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The study of Algebra

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The study of Algebra Empty The study of Algebra

Post by Ahmed Fri Jan 23, 2009 9:09 pm

If you were to study for an important test on Algebra, which Algebra topics would you study or focus more on?

P.S.: State specific topics.
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Post by Doc Fri Jan 23, 2009 9:17 pm

facotring .. solving for the unknown variable .. graphing ..functions ..

i have a precalc review quiz .. what do i study for? lol ..
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Post by jj16802 Fri Jan 23, 2009 11:14 pm

everything, obviously
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Post by Ahmed Sat Jan 24, 2009 1:09 am

I forgot to mention that you have less than a week to study.
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Post by preid1220 Sat Jan 24, 2009 1:20 am

we will help you,... by chearing you on cus i stink at math =D
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Post by Ahmed Sat Jan 24, 2009 1:25 am

On help on functions anyone?
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Post by Doc Sat Jan 24, 2009 2:50 am

have you done functions?
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Post by Hassan Sat Jan 24, 2009 10:42 am

what kind of help? (help solving, expalaining, etc)
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Post by Ahmed Sat Jan 24, 2009 3:37 pm

Sayfullah wrote:have you done functions?

You see Sayf...I am sure, some people forget the things that they learned last year.

This whole year I took geometry...all of a sudden I am taking an algebra test...so you forget things...

I took it before however.

Give me an example of a function question Hassan.
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Post by Doc Sat Jan 24, 2009 3:55 pm

An easy one .. f(x) = 5x-3

Solve if x = 4
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Post by Ahmed Sat Jan 24, 2009 4:20 pm

Lol, those are functions??

Those are th easiest questions Very Happy

x=17

COrrect?
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Post by Doc Sat Jan 24, 2009 4:31 pm

lol that was an extremely easy and simple one ....try tis one:

if f(x) = x^2+2x+3 find

f(x + h) - f(x)
-------------
h

*Note* this is a fraction ...
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Post by Ahmed Sat Jan 24, 2009 4:38 pm

Wait...are these 2 questions?

Also what's the "h"?
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Post by Doc Sat Jan 24, 2009 4:45 pm

I forgot to mention inequalities and absolute values ... might wanna try those too ... and rationalizing, complteting the square, exponents, radicals, simplifying ... a few more problems:

rationalize the denominator:
1
---
√x - 1

simplify:

(27x^3)^2/3

x+1 x^2-2x+1
----- * --------
x-x^2 x^2-1

*Note* the above problem is a fraction .. it's the same thing as x+1 / x-x^2 * x^2-2x+1 / x^2-1


solve for x

2x^2 + 1 = 4x

And forget that last problem I gave you .. that's actually more related to calculus than algebra ... here's a better problem related to functions:

find the domain of:
f (x) = 15 / x-3
or
15
----
x-3
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Post by Ahmed Sat Jan 24, 2009 4:57 pm

1
---
√x - 1



√x - 1
-------
x- 2√x +1

Correct?

(27x^3)^2/3 ==I don't believe I took this...but refersh my memory please.

x+1 x^2-2x+1
----- * --------
x-x^2 x^2-1==This isn't clear...is that 1 fraction or 2?

I am stuck with the 4th one, is it correct so far: 2x^2-4+1=0

What do you mean find the "domain"?
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Post by Doc Sat Jan 24, 2009 5:14 pm

first one is actually:
√x+1
--------
x-1

when you rationalize a problem like this you multiply both the numerator and denominator by the conjugate of the denominator ... the conjugate for the denominator for this problem is √x + 1 .. since the original denominator was √x - 1 .. the conjugate is basically the opposite of the original term ...

(27x^3)^2/3 ==I don't believe I took this...but refersh my memory please.

iut's 27x raised to the third power in paranthesis all raised to 2/3 .. if you haven't taken it just forget it ...
x+1 x^2-2x+1
----- * --------
x-x^2 x^2-1==This isn't clear...is that 1 fraction or 2?
this is just like the one you posted in the HW forum ... multiplying two fractions ...

I am stuck with the 4th one, is it correct so far: 2x^2-4+1=0
yeah you're right so far ... except you forgot to put the x after the 4 .. it's 2x^2-4x+1=0 not 2x^2-4+1=0 ... try using the quadratic formula for that ...
What do you mean find the "domain"?

you don't know what the domain, range and stuff are?
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Post by Ahmed Sat Jan 24, 2009 5:39 pm

I thought you had to use FOIL, as in (√x + 1)(√x + 1)...when multiplying such things?

Ok, is it:

(x-1)
------
x(1-x)

=========================
Yes, I just forgot to write the x, when posting it here.

How would you solve it...there are no factors that fit 2x^2-4x+1=0...
=========================
I do, but I don't understand what do you eman by solve for them?

Aren't they for graphing?
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Post by Doc Sat Jan 24, 2009 6:00 pm

argh just forget it man .. just study whatever you learned Rolling Eyes
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Post by Ahmed Sat Jan 24, 2009 6:06 pm

Could you give me real questions...I am studying right now from a Barron's book.
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Post by Ahmed Sat Jan 24, 2009 10:47 pm

You know...my weakest skill in math is not beign able to focus...my mistakes are always the stupidest mistakes...such as not reading a word like "false" or "true" or "right angles" *sigh*
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Post by Doc Sat Jan 24, 2009 10:58 pm

|3-6x|>1
state in interval notation
the long vertical lines are absolute value brackets
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Post by Ahmed Sat Jan 24, 2009 11:00 pm

x>-4/6
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Post by Doc Sat Jan 24, 2009 11:08 pm

nevernmind ...
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Post by Ahmed Sat Jan 24, 2009 11:27 pm

Is it right -___-?
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Post by Doc Sat Jan 24, 2009 11:40 pm

ok this one

4x 6
--- * ----
x^2-9 x^2+x-12
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