Lesson Basic Algebra Graphing, Slope of a Line, Solving Systems of Equations

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This Lesson (Basic Algebra Graphing, Slope of a Line, Solving Systems of Equations) was created by by rapaljer(4596) About Me : View Source, Show
About rapaljer: Retired Professor of Mathematics from Seminole State College of Florida after 36 years.

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BASIC ALGEBRA   EXAM 4 D*              NAME ___________________

SHOW ALL WORK AS NECESSARY ON THIS TEST OR ON SEPARATE PAPER. 

CALCULATORS ARE EXPECTED ON THIS TEST. 

In 1 - 8, graph the equations and inequalities.  (Show work for partial credit!)

 1.     y =  3x – 2                         2.     y =  – 2x                            3.    

                                                       

 

 4.     2x + 5y = 10                      5.    x – 3y =  – 6                        6.       y = – 4  

                                                

  

  7.                                                      8.       2x – y  <  – 6

                                                                                   
In 9 - 14, find the slope and the y-intercept.

 9.   y = – 5/2 x – 3                              10.     y =                              11.    y = – 3x + 6

       slope = _____                                        slope = _____                           slope = _____

       Y-int = _____                                         Y-int = _____                            Y-int = _____

12.   3x – y = – 6                                 13.     x + 3y = - 9                         14a)   A vertical line

       slope = _____                                        slope = _____                                slope = _____

       Y-int = _____                                        Y-int = _____                           b)  A horizontal line

                                                                                                                              slope = _______

In 15 - 16,  give the X and Y-intercepts.

15.     –3x + 2y = 12                                        16.    y = – 4x + 8

 

 

 

In 17 - 20,  find the slope between the two points.

17.       (3, 2) and (6, 7)                                  18.       (4, –2)  and  (2, 6)

           

 

  

19.       (–2, 5)  and  (6, –7)                            20.       (2, 0)  and  (0, 7)

 

 

 

In 21 - 26, solve the systems of equations.  Show all work by algebra method of your choice.

21.          3x  +  y =  14                                                22.      2x  + 3y  =  12

                 x    y =  42                                                              x  + 3y  =  –6

 

 

 

 

23.       3x - 2y =  – 10                                                24.         –3x + 7y =  4

            6x - 4y =  – 20                                                                2x – 3y = –6

 

 

 

 

 

25.       9x – 2y =  4                                                     26.         y = 4x – 25

            y = 3x – 5                                                                     x = 3y – 2

 

 

 

  

 

 

 

 

 

 

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