Wetzel                                                                                                                                                  

Math 101

Test #2

Turn off and put away all cellphones!!

Read each problem carefully and check your work. 

Determine if the given ordered pair is a solution to the equation.

1.)  (1, -4);  2x – 5y = -18                                                      2.)  (-3, 0);  -4x + y = 12

                True or False                                                                         True or False

3.)  Given the following equation,  3x + 2y = 6

                a.)  Graph

            b.)  Find the intercepts. (write as an ordered pair)

                                x–intercept:  _________                    y-intercept:  _________

4.)  Given the following equation,  2x + 2y = 8

                a.)  Write in Slope-Intercept Form:  ________________

                b.)  State the slope.  _____________

                c.)  State the y-intercept.  _____________

                d.)  Graph.

5.)  Find the slope of the line passing through the points (-4, -3) and (-4, 6).

6.)  Write an equation for a line with slope = -2 and passes through the point (0, 7).

7.)  Write an equation for a line that passes through the points (-6, 6) and (8, -12).

8.)  Answer the questions using the following functions,

                a.)  g (-2) = _________                                        b.)  f (-4) = __________

                c.)  f (x + 2) = _________                                       d.)  g (2x) = __________

9.)  Are the lines parallel, perpendicular, or neither?

                x + 3y = -4              and         12x – 4y = 9

10.)  At an exclusive country club, members pay an annual fee of $5000.  In addition, they must pay $75 for each round of golf that they play.  The equation that gives the cost (y) to play x rounds of golf per year is y = 5000 + 75x.

                a.)  Find the y-intercept of this equation.  Explain, in your own words, what this intercept signifies.

                b.)  In your own words, explain why this equation has no x-intercept with the context of this problem.

11.)  Graph the following,    2x + 8y < -4

True or False.  Write the work true if the statement is true or write the word false if the statement is false.

________  12.)  The equation x = -3 graphs a horizontal line.

________  13.)  All lines are functions.

________  14.)  A line whose slope is zero must be a vertical line.

________  15.)  The vertical line test says that if any vertical line intercepts a graph at more the one point, then the graph is a function.

________  16.)  The set of all possible y values or outputs is called the range of a function.

________  17.)  A line with a slope = 4 and another line with a slope =  must be perpendicular.