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 (If your problem is Algebra II Equations)
 
 

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How to find "X" in a slope-intercept equation:
 
y=mx+b
Find "x"
* y-b=mx
Subtract "b" from both sides of the equation
*y-b/m=mx/m
Divide by "m" on both sides of the equation and "m" becomes canceled out.
* y-b=mx
"m" is canceled out
*y-b/m=x
Answer

Now that was pretty easy wasn't it?

Lets try another one:
 
A=(b1+b2)h/2
Find "b1"
2A=(b1+b2)h
"A" is multiplied by 2
*2A/h=b1+b2
Both sides of the equation are divided by "h"
*2A/h-b2=b1
"b2" is subtracted from both sides
*2A/h-b2=b1
Answer

Are you gettin the hang of it?

Lets try just one more:
 
pV=nRT
Find "R"
pV/n=RT
Both sides are divided by "n" and "n" is canceled out on the right side.
pV/nT=R
Both sides are divided by "T" and "T" is canceled out on the right side.
pV/nT=R
Answer

I think you got it!  Now lets put our skills to work!


 


Try solving a simple equation:
 
7x-3=2(x+6)
Find "x"
7x-3=2x+12
2 is distributed to the right side of the equation
5x-3=12
2x is subtracted from both sides and 2x is canceled out on the right side.
5x=15
3 is added to both sides which makes 3 canceled out on the left side.
x=3
both sides are divided by 5 which makes 5 canceled out on the left side.
x=3
Answer

You're so good at this!


 


Try one more:
 
5x-7= -10x+8
Find "x"
15x-7=8
10x is added to both sides
15x=15
7 is added to both sides
x=1
Both sides are divided by 15
x=1
Answer

This is a toughie but I think you can do it!  Just follow the directions and don't give up!


To find an equation containing the points (3,1) and (5,2):
 
First find your slope which is 1/2
Use equation (y2-y1) =m( x2-x1)
Equation in Point-Slope Form
(y-1)  =  (.5)  (x-3)
.5 is distributed throughout the equation
y-1 = .5x - 1.5
1 is added to both sides of the equation
y =.5x - .5
Equation in point-intercept form
y = .5x - .5
Answer
y = .5x - .5

YOU DID IT!!!

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