## janice1989 Group Title Hello, I am trying to help my son with his algebra! but i am just having hardest time! can someone please help me? 11 months ago 11 months ago

1. hartnn Group Title

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 Group Title

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

3. janice1989 Group Title

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 Group Title

5. hartnn Group Title

you just post the question you have difficulty with.

6. janice1989 Group Title

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 Group Title

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

8. janice1989 Group Title

Okay!

9. janice1989 Group Title

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

10. janice1989 Group Title

11. janice1989 Group Title

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

12. hartnn Group Title

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 Group Title

-10 he said

14. hartnn Group Title

and he is correct! :)

15. janice1989 Group Title

So the answer would be A than correct?

16. hartnn Group Title

yes, A would be correct.

17. janice1989 Group Title

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 Group Title

i don't mind, at all :)

19. joemagee Group Title

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 Group Title

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 Group Title

Good work Hartnn!

22. janice1989 Group Title

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 Group Title

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 Group Title

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

25. janice1989 Group Title

so instead he said would it be A than?

26. hartnn Group Title

A is correct :)

27. janice1989 Group Title

Woohoo you are amazing!!!

28. janice1989 Group Title

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 Group Title

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

30. hartnn Group Title

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 Group Title

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

32. janice1989 Group Title

so would it be A & C

33. hartnn Group Title

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

34. janice1989 Group Title

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

35. hartnn Group Title

tell him he is absolutely correct :)

36. janice1989 Group Title

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 Group Title

now you know :)

38. janice1989 Group Title

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 Group Title

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

40. hartnn Group Title

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 Group Title

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

42. hartnn Group Title

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 Group Title

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

44. janice1989 Group Title

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 Group Title

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

46. janice1989 Group Title

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

47. hartnn Group Title

(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 Group Title

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

49. hartnn Group Title

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 Group Title

note x means x^1 , both mean the same

51. janice1989 Group Title

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

52. hartnn Group Title

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 Group Title

got it he said

54. hartnn Group Title

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 Group Title

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

56. hartnn Group Title

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 Group Title

ok he got this,

58. janice1989 Group Title

he understands whats next step?

59. hartnn Group Title

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

60. janice1989 Group Title

ok got it

61. janice1989 Group Title

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 Group Title

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

63. janice1989 Group Title

ok he said he got it so far

64. hartnn Group Title

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

65. janice1989 Group Title

7 2x + 7-2

66. hartnn Group Title

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 Group Title

like 7*(-4) = -28,

68. janice1989 Group Title

14 &-28correct he said?

69. hartnn Group Title

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 Group Title

2*(3x) + 2(1)

71. hartnn Group Title

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

72. janice1989 Group Title

6 dalton said

73. hartnn Group Title

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 Group Title

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

75. hartnn Group Title

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

76. janice1989 Group Title

yes. 20x

77. hartnn Group Title

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

78. janice1989 Group Title

-30

79. hartnn Group Title

-28+2 is not -30

80. janice1989 Group Title

-26 that look like a - instead of a +

81. hartnn Group Title

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

82. janice1989 Group Title

there is 2 more questions could you help out with?

83. hartnn Group Title

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

84. janice1989 Group Title

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 Group Title

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

86. janice1989 Group Title

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 Group Title

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 Group Title

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

89. hartnn Group Title

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 Group Title