What is the contrapositive of the statement: "If √x = 4 or -4, then x = 16"?

If x ≠ 16, then √x ≠ 4 and √x ≠ -4

If √x = 4 or -4, then x ≠ 16

If x = 16, then √x ≠ 4 and √x ≠ -4

If the following statements are true, what is a valid conclusion? Statement 1: All geometry students have already passed Algebra I. Statement 2: All students who have already passed Algebra I know how to calculate slope.

All geometry students know how to calculate slope.

All students who know how to calculate slope have passed Algebra I.

All students who have passed Algebra I are geometry students.

All geometry students do not know how to calculate slope.

What is the contrapositive to this?

If the food is not cooked, then it is not in the oven.

If the food is not in the oven, then it is not cooked.

If the food is cooked, then its in the oven.

If food is not in the oven, then its cooked.

What is the contrapositive?

If Grace does not sleep, then she is not tired.

If Grace is not tired, then she does not sleep.

If Grace sleeps, then she is tired.

Grace never sleeps anyways. So its all moot.

What is the inverse of "If it is Saturday, then it is the weekend"?

If it is not Saturday, then it is not the weekend.

If it is the weekend, then it is Saturday.

If it is not Saturday, then it is the weekend.

If it is not the weekend, then it is not Saturday.

What is the contrapositive to this?

If the food is not cooked, then it is not in the oven.

If the food is not in the oven, then it is not cooked.

If the food is cooked, then its in the oven.

If food is not in the oven, then its cooked.

What is the converse of the statement: "If it rains, then the ground gets wet"?

If the ground gets wet, then it rains.

If the ground does not get wet, then it does not rain.

If it does not rain, then the ground does not get wet.

If it rains, then the ground does not get wet.

Which of the following is the inverse of the statement: "If a number is even, then it is divisible by 2"?

If a number is not even, then it is not divisible by 2.

If a number is divisible by 2, then it is even.

If a number is even, then it is not divisible by 2.

If a number is not divisible by 2, then it is not even.

Let p represent "Daniel is angry", and let q represent "Daniel is not having fun." Translate the following symbolic form into written form... ~ q ^ p

Daniel is having fun and Daniel is angry.

Daniel is not having fun and Daniel is angry.

Daniel is angry and Daniel is having fun.

Daniel is angry and Daniel is not having fun.

Let p represent "Daniel is angry", and let q represent "Daniel is not having fun." Translate the following symbolic form into written form... p ^ ~ q

Daniel is angry and Daniel is having fun.

Daniel is not having fun and Daniel is angry.

Daniel is having fun and Daniel is not angry.

Daniel is angry and Daniel is not having fun.

What is the inverse of the statement: "If a number is even, then it is divisible by 2"?

If a number is not even, then it is not divisible by 2.

If a number is divisible by 2, then it is even.

If a number is even, then it is not divisible by 2.

If a number is not divisible by 2, then it is not even.

What is the converse of the statement: "If a shape is a square, then it has four sides"?

If a shape has four sides, then it is a square.

If a shape is not a square, then it does not have four sides.

If a shape does not have four sides, then it is not a square.

If a shape is a square, then it does not have four sides.

Given the statement: "If a number is divisible by 5, then it ends with 0 or 5." What is the contrapositive of this statement?

If a number does not end with 0 or 5, then it is not divisible by 5.

If a number ends with 0 or 5, then it is divisible by 5.

If a number is divisible by 5, then it does not end with 0 or 5.

If a number is not divisible by 5, then it does not end with 0 or 5.

review

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

RI.8.1, HSS.CP.A.1, L.2.1F

+26

Standards-aligned

Anthony Crawford

Used 3+ times

FREE Resource

38 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Use information to translate the following sentence into symbolic form: "If you do not like onions or you do not like ketchup then you like pickles."

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Assume the following statements are true. What is a valid conclusion? Statement A: If Todd goes to the movies, then he will see a horror film. Statement B: Every time Todd watches a horror film, he has nightmares.

If Todd sees a horror film, then he will not have any nightmares.

If Todd sees a horror film, then he did not go to the movies.

If Todd does not go to the movies, then he will still see a horror film.

If Todd does not have any nightmares, then he did not go to the movies.

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you do not go to school, then you are not a student."

Inverse

Converse

Contrapositive

Bi-conditional

None

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given the statement: "If you are a student, then you go to school." Match the statement type: "You are a student if and only if you go to school."

Inverse

Converse

Contrapositive

Bi-conditional

None

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you are not a student, then you do not go to school."

Inverse

Converse

Contrapositive

Bi-conditional

None

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you do not go to school, then you are a student."

Inverse

Converse

Contrapositive

Bi-conditional

None

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you go to school, then you are a student."

Inverse

Converse

Contrapositive

Bi-conditional

None

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38 questions

Use information to translate the following sentence into symbolic form: "If you do not like onions or you do not like ketchup then you like pickles."

Assume the following statements are true. What is a valid conclusion? Statement A: If Todd goes to the movies, then he will see a horror film. Statement B: Every time Todd watches a horror film, he has nightmares.

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you do not go to school, then you are not a student."

Given the statement: "If you are a student, then you go to school." Match the statement type: "You are a student if and only if you go to school."

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you are not a student, then you do not go to school."

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you do not go to school, then you are a student."

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you go to school, then you are a student."

What is the contrapositive of the statement: "If √x = 4 or -4, then x = 16"?

If the following statements are true, what is a valid conclusion? Statement 1: All geometry students have already passed Algebra I. Statement 2: All students who have already passed Algebra I know how to calculate slope.

Translate the statement "If Joe does not love Chipotle, then he lives in Ashland" into symbolic form using p: Joe lives in Ashland, q: Joe loves Chipotle.

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