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**eurasiangurl****Member**- Registered: 2005-02-06
- Posts: 5

If anyone can help me with this please do:)

Chapter 10 HIGHLIGHTS NOTE:when I type little# it mean the number next to the whole number

STATE WHETHER THE SENTENCE IS TRUE OR FALSE,REPLACE THE WORD IN PARENTHESIS OR NUMBER TO MAKE A SENTENCE TRUE

1. The number 27 is an example of a (PRIME number).

2.(2x) is the greatest common factor(gcf)of 12x small 2 and 14xy

3.(66) IS AN EXAMPLE OF A PERFECT SQUARE NUMBER

4.61 is a (factor) of 183

5.The prime factorization for 48 is (3times 4 little 2)

6.x small 2-25 is an example of a (perfect square trinomial.)

7.The number 35 is an example of a (perfect square trinomial)

8. (x2-3x-70) is an example of a prime polynomial

9. The (unique factorization theorem)allows you to solve equations.

10.(b-7)(b+7) is the factorization of all difference of squares.

STATE WHETHER EACH NUMBER IS PRIME OR COMPOSITE.IF THE NUMBER IS COMPOSITE,FIND ITS PRIME FACTORIZATION.

12. 33

14. 301

16. 378

FIND THE GCF OF THE GIVEN MONOMIALS

18. 12,18,40

20. 16MRT,30M SMALL2

22. 60X SMALL2 Y SMALL2,35XZ SMALL3

24.6A SMALL2,18B SMALL2,9B SMALL3

FIND EACH POLYNOMIAL

26. 6X SMALL2 y+12xy+6

28. 26ab+18ac+32a small a

30. a+a small2 b+a small3 b small3

FACTOR EACH POLYNOMIAL

32.4rs+12ps+2mr+6mp

34.dm+mr+7r+7d

36. a small3 -a small2 b+ab small2+b3

FACTOR EACH TRINOMIAL,IF POSSIBLE.if the trinomial cannot be factored using integers,write prime.

38. x small2 -9x-36

40. b small2+5b-6

42. 3a small2 -13a +14

FACTOR EACH POLYNONMIAL,IF POSSIBLE.IF THE POLYNOMIAL CANNOT BE FACTORED USING INTEGERS,WRITE PRIME.

44.25-9Y SMALL2

46.2Y SMALL3 -128Y

48.1/4N SMALL2-9/16R SMALL2

FACTOR EACH POLYNOMIAL,IF POSSIBLE.IF THE POLYNOMIAL CANNOT BE FACTORED USING INTEGERS,WRITE PRIME.

50.9K SMALL2-12K+4

52.32N SMALL2-80N +50

54. 49M SMALL2-125M+81

sOLVE EACH EQUation and check your solution

56.y(y+11)=0

58. 2a small2-9a=0

60.3/4y=1/2y small2

62.2m small2 +13m=24

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

A bit of a long question - but I can start helping you.

1. 27 is not a prime number, because it can be divided by 9 and 3. It is, however 3x3x3, or 3 cubed, so it is a cubic number.

3. 66 can't be a square number: 8x8=64, and 9x9=81, so 64 and 81 ARE, but 66 ISN'T

12. If it isn't prime it is composite (ignoring 1 which is a special case). 33 can be divided by 11 and 3, so ISN'T prime, so is COMPOSITE

14. 301 can be evenly divided by 7, so must be .....

18. GCF for 12, 18, 40: 12=2x2x3, 18=2x3x3, 40=2x2x2x5. They all have 2 in common, so GCF=2. (Can't get any better than 6,9,20)

20. 16MRT,30M SMALL2 - by "SMALL2" I imagine you are having difficulty writing "squared" - how about I write it as ^2, so rephrase that as:

16MRT, 30M^2. Well, the GCF of 16 and 30 is 2, and we can also see that one "M" is common. So the answer is 2M.

That is all I have time for at the moment, maybe someone else can do a bit?

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**eurasiangurl****Member**- Registered: 2005-02-06
- Posts: 5

Thank you for explaining to me how to do it.My teacher at school talks way to fast,and when I ask her one on one help she still talks to fast and I end up not understanding.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

Not a problem, eurasiangurl, here is another:

To solve algebra, you just have to move things around until it works out. A bit like a puzzle:

Let's try Problem No 56:

y(y+11)=0

Let's expand it out a little:

y times (y+11) =0 can be turned into:

y times y + y times 11 =0

or:

yy + y11 =0 , this is NOT the right way to write it down! so we will correct it to:

y^2 + 11y =0 (where y^2 means y-squared, or simply y times y)

Now, subtract 11y from both sides to get:

y^2 + 11y - 11y = 0 -11y

simplify it:

y^2 = -11y

Now, divide both sides by y:

y^2 /y = -11y /y

simplify:

y = -11

TA DA!

Just to be safe, let's check it:

y(y+11)=0

substitute "-11" for "y":

-11 times (-11 + 11) = 0

-11 times (0) = 0

0=0

Great, we got it

If there was a part of this you didn't follow, let me know.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**eurasiangurl****Member**- Registered: 2005-02-06
- Posts: 5

hey are you a teacher?and do you have yahoo messanger.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

That is a great avatar, eurasiangurl.

I used to teach at Uni. I can't give you one-on-one help, but feel free to post any questions and I or another member can respond. That way other people get to the chance to see questions and answers, or perhaps to correct me if I am wrong!

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**eurasiangurl****Member**- Registered: 2005-02-06
- Posts: 5

really which uni,and how old are you,are you a female or male.What made you decide to make a math is fun forum.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

I started the forum to give people a chance to discuss math problems, say good (or bad) things, share discoveries and generally express themselves. It is just good fun to help.

So, how are you getting on with your math? Give us another problem.

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

MathsIsFun wrote:

I used to teach at Uni.

I want to that for my job when I leave school. Is it....well, an easy job and stuff?

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**jam-pot****Member**- Registered: 2005-04-20
- Posts: 142

to teach at uni you must need the correct qualidfications for example if you was to be a maths teacher you must have special grades and things *qualifications* in that subject.

also im not quite shure if this information is correct but i can only try:)

the allmighty spatula * want a tip* dont eat yellow snow: the meaning of life is a number and that number is 1

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

Yeah, it is like teaching at Kinder it is all specialised on teaching skills, then as you go up the grades till Uni the emphasis slowly swaps over to knowing the subject you are teaching and less on your actual teaching skills.

As a result there can be really good teachers at Uni, and sometimes really bad ones who know their subject very well but have no ability to communicate it. I have studied under, and worked with, both!

A Uni job is not easy, but if you stay focused on helping the students it can be very rewarding.

Stay out of staff politics, though. By that I mean all the gossip and who is trying to take over whose job, and why this or that guy is really stupid with his theories, etc. But that advice applies to any job, really

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**jam-pot****Member**- Registered: 2005-04-20
- Posts: 142

except some jobs

i.e. cadets

* i am a cpl in cadets*

it begins learning the moi (method of instruction)

then as you learn more things you will teach them.

but you will get reminders and updates * if anything changes*

on your moi and things like that but also you may need certain qualifications such as pi qualification * physical instructor*

but otherwise it is like most jobs.

the allmighty spatula * want a tip* dont eat yellow snow: the meaning of life is a number and that number is 1

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**jammergirl2005****Member**- Registered: 2005-04-26
- Posts: 1

im need help solving problems like 5g+h=g and u have to find g and other probs like that.

after that u have to find the slope and map it

HELP PLEASE

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

Start with: 5g+h=g

Subtract g from both sides: 5g+h-g=g-g

Simplify: 4g+h=0

Subtract h from both sides: 4g+h-h = 0-h

Simplify: 4g=-h

Divide by 4: g=-h/4 DONE

See, we can solve stuff ... but you need to give us a bit of time

The slope would be -1/4 (or -4 depending on whether g goes up-down or left-right) - the easiest way to graph it would be to get some graph paper (duh!) and plot some points using the formula, and connect the points with a ruler.

For example, plot:

When h=8, then g=-2

When h=0 then g=0

When h=-8, then g=2

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**jam-pot****Member**- Registered: 2005-04-20
- Posts: 142

just give us time and all will be solved

the allmighty spatula * want a tip* dont eat yellow snow: the meaning of life is a number and that number is 1

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**Mathsyperson****Guest**

For y(y+11)=0, surely y=0 as well?

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

That is True!

But you should always be careful of zeros! Because zero times anything is zero. So I always work around them.

But in this case, YES, zero also works.

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**Milos****Member**- Registered: 2005-05-06
- Posts: 44

y(y+11)=0, There have to be 2 possible solutions for this because it is square equation y^2+y11=0, so your explanation is incomplete.

y1,2=(-b+-sqrb^2-4ac)/2a. As c=0 > y1,2=(-11+-11)/2

1st y1=(-11-11)/2=-11 2nd y2=(-11+11)/2=0

This is longer and more complicated but it proofs that there are two solutions. When we meet such a problem I would suggest this:

y(y+a)=0 where a is known number this equation can be correct when one of the agents =0

y=0 V y+a=0

y=-a

*Last edited by Milos (2005-05-07 11:04:25)*

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**stewie****Member**- Registered: 2005-03-28
- Posts: 820

jam-pot wrote:

except some jobs

i.e. cadets

* i am a cpl in cadets*

it begins learning the moi (method of instruction)

then as you learn more things you will teach them.

but you will get reminders and updates * if anything changes*

on your moi and things like that but also you may need certain qualifications such as pi qualification * physical instructor*

but otherwise it is like most jobs.

Oh no.. u do cadets - i bet u're just like greg

HAPPY HAPPY, JOY JOY

Fatboy Slim is the band of the 90s, thats if you want to call it a band because its really a one man name

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

Hi again, Milos. Yes, you are perfectly right! Careful of those x^2 terms!

BTW you could have a go at some of the other problems that eurasiangurl posted ...

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**Helpster****Guest**

~Hi im looking for sum help in maths in algebra like when people do it i just dont understand and when it comes to a test it makes me worrie can u help me please

**jhovy****Guest**

can you helpp me?! i have a project. the question is this.

1. why math seems to be the hardest subj.?!

2. why math is your favorite subj.?!

please answer it.... i need 50 persons....

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,632

Hi jhovy, we will try and help (but you may not get 50 answers!), but before we do, could you:

* Join the Forum

* Post this as a "New Topic"

* explain in more detail what the project is about

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