Gr 9 MATH: Ch 6.2 Equivalent Forms
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Questions and Answers

What is the result of applying the rule x - 1000 to natural numbers smaller than 1000?

  • Zero
  • Negative numbers (correct)
  • Positive numbers
  • Numbers greater than 1000

    • What is the output of the rule 2n + 1 when applied to even numbers?

  • Even numbers
  • Prime numbers
  • Odd numbers (correct)
  • Negative numbers

    • What is the common characteristic of the output numbers when applying the rule 30x + 2 to positive fractions with denominators 2, 3, and 5?

  • Positive numbers less than 2
  • Positive numbers greater than 2 (correct)
  • Negative numbers
  • Zero

    • What is the result of applying the rule x/10 + 10 to natural numbers smaller than 10?

    <p>Positive numbers between 10 and 11</p> Signup and view all the answers

    What is the definition of a function?

    <p>A relationship between two variables in which there is only one output number for each input number</p> Signup and view all the answers

    What is the purpose of an algebraic expression in describing a function?

    <p>To describe the calculations needed to find the output number that corresponds to a given input number</p> Signup and view all the answers

    What type of representation of a function shows some values of the two variables and clearly indicates which output value corresponds to each input value?

    <p>Table</p> Signup and view all the answers

    What is the result of applying the rule multiply a number by 5 and subtract the result from 50 to a natural number?

    <p>A number less than 50</p> Signup and view all the answers

    What type of representation of a function illustrates the calculations needed to determine the output number for a given input variable?

    <p>Flow Diagram</p> Signup and view all the answers

    What is the characteristic of a function in which one variable quantity is influenced by another?

    <p>There is only one output number for each input number</p> Signup and view all the answers

    What is the primary difference between Set A and Set B?

    <p>Set A consists of natural numbers, while Set B consists of multiples of 10.</p> Signup and view all the answers

    What is the purpose of applying a rule to input numbers?

    <p>To find the output number for a given input number.</p> Signup and view all the answers

    What is a common characteristic of functions?

    <p>There is only one output number for each input number.</p> Signup and view all the answers

    What is the advantage of using a formula to represent a function?

    <p>It describes the calculations needed to determine the output number for a given input number.</p> Signup and view all the answers

    What is the primary purpose of a flow diagram in representing a function?

    <p>To illustrate the calculations needed to determine the output number for a given input number.</p> Signup and view all the answers

    What is the relationship between the variables in a function?

    <p>One variable is influenced by the other.</p> Signup and view all the answers

    What is the significance of the output analysis in functions?

    <p>It helps to determine the output number for a given input number.</p> Signup and view all the answers

    What is the primary difference between a table and a flow diagram in representing a function?

    <p>A table shows the output numbers, while a flow diagram shows the calculations.</p> Signup and view all the answers

    What is the purpose of applying different rules to even numbers?

    <p>To analyze the different output types.</p> Signup and view all the answers

    What is the significance of equivalent forms in functions?

    <p>They represent the same relationship between the variables.</p> Signup and view all the answers

    What is the primary objective of applying a rule to input numbers in a function?

    <p>To identify the output number corresponding to a specific input value</p> Signup and view all the answers

    Which of the following best describes the relationship between variables in a function?

    <p>One input number corresponds to exactly one output number</p> Signup and view all the answers

    What is the advantage of using a formula to represent a function?

    <p>It allows for easy calculation of output numbers for given input numbers</p> Signup and view all the answers

    Which representation of a function would be most useful in determining the output number for a given input number?

    <p>Formula</p> Signup and view all the answers

    What is the primary purpose of output analysis in functions?

    <p>To analyze the characteristics of the output numbers</p> Signup and view all the answers

    How do different rules applied to even numbers illustrate the concept of functions?

    <p>They illustrate how multiple rules can produce the same output numbers for given input numbers</p> Signup and view all the answers

    What do equivalent forms in functions refer to?

    <p>Different algebraic expressions that describe the same function</p> Signup and view all the answers

    What is the significance of understanding relationships between variables in functions?

    <p>It is essential in determining which number is linked to a specific value of the other variable</p> Signup and view all the answers

    What is the primary advantage of using tables to represent functions?

    <p>They allow for easy identification of the output number corresponding to a specific input value</p> Signup and view all the answers

    What do flow diagrams illustrate in functions?

    <p>The calculations needed to determine the output number for a given input variable</p> Signup and view all the answers

    What is the effect of applying the rule multiply a number by 5 and subtract the result from 50 to a natural number?

    <p>It results in a number less than 50.</p> Signup and view all the answers

    Which of the following rules would result in a negative number when applied to natural numbers smaller than 1000?

    <p>x - 1000</p> Signup and view all the answers

    What is a characteristic of a function that is illustrated by applying different rules to even numbers?

    <p>One input corresponds to one output.</p> Signup and view all the answers

    What is the purpose of a flow diagram in representing a function?

    <p>To illustrate the calculations needed to determine the output number.</p> Signup and view all the answers

    Which of the following is a way to represent a function?

    <p>All of the above</p> Signup and view all the answers

    What is the result of applying the rule 2n + 1 to even numbers?

    <p>Odd numbers</p> Signup and view all the answers

    What is the primary advantage of using a formula to represent a function?

    <p>It is a compact way to represent the relationship between the variables.</p> Signup and view all the answers

    What is the purpose of output analysis in functions?

    <p>To determine the output values for a given input value.</p> Signup and view all the answers

    What is the result of applying the rule x/10 + 10 to natural numbers smaller than 10?

    <p>Positive numbers between 10 and 11.</p> Signup and view all the answers

    What do equivalent forms in functions refer to?

    <p>Different formulas that represent the same relationship.</p> Signup and view all the answers

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