Acc Algebra 1                                                                                                               Name: _______________________________ 
                         Unit 8: Lesson 7                                                                                                            Date: _________________   Period: _______ 
                                                             Solving Quadratic Equations by Factoring   (10.4 / supplement)  
                                                                                                                                Mixed Methods 
                         Essential Questions:                                  
                                    Why is factoring necessary? 
                                    Why must one side of an equation be zero in order to solve by factoring? 
                         Goal:      
                                    I can solve quadratic equations via different factoring techniques.   
                         Key Ideas / Vocabulary: 
                                    Quadratic Equation:      a polynomial equation of the second degree (highest exponents is 2) in the  
                                                                                                form of ax2 bxc 
                                    Zero Product Property:  if  (a)(b) = 0, then either a = 0 or b = 0 (or both) 
                          
                         Procedure/Steps: 
                                  1)  Set quadratic equation equal to  ____________ 
                                  2)  Factor the quadratic equation  ___________________ 
                                  3)  Use the  __________    ________________ property and set each factor equal to zero 
                                  4)  Solve each mini equation for the given  _________________ 
                                  5)  Check each answer into the  _________________ equation 
                                
                         Section 1: READY… Quadratic equation is set = 0 and already factored.  
                         1)   Solve:   (2x1)(x3) 0                                                                                  Set = 0 ?            YT 1)  Solve:    (k 4)(3k 5) 0                                                                       Set = 0 ? 
                                                                                                                                       Factored?                                                                                                                    Factored? 
                                                                                                                                                             
                                                                                                                                       2 / 3 / 4  ?                                                                                                                 2 / 3 / 4  ? 
                                                                                                                                                                                                                                                                     
                                                                                                                                                             
                                                                                                                                                             
                          
                         2)  Solve:    y(5y 7)  0                                                                                    Set = 0 ?            YT 2)  Solve:   3a(a6) 0                                                                              Set = 0 ? 
                                                                                                                                       Factored?                                                                                                                    Factored? 
                                                                                                                                                             
                                                                                                                                       2 / 3 / 4  ?                                                                                                                 2 / 3 / 4  ? 
                                                                                                                                                                                                                                                                     
                                                                                                                                                             
                                                                                                                                                             
                          
                          
                          
                    Section 2: SEMI-READY… Quadratic equation is set = 0 but NOT factored completely.  
                    3)   Solve:   8m2 2m30                                                              Set = 0 ?        YT 3)  Solve:     3x2 13x14 0                                                   Set = 0 ? 
                                                                                                           Factored?                                                                                           Factored? 
                                                                                                                             
                                                                                                           2 / 3 / 4  ?                                                                                        2 / 3 / 4  ? 
                                                                                                                                                                                                                
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                    4)  Solve:     27w2 9w0                                                              Set = 0 ?        YT 4)   Solve:      p2 8p  0                                                     Set = 0 ? 
                                                                                                           Factored?                                                                                           Factored? 
                                                                                                                             
                                                                                                           2 / 3 / 4  ?                                                                                        2 / 3 / 4  ? 
                                                                                                                                                                                                                
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                     
                    Section 3: NOT READY… Quadratic equation is NOT = 0 and NOT factored completely.  
                    5)   Solve:      x2 9x  14                                                          Set = 0 ?        YT 5)   Solve:      y2 5y  24                                                    Set = 0 ? 
                                                                                                           Factored?                                                                                           Factored? 
                                                                                                                             
                                                                                                           2 / 3 / 4  ?                                                                                        2 / 3 / 4  ? 
                                                                                                                                                                                                                
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                    6)  Solve:      2a2 10  40                                                           Set = 0 ?        YT 6)  Solve:     4z2  4  488                                                    Set = 0 ? 
                                                                                                           Factored?                                                                                           Factored? 
                                                                                                                             
                                                                                                           2 / 3 / 4  ?                                                                                        2 / 3 / 4  ? 
                                                                                                                                                                                                                
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                    Homework:                   “Factoring”  Packet     # 141-169  ODD                                  
                     
                   Ticket Out/Lesson Summary:     
                     
                   Summarize the process of solving a quadratic equation.  
                          A)  What must be done to the quadratic equation prior to factoring it completely? 
                          B)  How do you use the “Zero Product Property” to obtain your answer(s) ?