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Lesson 1­4.notebook                                                                  September 10, 2012


            Lesson 1.4:

            *Distributive Property ­­>(b + c) = ab + ac
                                     a
            a(b ­ c) = ab ­ ac

             ex­­>  3(2 + 5) = 


             ex­­>4(9 ­ 7) = 

            *like terms ­ terms that contain the same variables, with corresponding variables 
            having the same power

                 5x2  +  2x  ­  4                6a2  +  a2  +  2a

                       3 terms              like terms      unlike terms




                                                                                                          1
Lesson 1­4.notebook                                                   September 10, 2012


             *The coefficient of a term is the numerical factor.

                 ex­­>  6ab         x2            y
                                    3

             coefficient is:


             *An expression is in "simplest form" when it contains 
             no like terms or parentheses.




                                                                                           2
Lesson 1­4.notebook                                                                    September 10, 2012

           Lesson 1.4 examples:
           Use the distributive property to rewrite each expression.  Then evaluate.
           A) 6(4 + 5)


           B) (2 + 1)7


           Use the distributive property to rewrite each expression.  Then simplify.
           C) ­4(x + 2)


           D) (2x ­ 6)3




                                                                                                            3
Lesson 1­4.notebook                                                         September 10, 2012


            Simplify each expression.  If not possible, write simplified.
            E) 13r  +  5r


            F) 5x2  +  3x  +  3x2


            G) 4(fg + 3g) + 5g


            H) b2  +  13ab  +  13a2




                                                                                                 4

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8th alg -L1.4--sept10

  • 1. Lesson 1­4.notebook September 10, 2012 Lesson 1.4: *Distributive Property ­­>(b + c) = ab + ac a a(b ­ c) = ab ­ ac ex­­>  3(2 + 5) =  ex­­>4(9 ­ 7) =  *like terms ­ terms that contain the same variables, with corresponding variables  having the same power 5x2  +  2x  ­  4 6a2  +  a2  +  2a 3 terms like terms unlike terms 1
  • 2. Lesson 1­4.notebook September 10, 2012 *The coefficient of a term is the numerical factor. ex­­>  6ab x2 y   3 coefficient is: *An expression is in "simplest form" when it contains  no like terms or parentheses. 2
  • 3. Lesson 1­4.notebook September 10, 2012 Lesson 1.4 examples: Use the distributive property to rewrite each expression.  Then evaluate. A) 6(4 + 5) B) (2 + 1)7 Use the distributive property to rewrite each expression.  Then simplify. C) ­4(x + 2) D) (2x ­ 6)3 3
  • 4. Lesson 1­4.notebook September 10, 2012 Simplify each expression.  If not possible, write simplified. E) 13r  +  5r F) 5x2  +  3x  +  3x2 G) 4(fg + 3g) + 5g H) b2  +  13ab  +  13a2 4