Casey's Colossal Algebra Problems
By: Casey S

Linear Equation
    Linear Equations are equations that when solved; one variable equals 1 number.
 
 
1.  4K-(2+K)=10+2K 1.  Original problem.
2.  4K-2-K=10+2K 2.  Distrubute the -1 to the (2+K)
3.  3K-2=10+2K 3.  Combine like terms (4K and -K).
4.  K-2=10 4.  All the variables need to be on one side, so subtract 2K from both sides.
5.  K=12 5.  Finally, add 2 to both sides to find your answer.
ITS EASY AS THAT!

Literal Equation
    Literal Equations have more than one variable.  They are solved for a specific variable.  A numerical answer is not available for this type of equation.
 
 
1.  P=2L+2W 1.  Original problem.
2.  P=2L+2W 2.  Solve for W.
3.  P-2L=2W 3.  Subtract 2L from each side of the equation.
4.  P-2L/2=W 4.  Divide each side of the equation by 2.  Thats your answer.

Writing the equation of a line.

    Using Slope-Intercept Form
    Slope-Intercept form is y=mx+b, where m is the slope and b is the y-axis intercept.

Write the equation of a line in slope intercept form with slope = 4 through the point (4,7).
 
1.  y=mx+b 1.  Original equation.
2.  7=3(4)+b 2.  Substitute in the points for y and x.
3.  7=12+b 3.  Multiply to simplify the problem.
4.  -5=b 4.  To find b subtract 12 from both sides.
5.  y=4x-5 5.  Re-write the problem in slope-intercept form and you'are finshed.   Simple as that!

Using Point Slope Form

Write the equation of a line in point slope form with slope=4 through the point (4,7).
 
1.  y-y1=m(x-x1) 1.  Original equation. 
2.  y-7=4(x-4) 2.  Substitute in the points for y and x.
3.  y-7=4x-16 3.  Multiply to simplify the problem.
4.  y=4x-9 4.  Add 7 to both sides. There you have it now your back to slope intercept form.  Easy as That.

Using Standard Form

Put the equation y=4x-9 into standard form.  In standard form all variable must be on left side with x at front and x can not be negative.
 
1.  y=4x-9 1.  Original problem.  Convert to standard form. 
2.  -4x+y=-9 2.  Put the x on the left side to put in standard form.
3.  4x-y=9 3.  Multiply the equation by a -1 to make the x postive.  IT IS EASY AS THAT NOW U KNOW HOW TO WORK EQUATIONS.

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