Great Big Book of Algebra
Rina : Hey Kat.
Kat : Why are you sad?
Rina : Because I'm going to get in trouble when i get home.
Kat : Really? why?
Rina : Because I got a low mark in math on my report card.
Kat : Why is that? Don't you understand it?
Rina : Well, I don't really understand algebra and algebraic equations.
Kat : Oh really? Well, let me help you! its fairly easy.
Rina : Really? Okay thanks!
Kat : No problem! Well, let's get started!
Rina : Okay, well i remember us having this question that really tricked me. I'm pretty sure all we had to do was simplify it. Though i never really understood how.
Kat : Oh, well okay then, what was the question?
Rina : I think it was n+3-5n+12.
Kat : That's easy. The first step to simplifying this expression is to combine the like terms.
Rina : How do i do that? do i just put together the ones that are the same or similar to each other? Kat : Exactly! you're correct. All you have to do is to combine the ones that are similar to each other.
Rina : Oh, okay so all I have to add first is n and 5n?
Kat : Yes. But since there is a negative sign before the 5n, which means that it is negative 5n. So when you add the n to the -5n, you get a -4n.
Rina : I get it! Okay, so whats the next step?
Kat : Alright, now the other ones that are the same.
Rina : 3 and 12?
Kat : Correct. 3+12 is?..
Rina : 15! 3+12 is 15!
Kat : Good job! So now that you have both of the numbers, all you have to do is add them together but don't solve it.
Rina : Don't solve it?
Kat : Don't solve it because there's no equal sign.
Rina : Right! which means it's not an equation because its an expression!
Kat : Exactly! So, do you know what the answer to the question is now?
Rina : Yes. When you simplify n+3-5n+12, you get 4n+12.
Kat : Good Job. You're right.
Rina : Thanks Kat. You're a really good friend!
Kat : You're welcome. I hope you get a better mark next time!
Rina : Me too!
chapter two
The Great Big Book of Algebra
Adding Integers (Haiku)
Adding Integers
when you add your integers
think about money.
Subtracting Integers (Haiku)
Subtract integers
Just remember that you must
add the opposite.
Partitive Division (Cinquain)
Partitive division
easy, simple
partitioning, grouping, sharing
sharing numbers evenly
partitioning.
Quotative Division (Free Verse)
Quotative division is easy to do,
for example the numbers six and two,
How many times does two go into six?
The answer is three (its as easy as cake-mix).
Make six into two equal groups,
If you said the answer is two, (oops)
The right answer is actually three
Now get it right, or you'll get stung by a bee.
Chapter two
Mr. Guy: Oh my, you look like a really sad clown. What's wrong?
Mr. Clown: Well you see, I was walking home from clown school and these two kids were laughing. They called me all sorts of things, but the one that got me the most is when they called me dumb. They told me that I couldn't do algebra!
Mr Guy: Mr. Clown, don't feel sad. Kids used to say that to me too, but when i grew up I became a teacher. That showed them!
Mr Clown: If you're a teacher, would you mind helping me slove these two algebra questions?
Mr. Guy: Of course I will, Mr. Clown. What are the two questions?
Mr. Clown: The first one is n+3-5n+12.
Mr. Guy: Easy peasy! The answer to that is -6n+15.
Mr Clown: Oh, but how do you know? What were the steps?
Mr. Guy:Well first of all, I did my grouping. That is when you combine like terms. For this equation, the like terms were -5n+n. Always remember that an "n" by itself always equals 1. So in this case, the answer to combining those like terms is -6n.
Mr. Clown: Hm, I get it! Well, sort of. Go on, Mr. Guy.
Mr. Guy: The same goes for the second part. We must combine like terms again. in the second part of the question, we are adding the numbers with no letter signs. That means we are adding +3+12. The answer to that is +15. That's how we get -6+n+15. Simple right?
Mr. Clown: Yes! I get it! But I don't think that my second question will not be as easy! It has brackets.
Mr. Guy: Don't worry. What's the question?
Mr. Clown: This question is 2+4(3n+8). Not as easy, huh?
Mr. Guy: Well easy enough! The answer is 12n+10!
Mr. Clown: Oh no, Mr. Guy. That doesn't look right. I think you're supposed to multiply 4 and 8, not add 8 and 2. It just doesn't look right the way you're doing it.
Mr. Guy:I thought you didn't know how to do algebra?
Mr. Clown: What? OH, i guess i just remembered from my years in normal school.
Mr. Guy:Well, Mr. Clown. The answer is 12n+34. You did good, now put a smile on your face!
Mr. Clown: Thanks , Mr. Guy! But about the smile part. I dont think i could do that, because this is the way my face is painted!
Great Big Book of Algebra
Adding Integers--Cinquain
adding integers
plus, add
adding, increasing, summing
adding integers are fun
combining integers
Subtracting Integers--Picture
Subtracting Integers is decreasing number. You never really subtract integers
you add the opposite. use a calculator, but it's hard to put it in the right integer.
partitive division
equal, groups
grouping, sharing, equaling
sharing equally with friends
Grouping
Quotative Division--Haiku
Dividing into
How many times does it fit
how much in each group
Pratts Law--Free Verse
When you multiply an odd amount of negative integers the product is always negative
Math movie
Matt:Hi,James
James:Hey, Matt
Matt:Do you know about the distributive property
James: Ah..... No, No I do not
Matt: well do you want me to show you?
James:No, Not really but okay, show me
Matt: I would not show you if yo do not want to know
James: oh but I want to know
Matt: you do not sound like you want to know
James: Just show me before I leave
Matt: I will show you two explains
James: yes
Matt:n+3-5n+12
James: yes
Matt: +3+12=15,n-5n=4n,= 4n+15
James oh wow, that alot to take in
Matt: yah,i know it, and I'm sorry I have another one for you
James: oh great
Matt:okay.....2+4(3n+8)
Matt:4x3n=12n,4x8=+32, +32+2=+34 and the anwer is 12n+34
James: ah yah I get it now thank you bye
Matt:your going so fast
James: yes, I have things to do right now
Matt: ok bye bye
James:Yah.... see yah
Mariahs great big book of algabra
Adding Integers [cinquain]
Adding!
confusing, recive
plus, total, combination
two plus two equals
integers
Subtracting Integers [Tanka]
its time to subtract!
subtracting is very fun
when I subtract I
take away different numbers
dont you just love subtracting!
Partitive division [diamante]
partative
group, part
2+4(3n+8) =
Chapter 2
Bob: hey there! how are you today ?
Charlie: well. not so good.
Bob: why is that?
Charlie: I have a math test on monday and I have the anwers to the math test, but I dont know how to solve them!
Bob: well maybe I can help you with them!
Charlie : that would be awesome thanks!
Bob: what is your first question?
Charlie: the first question is n+3-5n+12 can you solve it.
Bob: hey thats easy the answer is -4+ 15
Charlie: wait wait .. ii have to check it first!
Bob: well..
Charlie: wow ! you got that one right. good for you Bob!
Bob: really well probly because it was easy.
Charile: yeah! would you like to try one more i never did?
Bob: shure okay we can both do it together.
Charlie: the question is 2+4(3n+8)
[thinking]
Charlie: got it!
Bob: hey me to!
Charlie: he answer is
The Great Big Book of Algebra
Philip: Hello there Dwight!
Dwight:(sigh) Hi Philip....
Philip:oh..whats wrong?
Dwight:I cant figure out this algebra equation
Philip:well then maybe I can help. Whats the question?
Dwight:I doubt it but you can give it a shot if you like.
Philip:Sure!
Dwight: n+3-5n+1 , I can't figure it out!
Philip:Okay, so first, what do you think the awnser is?
Dwight: I keep getting -6n+15 but I don't know if it is right!
Philip: hhmm. That does not seem right. Let me check.....Okay!
Dwight: you got the awnser!?
Philip: yup! Well to start your awsner was wrong! the awnser is -4n+4.. Now let me show you how I got that. First you would rewrite the question and combine the like terms like so
"-5n+n+3+1" then you simplify! so you will end up with this "-4n+4" .
Dwight: Oh! now I see. Thanks Philip!
Philip: no problemo. See you later Dwight!
Dwight: Wait! . uhhmm Philip?
Philip:Yes Dwight?
Dwight: Uhhhmm.... coudl you help me with another one?
Philip:Of course!
Dwight:Alright heres the question 2 + 4(3n+8) .
Philip: ahhh... distributave property!
Dwight:exactly I just don't know how to do it! This is what I keep getting 12n + 10 , but im not sure about it.
Philip: hhhhmmm. well let me have a go at it. Ohh. I see where your going wrogn Dwight.
see the awnser would be 12n+34 silly.
Dwight: Oh! well how did you get that?
Philip:you see . what you were doing was ading 2 and 8. What you have to do its times 4 and 3 and you get 12n. and then times 4 and 8 and you get 32. so then you take the 2 and add it to 32. so you will end up with 12n+32. see!
Dwight: Ohhhh! I get it!
Dwight: Yes. Thank you Philip!
Philip: No problemo Dwight!
The Great Big Book Of Algebra
0Integers have hair own rules
you use zero pairs
positives and negatives
throw the zero pairs around.
Subtracting Integers
subtracting property
subtracting your integers
will help you get smart
Partitive Division
divide into groups
is partitive division
sharing evenly.
Pratt's Law
to do this law you have to
remember s.s+
it means if both signs are the same
the integer is a positive
if both the integer signs are
different it is a negative.
Quotative Division
first you need to figure out how
many fours go into six
you also should use lots of picks
just so you don't get into a mix.
Sript
john: Hey seburn can you help me with something?
Seburn:What do you want help for?
john:I need help answering n+3-5n+12?
Seburn:I can show you how to do it but you have to give me something.
John:like what do you want?
Seburn: I will tell you later let's do the question.
John: Okay let's do it.
Seburn: I think the answer is -4n+15
script
snob: whats wrong with you?
mystery guy: i dont know how to do a math algebraic equation.
snob: oh well best be moving on now
mystery guy: WAIT! can you help me?
snob: I dont think so.
mystery guy: please, I will even pay you.
snob: well in that case yes
mystery guy: thank you,
snob: so what is the question, make it snappy
mystery guy: the question is, how do you simplify n+3 minus 5n +12, i think the simplification is -6n+15
snob: n n n no! you dumby it is -4n+15. your mistake was you added the n to the negative five and made it a 6n then added the 3 to the 12. the 1n minus negative 5n is just like 1 minus 5, IT EAQUALS 4!
mystery guy: thank you so so much. I have just one more.
snob: no. GIVE ME MY MONEY
mystery guy: no help no money
snob:dont make me beat you up.
mystery guy: please sir
snob: FINE BUT IT BETTER BE THE LAST!
mystery guy: thank you, the question is.. how do you simplify 2+4(3n+8). i think it is 12n+10
snob: you really are stupid. this is GRADE 8 MATH. for this you must do distributive property. you multiply the 4 and the 3n than you multiply the 4 and the 8 now it should be 12n+32 now you add the remaning 2 to the 32 and you get 34.
mystery guy: oh so the equation simplified is 12n+34. i see now my mistake was that I didnt multiply the 4 ant the 8, and i just added the two ok thanks. bye.
mystery guy: (walks away)
snob: GET BACK HERE AND GIVE ME MY MONEY
The Great Big Book Of Algebra
Adding Integers
Great big book of algebra
Adding integers
Put two and two together
Combining numbers
Subtracting integers
Subtracting integers
reducing, difference
taking,switching, adding
switching subtraction to adding
Add the opposite
Partitive division
Share between
it's like dealing cards
going back and forth
making even parts
i don't really like math
But i have to go down this path
Chapter two Combining
Son: Mom can you help me
Mother: Sure what do u need my help with
Son: My math homework
Mother: Oh what are u doing and what questions do you need help with
Son: Well we are combining like terms and Distributive Property, I need help with this question and there is a few more...
Mother: Wait. Lets just start with that question first what is the question.
Son: It is n + 3 minus 5 n + 12 .
Mother: Ok what do u think you have to do first
Son: I think I have to...? Ummm Combined the like terms?
Mother: Thats right! Good Job. So it is n + 5n in one bracket with 12 and 3 in the other. Then what?
Son: Well I need two different terms so i should solve the brackets.
Mother: Okay how would you do that then?
Son: Well n + 5n is -4n?
Mother: Good Job. and in the other bracket?
Son: Oh that is easy. 12 plus 3 is 15
Mother: So what is your answer?
Son: -4n + 15
Mother: Good...
Son: Ok The next question is 2 + 4 (3 n + 8)
Mother: Why don't you go try that one then if you need help just call me
Son: Ok i think i get it now so I mite not need your help. Thanks mom
Mother: Your very welcome
://wwhttpw.xtranormal.com/watch?e=20081218183321292
The Great Big Book of Algebra
Great Big Big Book of Algebra Part 2
Script:
Travis: lets get to it
Nacho: okay
Travis: i suck at math please help me
Nacho: okay okay
Nacho: Simplify n+3 -5n+12
Travis: 8n+15?
Nacho: no buahahah
Travis: haha?
Nacho: the answer is -4n+15
Travis: how did you get that?
Nacho: I boxed up -5n and added N and then i added 3 and 12 which gave me 15, so the answer I got is -4n+15
Travis: I see now
Nacho: want another question? But it's distributive now
Travis: okay
Nacho: whats the answer to 2 + 4 (3n +8)
Travis: 14 + 3n?
Nacho: haha. you . fail
Travis: whats the answer then smart guy?
Nacho: I did the ones with the brackets first, so 4 is touching the brackets which mean we multiply. Now were doing distributive property, so we need to multiply 4 and 3n which equals 12n. Well get back to that later, now we multiply 4 and 8 which equals 24 and then we add the 2 in the beginning so the answer we should get is 12n + 26
Travis: Oh okay that helps a lot, Thanks!
The Great Big Book of Algebra
Adding Integers,
Have 'n' owe will help you learn,
As will number lines,
Subtracting Integers (Tanka)
Subtracting Integers,
Plus and Minus make Minus,
Plus and Plus make Plus,
Both Minus will make Plus,
Minus with Plus makes Minus,
Partitive Division (Cinquain)
Partitive,
Equal Groups,
Separating, answering, simplifying,
Solution for division questions,
Grouped Quantity,
Quotative Division (Diamante)
Quotative Division,
Fraction-like, simple,
Separating, dividing helping,
Doubling, tripling, increasing,
Quick, fun,
Multiplying,
Pratt's Law (Free Verse)
In the marvelous world of math,
multiplying helps a lot,
I know it's harder than a bath,
but it's better than smoking pot,
With math comes lots of laws and rules,
Pratt's Law is one of them,
knowing this will help all you fools,
When mult'plying or dividing,
All would depend on one thing,
"How many negative integers?"
even would make positive,
and odd would make negative,
All laws are made for our safety,
Pratt's Law is one of them,
It will keep you from failing,
And from Mr. Harbeck's flip flops.
Lester: Well Moe, why do you figure that?
Moe: Well, I got a different answer. This is how I did it. The question said n +3 -5n +12, right? So I put the like terms together. The n with the 5n and the 3 with the 12. That gave me 6n+15.
Lester: I still think you're wrong.
Moe: Why?
Lester: Well, when you added the n's, you forgot that the first n was a positive.
Moe: Oh.
Lester: Yeah. So instead of n +3 -5n +12 being 6n +15, its actually -4n +15.
Moe: Okay. So I guess I did 2 +4(3n +8) wrong.
Lester: Show me how you did it.
Moe: Okay. So 2 +4 times 3n plus eight. I multiplied first and got 12n then it was 2 +8 which is ten. So I have 2 +4(3n +8) equals 12n +10.
Lester: Yeah you did this wrong. In distributive property you have to multiply everything in the brackets not just the first one. What you did was multiply the first one and not 8.
Moe: Oh man!
Lester: It's okay. So if you do it properly, you will get 2 +4(3n +8) equals 2 +12n +32. And from there you will get 12n + 34.
Moe: Oh I see. Thanks a lot Lester.
Lester: Moe, you're welcome.
*This is a video of Abby and Melissa solving algebra equations with algebra tiles, not me.*
Labels: algetiles, greatbigbook, intpoetry, Nicko 8-16, onestep, xtranormal
Bobby's Great Big Book of Algebra
Bobby's Great Big Book of Algebra
Chapter 1
How many will fit inside
The chosen number
Pratt’s Law is the best in the world
Which makes everyone laugh since it is so easy
All you have to do is multiply and check
If there are odd amount of negative integers
It will be negative answer
But if it is even, your answer will be positive!
Bobby's Great Big Book of Algebra
Chapter 2
Mrs. Hot: Hello Mr. Fire . How are you?
Mr. Fire: Hello Miss Hot. Well, I'm actually doing pretty good this year. I have a lot of crazy things happening.
Mrs. Hot:Oh. Well, we'll talk about it later. I heard you've been taking classes in mathematics. Tell me how is it?
Mr. Fire: It's actually been fun, I just started the lessons last Friday. Mr. Makutohomolo who's my math teacher , has been teaching me a lot of stuff I've never heard before and when he explained it i actually understand it.
Mrs. Hot:Well, I'm glad you understand it. Actually, Mr. Makutohomolo called earlier and he gave this show two questions for you to answer. Will it be okay if i ask u?
Mr. Fire: Wow. I think I can handle it sure u can ask.
Mrs. Hot: Okay. First question is n+3-5n+12. I looked at it earlier but then i couldn't find out the answers . It's too hard.
Mr. Fire: Well, this question is a combining like terms. This was the first lesson i learned from
Mr. Makutohomolo.
Mrs . Hot: So all we have to do is combine like terms.?
Mr. Fire: Yeah, that's it. But first, we have to group like terms.
Mrs. Hot: I think that's n-5n.
Mr. Fire: That's right . Now put the other numbers in that question.
Mrs. Hot: Okay, So it will be like n-5n+3+12. I think I can answer this. So the answer is -4n+15.
Mr. Fire: WOW That's right. Are you sure you haven't done this?
Mrs. Hot: Yea, I'm sure . But thanks to you I do now. There's another question Mr. Makutohomolo told me to ask you and explain it to me. The question is 2+4(3n+8).
Mr. Fire: This kind of question is about distributive property. This lesson was taught to me the second day of my classes with him. First, you have to multiply four by three n and by four by eight.
Mrs. Hot: I think that's 12n+32. Is that right?
Mr. Fire: Yeah. That is definitely right. Good Job. Now put the number 2 in it.
Mrs. Hot: So It will be like 12n+2+32. Now if i would answer this it will be 12n+34. Is that right?
Mr. Fire: Yeah. Good Job. Now you have something to tell your kids about distributive property and combining like terms.
Mrs. Hot: Well, thank you so much for coming here tonight and answer some questions. Maybe you can come back next time.
Mr. Fire: Sure, I would totally go back next time.
Here's my video. Sorry if it's a bad movie. HAHA
Bobby's Great Big Book of Algebra
Chapter 3
Multiplicative equation
I group them and got the answer of n=-2.
Division equation
I isolated the 2 by multiplying the n by 2. Then on the other side i multiplied 10 by 2. That gives me 20. So, the answer is n=20.
Additive equation
I added a -2 since it was +2 and then i did the same thing at the other side. The answer is n=2
subtractive equation
Bobby's Great Big Book of Algebra
Chapter 4
Odun and Bobby Show
Labels: bobby816, greatbigbook, intpoetry, odun816, xtranormal
zach's int poems
ADDITION
ADDS THINGS
PUTTING,INCREASING,GAINING
COMBINED UPON TWO NUMBERS
PLUS
TANKA:
SUBTRACTING NUMBERS
DECREASING THE INTEGERS
REDUCING VALUE
ELEVEN TAKE AWAY SIX
THIS EQUALS FIVE
HAIKU:
QUOTATIVE DIVISION
FIRST YOU NEED TO FIGURE OUT HOW MANY FOURS GO INTO SIX
YOU ALSO SHOULD USE LOTS OF PICKS
JUST SO YOU DONT GET INTO A MIX
DIAMANTE
PARTITIVE DIVISION
EAQUAL, INCREASING
SIMPLIFYING, EAQUALIZING, ADDING
PICTURES, GRADUALLY - FINNISHED, GROUPED
PLANNING , STAYING, GROUPING
PLANNED, LAIDOUT
QOUTATIVE DIVISION
HAIKU:
PRATT`S LAW
TO DO THIS LAW YOU HAVE TO REMEMBER S.S.+
IT MEANS IF BOTH SIGNS ARE THE SAME THE INTEGER IS A POSITIVE
IF BOTH THE INTEGER SIGNS ARE DIFFERENT IT IS A NEGATIVE
The Great Big Book of Algebra
Poems
Adding Integers - Picture
Subtracting Integers - Haiku
Add the opposite
Never subtract integers
It'll be easy
Partitive Division -Free Verse
I bought 18 pieces of candy
It was for me and my friend Mandy
Mandy said "let's use the partitive division strategy"
And I said " Okay, teach me how, so I can see and maybe it'll help me"
She put one in her pile and one in mine
And once she finished we each got nine
Quotitive Division - Tanka
How many can fit ?
Pick two different numbers
Let's use six and three
Three can go into six twice
So the answer will be two
Pratt's Law - Free Verse
Pratt's law is very easy
All we have to remember is
if we have an even amount of positive
the answer will turn out positive
But, if we have an odd amount of negative
the answer will stay negative
Use it on a test and you'll do your very best !
Chapter 2.
Combining like terms and the Distributive Property
Script
Jaylen: Hey! What are you doing ?
Lyn: Hi! Im just thinking about Combining like terms.
Jaylen: What is Combining like terms ?
Lyn: It is just math. An example is n+3 minus 5n+12
Jaylen: Wow that seems easy, the answer to that question is negative 6n+15
Lyn: How did you get that answer ? My answer was negative 4n + 15
Jaylen: First we have to look at the question and change all the minus signs into plus signs. Then we look for all the terms that are in the question. There are only two terms. 5n and n . 5n + n equals 6n. Don't forget to do the rest of the question. 3 plus 12 equals fifteen. So the answer is 6n plus 15.How did you get negative 4n plus 15 ?
Lyn: First I thought of all the terms. There is only two terms , n and negative 5n. You have to remember when you are adding terms wether there positive or negative the same rule applies. When you add a positive with a negative the zero pairs cancel each other out. You have n and negative 5n you add them together and you get negative 4n. The rest of the question is 12 plus 3 and that equals 15. So, my answer is negative 4n plus 15.
Jaylen: But you have to remember that we aren't always adding negative and positive terms. Just remember to change the negative signs into positive signs. It will help you a lot . 5n+n+12+3= 6n + 15
Lyn: Oh man, your right. Your strategy is really good, and your right it can help.
Jaylen: Don't worry everyone makes mistakes. Let's try another question. How about 2 + 4(3n+8).
Lyn: Okay let me think about this, and use your strategy. Okay the answer is12n+34
Jaylen: Really that's weird I got 12n+10 explain how you got your answer.
Lyn: first i multiplied 4 and 3n. I got 12n. Then i multiplied 4 and 8 and I got 32. Also, you have to add thirty-two and two and you get 34, so the answer is 12n+34
Jaylen: Oh yeah ! I forgot to multiply 4 and 8. My mistake, your answer it correct.
Lyn: We have to focus on our thinking so that we could be both great people at math.
Jaylen: this was a nice discussion, let's do it again someother time. Bye !
Lyn: Bye !
Here's my movie.
Chapter 3.
Additive Type
Subtractive Type
Labels: algetiles, greatbigbook, intpoetry, onestep, traceyS 8-16, xtranormal
Thanks for all the great comments!
Thanks again,
Jocelyn
The Great Big Book of Algebra
Cinquain:Adding
Adding
Sum, Addend
Gaining, Totaling, Increasing
Combining two integers together
Plus
Free Verse:Pratt's Integer Law
When your feeling down and feeling blue
Pratt's Integer Law will show you what to do
Now I'll explain
Negative the answer will be
When the amount of negatives is even
Take a breath and the answer I will give
Don't get into a panic
The answer will always be positive
Now don't think that's the end
Because there's one more thing I have to say
When the equation has a zero don't go crying
The answer will then be zippo, natta, nothing
Now your glumness is blown away!
Free Verse:Subtracting
Subtracting
Kind of gives you a sting
Subtracting
Isn't what you predict
Subtracting
Really is adding the opposite
Free Verse:Quotative Division
Quotative Division is a breeze
I will use the numbers six and three
To explain what you will soon read
Two goes into six
How many groups of two does that leave you with
If you guessed purple monkey you got it wrong you see
The amount of groups is actually three
Picture:Partitive Division
Jimmy: Hey Sue, how are you today?
Sue: I am great!
Sue: I have a question for you
Jimmy: Shoot
Sue: Okay well its two questions from my math homework. I think I know the answers but I'm not to sure if they are right.The first question is n+3-5n+12 the answer I got for it was -6n+15. Is that correct?
Jimmy: Actually Sue that is the wrong answer. I'll show you how to get the right one. Well first you have to group the alike terms. So it would look like this n-5n+3+12. Then what you want to do is figure it out so the simplification would be -4n+15.
Sue: Oh I see how you got that!
Sue: Now for the next question. 2 + 4(3n+8). I think the answer is 12n + 10. Now that must be right.
Jimmy: No I'm sorry Sue that isn't right. I'll explain it again. This is called distributive property. First you have to multiply 3n by 4 and then 8 by 4. That gives you 2+12n+32. Next you have to group the alike terms. So it would look like this 12n+32+2. Finally figure what every thing equals put together and the simplification would be 12n+34.
Sue: Thank you so much for helping me!
Jimmy: Your welcome.
Click For My Video
What I did first was I isolated the variable. I did this by dividing 3n by 3. To balance i had to do the same to the other side. That left me with n=2. The last step is to verify.
For this question I again started with the variable. I did this by subtracting five on both sides which also created balance. The answer i got was x=8. Then i ended with verifying.
Chapter Four
Labels: algebra, algetiles, Charissa 8-16, greatbigbook, intpoetry, onestep, xtranormal
Katlyn's Great Big Book Of Algebra.
Adding can be fun
if you understand it right
very simple math
Subtracting
Switch the oppsits
Unique math
But with many rules to follow
Teaches alot
Reaches its limits with makeing math easy
Allowing the use of adding in subtracing
Cant do it yet?
Try it, its easy
I manged to do it
Number by number
Growing on the skille of subtracting integers
Integers are easy
Now that we'vd learned
Taking it in
Enough for one day
Grow with the skills
Everyone was taught
Reaching our goals to make it easy
Subtracing integers are fun if you try
Pratts Law
so there is this girl
who came up with a rule
making math easy
for everyone to know
she wrote the rule down
on this great big board
teaching the world something new
as she wrote
she spoke with great words
"odd amounts of negitives always make a negitive"
"even amount of negitives always make a postive"
finished the rule with an acomplished look on face
knowing she taught something knew
make math easy
as possible as it gets.
Quotative Division
one day I was asked by a talking little tree
"how many twos were in six"
i stood there puzzled
not for filling my task
to awnser to question
that was put before me
i replied with a shrugg
and begain to walk off
the little tree called me back
and said they would teach me
i took up there offer and recoiled back
i sat down beside the little tree
as i watched i was amazed what i saw
3 large cirlces
with 2 little boxes in each
the tree had explained that
there were three two's in six
as i got up
i tahnk the little tree
for teaching me math
i now memorized like a rock.
Chapter 2
Philip: Hello there Dwight!
Dwight:(sigh) Hi Philip....
Philip:oh..whats wrong?
Dwight:I cant figure out this algebra equation
Philip:well then maybe I can help. Whats the question?
Dwight:I doubt it but you can give it a shot if you like.
Philip:Sure!
Dwight: n+3-5n+1 , I can't figure it out!
Philip:Okay, so first, what do you think the awnser is?
Dwight: I keep getting -6n+15 but I don't know if it is right!
Philip: hhmm. That does not seem right. Let me check.....Okay!
Dwight: you got the awnser!?
Philip: yup! Well to start your awsner was wrong! the awnser is -4n+4.. Now let me show you how I got that. First you would rewrite the question and combine the like terms like so
"-5n+n+3+1" then you simplify! so you will end up with this "-4n+4" .
Dwight: Oh! now I see. Thanks Philip!
Philip: no problemo. See you later Dwight!
Dwight: Wait! . uhhmm Philip?
Philip:Yes Dwight?
Dwight: Uhhhmm.... coudl you help me with another one?
Philip:Of course!
Dwight:Alright heres the question 2 + 4(3n+8) .
Philip: ahhh... distributave property!
Dwight:exactly I just don't know how to do it! This is what I keep getting 12n + 10 , but im not sure about it.
Philip: hhhhmmm. well let me have a go at it. Ohh. I see where your going wrogn Dwight.
see the awnser would be 12n+34 silly.
Dwight: Oh! well how did you get that?
Philip:you see . what you were doing was ading 2 and 8. What you have to do its times 4 and 3 and you get 12n. and then times 4 and 8 and you get 32. so then you take the 2 and add it to 32. so you will end up with 12n+32. see!
Dwight: Ohhhh! I get it!
Dwight: Yes. Thank you Philip!
Philip: No problemo Dwight!
Chapter Four