## janice1989 one year ago Hello, I am trying to help my son with his algebra! but i am just having hardest time! can someone please help me?

1. hartnn

Hi @janice1989 $\begin{array}l\color{red}{\text{W}}\color{orange}{\text{E}}\color{#e6e600}{\text{L}}\color{green}{\text{C}}\color{blue}{\text{O}}\color{purple}{\text{M}}\color{purple}{\text{E}}\color{red}{\text{ }}\color{orange}{\text{t}}\color{#e6e600}{\text{o}}\color{green}{\text{ }}\color{blue}{\text{O}}\color{purple}{\text{P}}\color{purple}{\text{E}}\color{red}{\text{N}}\color{orange}{\text{S}}\color{#e6e600}{\text{T}}\color{green}{\text{U}}\color{blue}{\text{D}}\color{purple}{\text{Y}}\color{purple}{\text{ }}\color{red}{\text{:}}\color{orange}{\text{)}}\color{#e6e600}{\text{}}\end{array}$

2. hartnn

how can we help you ? do you have any specific qustion ?

3. janice1989

Yes can you give me a min? I am not sure how to really work this nad help my son, he has special needs! so he has hard time understanding it and im just stuck! and the teachers dont help at all! im just os stressed out!

4. hartnn

5. hartnn

you just post the question you have difficulty with.

6. janice1989

Okay, Sorry it took so long to reply he got one asnwer right hold on whille i type the ones we need help with! What is your name?

7. hartnn

my name is hartnn, janice :) you can call me that

8. janice1989

Okay!

9. janice1989

The expression 5x^2+x-10 has ___ terms and a constand of ____

10. janice1989

11. janice1989

3,-10 3,10 6,-10 6,10 My son said B

12. hartnn

3 terms are correct! 5x^2 -> one term +x ->2nd term -10 -> 3rd term but the constant is the term with no ''x" in it, which is ... ?

13. janice1989

-10 he said

14. hartnn

and he is correct! :)

15. janice1989

So the answer would be A than correct?

16. hartnn

yes, A would be correct.

17. janice1989

He is smiling ear to ear he got it right! you can explain it a lot better than i could, there is some more if you dont mind helping with !

18. hartnn

i don't mind, at all :)

19. joemagee

Janice, thanks for using OpenStudy. Do tell other parents about us. Hartnn is one of our senior, most skilled and patient OpenStudiers! There are many like him on the site to help. They do it because they love Math and helping young learners.

20. janice1989

the expression 9x^2-5x-7 has __ terms and a constant of ___ 3,-7 5,-7 3,7 -5,7 He said there is 5 terms and a constant of -7 since its right after the x. so he said it would be B correct?

21. Preetha

Good work Hartnn!

22. janice1989

I will for sure tell other parents about it! Ive been stuck on this for such a long time, And someone told me about it, this is an amazing website, Do you also do Geometry?? My daughter is doing geometry and also has special needs she has Aspergers and is having such a hard time with it.. and she is just stressed and all!

23. hartnn

thank you for the appreciations, yes, i do geometry too :) lets count the terms in , 9x^2-5x-7 9x^2 -5x -7 how many ?

24. janice1989

Than after we finish this up maybe later on you could help my daughter? And he said 3 :)

25. janice1989

so instead he said would it be A than?

26. hartnn

A is correct :)

27. janice1989

Woohoo you are amazing!!!

28. janice1989

In 6x^4-3y+5x^4-10 what are the like terms in the expression choose all that apply.. 6x^4 -3y 5x^4 -10 he said all of them

29. hartnn

you will find many amazing users here on OpenStudy, willing to help you as much as i am :)

30. hartnn

like terms are those which have same exponent of 'x' like x^3, -3x^3, 8x^3 .... (one set of like terms) x,4x,9x,-x,.... and constants like 4,8,0,-1,....

31. hartnn

in 6x^4-3y+5x^4-10 which terms have same exponent of x ?

32. janice1989

so would it be A & C

33. hartnn

does your boy say/agree with A and C too ?

34. janice1989

Yeah he said that, i am just typing for him because he is little bit slow on typing! :D

35. hartnn

tell him he is absolutely correct :)

36. janice1989

Okay :D hold on he is working on next one to see if he can get it, who would have known a stranger online could help so much more than a teacher!

37. hartnn

now you know :)

38. janice1989

Simplify : 7x^2+2x^2 7x^2 9x^2 14x^4 9x^4 He said he is not sure what to do can you explain it step by step? He said it would either be A or B since the top number are both 2. or do you add them together?

39. janice1989

He said would it be B? since 7+2 = 9??

40. hartnn

the top number (here 2) is called the exponent. does he know what an exponent is ? and yes, B is correct, because 7x^2+2x^2 = (7+2)x^2 = 9x^2

41. janice1989

He said hes heard of it, but isnt really sure what it is.

42. hartnn

i'll explain, x^n, x is called the 'base' and n is called the exponent. x^n implies , multiplying 'x' to itself, 'n' times. we take an example : 2^4 will imply multiplying 2 4 times = 2*2*2*2 = 16 similarly, x^2 will imply multiplying x with itself twice, x*x got this ?

43. janice1989

he said oh that is what exponent is i know now! lol. Thank you, hes working on the next one :)

44. janice1989

Subtract the second expression from the first (5x^2-3x+5)-(3x^2-4x-7) 2x^2+x+12 2x^2-7x+12 8x^2+x+12 2x^2+x-2 He said would it be B?

45. hartnn

why B , how did he get co-efficients like 2,-7 and 12 ?

46. janice1989

He says he dont know, i think he was guessing. He does that a lot. Im sorry!

47. hartnn

(5x^2-3x+5)-(3x^2-4x-7) = 5x^2 -3x +5 -3x^2 - (-4x) - (-7) {by distributing the negative} = 5x^2 -3x +5 -3x^2 +4x +7 {because negative times negative becomes positive!} then we identify like terms. but is this much clear ?

48. janice1989

he said for like terms would it be 5x^2 -3x -3x^2 and 4x?

49. hartnn

for like terms , the exponent of x should be same, for which terms exponent of x is 2 ? for which terms exponent of x is 1 ?

50. hartnn

note x means x^1 , both mean the same

51. janice1989

he said he is confused. he said he dont get that,

52. hartnn

ok, the 5x^2 and -3x^2 has exponent of 2 so these are like terms and we can combine them in this way, 5x^2-3x^2 = (5-3)x^2 = 2x^2 got this?

53. janice1989

got it he said

54. hartnn

cool, from this : 5x^2 -3x +5 -3x^2 +4x +7 the other like terms are -3x and +4x (because they both contains just x with it, not x^2 or x^3 .....) so we can combine them like : -3x+4x = (-3+4) x = ... ?

55. janice1989

he said uh he thinks you can combine them not 100% sure

56. hartnn

yes, they can be combined because they both have same exponent (=1 here) so, -3x+4x = (-3+4) x = -x lastly, what remains are just constants, 7+5 , which =12

57. janice1989

ok he got this,

58. janice1989

he understands whats next step?

59. hartnn

so, finally, putting the results together, 2x^2-x+12

60. janice1989

ok got it

61. janice1989

distribute and simplify 7(2x-4)+2(3x+1) 20x+26 20x-26 14x-28 6x+2 He asked what is it to distribute???

62. hartnn

Distribution Property : a(b+c) = ab+ac |dw:1379629904908:dw| ask if you need an explanation in words....

63. janice1989

ok he said he got it so far

64. hartnn

|dw:1379630067115:dw| so can he fill that now ?

65. janice1989

7 2x + 7-2

66. hartnn

the operation is actually of multiplication while distributing, a(b+c) = a*b + a*c so, that will be = 7*(2x) + 7*(-4) got this ? and simplify this further

67. hartnn

like 7*(-4) = -28,

68. janice1989

14 &-28correct he said?

69. hartnn

yeah, just don't forget the 'x' too 7*2x = 14x 7*(-4)=-28 so, the first part 7(2x-4) = 14x-28 in same way, please try the second part, 2(3x+1)

70. janice1989

2*(3x) + 2(1)

71. hartnn

good! and whats 2*3x = ... ?

72. janice1989

6 dalton said

73. hartnn

2*3x = 6x (again, don't forget the 'x') so we have 7(2x-4) +2(3x+1) = 14x-28+6x+2 we have distributed successfully, now time to combine like terms, tell him to try first.

74. janice1989

2x, 3x?? and 14x and 6x?

75. hartnn

from this 14x-28+6x+2 there are only 2 terms containing 'x' , right ? so what is 14x+6x =....?

76. janice1989

yes. 20x

77. hartnn

the constants, -28+2 =... ? and so the final answer will be ?

78. janice1989

-30

79. hartnn

-28+2 is not -30

80. janice1989

-26 that look like a - instead of a +

81. hartnn

-28+2 = - (28-2) = - (26) yes.

82. janice1989

there is 2 more questions could you help out with?

83. hartnn

yes, go ahead with them, lets crack them together! :)

84. janice1989

evaluate the expression 2(x+y) ---------- for x=6 and y=7 3 13/3 19/3 20/3 26/3 he said its look like this 2(6+7) ------- 3 he said would the answer be 26/3??

85. hartnn

yes, he is correct! congratulate him on my behalf :)

86. janice1989

Evaluate the expression 3x+4y --------- x=1.5 and y=2.5 2 2 4.25 6.25 7.25 His work 3(1.5) +4(2.5) -------------- 2 would it be 7.25?

87. hartnn

lets check, 3(1.5) + 4(2.5) = 4.5+10 = 14.5 is the numerator. and 14.5/2 = 7.25 is the correct answer! :) :)

88. janice1989

Woohoo Thank you sooo soo much Hartnn!! :) You are amaizng! you did such a great job! :D You are beyond smart!! :D

89. hartnn

you are welcome janice :) even i am glad that i could help you. and i want to request your son to practice more problems. with good amount of practice, your son can be smarter than me :)

90. Preetha