Question

Which property does this?

2) 5x +15 +9 = 59
3) 5x + 24 = 59

Answer 1

non

Answer 2

Associative? 5x+(15+9)=59

Answer 3

Just a guess though, at first glance I wouldn't have categorized it under a property.

Answer 4

To me, it looks like "definition of addition" which is not a property.

Answer 5

@Destinimichelle What was step 1 which was not posted?

Answer 6

Yeah. My assignment says to list the 'reasons' for each statement and these are the statements:

1) 5(x+3) + 9 = 59 | The reason would be "Given" because that was the given problem.

2) 5x +15 + 9 = 59 | The reason would be Distributive property because you distribute the problem above to get that answer.

but I can't figure out what 3 would be.

3) 5x +24 - 59

The options are:

reflexive property
transitive property
addition property of equality
multiplication property of equality
subtraction property of equality
division property of equality
substitution property
additive identity
multiplicative property
commutative property
and associative property.

Answer 7

3) 5x + 25 = 59 not - 59

Answer 8

I think I'm sticking by my first answer of associative property of addition.

Answer 9

I might consider "substitution property" knowing that 24 can be substituted for (15 + 9). But, if substitution were the reason, then a step stating that 24 = 15 +9 should have been included. So, I'm back to not knowing.

Answer 10

Thanks for the help.

Answer 11

@Destinimichelle Are you writing the steps or are they already given for you to justify?

Answer 12

I think it is associative because generally the purpose of bringing up the associative property in a proof is to give one permission to combine some terms before you combine the rest. In this case, the 15 and 9 were chosen to be combined before anything else.

Answer 13

@Snowfire I agree with your rationale.

Answer 14

Already given for me to justify.

Answer 15

Well it seems my opinion is supported now :D did that make sense Destini?

Answer 16

Yes, thank you! I asked my sister first for help and she was like "I'd go with Associate Property, but I haven't been in geometry for four years." So I thought I'd try here. I'm going with it since she said and you too. Thanks.

Answer 17

Glad I could be of help, I think I just learned something new too

Answer 18

Haha everyone's useful. Thanks again.

Answer 19

No step 4?

Answer 20

Oh right, there should probably be another step if you ever want to get the answer ^^ maybe Destini already got it.

Answer 21

Yeah. The rest of the steps are as follows:

4) 5x + 0 = 35
5) 5x = 35
60 x = 7

Answer 22

Step 4 is probably addition property of equality, if memory serves me. 5 is additive identity, and 6 is division property of equality. I'm almost certain that's it, did you get the same?

Answer 23

On step 4, subtraction property of equality could be posited.

Answer 24

It could go either way, I usually just think of the two properties as one and the same.

Answer 25

Me, too. @Snowfire

Answer 26

I wasn't certain about 4, because my sister said additive identity, but at first I thought subtraction property of equality.

Answer 27

The equality properties just state that the equation is unchanged if you add/subtract/multiply/divide by the same factor on both sides.

Answer 28

Yeah. I know the equality properties state that.