Rational Relationships Assessment Test

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Rational Relationships Assessment Test - Quiz

Take our assessment test to assess your knowledge of rational relationships. Rational relationships are like fractions, but we have variable relationships instead of integers in the numerator and the denominator.


Questions and Answers
  • 1. 

    Any function which can be defined by a rational fraction is...

    • A.

      Curve function

    • B.

      Rational function

    • C.

      Real function

    • D.

      Graph function

    Correct Answer
    B. Rational function
    Explanation
    A rational function is a function that can be defined by a rational fraction, which is a ratio of two polynomial functions. In other words, it is a function where both the numerator and denominator are polynomial functions. Therefore, the given correct answer is "Rational function".

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  • 2. 

    Which is an example of a rational fraction?

    • A.

      Algebraic fraction

    • B.

      Real fraction

    • C.

      Proper fraction

    • D.

      Improper fraction

    Correct Answer
    A. Algebraic fraction
    Explanation
    An algebraic fraction is a fraction in which the numerator and denominator are both algebraic expressions. This means that the fraction can contain variables and can be simplified or manipulated using algebraic operations. A rational fraction, on the other hand, is a fraction in which both the numerator and denominator are polynomials. Since an algebraic fraction fits this definition, it can be considered as an example of a rational fraction.

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  • 3. 

    A number that cannot be expressed as a fraction is...

    • A.

      Rational number

    • B.

      Improper fraction

    • C.

      Real value

    • D.

      Number quotidian

    Correct Answer
    A. Rational number
    Explanation
    A rational number is a number that can be expressed as a fraction, meaning it can be written as a ratio of two integers. Therefore, a number that cannot be expressed as a fraction would not be a rational number.

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  • 4. 

    Any number that can be expressed as the quotient or fraction of two integers is...

    • A.

      Real number

    • B.

      Rational number

    • C.

      Irrational number

    • D.

      Slope number

    Correct Answer
    B. Rational number
    Explanation
    A rational number is any number that can be expressed as a fraction or quotient of two integers. This means that the number can be written as a ratio of two whole numbers, with a non-zero denominator. Examples of rational numbers include 1/2, -3/4, and 5/1. Therefore, the given correct answer is "Rational number."

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  • 5. 

    A number which cannot be expressed in a ratio of two integers is referred to as...

    • A.

      Rational number

    • B.

      Real number

    • C.

      Irrational number

    • D.

      Valuable number

    Correct Answer
    C. Irrational number
    Explanation
    An irrational number is a number that cannot be expressed as a ratio of two integers. It cannot be written as a fraction or a decimal that terminates or repeats. Examples of irrational numbers include √2, π, and e.

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  • 6. 

    An irrational number cannot be written in a fraction form.

    • A.

      False

    • B.

      Sometimes

    • C.

      True

    • D.

      Depends on some factors

    Correct Answer
    C. True
    Explanation
    An irrational number is a number that cannot be expressed as a fraction or ratio of two integers. This means that it cannot be written in the form of a/b, where a and b are integers. Therefore, the statement "An irrational number cannot be written in a fraction form" is true. Irrational numbers, such as pi or the square root of 2, have decimal representations that go on forever without repeating, making them impossible to express as a simple fraction.

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  • 7. 

    A function that is a fraction and has the property that both its numerator and denominator are polynomials is called...

    • A.

      Rational function

    • B.

      Proper function

    • C.

      Improper function

    • D.

      Slope function

    Correct Answer
    A. Rational function
    Explanation
    A function that is a fraction and has the property that both its numerator and denominator are polynomials is called a rational function. This is because the term "rational" refers to a number that can be expressed as a fraction, and in this case, the function itself is expressed as a fraction with polynomial terms in both the numerator and denominator.

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  • 8. 

    Any function which can be defined by a rational fraction is...

    • A.

      Rational function

    • B.

      Ratio

    • C.

      Pi

    • D.

      Values

    Correct Answer
    A. Rational function
    Explanation
    A rational function is a function that can be defined by a rational fraction, which is a fraction where both the numerator and denominator are polynomials. This means that the function is a ratio of two polynomials. Therefore, any function that can be defined by a rational fraction is considered a rational function.

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  • 9. 

    What can be used to measure continuous quantities?  

    • A.

      Graph

    • B.

      Values

    • C.

      Real numbers

    • D.

      Slope

    Correct Answer
    C. Real numbers
    Explanation
    Real numbers can be used to measure continuous quantities because they can represent any value on a continuous scale. Unlike discrete quantities which can only take on specific values, real numbers allow for precise measurements and can represent any value within a given range. This makes real numbers a suitable choice for measuring continuous quantities such as temperature, length, time, and weight.

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  • 10. 

    All natural numbers are whole numbers.

    • A.

      True

    • B.

      False

    • C.

      Sometimes

    • D.

      Depends on some factors

    Correct Answer
    A. True
    Explanation
    All natural numbers are whole numbers because natural numbers include positive integers starting from 1, and whole numbers include both positive integers and zero. Therefore, since natural numbers are a subset of whole numbers, it is correct to say that all natural numbers are whole numbers.

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