1.   Looking at several specific situations to arrive at an educated guess is called __________.
    A. a conjecture B. guessing
    C. deductive reasoning D. inductive reasoning
    Hint

  2.   ''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion.
    A. The sum of 8 and 24 must be odd.
    B. If the numbers 8 and 24 are odd, then their sum is 32.
    C. If the numbers 8 and 24 are even, then their sum is 32.
    D. The sum of 8 and 24 must be even.
    Hint

  3.   What is the negation of the conclusion of the following conditional?
All birds can fly.
    A. It is a bird B. It is not a bird.
    C. It can fly. D. It cannot fly.
    Hint

  4.   What is a valid conclusion to the following hypothesis?
If there are two points...
    A. There is one line containing both points.
    B. There are no lines containing both points.
    C. There are an infinite number of lines containing both points.
    D. There are two lines containing both points.
    Hint

  5.   ''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment?
    A. Both1 and 2 are obtuse.
    B. 1 and 2 are congruent.
    C. 1 and 2 are not congruent.
    D. 1 and 2 both have a measure of 45.
    Hint

  6.   Which statement explains why
   
    A. All right angles are congruent.
    B. If the sum of the measures of two angles is 180, then they are supplementary.
    C. If two angles form a linear pair, then they are supplementary.
    D. Angles supplementary to the same angle are congruent.
    Hint

  7.   Two angles are congruent if they are ______.
    A. supplementary B. a linear pair
    C. vertical D. adjacent
    Hint

  8.   Which values are a counterexample to the given statement?
If x + y = an even number, then x is even and y is even.
    A. x = 21, y = 3 B. x = 12, y = 6
    C. x = 7, y = 12 D. x = 10, y = 9
    Hint

  9.   Identify the hypothesis in the following algebraic statement:
If 3x + 10 = 13, then x = 1.
    A. 3x + 10 B. x = 1
    C. 3x D. 3x + 10 = 13
    Hint

  10.   Which notation is not correct notation to define a set?
    A. W = set of integers B. W = {x|x is an integer}
    C. W represents an integer D. W = {... -2, -1, 0, 1, 2 ...}
    Hint

  11.   Which answer shows all the possible subsets of {2,4,5}?
    A. {2,4,5},{2}, {4}, {5},
    B. {2,4,5},{2}, {4}, {5}, {2,4}, {2,5}, {4,5}
    C. {2,4,5},{2}, {4}, {5}, {2,4}, {2,5}, {4,5},
    D. {2}, {4}, {5}, {2,4}, {2,5}, {4,5},
    Hint

  12.   If A= {0,1,2,3,4}, B={2,4,6,8} and C= {-3, -2, -1, 0}, find
    A. {0} B.
    C. {-3, -2, -1, 0 ,1, 2, 3, 4} D. {-3, -2, -1, 0, 2, 4, 6, 8}
    Hint

  13.   If and Which shows
    A. {1,3} B.
    C. {-2, -1, 0, 1, 3} D. {-2, -1, 0, 1, 3, 5}
    Hint

  14.   What is the inverse of the conditional If it is September, then there are 30 days in the month?
    A. If there are 30 day in the month, then it is September.
    B. If it is September then there are not 30 days in the month.
    C. If there are not 30 days in the month, then it is not September.
    D. If it is not September then there are not 30 days in the month.
    Hint



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