Geometry- Logic Quiz#1- Sentences, Truth Values, Negations (Fa)

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| By Jrivers
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Jrivers
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Quizzes Created: 2 | Total Attempts: 458
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Geometry- Logic Quiz#1- Sentences, Truth Values, Negations (Fa) - Quiz


This assignment counts as part of the formative assessment quiz grade (10% of final grade). You can ask to go over any problem you like in class. Please e-mail me with questions or problems that you have.


Questions and Answers
  • 1. 

    Write a few sentences to describe the difference between the sentences: "Today is Monday," and "Today is not Monday" You MUST include the following VOCABULARY in your response: negation truth value  

  • 2. 

    Which of the following is an example of an open sentence?

    • A.

      Murrow high school has an auditorium.

    • B.

      Tallahassee is a city in New York.

    • C.

      Thanksgiving is a holiday in November.

    • D.

      It is a fraction.

    Correct Answer
    D. It is a fraction.
    Explanation
    An open sentence is a statement that contains one or more variables and becomes a proposition when specific values are substituted for the variables. In the given options, "It is a fraction" is the only statement that contains a variable ("It") and can be true or false depending on the value assigned to the variable. The other options are complete statements that do not contain any variables.

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  • 3. 

    True or False. The following is a mathematical sentence "If Patrick leaps"

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
  • 4. 

    Let p: Summer follows spring      q: August is a summer month.      r: A year has 12 months      s: She likes spring. Write a complete sentence in words to show what the following symbols represent AND tell the truth value in (parantheses)                           ~r

    Correct Answer
    A year does not have 12 months (False)
    A year has not 12 months (False)
    A year doesn't have 12 months (False)
    A year not has 12 months (False)
    It is not true that a year has 12 months (False)
  • 5. 

    Is the following true, false or open? If it is open, identify the variable. The Q train runs only in Queens.  

    • A.

      True

    • B.

      False

    • C.

      Open; The

    • D.

      Open; only

    Correct Answer
    B. False
    Explanation
    The statement "The Q train runs only in Queens" is false. This means that the Q train does not solely operate in Queens and also runs in other locations.

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  • 6. 

    Given the open sentence: 3x - 7 = 11 Which value of x would be in the "solution set?"

    • A.

      X = 6 x = 6

    • B.

      X = -6

    • C.

      X = 18

    • D.

      X = 10

    Correct Answer
    A. X = 6 x = 6
    Explanation
    The correct answer is x = 6 because when we substitute x = 6 into the open sentence 3x - 7 = 11, we get 3(6) - 7 = 18 - 7 = 11, which satisfies the equation.

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  • 7. 

    Use the replacement set {1, , 0.5, -6, } to find the truth set of the open sentence "IT IS A RATIONAL NUMBER." Express your answers in the proper brackets { } separated by commas.

    Correct Answer
    {1, 0.5, -6}
    {1,0.5,-6}
    (1, 0.5, -6)
    (1,0.5,-6)
    1, 0.5, -6
    1,0.5,-6
  • 8. 

    Choose from the following to describe what kind of sentence this is: "It was blue with white stripes."

    • A.

      True

    • B.

      False

    • C.

      Open

    Correct Answer
    C. Open
    Explanation
    This sentence is an open sentence because it does not provide enough information to determine its type. It simply states a fact about something being blue with white stripes, but it does not express a complete thought or provide any additional context.

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  • 9. 

    CHECK ALL THAT MAY APPLY to describe the following sentence (COULD BE MORE THAN ONE ANSWER) "5(20) + 3 = 103"

    • A.

      Closed

    • B.

      Open

    • C.

      True

    • D.

      False

    Correct Answer(s)
    A. Closed
    C. True
    Explanation
    The sentence "5(20) + 3 = 103" is closed because it is a complete statement with a clear subject (5(20) + 3) and a clear predicate (= 103). It is also true because when the equation is solved, it does indeed equal 103.

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  • 10. 

    Use the domain {1, 2, 3, 4, 5} to find the solution set for the following open sentences. "It is an even number" Please put your answer in { , }

    Correct Answer(s)
    {2,4}
    (2,4)
    2, 4
    2 and 4
    2,4
    {2, 4}
    (2, 4)

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  • Current Version
  • May 06, 2024
    Quiz Edited by
    ProProfs Editorial Team
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    Quiz Created by
    Jrivers
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