Conditional Statements and Equivalence - Quiz Quiz

Question 1

The inverse of a conditional statement is "If a number is negative, then it has a negative cube root.” What is the contrapositive of the original conditional statement?

Revolt · Accepted Answer

C: If a number has a negative cube root, then the number is negative.

Question 2

The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.” What is the converse of the original statement?

Revolt · Accepted Answer

A: If an item is worth two quarters, then it is worth five dimes.; B: If an item is worth five dimes, then it is worth two quarters.

Question 3

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q rightarrow p ?

Revolt · Accepted Answer

A: the converse of the original conditional statement

Question 4

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linear function.

Revolt · Accepted Answer

B: If the graph of two variables is not a linear function, then the two variables are not directly proportional.

Question 5

What is the converse of the conditional statement? If x is even, then x plus 1 is odd.

Revolt · Accepted Answer

A: If  x plus 1  is odd, then  x  is even.

Question 6

What is the inverse of the statement? A number that has exactly two distinct factors is prime.

Revolt · Accepted Answer

C: If a number does not have exactly two distinct factors, then the number is not prime.; D: If a number has exactly two distinct factors, then the number is prime.

Question 7

Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Choose three correct answers.

Revolt · Accepted Answer

A: If  p is equal to  a number is negative and  q is equal to  the additive inverse is positive, the inverse of the original statement is  approximates p rightarrow approximates q .; B: If  q is equal to  a number is negative and  p is equal to  the additive inverse is positive, the converse of the original statement is  q rightarrow p .; D: If  p is equal to  a number is negative and  q is equal to  the additive inverse is positive, the converse of the original statement is  approximates q rightarrow approximates p .

Question 8

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by approximates p rightarrow approximates q ?

Revolt · Accepted Answer

B: the inverse of the original conditional statement

Question 9

If an original conditional statement is represented by p rightarrow q , which represents the contrapositive?

Revolt · Accepted Answer

C: approximates q rightarrow approximates p

Question 10

The statement p rightarrow q represents "If a number is doubled, the result is even.” Which represents the inverse?

Revolt · Accepted Answer

A: approximates p rightarrow approximates q  where  p is equal to  a number is doubled and  q is equal to  the result is even

Conditional Statements and Equivalence - Quiz Quiz Answers

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