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Solving Equations




One-Step Equations
Solving One-Step Equations




• Goal
   Your final answer should be


      variable = number
             x=7
The Golden Rule of Algebra

• Whatsoever you do to one side of an
  equation, you must ALWAYS do to the other.
 (Draw a line through the equal sign to divide the equation
 into two sides.)                    Keep it balanced.
 For example: x + 3 = 5
                -3 -3
              x+0= 2
  Goal            x= 2
Undoing Operations
• To reach your goal, you must isolate the
  variable on one side by undoing the
  operation. To zero out a number (or undo it),
  you simply do the opposite operation.
       To undo addition, you subtract.
       To undo subtraction, you add.
       To undo multiplication, you divide.
       To undo division, you multiply.
Solving One-Step Equations

Problem:
               Undo addition with
               subtraction.
Solving One-Step Equations

     Solution
Solving One-Step Equations


• Undo subtraction with addition.

               x – 4 = -2       Don’t forget
                 +4 +4          your integer
                                   rules!
               x+0= 2
                   x= 2
Solving One-Step Equations


• Undo multiplication with division.

     The 3’s    3x = 9
     cancel     3    3
                1x = 3
                  x= 3
Solving One-Step Equations

• Undo division with multiplication.

                 x = 2
                 5
     The 5’s   5∙x = 2∙5
     cancel      5
                 x = 10
Solving One-Step Equations


   Remember, keep it balanced …




Now, have fun solving One-Step Equations!

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Solving One-Step Equations