1.	Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music?
		A.	Someone used her car during the weekend and changed the station.
		B.	All statements are valid conjectures.
		C.	A country music station bought out her favorite music station over the weekend.
		D.	Her favorite station has changed their morning program to include country music.
		Hint
	2.	The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________.
		A.	reasonable doubt	B.	deductive reasoning
		C.	inductive reasoning	D.	detachment reasoning
		Hint
	3.	What is a valid conclusion to the following hypothesis? If there are two points...
		A.	There are no lines containing both points.
		B.	There is one line containing both points.
		C.	There are two lines containing both points.
		D.	There are an infinite number of lines containing both points.
		Hint
	4.	''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion.
		A.	The result of doubling 234 is an odd number.
		B.	The result of doubling 317 is an even number.
		C.	When you triple a number, the result must be an even number.
		D.	If you double an odd number, the result is another odd number.
		Hint
	5.	Which statement is not true in the picture?
		A.	If then
		B.	If and are complementary and and are complementary, then
		C.
		D.
		Hint
	6.	Select the phrase that makes the sentence false. An equiangular triangle ____________.
		A.	is always an isosceles triangle	B.	is never scalene
		C.	is always an equilateral triangle	D.	is congruent to every other equiangular triangle
		Hint
	7.	Which of the following is a counterexample to the statement 8k – 1 = 9r for all k, where k and r are integers?
		A.	83 – 1 = 511, 511 ÷ 9 = 56.8	B.	8(8k) = 8(9r + 1)
		C.	8 = 9 – 1	D.	(84 – 1) ÷ 9 = 455
		Hint
	8.	Which of the following is a counterexample to the statement 8p – 3 is prime?
		A.	p = 4	B.	p = 2
		C.	p = 3	D.	none of the above
		Hint
	9.	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}, {2,5}, {4,5},
		D.	{2,4,5},{2}, {4}, {5}, {2,4}, {2,5}, {4,5}
		Hint
	10.	How is read?
		A.	The letter w is not a part of any set.
		B.	The letter w is not a subset of the set containing a, b, and c.
		C.	The letter w is not an element of the set containing a, b, and c.
		D.	The letter w is an element of the set containing a, b, and c.
		Hint
	11.	If A = {0, 1, 2, 3, 4}, B = {2, 4, 6, 8} and C= {-3, -2, -1, 0}, find
		A.		B.	{2,4,6,8}
		C.	{0,1,2,3,4,5,6,7,8}	D.	{2, 4}
		Hint
	12.	If and Which shows
		A.		B.	{-2, -1, 0, 1, 3}
		C.	{-2, -1, 0, 1, 3, 5}	D.	{1,3}
		Hint
	13.	What is the contrapositive of the conditional If two angles are vertical angles then they have equal measures?
		A.	If two angles have equal measure then they are vertical angles.
		B.	If two angles are vertical angles then they do not have equal measures.
		C.	If two angles are not vertical angles then they do not have equal measures.
		D.	If two angles do not have equal measures then they are not vertical angles.
		Hint
	14.	What is the inverse of the conditional If it is September, then there are 30 days in the month?
		A.	If it is September then there are not 30 days in the month.
		B.	If there are 30 day in the month, then it is September.
		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