AnswersGeometryConditional Statements and Equivalence

Conditional Statements and Equivalence — Quiz Answers

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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?

A
If a number does not have a negative cube root, then the number is not negative.
B
If a number is negative, then it does not have a negative cube root.
C
If a number has a negative cube root, then the number is negative.
D
If a number is not negative, then it does not have a negative cube root.
2
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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?

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.
C
If an item is not worth two quarters, then it is not worth five dimes.
D
If an item is not worth five quarters, then it is worth two dimes.
3

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

A
the converse of the original conditional statement
B
the contrapositive of the original conditional statement
C
the original conditional statement
D
the inverse of the original conditional statement
4

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

A
If two variables are not directly proportional, then their graph is not a linear function.
B
If the graph of two variables is not a linear function, then the two variables are not directly proportional.
C
If two variables are directly proportional, then their graph is not a linear function.
D
If the graph of two variables is a linear function, then the two variables are directly proportional.
5

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

A
If x plus 1 is odd, then x is even.
B
If x is even, then x plus 1 is not odd.
C
If x is not even, then x plus 1 is not odd.
D
If x plus 1 is not odd, then x is not even.
6

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

A
If a number is not prime, then the number does not have exactly two distinct factors.
B
If a number is prime, then the number has exactly two distinct factors.
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.
7

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

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 .
C
If p is equal to a number is negative and q is equal to the additive inverse is positive, the original statement is p rightarrow q .
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 .
E
If q is equal to a number is negative and p is equal to the additive inverse is positive, the contrapositive of the original statement is approximates p rightarrow approximates q .
8

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

A
the contrapositive of the original conditional statement
B
the inverse of the original conditional statement
C
the original conditional statement
D
the converse of the original conditional statement
9

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

A
q rightarrow p
B
p rightarrow q
C
approximates q rightarrow approximates p
D
approximates p rightarrow approximates q
10

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

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

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