Trumbull High School 
                            
                    Summer Review Packet 
                            
                    For Students Entering 
                            
                       CP Geometry 
                            
    This packet is based on mathematical concepts that were mastered in CP Algebra I. All students 
    entering CP Geometry should be able to answer the problems in this packet. 
                            
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
        1.  Write an algebraic expression for “15 increased by the quotient of k and 3”. 
         
        2.  Write an equation for the sentence “The product of 8 and q is the same as 6 less than four times q.” 
         
        3.  Simplify:   
         
        a) 5(n + 7) – 12                                        b) 3(x + 2y) + x – 2y 
         
         
        c) (-9m) (4n)  
         
         
         
        4. Evaluate:  
         
        a) -3 + | -9| - |6|                                     b) 6(-4) 8 
         
         
         
        c)  52                                               d)   64        
                                                                     8 (5)
         
         
         
         
        e) 8 12 2p4k  when p4 and k 3 
             
                           
             
         
         
                                         
        5. What are the coordinates (ordered pairs) of point A, B, C, D, E, F, G, and H? 
                Also, state the quadrant or axis in which the point lies. 
                Remember to use Roman Numerals I, II, III, or IV. 
         
                A = _______  ____       E = _______  ____ 
                 
                B = _______  ____       F = _______  ____ 
                 
                C = _______  ____       G = _______  ____ 
                 
                D = _______  ____       H = _______  ____ 
                                                                 
                                 
         
                                                         
         
         
         
         
         
         
         
           
           
           
           
          6.  Solve for x:  
                                                                                   54
          a)  15x22                                                   b)    x       
                                                                                   65
           
           
          c)                                                             d)                                                        
             103(4 2x)                                                      7(xx2)83( 4)2
           
           
           
          e)                                                                                                    
               315x                                                  f) 9xx9 21
           
           
           
          g) 3.65x 8                                                                        
                                                                         h) 6(2x5)       6
           
           
           
           
          i)  73                                                            xx3 
                                                                              
             xx10                                                       j)  52
           
           
           
           
           
           
           
          7. Write an equation and find the solution.  
                        
           a)  One-half of a number x increased by 6 is the same as 15.   
           
           
           
           
          b) A hot air balloon starts on the ground, and then it goes 425 feet above the ground.  Next, it goes down 87 
          feet, then back up 126 feet.  Find the height above the ground of the hot air balloon. 
           
           
           
           
           
           
          c)        Width:  2x – 3 
                   Length:  4x 
                   If the perimeter is 42 meters, find x. 
           
           
                     
           
          8. The distance from Scerboville, Connecticut to Hortontown, Maryland is 420 miles.   
                    If the same distance on the map is 21 inches.  What is the scale of the map? 
           
           
           
           
           
           
          9.        On a map with scale 1 inch = 30 miles, two cities who are 4.5 inches away on the  map are how many 
          miles away? 
           
           
           
           
           
                     
          10.       Graph the line:           2       . 
                                         yx1
                                              5
                     
           
           
           
                                                                     
           
           
           
          11.         Write the equation of the line has slope = 2 and has y-intercept of -3. 
                                                  
           
           
          12.         Determine the equation of line AB graphed to the right. 
                                                  
           
           
                                                  
                                                                                              
           
           
                                                                                                           -1 
           
           
           
          13.         Where does the line                     cross the y-axis?         
                                                 yx31