplied his -3, SHE didn't notice that the +5d was outside of the parenthesis and therefore shouldnt have gotten multiplied by the -3

Answer 15

it is okay

Answer 16

better? ^_^

Answer 17

does that make sense @ahoward79 ?

Answer 18

yup

Answer 19

Yes! Thank you so much! You are an AMAZING teacher!