Kristy's  KRAZY  World of Equations

Welcome to my page of helpful hints.
I hope these little hints will help you to become better in math and at solving all kinds of equations. Enjoy!!!


 

*SOLVING LINEAR EQUATIONS *



 
 

          EXAMPLE

        3(7+x) -8x      (simplify)

  First you must distribute the 3. Multiply this 3 times 7 and then times x.

                             3(7)+3(x)-8x
 

 

  After multiplying, you then want to combine the x's. This will happen by subtracting (3-8).
 

                21+3x-8x

    Now you have simplified your equation!!!! GREAT JOB!!!!

                          21 -5x


 

                       EXAMPLE

                 2x+4x=12    ( solve for x )               

     First add (2x+4x) to combine the variables.

                  (2x+4x)=12

      After combining the x's, divide each side by 6 to solve for x.

                         6x =12
               6    6
 

 

  You have now solved for x!!!

                 x=2

 
 

                                                                               

   * Literal  Equations *

Examples :

    D=rt    for t                   

                                           To get t by itself

    D=rt                                 You must divide

     r    r                                   the r.

    rD=t                                 Great Job!!!!


                * Equation For A Line*

Slope Intercept Equation = ( y=mx+b )

   Example:

          (2,4)   m=1/2                         

             y=mx+b                     Insert x and y

                                             values and the m.

             4=(1/2)(2)+b              Multiply  (1/2) and

                                            2.

             4=1+b                       Now subtract the

             3=b                          1 from the 4.

  
Your y-intercept is 3!!!                

                   

Point- slope Equation= ( Y-y =m(X-x))

   Example:

             (0,4)    m=2

             y-4=2( x-0)                Insert your x, y ,

                                            and m values into

                                            the equation.

             y-4=2x                      Distribute your 2.

                 +4  +4                     Now add your 4

                                            over to leave your

                                            y alone.

            Y=2x+4                     You now have your

                                             Slope intercept

                                            Equation  to

                                            graph your line.


Standard Form Equation= ( ax+by=c )

    Example:

           Y=3x-19                You want to leave the 19 alone.

           3x-y=19               Subtract the 3x to get your S.F.E

                

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