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Section 1 and 2 - Solving One and Two-Step Equations

Page history last edited by PBworks 16 years, 1 month ago

2.1-2.2 Solving One and Two Step Equations

 

Addition/Subtraction/Multiplication/Division

 

  Properties of Equality:   If a=b then...  

a+c=b+c

a-c=b-c

a x c=b x c

 

 eq=\frac{a}{c} = eq=\frac{b}{c}  (When eq=C\ne0)

 

Solution of an Equation- value of a variable that makes a situation true.

 

examples- x+5=10 (x=5), x-17=3 (x=20)

 

To solve an equation,you must use the opposites.

 

examples-

     x+17 = 20

       -17    -17

          x  = 3

 

 

 eq=\frac{x}{8} =   2

      x8   x8

       x =  16

 

 

To solve an equation with a fraction with the variable, you need to multiply by the reciprocal.

 

example-

eq=\frac{1}{4}x=3  

 

(eq=\frac{4}{1}) (eq=\frac{1}{4})x=3(4)

 

x=12            

 

To solve a two step equation, you do the same thing you would do in a one step equation but make sure you do the order of operation backwards!

 

example-

 

3x-4 = 12 

                                                                                                     +4    +4  

 

                                                                              3x     =  16

                                                                               3          3

 

                                                                                x      =  5.33

 

 

This clip shows how to do the steps in order for the one step equations

 

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This video goes in to detail about how to put the steps together in order to find the anwser in two step equations.

 

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