Question

Which property match with the equation?

Properties:
Addition property of equality, Subtraction property of equality, Multiplication property of equality, Division property of equality, Simplifying, and Distributive property.

Equations:
9u-2 = -81 (subtraction property I think?)
9u-27+27 = -81+27
9u = -54
9u/9 = -54/9 (division property I think?)
u = -6

Answer 1

the first equation looks like it has a typo

Answer 2

Ah yes, It's supposed to be 9u-27 = -81 !

Answer 3

going from 9u-27+27 = -81 + 27 to the next line
9u= -54
looks like simplifying

Answer 4

Both look like simplifying?

Answer 5

if you started with a line
9(u-3)= -81
then going to 9u-27= -81 would be distributing

Answer 6

The question is a bit goofy, because it the the "step" you take to get from one line to the next that uses the property. I guess we label the "result line" with the property.
like this
9u+27-27 = -81+27
9u = -54 Simplify

Answer 7

can you post your labels for each line?

Answer 8

Yes. Basically the question is asking which equation matches with which property.

Answer 9

I meant, what is your answer?
It looks like they start with an equation, and they "solve for u"
and they want the reason that allows you to write the next line as you work out the solution

Answer 10

For example

if you started with a line 9(u-3)= -81
then the reason you are allowed to write the next line as
9u-27= -81
would be distributive property

Answer 11

I'm not sure how to answer the question then.

Answer 12

distribute in English means "hand out" and in math
9(u-3) we can "hand out" the 9 to each term inside the parens
(we multiply 9 times each term inside the parens)
in other words,
9(u-3) = 9u -3*9 = 9u-27 because we use the distributive property

Answer 13

9(u-3)= -81
9u-27 = -81 <-- Distributive Property
9u-27+27 = -81+27
9u = -54
9u/9 = -54/9 (division property I think?) YES
u = -6

Answer 14

now to get from the second line to the third line:
9u-27 = -81 <-- Distributive Property
9u-27+27 = -81+27 <--- what did we do here ?

Answer 15

Subtraction property? And the third to fourth is simplify?

Answer 16

what is different between this line:
9u-27 = -81

and this line: 9u-27 +27 = -81 +27 ?

Answer 17

They add 27 to both sides

Answer 18

adding 27 to both sides is ok, it keeps the equation true.
(if we add 27 to only 1 side, that does not work)
To remember that it is ok to add the same thing to both sides, people gave a name to the rule that says it's ok: addition property

Answer 19

9(u-3)= -81
9u-27 = -81 <-- Distributive Property
9u-27+27 = -81+27 <-- Addition Property of Equality
9u = -54 <---Simplify
9u/9 = -54/9 (division property I think?) YES
u = -6 <-- Simplify

Answer 20

But we're using simplify twice.

Answer 21

Yes. I think this is a problem where you have to show how to get from one line to the next, and you have to pick out the correct reason. In this case, we don't use every reason in the list.

Answer 22

and we use the same reason two different times.
That's ok