Deductive and Inductive Reasoning Conditional Statements and Algebraic Proofs

Which of the following is a conditional statement?

• All even numbers are divisible by 2.

• If an even number is divisible by 2.

• Then even numbers are divisible by 2.

• If an integer is an even number, then it is divisible by 2.

How do you write the converse of a conditional statement?

• Negate the hypothesis and conclusion

• Reverse the hypothesis and conclusion

• Negate and reverse the hypothesis and conclusion

• Take it to Journeys and buy the converses.

Which is the inverse of the given statement:

"If you are human, then you are mortal."

• If you are not human, then you are not mortal.

• If you are mortal, then you are human.

• You are human if and only if you are mortal.

• If you are not mortal, then you are not human.

What do you call the first part of a conditional statement that follows the word "if"?

• conclusion

• hypnosis

• hypothesis

• conjunction

What do you call the second part of a conditional statement that follows the word "then"?

• hypothesis

• conclusion

• conjecture

• hypoallergenic

Which of the following is the contrapositive of the given statement:

"If you are human, then you are mortal."

• If you are not human, then you are not mortal.

• If you are mortal, then you are human.

• You are human if and only if you are mortal.

• If you are not mortal, then you are not human.

Negate the following statement:

"I love geometry."

• Geometry I love

• If and only if I love geometry

• If I love geometry, then I do not love geometry.

• I do not love geometry

Which of the following DOES NOT describe inductive reasoning?

• process of reasoning based on known facts

• reaches conclusion based on a pattern of specific examples

• reaches conclusion based on past events

• starts with an observation and works its way up

Which of the following DOES NOT describe deductive reasoning?

• process of reasoning based on known facts

• starts with a hypothesis and works its way down

• uses evidence to reach a logical conclusion

• starts with an observation and works its way up

Find the next term:

3, 5, 9, 15, 23, . . .

• 35

• 25

• 33

• 31