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Lesson 2­2.notebook                                                                  October 01, 2012


            Lesson 2.2:

            *Addition Property of Equality ­ for any real numbers a, b, and c, 
            if a = b, then a + c = b + c

            *Subtraction Property of Equality ­ for any real numbers a, b, and c, 
            if a = b, then a ­ c = b ­ c

            *Multiplication Property of Equality ­ for any real numbers a, b, and 
            c, if a = b, then ac = bc

            *Division Property of Equality ­ for any real numbers a, b, and c, 
            if a = b, then a/c = b/c




                                                                                                        1
Lesson 2­2.notebook                                                                  October 01, 2012


             *FYI...to solve equations..."ISOLATE THE VARIABLE".

                 ...AND..."what we do to one side of the equation...we must do to 
             the other"  [to keep them equal]

             *Also...dividing by a fraction really means....

                  ...multiplying by its "reciprocal"!




                                                                                                        2
Lesson 2­2.notebook                                      October 01, 2012


            Lesson 2.2 examples:
            Solve each equation.  Check your answer.
            A) 104  =  y  ­  67                 Check:




            B) 2 n  =  10                      Check:
                3




                                                                            3
Lesson 2­2.notebook                           October 01, 2012


           C) ­61  =  d  +  (­18)    Check:




           D) ­16  ­  (­t)  =  ­45   Check:




                                                                 4
Lesson 2­2.notebook                            October 01, 2012



             E) 4  1/5  =  3p         Check:




             F) 2              z    Check:
                5              45




                                                                  5

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  • 1. Lesson 2­2.notebook October 01, 2012 Lesson 2.2: *Addition Property of Equality ­ for any real numbers a, b, and c,  if a = b, then a + c = b + c *Subtraction Property of Equality ­ for any real numbers a, b, and c,  if a = b, then a ­ c = b ­ c *Multiplication Property of Equality ­ for any real numbers a, b, and  c, if a = b, then ac = bc *Division Property of Equality ­ for any real numbers a, b, and c,  if a = b, then a/c = b/c 1
  • 2. Lesson 2­2.notebook October 01, 2012 *FYI...to solve equations..."ISOLATE THE VARIABLE". ...AND..."what we do to one side of the equation...we must do to  the other"  [to keep them equal] *Also...dividing by a fraction really means.... ...multiplying by its "reciprocal"! 2
  • 3. Lesson 2­2.notebook October 01, 2012 Lesson 2.2 examples: Solve each equation.  Check your answer. A) 104  =  y  ­  67 Check: B) 2 n  =  10 Check:  3 3
  • 4. Lesson 2­2.notebook October 01, 2012 C) ­61  =  d  +  (­18) Check: D) ­16  ­  (­t)  =  ­45 Check: 4
  • 5. Lesson 2­2.notebook October 01, 2012 E) 4  1/5  =  3p Check: F) 2              z Check: 5              45 5