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# Mathematical Process Questions - All Grades

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An "if... then..." statement.
1. condition
2. conditional
3. hypothesis
4. conclusion
Determine the contrapositive of the statement: if p, then q
1. if ~q, then ~p
2. If p, then ~q
3. If ~p, then q
4. If q, then p
A statement that can be written in if-then form is a(n)
1. compound statement
2. conclusion statement
3. conditional statement
4. conjunction statement
Which answer would be a counterexample to the biconditional "Greg is a swimmer if and only if he is an athlete."
1. Greg is an athlete and a basketball player.
2. Greg is a swimmer.
3. Greg is not an athlete.
4. There is no counterexample.
Determine the converse of the statement if p, then q
1. If ~q, then p
2. If p, then ~q
3. If ~p, then q
4. If q, then p
Is a formula actually an equation?
1. no
2. yes
3. maybe
4. none of the above
Which best describes what a conditional is.
1. A rule
2. If p then q
3. A proof
4. If q then p
Reasoning that uses a number of specific examples to arrive at a conclusion is called
1. Deductive reasoning
2. Logical reasoning
3. Inductive reasoning
4. Comparative reasoning