MATH 100 Quiz 3

You may use a calculator on this quiz. You may not use a cell phone or computer. To receive full credit please show your work carefully and give justifications for your answers. If you find that you are spending a lot of time on one problem, leave it blank and move on to the next.
  1. Consider the equation 3/(x+1) + 2 = 11/(x+1).

    a) (15 pts) What values of x make one of the denominators zero?



    b) (15 pts) What values of x make the equation true?



  2. (25 points) Solve for x: x2 - 2x - 24 = 0



  3. Consider the graph of the equation y = 3x + 6.

    a) (25 points) Find the x-intercept(s) of this graph.



    b) (20 points) Find the y-intercept(s) of this graph.



Bonus (5 points) The graph of an equation is shown on the right. If (a,3) is a solution to the equation, what is the value of a?