Math Gr 8 Ch 6 SUM: Functions and Relations
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Questions and Answers

What is the relationship between the number of matches and the number of triangles in a specific arrangement?

  • The number of matches is always equal to the number of triangles.
  • There is no relationship between the number of matches and the number of triangles.
  • More matches can create more triangles in specific patterns. (correct)
  • The number of triangles is always double the number of matches.

What is a flow diagram used for?

  • To illustrate the calculation process and the connection between input and output numbers. (correct)
  • To calculate the output numbers from input numbers.
  • To simplify algebraic expressions.
  • To show the relationships between variables.

What is the purpose of finding operators in a flow diagram?

  • To describe the calculation process in words.
  • To determine the output numbers from input numbers.
  • To simplify algebraic expressions.
  • To analyze the input-output relationships. (correct)

What is the term for different expressions that represent the same value or relationship?

<p>Equivalent forms (B)</p> Signup and view all the answers

What is the process of finding an equivalent fraction in its simplest form?

<p>Simplifying fractions (D)</p> Signup and view all the answers

How do you convert a decimal to a fraction?

<p>Write the decimal as a fraction with a denominator of a power of 10 and then simplify (D)</p> Signup and view all the answers

What is the purpose of using common denominators when adding or subtracting fractions?

<p>To add or subtract fractions with different denominators (A)</p> Signup and view all the answers

What is the term for expressing an algebraic expression as a product of its factors?

<p>Factoring (D)</p> Signup and view all the answers

How do you identify and create equivalent forms in algebra?

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

What is the purpose of using the distributive property in algebra?

<p>To generate equivalent expressions (D)</p> Signup and view all the answers

What is the relationship between the number of calls made and the airtime left on a cell phone?

<p>The more calls you make, the less airtime you have left. (D)</p> Signup and view all the answers

Which of the following quantities is typically constant?

<p>Number of fingers on your hands (D)</p> Signup and view all the answers

What is the relationship between the number of identical houses to be built and the number of bricks required?

<p>More houses require more bricks. (C)</p> Signup and view all the answers

Which of the following pairs of quantities has no direct influence on each other?

<p>Length of your arm and ability to finish Mathematics tests quickly (B)</p> Signup and view all the answers

What is the relationship between the number of learners at a school and the number of classrooms needed?

<p>More learners require more classrooms. (D)</p> Signup and view all the answers

Which of the following quantities is typically variable?

<p>Age (B)</p> Signup and view all the answers

What is the relationship between the number of learners at a school and the length of the school day?

<p>The number of learners has no influence on the length of the school day. (B)</p> Signup and view all the answers

What is the relationship between the number of calls made and the number of fingers on your hands?

<p>The number of calls made has no influence on the number of fingers. (A)</p> Signup and view all the answers

What is the relationship between the length of your arm and your ability to finish Mathematics tests quickly?

<p>There is no direct influence between these quantities. (D)</p> Signup and view all the answers

Which pair of quantities has a direct influence on each other?

<p>Number of calls and airtime left on a cell phone (B)</p> Signup and view all the answers

What type of quantity is the number of identical houses to be built?

<p>Variable (C)</p> Signup and view all the answers

Which of the following pairs of quantities has no direct influence on each other?

<p>Age and number of fingers on your hands (C)</p> Signup and view all the answers

What type of quantity is the number of bricks required for identical houses?

<p>Variable (B)</p> Signup and view all the answers

What is the relationship between the number of learners at a school and the number of classrooms needed?

<p>More learners require more classrooms. (D)</p> Signup and view all the answers

What type of quantity is the airtime left on a cell phone?

<p>Variable (B)</p> Signup and view all the answers

Which of the following pairs of quantities has a direct influence on each other?

<p>Number of identical houses to be built and the number of bricks required (A)</p> Signup and view all the answers

What determines the number of matches and triangles in an arrangement?

<p>The specific pattern of the arrangement (C)</p> Signup and view all the answers

What do flow diagrams show?

<p>The calculation process and relationships between numbers (C)</p> Signup and view all the answers

How do you simplify a fraction?

<p>By dividing the numerator and denominator by their greatest common divisor (D)</p> Signup and view all the answers

What is an equivalent fraction?

<p>A fraction with a different numerator and denominator but the same value (B)</p> Signup and view all the answers

How do you convert a fraction to a decimal?

<p>By dividing the numerator by the denominator (C)</p> Signup and view all the answers

What is the purpose of finding operators in a flow diagram?

<p>To analyze the input-output relationships (C)</p> Signup and view all the answers

What is the relationship between floor space and total cost in a new development?

<p>The total cost increases as the floor space increases (C)</p> Signup and view all the answers

How do you describe how output numbers are calculated?

<p>Using operations such as multiplication and addition (B)</p> Signup and view all the answers

What is an equivalent algebraic expression?

<p>Different expressions that simplify to the same value (A)</p> Signup and view all the answers

Why do you need to find common denominators when adding or subtracting fractions?

<p>To add or subtract fractions with different denominators (C)</p> Signup and view all the answers

What type of quantity is the number of fingers on a person's hand?

<p>Constant, as it typically remains the same (C)</p> Signup and view all the answers

Which of the following pairs of quantities has a direct influence on each other?

<p>The number of calls made and the airtime left on a cell phone (A)</p> Signup and view all the answers

What type of quantity is the airtime left on a cell phone?

<p>Variable, as it decreases with each call made (D)</p> Signup and view all the answers

Which of the following pairs of quantities has no direct influence on each other?

<p>The length of a person's arm and their ability to finish math tests (A)</p> Signup and view all the answers

What type of quantity is the number of learners at a school?

<p>Variable, as it changes each year (A)</p> Signup and view all the answers

Which of the following pairs of quantities has a direct influence on each other?

<p>The number of learners at a school and the number of classrooms needed (C)</p> Signup and view all the answers

What type of quantity is the number of bricks required for identical houses?

<p>Variable, as it increases with the number of houses (C)</p> Signup and view all the answers

Which of the following pairs of quantities has no direct influence on each other?

<p>The number of learners at a school and the length of a person's arm (A)</p> Signup and view all the answers

What is the primary factor that determines the number of triangles in an arrangement?

<p>The number of matches in the arrangement (B)</p> Signup and view all the answers

Which of the following is an example of an equivalent fraction?

<p>1/2 and 2/4 (B)</p> Signup and view all the answers

What is the purpose of using the distributive property in algebra?

<p>To generate equivalent expressions (B)</p> Signup and view all the answers

What is the relationship between the input numbers and output numbers in a flow diagram?

<p>The input numbers are directly proportional to the output numbers (B)</p> Signup and view all the answers

What is the process of finding an equivalent fraction in its simplest form?

<p>Dividing the numerator and denominator by their greatest common divisor (A)</p> Signup and view all the answers

What is the purpose of creating a flow diagram for the house costs in a new development?

<p>To illustrate the relationship between floor space and total cost (C)</p> Signup and view all the answers

What is the result of applying the associative property to an algebraic expression?

<p>An equivalent expression (D)</p> Signup and view all the answers

What is the purpose of converting a fraction to a decimal?

<p>To represent the fraction in a different form (B)</p> Signup and view all the answers

What is the result of factoring an algebraic expression?

<p>A product of its factors (C)</p> Signup and view all the answers

What is the relationship between the number of triangles in an arrangement and the number of matches?

<p>The number of triangles is influenced by the number of matches in specific patterns (A)</p> Signup and view all the answers

What is the relationship between the number of calls made and the number of bricks required for identical houses?

<p>There is no direct influence between these quantities. (A)</p> Signup and view all the answers

Which of the following pairs of quantities has a direct influence on each other, similar to the relationship between the number of calls made and the airtime left on a cell phone?

<p>The number of learners at a school and the number of classrooms needed (D)</p> Signup and view all the answers

What is the characteristic of the number of fingers on a person's hand?

<p>It is a constant quantity that typically remains the same. (C)</p> Signup and view all the answers

Which of the following pairs of quantities has no direct influence on each other, similar to the relationship between the number of learners at a school and the length of the school day?

<p>The length of your arm and your ability to finish Mathematics tests quickly (B)</p> Signup and view all the answers

What is the primary factor that determines the number of matches in an arrangement?

<p>The specific pattern of the arrangement (A)</p> Signup and view all the answers

What is the characteristic of the number of learners at a school?

<p>It is a variable quantity that changes over time. (A)</p> Signup and view all the answers

What is the purpose of using the distributive property in algebra?

<p>To simplify algebraic expressions (B)</p> Signup and view all the answers

Which of the following pairs of quantities has a direct influence on each other, similar to the relationship between the number of identical houses to be built and the number of bricks required?

<p>The number of learners at a school and the number of classrooms needed (C)</p> Signup and view all the answers

Which of the following is an example of an equivalent algebraic expression?

<p>3x - 2 = 2x + 1 (C)</p> Signup and view all the answers

What is the characteristic of the airtime left on a cell phone?

<p>It is a variable quantity that changes over time. (C)</p> Signup and view all the answers

What is the relationship between the input numbers and output numbers in a flow diagram?

<p>The output numbers are calculated based on the input numbers and operators (A)</p> Signup and view all the answers

Which of the following pairs of quantities has no direct influence on each other, similar to the relationship between the number of calls made and the number of fingers on your hands?

<p>The length of your arm and your ability to finish Mathematics tests quickly (A)</p> Signup and view all the answers

What is the purpose of finding common denominators when adding or subtracting fractions?

<p>To combine the fractions (C)</p> Signup and view all the answers

How do you convert a fraction to a decimal?

<p>Divide the numerator by the denominator (B)</p> Signup and view all the answers

What is the purpose of using multiplication and division to identify equivalent forms?

<p>To generate equivalent forms by multiplying or dividing both the numerator and denominator by the same number (C)</p> Signup and view all the answers

What is the primary factor that determines the total cost of houses in a new development?

<p>The floor space of each house (D)</p> Signup and view all the answers

What is the relationship between the number of input numbers and the number of output numbers in a flow diagram?

<p>The number of output numbers is determined by the input numbers and operators (D)</p> Signup and view all the answers

What is the purpose of creating a flow diagram for the house costs in a new development?

<p>To calculate the total cost of houses based on floor space (B)</p> Signup and view all the answers

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