## katlin95 2 years ago please help guys! in such desperte need! Complete the proof with the statements and reasons below. Write the letter of the statement or reason in the box. Statments: 1) 2) 3) 4) 5) x=15 Reasons: 1) Given 2) 3) 4) 5) Please match these up guys, here are the things to chose from, these reasons, have to match up right with the statments.

1. katlin95

A. Reflexive Property B. Symmetric Property C. x=15 D. Transitive Property E. Addition Property of Equality F. Subtraction Property of Equality G. 3x-12=33 H. Multiplication Property of Equality I. Division Property of Equality J. Substitution Property K. Additive Identity L. 3x=45 M. Multiplicative Identity N. Commutative Property O. 3x+0=45 P. Associative Property Q. Distributive Property R. Given S.

2. katlin95

s. 3(x-4)=33

3. katlin95

4. AlexUL

S1) S S2) G S3) O S4) L S5) C those are the steps to isolate and find the value of x.

5. katlin95

so those are the stetments right?

6. AlexUL

Yes As for the reasons 2 to 5, it's been too many years since I've had to justify those steps, so I don't remember the exact names of each property. They should be in your notes

7. katlin95

alright, could you give me the reasons?

8. katlin95

that match those statments u just gve me above?

9. AlexUL

no, sorry, it's too far in my memory. You should check in your notes or manual, the definition of each property should be there and it'll help you associate the properties (reasons) with the statements

10. katlin95

alrighty thanks:)

11. AlexUL

no problem!

12. jim_thompson5910

We have the following Statments: 1) 2) 3) 4) 5) x = 15 Reasons: 1) Given 2) 3) 4) 5) So what is given here?

13. jim_thompson5910

ie, what is the original problem?

14. katlin95

I think that what you gave me should be flipped around like x=15 should be number five because I think its a whole problem.

15. katlin95

The given is 3(x-4)=33 right?

16. jim_thompson5910

good so that goes in statement 1) like this Statments: 1) 3(x-4)=33 2) 3) 4) 5) x = 15 Reasons: 1) Given 2) 3) 4) 5)

17. jim_thompson5910

We have 2 options, we can either divide or distribute, but we're forced to distribute because there is no option that has x-4 = 11 (which would indicate division)

18. jim_thompson5910

so this means we then get Statments: 1) 3(x-4)=33 2) 3x - 12 = 33 3) 4) 5) x = 15 Reasons: 1) Given 2) Distributive Property 3) 4) 5)

19. jim_thompson5910

What's next?

20. katlin95

fir statments wouldnt it be 3) 3x+0=45 4) 3x=45 right?

21. jim_thompson5910

good

22. jim_thompson5910

Statements: 1) 3(x-4)=33 2) 3x - 12 = 33 3) 3x + 0 = 45 4) 3x = 45 5) x = 15 Reasons: 1) Given 2) Distributive Property 3) 4) 5)

23. jim_thompson5910

Now we just need 3 reasons for the last 3 statements

24. katlin95

and then for reasons it would be 3) Subtraction Property of Equality 4)Additive Identity 5)Division Property of Equality right?

25. jim_thompson5910

close, #3 is wrong though

26. jim_thompson5910

3x - 12 = 33 3x - 12+12 = 33+12 ... Add 12 to both sides using the additive property of equality 3x + 0 = 45

27. katlin95

I ment Addition Property of Equality

28. katlin95

sorry lol

29. jim_thompson5910

you got it Statements: 1) 3(x-4)=33 2) 3x - 12 = 33 3) 3x + 0 = 45 4) 3x = 45 5) x = 15 Reasons: 1) Given 2) Distributive Property 3) Addition Property of Equality 4) Additive Identity 5) Division Property of Equality

30. katlin95

yay!!!!! lol

31. jim_thompson5910

lol congrats

32. katlin95

okay i have something that you could correct, will you check? 1) 5(x + 3) + 9 = 59 Given 2) 5x + 15 + 9 = 59 Distributive property 3) 5x + 24 = 59 additions property of equality 4) 5x + 0 = 35 subtraction property of equality 5) 5x = 35 addative identity 6) x = 7 division property of equality r these right?

33. katlin95

@jim_thompson5910

34. jim_thompson5910

3 is wrong

35. jim_thompson5910

everything else is correct though

36. katlin95

what would three be?

37. jim_thompson5910

Is there a choice that says "combine like terms"? That's the most accurate description of what is going on in #3

38. katlin95

no

39. katlin95

here are the choices 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

40. jim_thompson5910

well, I guess the substitution property fits because you replace 15+9 with 24 and you can legally do this because 15+9 = 24

41. jim_thompson5910

usually though, you'll just say "combine like terms" if you go from 15+9 to 24

42. katlin95

yea but wouldnt that be 4?

43. jim_thompson5910

4 is the subtraction (not substitution) property of equality

44. jim_thompson5910

so you have that right

45. katlin95

pooay so for three just put substitution in?

46. jim_thompson5910

yeah that's what I would do given these options

47. jim_thompson5910

personally, I'd say "combine like terms" since it fits better, but can't do that here

48. katlin95

okay thanks so much!

49. jim_thompson5910

yw