Goodbye, Thank You

Hi guys, this is Marquee speaking.

LAMEFHM was a school project that we intended to pass to our Linear Algebra teacher. We decided to post something every week (which, as you know, horribly failed by the time half the school year passed by) so that you can learn something about Linear Algebra.

However, instead we passed a flash game that we INTENDED, I repeat, INTENDED to upload here or some site that supported flash. Unfortunately, that didn't work out because we didn't really know how to upload that kind of stuff. Not to worry, we passed the flash game and got a pretty good grade.

Now that the school year 2011-2012 is over, our high school life has ended.

There's me.

There's Karlea.

There's Julia.

There's Khristine.

And finally, there's Pam. Without her, we prolly wouldn't have understood Linear Algebra as well as we do know.

 

These four people are the ones responsible for updating this site consistently (even though I'm pretty sure our teacher decided to just grade our flash game for our own sake. Thanks sir!).

But now that we've graduated from high school, please do not expect any more updates from this blog as we'll all be busy with college. We'll all be busy working hard to become a lawyer, dentist, pilot, doctor, doctor. Not necessarily in that order.

Anyway, thank you for reading our blog this past year and understanding Linear Algebra! 

This will prolly be the last post on this blog, unless somebody decides that it's unfair that I don't have a picture here. Unless I have a picture of all of us together...

 

Thanks for reading our blog. :)

Sample Problem: Solving Algebraic Equations

Example:

• a + 1 = 3
• a = 3 - 1
• If you transpose a certain value to the other side of the equation, it "becomes the opposite of the original," so plus becomes minus, minus becomes plus, multiply becomes divide and vice versa.
• a = 2
• 2 + 1 = 3
• 3 = 3
• a = 2

Sample Problems:

• Solve for a:
• 5 + a = 7
• a - 13 = 4
• 3a  = 9
• a/2 = 10
• Solve for b:
•  9 + b = 15
• b - 2 = 1
• 2b = 2
• b/3 = 4
• Solve for c:
• 6 + c = 13
• c - 3 = 2
• 2c = 20
• 6/c = 3
• Solve for x: 
• 2 + x = 24
• x - 3 = 20
• 8x = 16
• x/7 = 5
• Solve for y:
• 8 + y = 28
• y - 4 = 12
• 3y = 15
• y/8 = 2

Sample Problem: Substituting Variables

Example Problem:

• What is the value of a + 1 if:
• a = 1
• a = 2
• a = 3
• a = 4
• a = 5

Answer to Example Problem:

• a + 1 =
• 2
• 3
• 4
• 5
• 6

Sample Problems:

• What is j + 7 if...
• j = 5
• j = 9
• j = 6
• What is u + 5 if...
• u = 4
• u = 2
• u = 8
• What is d + 9 if...
• d = 5
• d = 2
• d = 11
• What is b + 6 if...
• b = 1
• b = 4
• b = 3
• What is x + 8 if...
• x = 1
• x = 2
• x = 3

Sample Problems: Variables

Here are some sample problems regarding the previous discussed topic: Variables.
Try to answer the following orally and as fast as you can. Ready... get set... go!

• Try to identify the variable(s) in the following expressions:
• a) 7j + 8
• b) 5x - 2
• c) 9a + 3b
• If x represents the number of meters Nick sprinted for gym class, make an expression for:
• a) The distance Nick sprinted, doubled.
• b) Half of the distance Nick sprinted.
• c) The distance Nick sprinted, plus an additional 10 meters.
• If y represents the number of hours Jane spent sleeping, make an expression for:
• a) 5 hours more than the number of hours Jane slept
• b) Twice the time Jane spent sleeping
• c) Twice Jane's time sleeping, plus 5 more hours
• If z represents the number of gun shots James fired, make an expression for:
• a) The number of shots James would have made if she fired 8 more shots.
• b) The number of shots James would have made if she only fired half of the total shots she did.
• c) The number of shots James would have made if she fired 3 less shots.
• If x represents the amount of money (in PHP) Julia spent at the bookstore, make an expression for:
• a) The amount of money she would have spent if she bought one more book worth 280 pesos.
• b) The amount of money she would have spent if she didn't buy the book worth 150 pesos.
• c) The amount of money she would have spent if she had spent twice as much, and bought an additional book on sale for 75 pesos.

Done with the excercise? Still remember your answers? Wanna know how many you got correct? Wanna check if you even managed to get all the questions right?

Read ahead to see the answers!

Variables

Variables are symbols that represent a number in algebraic equations, problems, etc. Usually, they are letters but sometimes they could also be letters of the Greek alphabet, or if you'd like, they can be drawings, if you're really that creative! As I've said, a variable can represent any number, so...


Example:

• In the algebraic expression 5 + a , a is a variable and represents any number.
• In the algebraic equation 7 (a) = 28 , a is a variable that, based on the equation, represents the number 4.
• To check if this is correct, we replace the a with 4, thus making the equation 7 · 4 = 28

Usually, we use variables for when we are talking about unknown quantities.

Example:

• I know that John is 5 years older than his sister Jane. However, I do not know how old Jane is. So, if I were told to write John's age based solely on what I know, I would have to write it as 5 + x , with x being Jane's age, which is the unknown quantity keeping me from finding out how old John is.
• If a friend tells me my book weighs 3 times more than hers, but I do not know how heavy her book actually is, then I guess I'd have to write it down as:
• x representing her book's weight
• 3x for my book's weight, which is three times heavier than hers.
• If Sam grows 5 cm more, he will finally be as tall as Pam who is 160 cm tall. This statement says that Sam's current height plus 5 cm is equal to 160 cm . Thus, we shall write
• x + 5 = 160 which represents Sam's current height
• and, upon solving the problem, we come to find out that x = 155
• Therefore, we now know that Sam is 155 cm tall.

Note:

• Remember that algebraic expressions and equations can contain more than one variable.
• Example:
• 2 × (a · b)
• This algebraic expression contains two variables: a and b

LAMEFHM Year-End Special: We're Continuing Our Review Program! :)

First of all, hi. As you all know, the LAMEFHM Team is dedicated to making linear algebra easy. But truth is, we'd also like to help out our dear readers--yes, that's you!--understand math itself, not only linear algebra. Plus, we gotta face the facts here: if you don't really understand the few basics of math, then buddy, you'll definitely have a hard time with linear algebra and, most probably, a lot more of the other more complicated and complex maths you'll encounter beyond your elementary and high school years.


As our year-end special, we've decided to continue our review program! The review program I'm talking about is the one I've mentioned on the first post of this blog, wherein we intend to publish posts here concerning few of the basic math concepts.


So, you folks better be ready for a lot of posts comin' up all about math! :) Hope you guys enjoy.


BELATED MERRY CHRISTMAS, by the way, TO EVERYONE!


And


HAPPY NEW YEAR!


Though kind of late...

We wish you a Merry Christmas;
We wish you a Merry Christmas;
We wish you a Merry Christmas and a Happy New Year.
Good tidings we bring to you and your kin;
Good tidings for Christmas and a Happy New Year.
♥

QOTW from Richard van der Merwe

Quote of the Week

or rather.. "Joke of the Week" :))

Hello guys! Ktine here once again! :P We'll post a tutorial video soon, since Pam is now in the process of editing it. Plus, we have a surprise for you readers.. You have to study for it though. Wait for future announcements!

PAM: The Sum & Product Of The Roots Of A Quadratic Equation

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Yowee. ^^

As you guys have noticed, I rarely—scratch that, I meant barely—post tutorial videos here in lameFHM. Why? Well, it’s not because I’m too lazy & it takes so much time & effort to create a single video. Not because it’s exams week/ UPCAT (or any college entrance exam, for that matter) week/ school-activities-galore week. And, certainly not because I want to spare the diminutive dignity I have left.

It’s actually because I’ve been waiting for Karlea Khristine Julia Marquee any one of my group mates to be a guest star in my next tutorial vid. At this point, I've realized that that is highly impossible and quite unattainable because, apparently, the reason why they gave me this portion of the website is to save their own reputations for the sake of their grandchildren and sacrifice mine instead. Just kidding. I'm forever grateful for being a part of this website. Love & thank you guys! :)

Anyways, enjoy watching this old video entitled Abobo & The Big Bad Bitch. I made this, along with my group mates including Khristine, way back in 2^nd year for a math subject project as well. :)

Kudos (Oh wait, I don’t have that any more, do I?)!

Love,

Pam ♥

P.S. Have you guys noticed our new layout? I totally Pamela-fied it. ^^

Abobo & The Big Bad Bitch

Part 1: http://www.youtube.com/watch?v=xMyUpYrKyDQ

Part 2: http://www.youtube.com/watch?v=uytdFLXj-Vc
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