[Alotties]

(6x+9)/5 < (5x+7)/6

36x + 54 < 25x + 35 (so on this line the left side has been times by 6 and the right side has been times by 5)
36x < 25x + 35 - 54
36x + 25x < -19
11x < -19
x < -19/11

I multiply each side by the opposite denominator and go from there
I find it easiest as you don't get the biggest numbers ever as you would if you maybe multiplied by a common denominator.

(If this is wrong, I apologise )

(Original post by alex7892)
Hi guys got this exam tommorow aswell. Was doing a past paper and does anyone know how to solve an inequality like this (random example btw) :


6x+9 5x+7
----- < --------
5 6



the dotted line refers to it being divided, thanks everyoneeee!!

[alex7892]

(Original post by Alotties)
(6x+9)/5 < (5x+7)/6

36x + 54 < 25x + 35
36x < 25x + 35 - 54
36x + 25x < -19
11x < -19
x < -19/11

I multiply each side by the opposite denominator and go from there
I find it easiest as you don't get the biggest numbers ever as you would if you maybe multiplied by a common denominator.

(If this is wrong, I apologise )

Thanks for this, alot of help!!! Will be on tommorow after the exam, so we can discuss!
Anyone have any specific tips?

[Venomilys]

and 100'ers? I can't be the only 100er.

[Alotties]

My tips:
1) Answer all the questions you find easiest on section A first to get the easy marks, then do the parts you understand from section B, after this go back to the harder section A questions and then go back to the difficult section B parts at the end. This is incase you run out of time so at least you've maximised the marks you are able to get.
2) Take a pencil and rubber in so that if you are unsure about some working out you can do it in pencil first and then write it in pen so that you aren't wasting space or forgetting to cross working out.
3) Don't panic!

I can't think of any others atm!
What grade are you aiming for?

(Original post by alex7892)
Thanks for this, alot of help!!! Will be on tommorow after the exam, so we can discuss!
Anyone have any specific tips?

[Alotties]

(Original post by Ilyas)
and 100'ers? I can't be the only 100er.

What do you mean by this?
I'm aiming for about 90+UMS if that is what you mean

[alex7892]

Well I'm just aiming for an A. Feel more confident in stats and C2. I found this with chemistry aswell, more confident in unit 2 than 1 haha. Should be okay though, just going to revise hard tonight and maybe repeat a few past papers!

[Alotties]

(Original post by alex7892)
Well I'm just aiming for an A. Feel more confident in stats and C2. I found this with chemistry aswell, more confident in unit 2 than 1 haha. Should be okay though, just going to revise hard tonight and maybe repeat a few past papers!

I'm aiming for a high A seeing as I got a B in Jan
In some years my B would have been an A Silly boundaries!
I am pretty confident with C2 (but I do need to revisit it as I haven't covered it for a while) and I'm getting better with S1!
I am very scared of Unit 2 Chem! What board are you on?

[jordan95]

(Original post by Salvatore8)
Anymore ideas on what could come up?
and just to ask, how did you get 78 first time round?

Hi! I honestly don't know how I got 78! Although lots of people seem to get 100 UMS on C1.

I think it's pretty much guaranteed that the following will come up:
Surds
Binomial expansion/Coefficient of x^y
Cubic equations-Sketching the graph of, finding the roots of, finding remainder when dividing by an expression.
Rearranging equations
Circles

I hope the 'implying' questions don't crop up again- they confuse me

Hope it goes well for you tomorrow!

[King of the Jungle]

hi i need a lot of help with this question 11 on this paper http://www.mei.org.uk/files/papers/c107ja_3hoza9.pdf

[Axion]

(Original post by King of the Jungle)
hi i need a lot of help with this question 11 on this paper http://www.mei.org.uk/files/papers/c107ja_3hoza9.pdf

For 11A.

Just read off on the y axis y=4 and write down x coordinates of intersections.

For 11B

Draw the line -x +4 = y

[jordan95]

(Original post by AspiringGenius)
Can you help me with factor or remainder theorum please? Its the only thing I haven't really learnt properly. I'm trying to teach myself now but we didn't go over it in class.

My question is from June 2010 paper, using factor theorum,

f(x)=x^3 + 6x^2 - x - 30. Using factor theorum find a root of f(x)=0 and factorise completely.

Now I can factorise completely, and by observation I can tell that x=2 is a root of this polynomial. This means the fully factorised version becomes f(x)=(x-2)(x+3)(x+5), but as this is all by observation, I am prettty certain I'd lose all the marks.

How wuld you go about this?

Ok, sorry if someone has already explained this to you.
By observation you have found that x=2 is a root, therefore you can state that (x-2) is a factor of f(x)=0

At this stage, whilst some would do division, I would adopt a more algebraic approach (probably because the division method blags my head!):

(x-2)(x^2+Bx+C)=x^3+6x^2-x-30

Multiplying these brackets gives:
x^3+Bx^2+Cx-2x^2-2Bx-2C
Which can be expressed as:
x^3+(B-2)x^2+(C-2B)x-2C

So x^3+(B-2)x^2+(C-2B)x-2C=x^3+6x^2-x-30

(B-2)=6 therefore B=8
(C-2B)=-1 therefore C=15

We can now plug these values of B and C into the identity (x^2+Bx+C) to give:

(x-2)(x^2+8x+15)

By inspection, (x^2+8x+15) can be factorised to (x+3)(x+5).

This gives the full factorisation of (x-2)(x+3)(x+5)

Hope that helps!

[alex7892]

(Original post by Alotties)
I'm aiming for a high A seeing as I got a B in Jan
In some years my B would have been an A Silly boundaries!
I am pretty confident with C2 (but I do need to revisit it as I haven't covered it for a while) and I'm getting better with S1!
I am very scared of Unit 2 Chem! What board are you on?

Haha oh fair, I'm sure you will do well and we can all talk about this tommorow. I am on AQA what about you?

[AspiringGenius]

(Original post by jordan95)
Ok, sorry if someone has already explained this to you.
By observation you have found that x=2 is a root, therefore you can state that (x-2) is a factor of f(x)=0

At this stage, whilst some would do division, I would adopt a more algebraic approach (probably because the division method blags my head!):

(x-2)(x^2+Bx+C)=x^3+6x^2-x-30

Multiplying these brackets gives:
x^3+Bx^2+Cx-2x^2-2Bx-2C
Which can be expressed as:
x^3+(B-2)x^2+(C-2B)x-2C

So x^3+(B-2)x^2+(C-2B)x-2C=x^3+6x^2-x-30

(B-2)=6 therefore B=8
(C-2B)=-1 therefore C=15

We can now plug these values of B and C into the identity (x^2+Bx+C) to give:

(x-2)(x^2+8x+15)

By inspection, (x^2+8x+15) can be factorised to (x+3)(x+5).

This gives the full factorisation of (x-2)(x+3)(x+5)

Hope that helps!

thanks, but I already knew the answers, ti was just clarity of working I was concerned about.

[tehforum]

(Original post by jordan95)
Hi! I honestly don't know how I got 78! Although lots of people seem to get 100 UMS on C1.

I think it's pretty much guaranteed that the following will come up:
Surds
Binomial expansion/Coefficient of x^y
Cubic equations-Sketching the graph of, finding the roots of, finding remainder when dividing by an expression.
Rearranging equations
Circles

I hope the 'implying' questions don't crop up again- they confuse me

Hope it goes well for you tomorrow!

They don't.

(Original post by jordan95)
Ok, sorry if someone has already explained this to you.
By observation you have found that x=2 is a root, therefore you can state that (x-2) is a factor of f(x)=0

At this stage, whilst some would do division, I would adopt a more algebraic approach (probably because the division method blags my head!):

(x-2)(x^2+Bx+C)=x^3+6x^2-x-30

Multiplying these brackets gives:
x^3+Bx^2+Cx-2x^2-2Bx-2C
Which can be expressed as:
x^3+(B-2)x^2+(C-2B)x-2C

So x^3+(B-2)x^2+(C-2B)x-2C=x^3+6x^2-x-30

(B-2)=6 therefore B=8
(C-2B)=-1 therefore C=15

We can now plug these values of B and C into the identity (x^2+Bx+C) to give:

(x-2)(x^2+8x+15)

By inspection, (x^2+8x+15) can be factorised to (x+3)(x+5).

This gives the full factorisation of (x-2)(x+3)(x+5)

Hope that helps!

Cumbersome method.

[AspiringGenius]

:s Exam tomorrow! afew weeks ago i was fine about taking this, now I'm like "nooo don't eat me maths, DONT EAAAATTT MEEEEEE"

[Salvatore8]

(Original post by jordan95)
Hi! I honestly don't know how I got 78! Although lots of people seem to get 100 UMS on C1.

I think it's pretty much guaranteed that the following will come up:
Surds
Binomial expansion/Coefficient of x^y
Cubic equations-Sketching the graph of, finding the roots of, finding remainder when dividing by an expression.
Rearranging equations
Circles

I hope the 'implying' questions don't crop up again- they confuse me

Hope it goes well for you tomorrow!

Wait..
That sounds like C2?
Are you sure about that coming up on C1

Thanks for the Luck! much of it is needed

[AspiringGenius]

(Original post by Ilyas)
and 100'ers? I can't be the only 100er.

i see ya trollin', I hatin' (jokes, I can't hate anybody, well done!)

(Original post by Salvatore8)
Wait..
That sounds like C2?
Are you sure about that coming up on C1

Thanks for the Luck! much of it is needed

That is C1 I'm afraid, are you with the right exam board?

We have:
-basic algebra
-coordinate geometry
-polynomials (including binomial expansion)
-surds and indicies
-uncertainty
-language of mathematic (fun fun fun!)

[jordan95]

(Original post by tehforum)
They don't.




Cumbersome method.

It may be a 'cumbersome' method, but it's the one to which I afford preference. In fact, I wouldn't even call it cumbersome, when it takes all of a minute to complete.

[AspiringGenius]

(Original post by jordan95)
It may be a 'cumbersome' method, but it's the one to which I afford preference. In fact, I wouldn't even call it cumbersome, when it takes all of a minute to complete.

I always find even if something is slightly cumbersome, it's best to do because they specifically state on the paper that answers without sufficient working may not gain marks, so it's always best to be safe and not miss out any potential mark awarding steps

[Salvatore8]

(Original post by AspiringGenius)
i see ya trollin', I hatin' (jokes, I can't hate anybody, well done!)


That is C1 I'm afraid, are you with the right exam board?

We have:
-basic algebra
-coordinate geometry
-polynomials (including binomial expansion)
-surds and indicies
-uncertainty
-language of mathematic (fun fun fun!)

Now that you Mention it.. I dont think i am?
What Exam Board is this?
WOW.... You Nearly Gave Me a Heart attack! Phew