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

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

  3.   Which differences are constant in a cubic equation?
    A. second B. first
    C. third D. fourth
    Hint

  4.   How many counterexamples are needed to prove a conjecture wrong?
    A. 1 B. 3
    C. 4 D. 2
    Hint

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



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