Question

I DONT HAVE MUCH TIME TO GET THIS DONE, AND WOULD REALLY APPRECIATE SOME HELP

Match the reasons to the corresponding statement to complete the proof. Write the letter of the reason in the box.

Here are the statments:
Statements Reasons
1) 5(x + 3) + 9 = 59 1)
2) 5x + 15 + 9 = 59 2)
3) 5x + 24 = 59 3)
4) 5x + 0 = 35 4)
5) 5x = 35 5)
6) x = 7 6)

Please give the reason for each statment, the choices are below to choose from:) thanks so

Answer 1

i am working on this same problem.

Answer 2

?

Answer 3

I believe there are nine different properties for this. The fifth one should deal with a division kind. The fourth one should deal with a subtraction. I'm going to try and find a list of the different properties real quick.

Answer 4

Yeah, there are nine properties. They are the following:
Addition, Subtraction, Multiplication, Division, Reflexive, Symmetric, Transitive, Substitution, and Distributive

Answer 5

Transitive Property requires three terms. If a = b, and b = c, then a = c. The reflexive property equals itself. Symmetric just reverses the order across the equal sign. It acts like a mirror. I'm just telling you this for future reference. ^^

Answer 6

1. Distributive because you are distributing the 5 with the x and the 3.
2. Addition Property because you are adding 15 and 9 together
3. Subtraction property because you are subtracting the 24 on both sides to get the 5x alone
4. I need to consider this one
5. Division Property because you are dividing both sides by 5
6. I'm not sure exactly right now.

Answer 7

Do you understand so far?

Answer 8

@caidensmomma: Are you here still?

Answer 9

yea i am.

Answer 10

Okay, do you understand so far?

Answer 11

yea

Answer 12

i am looking at the comments you made right now

Answer 13

okay

Answer 14

i believe that 4 is additive identity. because your adding 0 to it which makes it itsself its just taking away the 0

Answer 15

Well, actually in order to cancel out the 0 you would have to do the opposite of the sign it already has. So, since it is a positive 0 you would have to subtract it to cancel it out.

Answer 16

By subtracting it, you would do so on both sides.

Answer 17

1 should be given though i think because it would be the start of the problem, dont you think

Answer 18

Well, that is true, but I don't really think so for these kinds of questions. I'm working on the same concept of problems currently, but they have different types of properties. With the ones I'm working on, I would have to put the Given as the first statement. However, I don't think that would be the case for yours.

Answer 19

what she did not put in the question is that it says Given: with nothing there And Prove: x=7 that is also in the question

Answer 20

if that helps you understand more at all.

Answer 21

Indeed, it does. Just a moment please. I'm going to check something out.

Answer 22

Okay thank you so much!

Answer 23

No problem! :) I believe that the x = 7 would be symmetric.

Answer 24

So would number one still be distributive than?

Answer 25

I think you are correct by saying it is Given.

Answer 26

Okay, what about the other anwcers would those still be correct?

Answer 27

I'll go look over what I said to make sure.

Answer 28

k

Answer 29

A. Reflexive Property B. Symmetric Property C. Transitive Property D. Addition Property of Equality E. Subtraction Property of Equality F. Multiplication Property of Equality G. Division Property of Equality H. Substitution Property I. Additive Identity J. Multiplicative Identity K. Commutative Property L. Associative Property M. Distributive Property N. Given

Answer 30

Okay, so I won't confuse you I'll restate what I believe are the correct answers over again.

1. Given
2. Addition Property because you are adding 15 and 9 together
3. Subtraction property because you are subtracting the 24 on both sides to get the 5x alone
4. Subtraction- It's weird that they would put subtraction both times though...
5. Division Property because you are dividing both sides by 5
6. Symmetric Property

Answer 31

These are the anwcers hey give us to use

Answer 32

A. Reflexive Property B. Symmetric Property C. Transitive Property D. Addition Property of Equality E. Subtraction Property of Equality F. Multiplication Property of Equality G. Division Property of Equality H. Substitution Property I. Additive Identity J. Multiplicative Identity K. Commutative Property L. Associative Property M. Distributive Property N. Given

Answer 33

When I say for instance 'Addition Property' I mean the Addition Property of Equality. I forgot that it matters to put 'of Equality' at the end of it.

Answer 34

haha thank you so much i think i finally understand this now.

Answer 35

Okay, good. ^^ I am happy that I was able to help you, and thanks for the medal! I had a lot of fun helping you out and speaking with you. :) Do you have any more similar questions like this one that you need help on?

Answer 36

No thanks! you solved it!

Answer 37

Okay, have a nice day!