Quiz 2

  1. Solve for x:
    1. $ 3x + 5 = 14 $
    2. $ 5x - 2 = 13 $
    3. $ 10 + 6x = 5 $
    4. $ 9 = -3x + 6 $
  2. A runner starts running at noon exactly, going 10 miles per hour. At 12:30 pm, a bicycle starts chasing the runner, going 12 miles per hour.
    1. Make a careful graph showing the positions of both the runner and the bicycle until 6pm.
    2. Find the equations describing the position of the bicycle and the runner at any time.
    3. Determine the exact time at which the bicycle will catch the runner, and how many miles both will have travelled.