1.   What is a conjecture?
    A. an educated guess that hasn't been proved yet
    B. a ''shot in the dark'' guess that hasn't been proved yet
    C. an educated guess that has been proved
    D. a ''shot in the dark'' guess that has been proved
    Hint

  2.   What is true of the second differences for the equation x2 – 6x + 12?
    A. they decrease by 1
    B. they increase by 12
    C. they increase by 1
    D. they are constant
    Hint

  3.   What type of relationship does the equation have if its second differences are constant?
    A. cubic B. constant
    C. quadratic D. linear
    Hint

  4.   Consider the following conjecture. If an even number is written 2k, where k is a whole number, then 2k + 1 must be an odd number. What can be your next course of action in dealing with this conjecture?
    A. test every possible case to prove the conjecture
    B. all answers are correct
    C. find a counterexample to disprove the conjecture
    D. develop an argument to prove the conjecture
    Hint

  5.   Find the values for m and n which the conjecture (m – n)2 = m2 – n2 is false.
    A. m = 1, n = 0 B. m = 1, n = 1
    C. m = 1, n = 2 D. m = –2, n = 0
    Hint



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