Wednesday, February 18, 2009

Hi everyone.
Well, since it was a loooong weekend and I was sick yesterday, I only have one day to report on (today). Luckily, we did lots of math today! And I didn't write about math last week so let's talk about math!
So we have been learning more about integers and algebra. We have gotten into solving equations with variables and simplifying expressions.
To solve and equation with a variable:
There are two methods.
The first is to add the opposite integer of the coefficient to each side of the equation.
ex: x+2=34
x+2-2=34-2
x=32
check
2+(32)=34
34=34
The second is to divide each side by the coefficient.
ex: 4x=24
4x/4=24/4
x=6
check
4(6)=24
24=24

To simplify an expression:
You put all the integers with the variable together and use distributive property.
ex: 3x+4y-5y+x-2x+7
=3x+x-2x+4y-5y+7
=2x-y+7
*In that expression you can't use distributive property, as none of the integers have a common factor. An example with distributive property:
2x+6y-4y-8x+10
=-6x+2y+10
=2(-3x+y+5)

That's all for now!
Until next Wednesday,
-K

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