math 107

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The quiz is worth 100 points.  Each problem is worth 5 points.

 

1.      Which of the following is the graph of 3x + 7y = 21

A.

 

 

B.

  

 

 

C.

 

D.

 

 

2.      Write 3 points that are on the graph of y = x2.

 

 

      3.     Find the distance between (3, 5) and (-3, 8).

 

 

 

      4.      Findan equation of the circle with diameter, 6, and center (0, 1).

 

 

 

 

      5.       Find an equation of the circle whose endpoints of the diameter are

                (3, 5) and (-1, -9).

 

 

 

      6.       Find the center and radius of the circle given by the equation,

                              (x – 4)2 + (y + 1)2 = 100

 

 

 

 

 

 

 

 

      7.        Which of the following graphs is a function.

 

 

A.      

 

B.

 

 

 

 

C.

 

 

 

D.

 

 

 

 

8.       Given the function f( x ) = x3 – x + 20, find

                    each of the following.   

 

(a)            f( 5 )

 

 

 

(b)           f( -2 )

 

 

 

 

 

(c)            f( m )

 

 

 

(d)           f( 2y )

 

 

 

 

 

 

 

 

9.   Please choose which of A through D is the domain and range of the following  

      function:

 

 

A.     Domain  [-2, -.5]; Range [-1, 0]

B.    Domain  ; Range [0, 3]

C.    Domain [-4, 2]; Range [-1, 3]

D.    Domain [-1, 3]; Range [-4, 2]

 

 

 

10.  The elevation E, in meters, above sea level at which the boiling point of

       water is t degrees Celsius is given by the function

 

                 E(t) = 1000(100 – t) + 580(100 – t)2.

 

            At what elevation is the boiling point 99.5 degrees?  

 

 

 

 

 

 

 

 

     11.   Find the slope of the line that joins the points (-3, -4) and (5, 1).

 

 

 

 

 

 

      12.  Find the slope and y-intercept of the line given by the equation,     

            .

 

 

 

 

      13.  Write a slope-intercept equation for a line with m = -4.2 and y-intercept

             of  (0, 6).

 

 

 

 

 

      14.   Write a slope-intercept equation for a line passing through (-1, 5) and

               (2, -4).

 

 

 

 

 

 

 

       15.   Determine whether the lines given by the equations 5x – y = -3 and

                y = 5x +.2 are parallel, perpendicular, or neither.

             

            

 

 

 

       16.   Determine whether the lines given by the equations  y = 2x and

                y = -.5x  are parallel, perpendicular, or neither.

             

 

 

      17.    Solve  4(3x + 2) – 7 = 3(x – 2) and then, check your answer under the

              word, CHECK, below.

 

 

 

 

              CHECK:

 

 

 

      For #18 and #19, solve the inequality.

 

#18  8x – 7 < 6x + 3

 

 

 

 

   19.  5 < x + 2 < 15

 

 

    20.   Tish Movers charges $100 plus $30 per hour to move a household across

            town.   Mundo Movers charges $55 per hour.   For what lengths of time

            does it cost less to hire Mundo Movers?   Please write an appropriate

 

            inequality, and then solve the inequality to find the lengths of time.

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