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

- anonymous

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- jamiebookeater

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- hartnn

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

- hartnn

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

- anonymous

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!

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## More answers

- hartnn

don't worry, i will try my best to help you :)

- hartnn

you just post the question you have difficulty with.

- anonymous

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?

- hartnn

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

- anonymous

Okay!

- anonymous

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

- anonymous

Oh i forgot answers

- anonymous

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

- 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 ... ?

- anonymous

-10 he said

- hartnn

and he is correct! :)

- anonymous

So the answer would be A than correct?

- hartnn

yes, A would be correct.

- anonymous

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 !

- hartnn

i don't mind, at all :)

- anonymous

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.

- anonymous

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?

- Preetha

Good work Hartnn!

- anonymous

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!

- 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 ?

- anonymous

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

- anonymous

so instead he said would it be A than?

- hartnn

A is correct :)

- anonymous

Woohoo you are amazing!!!

- anonymous

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

- hartnn

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

- 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,....

- hartnn

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

- anonymous

so would it be A & C

- hartnn

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

- anonymous

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

- hartnn

tell him he is absolutely correct :)

- anonymous

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!

- hartnn

now you know :)

- anonymous

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?

- anonymous

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

- 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

- anonymous

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

- 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 ?

- anonymous

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

- anonymous

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?

- hartnn

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

- anonymous

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

- 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 ?

- anonymous

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

- 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 ?

- hartnn

note x means x^1 , both mean the same

- anonymous

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

- 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?

- anonymous

got it he said

- 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 = ... ?

- anonymous

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

- 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

- anonymous

ok he got this,

- anonymous

he understands whats next step?

- hartnn

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

- anonymous

ok got it

- anonymous

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

- hartnn

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

- anonymous

ok he said he got it so far

- hartnn

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

- anonymous

7 2x + 7-2

- 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

- hartnn

like 7*(-4) = -28,

- anonymous

14 &-28correct he said?

- 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)

- anonymous

2*(3x) + 2(1)

- hartnn

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

- anonymous

6 dalton said

- 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.

- anonymous

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

- hartnn

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

- anonymous

yes. 20x

- hartnn

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

- anonymous

-30

- hartnn

-28+2 is not -30

- anonymous

-26 that look like a - instead of a +

- hartnn

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

- anonymous

there is 2 more questions could you help out with?

- hartnn

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

- anonymous

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??

- hartnn

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

- anonymous

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?

- 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! :) :)

- anonymous

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

- 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 :)

- Preetha

Janice, glad Hartn could help your son. Do come back and help OpenStudy grow by spreading the word to other parents and friends. Thanks.

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