Given the statement: "If $$x + 5 = 10$$ , then $$x = 5$$ ." What is the converse of this statement?

If $$x = 5$$ , then $$x + 5 = 10$$ .

If $$x \neq 5$$ , then $$x + 5 \neq 10$$ .

If $$x + 5 \neq 10$$ , then $$x \neq 5$$ .

If $$x = 10$$ , then $$x + 5 = 15$$ .

Given the statement: "If $$2x = 8$$ , then $$x = 4$$ ." What is the inverse of this statement?

If $$2x \neq 8$$ , then $$x \neq 4$$ .

If $$x \neq 4$$ , then $$2x \neq 8$$ .

If $$x = 4$$ , then $$2x = 8$$ .

If $$2x = 8$$ , then $$x = 4$$ .

Given the statement: "If $$x = 3$$ , then $$2x = 6$$ ." What is the contrapositive of this statement?

If $$2x \neq 6$$ , then $$x \neq 3$$ .

If $$x \neq 3$$ , then $$2x \neq 6$$ .

If $$2x = 6$$ , then $$x = 3$$ .

If $$x = 3$$ , then $$2x \neq 6$$ .

Given the statement: "If $$x - 2 = 7$$ , then $$x = 9$$ ." What is the converse of this statement?

If $$x = 9$$ , then $$x - 2 = 7$$ .

If $$x \neq 9$$ , then $$x - 2 \neq 7$$ .

If $$x - 2 \neq 7$$ , then $$x \neq 9$$ .

If $$x = 7$$ , then $$x - 2 = 5$$ .

Given the statement: "If $$y = 4$$ , then $$3y = 12$$ ." What is the contrapositive of this statement?

If $$3y \neq 12$$ , then $$y \neq 4$$ .

If $$y \neq 4$$ , then $$3y \neq 12$$ .

If $$3y = 12$$ , then $$y = 4$$ .

If $$y = 4$$ , then $$3y \neq 12$$ .

What is the if-then-form of the following statement? "You will always pass the test when you study."

If you study, then you will pass the test.

If you pass the test, then you studied.

If you want to pass, you must study.

Identify the counterexample to the following conditional. "If it rains, then school will be canceled."

A rainy day where school is canceled

A sunny day where school is canceled

Understanding Logical Statements in Equations

Authored by Justin Taylor

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

Understanding Logical Statements in Equations

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

10 questions

Show all answers

MATCH QUESTION

1 min • 1 pt

Match the statement to its forms based on the statement below:
"If the ground is wet, then it has rained."

Converse

If it does not rain, then the ground will not be wet.

Inverse

If the ground is not wet, then it has not rained.

Contrapositive

If it rains, then the ground will be wet.

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

If it is 6pm, then it is time for dinner.

If it is time for dinner, then it is 6pm.

If you want to eat dinner, then you must eat at 6pm.

None of these are right

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Prime or composite?

Quiz

•

6th - 10th Grade

10 questions

11x's table quiz

Quiz

•

12th Grade

15 questions

Supplementary angles

Quiz

•

7th - 11th Grade

12 questions

Math Riddles (Panitia Matematik)

Quiz

•

9th - 11th Grade

10 questions

parallel lines and transversals

Quiz

•

9th - 11th Grade

10 questions

CLASS-IX MATHS

Quiz

•

9th - 12th Grade

13 questions

M2 WI H01 Procenten TJZ

Quiz

•

9th Grade

10 questions

Gr. 9 Integers Revision 1

Quiz

•

8th - 9th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

18 questions

SAT Prep: Ratios, Proportions, & Percents

Quiz

•

9th - 10th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

12 questions

Parallel Lines Cut by a Transversal

Quiz

•

10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

10 questions

Elijah McCoy: Innovations and Impact in Black History

Interactive video

•

6th - 10th Grade

Understanding Logical Statements in Equations

Match the statement to its forms based on the statement below:"If the ground is wet, then it has rained."

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

What is the if-then-form of the following statement? "You will always pass the test when you study."

Identify the counterexample to the following conditional."If it rains, then school will be canceled."

Select all of the counterexamples to the following statement."If x is odd, then x is prime.'

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Match the statement to its forms based on the statement below:
"If the ground is wet, then it has rained."

Identify the counterexample to the following conditional.
"If it rains, then school will be canceled."

Select all of the counterexamples to the following statement.
"If x is odd, then x is prime.'