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

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

  3.   How many counterexamples are needed to prove a conjecture wrong?
    A. 3 B. 1
    C. 4 D. 2
    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. all answers are correct
    B. test every possible case to prove the conjecture
    C. develop an argument to prove the conjecture
    D. find a counterexample to disprove 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 = 1 B. m = –2, n = 0
    C. m = 1, n = 2 D. m = 1, n = 0
    Hint



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