2021/2022   WH   Geometry    
                                   Skills   Review   Packet    
              
              
                                           Name:________________________   
                                                              Teacher:   Mrs.   Schafer    
                                                                       Score:   ____/50    
              
                ● The   problems   in   this   packet   are   designed   to   help   you   review   topics   from   your   Algebra   1   
                      course.    Also,   due   to   the   Covid-19   pandemic,   this   packet   will   help   me   assess   what   topics   I   
                      need   to   revisit   to   help   you   as   you   move   into   the   weighted   honors   program.    It   covers   many   of   
                      the   concepts   you   will   use   on   a   regular   basis   in   Geometry   and   throughout   your   math   career.    
              
                ● You   will   submit   your   work   when   the   packet   is   due   so   be   sure   to   do   all   your   work.    You   may   do   
                      work   on   a   separate   sheet   of   paper.    
              
                ● This   assignment   will   be   graded   for   accuracy   and   will   be   out   of   50   points.    There   are   a   total   of   
                      45   questions.    The         packet   will   be   due   the   second   Friday   of   each   semester.    
                   
                         
                ● Please   feel   free   to   reference   text   materials,   the   internet,   your   parents/guardians,   siblings,   and   
                      peers   in   the   completion   of   this   material.        
                         
                           o    Here   are   some   resources   you   can   consult:    
                                      ▪    www.purplemath.com    
                                      ▪    www.coolmath.com    
                                      ▪    www.algebra.com    
                                      ▪    www.wolframalpha.com    
                                      ▪    www.khanacademy.org    
              
                              I   look   forward   to   meeting   and   working   with   you   in   the   2021-2022   school   year!    
              
              
               
            2021/2022   Skills   Review   Packet   for   Geometry    -   Show   all   work.   
               
               
            Simplify   the   expression.   If   not   possible,   write   simplified.    
               
              1. 3(12 d    –   7)                                       2. –9   – 10 c    – 3   – 2 c                             3. 4 c    + 10(3   – 6 c )      
                                                                                                                                     
                                                                                                                                     
                                                                                                                                     
                                                                                                                                     
                                                                                                                                     
                                                                                                                                     
               
               
               
            4. Adrian   borrows   some   money   from   his   brother   and   uses   his   weekly   allowance   to   pay   it   back.   The   graph   shows      
                 the   amount   of   money   Adrian   has   after   several   weeks.   Identify   and   interpret   the  y   - intercept.    
               
               
               
               
                                                                                  
               
               
            5. Write   an   algebraic   expression   to   represent   the   area   of   the   rectangle.   Then   evaluate   it   to   find   the   area   when   
            centimeters.    
               
                                                   
               
               
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                       2021/2022   Skills   Review   Packet   for   Geometry    -   Show   all   work.   
                          
                       6. In   the   square,  x       represents   a   positive   whole   number.   Find   the   value   of  x       such   that   the   area   is   equal   to   half   the   perimeter   
                       of   the   square.    
                                                                                               
                          
                       For   questions   7   –   12,   show   all   work.    
                       7.       
                          
                                                                                                                                                                                                                                                        8.                  =                 
                                                                                                                                                                                                                                                                           
                          
                                                                                                                                                                                                   
                          
                          
                          
                          
                          
                          
                          
                          
                          
                          
                          
                       9. –8.4 u    +   27   =   0.3u      –   173.97                                                                                                                           10.    2b   +   17   =   -3b   -   8    
                                                                                                                                                                                                   
                                                                                                                                                                                                   
                          
                          
                          
                          
                          
                          
                          
                          
                          
                       11.     7 (2 – k) =                                   2k  +  4                                                                                                                               3                        2
                                                                        −
                                                                                                                                                                                                  12.                       =                              
                                                                                                                                                                                                                  12                     y + 6
                          
                                                                                                                                                                                                   
                          
                          
                          
                          
                          
                          
                          
                          
                          
                          
                                
                          
                          
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                    2021/2022   Skills   Review   Packet   for   Geometry    -   Show   all   work.   
                       
                    13. Machine   A   can   produce   435   widgets   in   3   hours.   At   this   rate,   how   many   widgets   can   Machine   A   produce   in   7   hours?   
                         
                              
                       
                       
                       
                       
                    14.    Find   three   consecutive   integers   whose   sum   is   24.   
                       
                       
                       
                       
                       
                       
                       
                       
                       
                       
                    Solve   the   equation   or   formula   for   the   variable   specified.   
                       
                                                                                         1       2
                    15.     Solve   the   formula   V =                                     πr h  for    h .                                                                                               
                                                                                         3
                                
                       
                       
                       
                       
                       
                       
                       
                       
                       
                    16.     Solve   x   y    – 9z      =   4   for  y       
                                     
                         
                                     
                                     
                                     
                       
                       
                       
                       
                       
                       
                    17. Solve   the   formula   for   the   perimeter   of   a   rectangle   for  w   .                   P   =   2l   +   2w    
                                     
                                     
                                     
                                     
                       
                       
                       
                       
                       
                       
                       
                       
                       
                       
                       
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