The How-To's of Equations
Marlee Moseley's Math Web Page

Good Luck!!


~The Linear Equation~
 
  • Definition- equation containing one variable
  • The solution to it- substitute in a number that makes the statement true
          *Remeber order or operations* (PEMDAS)
         Now let's try a few:
                                        3x+1+7
 3x+6
  x+2
      The answer is 2!

                 15x-15=15
                   15x+30
                     x+2      
The answer is also 2!

~Equations for a Line~
  • First of all, there are 3 ways to write a line's equation: slope-intercept form, pointslope form, and standard form. 
  • In my opinion, slope-intercept is the most bsic, and you can figure out the other forms using this one.
   *Remember: slope-intercept form is  "y=mx+b".  "m" stands for slppe and "b" for the y-intercept.
     For example:
Solve:  when m(slope)= 5 and b(y-intercept)= -3
   Written in slope-intercept form:
  a.               y=5x-3

Now, the formula for point-slope form is:                                                     
             y-y1=m(x-x1)
      Plug in what you can so far.
             y-y1=5(x-x1)
 But, you still must substitute y1 + x1.  Do this by finding a point on this line.  One would be (-3,0).
 b.           y-0=5(x+3)

All you need to do for standard form is get all the variables on one side.  But there is one rule:  NO FRACTIONS AND NO NEGATIVE X'S!!!
So, first, take slope-intercept and use algebra.
                y=5x-3
                5x-y-3=0
 c.            5x-y=3

   For More Equation Help
 

~The Literal Equation~
 
  • Definition- MORE than one variable
  • Solution- solve for variable asked for by using order of operations
             Let's try a few:
            P=w/t; solve for t
  Pt=w (first get rid of denominator)
                 t=w/p
       The answer is t=w/p!

 Now for a more difficult one:
   F=G(Mm/r^2); Solve for G
           Fr^2=Mm(G)
             Fr^2/Mm=G
 Simple as that! Just pretend numbers are there!
 

Nowyoucansolveequations
withtheBIGDOGS!!!
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