Saturday, June 9, 2007
posted by Anonymous at 5:30 PM

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Hello there Gummy Bears!!!



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We are now on our last unit and Ms. Armstrong is now teaching us Relations. Relations is a shared property of associations: a property of association such as "greater than" or "less than", shared by ordered pairs of terms or objects.

In this post of mine, I will talk about function. Now, don't be confused with "Relations" and "Function". Relation is a connection between sets of information while a Function is a kind of relation that has only one output for every input.
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The way we simplify equations is based on the fact that the function always give the same result when applied to the same input.

For example,

y=2x+3

For each value of x there is only one value of y. The value that x may assume is called the Domain and the values of y are called the Range. Thus if x=3, y=2(3)+3, y=9.
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If you have more questions about this topic please see: Relations and Functions.
Ms. Armstrong assigned Exercise#50

Remember!!!! Exams is 1 week within our reach!!! Study!!!:-)
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Saturday, June 2, 2007
posted by Anonymous at 6:21 PM
Hello there Gummy Bears!!!

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We now have another somewhat like a review on how to solve rational equations. Please remember that rational equations have variables in the numerator/denominator or both.

Steps:
  1. If you can, first factor the fractions on the both sides of the equation. Then/or, simplify the expressions by getting the LCD (least common denominator).

  2. Solve the remaining expression/Check for Restrictions.

  3. Simplify/Check for Extraneous Roots. (If you don't remember what Extraneous Roots is, it means that the restriction to the equation is also the answer which also means that the equation is not possible to solve. An imaginary number, not relevant or essential)

Now let's have a practice;
Solve the following equation:

Since, we cannot factor this equation anymore, we get the common denominator which is 6x.


29=x



Restrictions: x cannot equal to 0.


Let's have another one,






Dividers




Dividers



x cannot be equal to -2


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I hope you find my explanation and examples understandable. If you still have problems in this topic please see, Rational expressions, Purple Math and Solving Equations.

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Wednesday, May 30, 2007
posted by Anonymous at 4:12 PM
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Simplifying Compound Algebraic Fractions is just like simplifying ordinary numerical fractions only twisted with variables.




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If you still don't understand.
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I've found a site that can help you more...


Ms. Armstrong assigned exercise#51, omitting #'s


REMINDER: Exams is now 2 weeks within our 'reach'. Study!!!
Animated "WHAT?! ARE YOU SERIOUSSSS?!"

"Sadly, I'm deadly serious...."

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The explanation came from Math Online.

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Monday, May 28, 2007
posted by Anonymous at 4:58 PM
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,

If you have just noticed, we are having new topics in a fast pacing and now we're having a "review" on dividing and multiplying Algebraic Expressions.


Now, let's have a practice and refresh your minds...


Let's have this number


Multipy:







Just Remember the usual steps:

  1. If you can, ALWAYS factor first your Numerator and the Denominator before doing anything else.



2. Simplify and/or multiply any remaining factors in the numerator and/or in the denominator.
3. State the Restrictions





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Now, let's practice dividing them...



Divide:








Remember these steps ( It's just like the Multiplying steps with a very slight difference, and your life HEAVILY depends on that difference so please don't forget it!!!)





*1. Write your divisor in its reciprocal form.


2. Do the multiplication steps...





If you are still having some small difficulties on this topic, please see these sites

Also see: Module 2, Purple Math (Division), and SparkNotes.

I also searched a site for you to practice more: Math


Ms. Armstrong assigned exercise#47 omitting number 9.



REMINDER: Exam week is now fast approaching!!!!! Study all of our past subject matters!!!!!
I'm gonna miss this class.....,
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