Page 84 - Math Course 1 (Book 1)
P. 84

Solving Fractions




        Multiply Algebraic Functions                        Your Turn!


         Example                                            SHOPPING


              3p²   q²                                      Melissa is buying a sweater
         Find          Write the product in simplest form.
               q     r                                      originally priced for $81.
                                                            The sweater is discounted by  2
          3p²   q²  =  3p   p  q    q  The GCF of q² and                               3
           q    r      q        r    is q.
                                                            Find the amount of the discount.


                              3p²q                          A. $64.00
            Answer          =         Simplify.             B. $54.00
                                r
                                                            C. $50.67
                                                            D. $27.00
        REAL WORLD EXAMPLE
                                                             Answer
          RUNNING TRACK

          The track at Cole’s school is                    Multiply Algebraic Functions
            1  mile around.
            4                                                     5mn³    mp
          If Cole runs one lap in two                       Find                       Write the product in simpliest
                                                                           n²
                                                                    p²
                                                            form
          minutes, how far (in miles)
          does he run in 30 minutes?                         A.    5mm
                                                                   p
                                1  mile.
                                4
          Write as Fraction:                                 B.    5m²
                             2 minutes                             pn
                 1  mile.
                 4                                           C.    5m²n
           d =         30 minutes Distance = rate    time          p
              2 minutes
                 1  mile.                                    D.  5m²n³p
                 4      15                                        p²n²
             =         30 minutes Divide by the
            1  2 minutes          common factors
                                  and units.                 Answer

               1  15
             =       mile.        Multiply.
               4   1
                                                            WALKING
              15       3                                               2
             =    or  3           Simplify.
                                                                       3
               4       4                                    Bob walks              mile in
                                                            12 minutes. How far does
                                    3
                         Cole runs          miles in 30
                                   3
            Answer                  4                       he walk in 30 minutes?
                         minutes.
                                                             A.   3  3  miles
                                                                   4
                                                             B. 2 miles


                                                             C.   1  2  miles
                                                                   3

                                                             D.   1  1  miles
                                                                   3

                                                              Answer

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