HONORS GEOMETRY  
                               SUMMER REVIEW PACKET 
                                            (2013) 
             
            The problems in this packet are designed to help you review topics from previous 
            mathematics courses that are important to your success in Honors Geometry. Please do 
            each problem and show the work needed to arrive at your answer. Answers are 
            provided on the final two pages of the packet. Bring the packet with you to your Honors 
            Geometry class on the first day of school. Additional copies of this summer packet can be 
            printed from the Phoenix Union High School District website (in pdf) at: 
            http://www.phoenixunion.org/mathsummerpacket  
             
             
            All work should be completed and ready to turn in on the first 
            day of school. This packet will count as part of your first quarter 
            Geometry or Honors Geometry grade. 
             
             
            Enjoy your summer. We are looking forward to seeing you in the fall.                        
         GEOMETRY H Summer Packet                                              NAME _______________________________ 
                                                                               
                                                                               
         SHOW ALL WORK . Identify final answers clearly.                       Class period __________ 
                                                                               
         PART 1: Linear Equations and Inequalities                             
         1 – 10: Solve the equation                                            
         1.      2(x5)   14                                                        xx14
                                                                              6.                  
                                                                                       5 15
                                                                               
                                                                               
                                                                               
                                                                               
                                                                               
               4.2x6.4     40
         2.                                                                    
                                                                               
                                                                                   8x
                                                                              7.     2 10 
                                                                               
                                                                               
                                                                               
                                                                               
                3xx2 2        4 7
         3.                               
                                                                           
                                                                               
                                                                               
                                                                                     32
                                                                              8.               
                                                                                   yy2
                                                                               
                                                                               
                 2                                                             
         4.      3 x 5   21                                                  
                                                                               
                                                                               
                                                                               
                                                                              9.   x2x 2x15 180 
                                                                                                      
                                                                               
                                                                               
                                                                               
                                                                               
                                                                               
         5.      2    x                                                        
                 3 18                                                         
                                                                              10.           1                    
                                                                                     104       360xx
                                                                                              
                                                                                                        
                                                                                            2
                                                                                                                  
          
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             11 – 13: Solve the inequalities                                                                 15 – 16: Plot and label the points. Draw the line 
                                                                                                             that passes between them. Calculate the slope 
             11.  8(x3)              96                                                                    using the slope formula. 
                                                                                                              
                                                                                                             The slope of the line between  A(x , y ) and 
                                                                                                                                                                    11
                                                                                                                                                yy
                                                                                                                                         m 21
                                                                                                              B(x ,y ) is:                                  
                                                                                                                    22                          xx
                                                                                                                                                  21
                       32x                                                                                 
             12.                                                                                             15.  A( 0,3) and B(6,1)  
                                                                                                                                      8
                                                                                                                                      6
                                                                                                              
                                                                                                                                      4
                                                                                                              
                                                                                                                                      2
                                                                                                              
                     210x            22                                                         -10                -5                                  5                 10
             13.                                                                                              
                                                                                                                                     -2
                                                                                                              
                                                                                                                                     -4
                                                                                                              
                                                                                                                                     -6
                                                                                                              
                                                                                                                                     -8
                                                                                                              
             PART 2: Graphing Linear Equations                                                               16.  A(3, 2) and B(–1, –6) ; draw AB. 
                                                                                                                    C(–4, –2)    D(–5, –4)  ; draw CD 
             14.  Sketch a line with the appropriate slope.                                                  Calculate the slopes and explain if the lines are 
                                                                                                             parallel or not. 
                                                                                                              
                                                                                                                                      8
              
                                                                                                                                      6
                                                                                                              
                                                                                                                                      4
                                                                                                              
                           Positive                          Negative                                                                 2
                                                                                                              
                                                                                                    -10               -5                                 5                10
                                                                                                                                      -2
                                                                                                              
                                                                                                                                      -4
                                                                                                              
                                                                                                                                      -6
                                                                                                              
                                                                                                                                      -8
                                                                                                                                                              
              
                           Zero                              Undefined 
              
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       17 – 19: Rewrite each equation in slope-                     2xy6      12
       intercept form, y = mx + b.  Identify the slope,        19.                  
       m, and the y-intercept, b. Then graph.                   
                                                                
             xy6                                              
       17.                                                      
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                               20.   Graph both equations. Identify the point 
                                                               of intersection 
                                                               4x2y14            4x3y9 
             4xy2       8
       18.                                                      
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                                            
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