The World of Algebra

          

Solving Linear Equations



 Example : 3(7+X) - 8X = 16

The 1st step to solve the linear equation is to distribute

the 3 to the 7 and the X.

 Example : 21 + 3X - 8X = 16




The 2nd step is to combine the X's. Example : 21 + -5X = 16
The third step is to subtract 21 from 16. Example : -5x = -5
The final step is to get X by dividing by -5.  Example : X = 1
You have now solved your Linear equation.


 
 

Solving Literal Equations

 


 Example : P = W/T Solve for T
The first step is to get T to the other side by multiplying T to both sides.  The T's on the right cancel out and you get your new equation. Example : PT = W
The second step is to get P to the other side by dividing both sides by P.  The P's cancel out and you get your final equation solved for T. Example : T = W/T




You have solved your Literal equation.


 

Writing the Equation of a Line


 

Slope can be written by in three ways : Slope-Intercept
                                                            Point-Slope
                                                           Standard Form
1st we will deal with Slope-Intercept ---------->
The equation for slope-intercept is Y=MX + B		 Example : m=5, b= 4.5
All you need to do is put the example m into the M on the equation and the b from the example into the B on the equation. Example : Y= 5X + 4.5
2nd we deal with Point-Slope---------------->
The equation for point-slope is Y-Y1 = M(X) - X1		 Example : Given point = (0,4)
                 M = 2
Put the given point and the slope into the point-slope equation. Example : Y - 4 = 2(X) - 0
Two done. One left to go.

The third and final equation is Standard Form.                          
The equation is X + Y = M + B.
 Example : Given point = (4,2)
                 M = .25
Plug everything into the equation
Example : 4 + 2 = .25 + b
Solve for b.
 Example : 6 = .25 + b

Example : 5.75 = b



  Finally everything is done.

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