Gr 9 MATH: Term Test 2
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Questions and Answers

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

  • Negative numbers (correct)
  • Positive numbers between 10 and 11
  • Positive numbers greater than 2
  • None of the above

    • What is the primary purpose of a flow diagram?

  • To tabulate input numbers and their corresponding function values
  • To provide a visual representation of the relationship
  • To show the calculations performed to produce output numbers (correct)
  • To represent the relationship between variables

    • What is a characteristic of a function?

  • There are multiple output numbers for each input number
  • The output number is always negative
  • The input number is always positive
  • There is only one output number for each input number (correct)

    • What type of representation 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 to natural numbers smaller than 10 when the rule is x - 1000?

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

    Which of the following is NOT a way to represent a function?

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

    What is the result of applying the rule to positive fractions with denominators 2, 3, and 5 when the rule is 30x + 2?

    <p>Positive numbers greater than 2</p> Signup and view all the answers

    Which representation provides a visual representation of the relationship?

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

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

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

    What is the purpose of brackets in algebraic expressions?

    <p>To group terms that need to be calculated first</p> Signup and view all the answers

    What is a characteristic of a relationship between two variables?

    <p>One variable quantity is influenced by another</p> Signup and view all the answers

    What is the term for an algebraic expression with three terms?

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

    What is the correct order of operations in an algebraic expression without brackets?

    <p>Multiplication and division, then addition and subtraction</p> Signup and view all the answers

    What is the term for an algebraic expression with one term?

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

    What is the purpose of the convention of writing a known number first in a product?

    <p>To make the expression more readable</p> Signup and view all the answers

    What is the term for algebraic expressions with different sequences of operations but the same numerical value?

    <p>Equivalent expressions</p> Signup and view all the answers

    What is the symbol often used to represent the variable in an algebraic expression?

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

    What is the correct order of operations when adding and subtracting in an algebraic expression without brackets?

    <p>From left to right</p> Signup and view all the answers

    What is the order of operations in an algebraic expression with no brackets?

    <p>Multiplication and division, then addition and subtraction</p> Signup and view all the answers

    What is the term for an expression with one term, such as 3x^2?

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

    What is the result of evaluating the expression (2x)^3?

    <p>8x^3</p> Signup and view all the answers

    What is the result of expanding the binomial (x + 2)(x + 3)?

    <p>x^2 + 5x + 6</p> Signup and view all the answers

    What is the distributive property of division?

    <p>(x + y)/z = (x/z) + (y/z)</p> Signup and view all the answers

    What is the result of evaluating the expression √(64x^3)?

    <p>4x</p> Signup and view all the answers

    What is the coefficient of the variable x in the expression 3x^2?

    <p>3</p> Signup and view all the answers

    What is the result of expanding the binomial (x - 2)(x + 3)?

    <p>x^2 + x - 6</p> Signup and view all the answers

    What is the result of evaluating the expression (x + 2)^2?

    <p>x^2 + 4x + 4</p> Signup and view all the answers

    What is the term for an algebraic expression that can be described by a sequence of operations?

    <p>Algebraic expression</p> Signup and view all the answers

    What is the correct order of operations when evaluating an algebraic expression with no brackets?

    <p>Multiplication and division first, then addition and subtraction.</p> Signup and view all the answers

    What is the term for an algebraic expression with two terms?

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

    What is the purpose of writing a known number first in a product in an algebraic expression?

    <p>To follow a convention for writing algebraic expressions</p> Signup and view all the answers

    What is the term for algebraic expressions that have the same numerical value for any given value of the variable?

    <p>Equivalent expressions</p> Signup and view all the answers

    When evaluating an algebraic expression with brackets, what operation should be performed first?

    <p>The calculations within the brackets</p> Signup and view all the answers

    What is the term for an algebraic expression with one term?

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

    What is the purpose of brackets in algebraic expressions?

    <p>To group operations together</p> Signup and view all the answers

    What is the correct sequence of operations when adding and subtracting in an algebraic expression without brackets?

    <p>Perform operations from left to right</p> Signup and view all the answers

    What is the result of evaluating the expression 12 + 3x when x = 5?

    <p>21</p> Signup and view all the answers

    Which of the following expressions are equivalent to 2x^2 + 5x + 3?

    <p>2x(x + 2.5) + 3</p> Signup and view all the answers

    What is the result of multiplying the polynomial 2x + 3 by the monomial 4x?

    <p>8x^2 + 12x</p> Signup and view all the answers

    What is the result of evaluating the expression (3x)^2 when x = 4?

    <p>144</p> Signup and view all the answers

    What is the result of simplifying the expression 2x + 3x + 4?

    <p>5x + 4</p> Signup and view all the answers

    What is the result of expanding the binomial (2x + 3)(2x + 5)?

    <p>4x^2 + 20x + 15</p> Signup and view all the answers

    What is the result of dividing the polynomial 6x^2 + 12x + 8 by the monomial 2x?

    <p>3x + 6</p> Signup and view all the answers

    What is the result of evaluating the expression √(25x^2) when x = 2?

    <p>10x</p> Signup and view all the answers

    What is the result of simplifying the expression 2x^2 + 5x + 3x + 2?

    <p>2x^2 + 8x + 2</p> Signup and view all the answers

    What is the result of expanding the binomial (x + 2)^2?

    <p>x^2 + 4x + 4</p> Signup and view all the answers

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

    <p>To determine the set of output numbers.</p> Signup and view all the answers

    What type of representation shows 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 true about the output numbers when applying a rule to a set of input numbers?

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

    Which of the following representations is best suited for visualizing the relationship between input and output numbers?

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

    What is the primary purpose of a table representation of a function?

    <p>To show the input numbers and their corresponding function values.</p> Signup and view all the answers

    What type of relationship exists between two variables if one variable quantity is influenced by another?

    <p>A relationship</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 a characteristic of a function that can be represented in different ways?

    <p>It can be represented in different ways, such as a table, flow diagram, formula, and graph.</p> Signup and view all the answers

    What is true about the representation of a function?

    <p>It can be represented in different ways, such as a table, flow diagram, formula, and graph.</p> Signup and view all the answers

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

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

    What is the primary purpose of using algebraic expressions in mathematics?

    <p>To describe a sequence of operations</p> Signup and view all the answers

    Which of the following statements is true about equivalent algebraic expressions?

    <p>They have different sequences of operations but the same numerical value</p> Signup and view all the answers

    What is the correct order of operations when evaluating an algebraic expression with no brackets?

    <p>Multiplication and division first, followed by addition and subtraction</p> Signup and view all the answers

    What is the term for an algebraic expression with two terms, such as 2x + 3?

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

    What is the purpose of the convention of writing a known number first in a product in an algebraic expression?

    <p>To make the expression more readable</p> Signup and view all the answers

    What does the symbol x often represent in an algebraic expression?

    <p>A variable</p> Signup and view all the answers

    How should addition and subtraction be performed in an algebraic expression without brackets?

    <p>From left to right</p> Signup and view all the answers

    What is the primary purpose of using brackets in algebraic expressions?

    <p>To indicate the order of operations</p> Signup and view all the answers

    What is the primary purpose of a function in a mathematical relationship?

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

    What is the common characteristic of the output numbers when applying the rule 2n + 1 to even numbers?

    <p>They are always odd numbers</p> Signup and view all the answers

    Which of the following is a characteristic of a relationship between two variables?

    <p>One variable quantity is influenced by another</p> Signup and view all the answers

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

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

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

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

    Which of the following representations is best suited for visualizing the relationship between input and output numbers?

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

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

    <p>They are always positive numbers greater than 2</p> Signup and view all the answers

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

    <p>To determine the output numbers for each input number</p> Signup and view all the answers

    What is the common characteristic of the output numbers when applying the rule x/10 + 10 to natural numbers smaller than 10?

    <p>They are always positive numbers between 10 and 11</p> Signup and view all the answers

    What is the main purpose of a table representation of a function?

    <p>To show the input and output values and clearly indicate which output value corresponds to each input value</p> Signup and view all the answers

    What is the result of evaluating the expression $(3x^2)^2$ when $x = 2$?

    <p>144</p> Signup and view all the answers

    What is the result of expanding the binomial $(x + 3)^3$?

    <p>$x^3 + 9x^2 + 27x + 27$</p> Signup and view all the answers

    What is the result of dividing the polynomial $6x^3 + 12x^2 + 8x$ by the monomial $2x$?

    <p>$3x^2 + 6x + 4$</p> Signup and view all the answers

    What is the result of simplifying the expression $2x^2 + 5x + 3x + 2$?

    <p>$2x^2 + 8x + 2$</p> Signup and view all the answers

    What is the result of expanding the binomial $(2x + 3)(2x - 5)$?

    <p>$4x^2 - 7x - 15$</p> Signup and view all the answers

    What is the result of evaluating the expression $(2x^2 + 3x)^2$ when $x = 4$?

    <p>576 + 192</p> Signup and view all the answers

    What is the result of simplifying the expression $3x^2 + 2x + 5x + 2$?

    <p>$3x^2 + 7x + 2$</p> Signup and view all the answers

    What is the result of evaluating the expression $(x + 2)^3$ when $x = 3$?

    <p>125</p> Signup and view all the answers

    What is the result of dividing the polynomial $8x^3 + 16x^2 + 12x$ by the monomial $2x$?

    <p>$4x^2 + 8x + 6$</p> Signup and view all the answers

    What is the result of expanding the binomial $(3x + 2)^2$?

    <p>$9x^2 + 12x + 4$</p> Signup and view all the answers

    Which of the following algebraic expressions is a trinomial?

    <p>2x^2 + 3x + 1</p> Signup and view all the answers

    What is the correct order of operations when evaluating an algebraic expression with no brackets?

    <p>Multiplication and division, followed by addition and subtraction</p> Signup and view all the answers

    What is the purpose of writing a known number first in a product in an algebraic expression?

    <p>To follow the convention of algebraic language</p> Signup and view all the answers

    Which of the following expressions are equivalent to 2x^2 + 5x + 3?

    <p>2(x^2 + 2x + 1) + x</p> Signup and view all the answers

    What is the term for an algebraic expression that can be described by a sequence of operations?

    <p>Algebraic expression</p> Signup and view all the answers

    When evaluating an algebraic expression with brackets, what operation should be performed first?

    <p>Perform the calculations within the brackets</p> Signup and view all the answers

    What is the term for an algebraic expression with two terms?

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

    What is the purpose of brackets in algebraic expressions?

    <p>To indicate the order of operations</p> Signup and view all the answers

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

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

    What type of representation is best suited for visualizing the relationship between input and output numbers?

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

    What is true about the output numbers when applying a rule to a set of input numbers?

    <p>The output numbers are always unique for a given input number</p> Signup and view all the answers

    What is the primary purpose of a flow diagram?

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

    What type of representation shows 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 result of applying the rule $x - 1000$ to natural numbers smaller than 1000?

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

    What is the result of applying the rule $rac{x}{10} + 10$ to natural numbers smaller than 10?

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

    What is the result of applying the rule $30x + 2$ to positive fractions with denominators 2, 3, and 5?

    <p>Positive numbers greater than 2</p> Signup and view all the answers

    Which of the following representations is most suitable for showing some values of the two variables and clearly indicating which output value corresponds to each input value?

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

    What is the characteristic of a function that makes it different from a relationship between two variables?

    <p>One output number for each input number</p> Signup and view all the answers

    What is the result of evaluating the expression (2x + 3)^2 when x = 2?

    <p>4x^2 + 24x + 36</p> Signup and view all the answers

    What is the result of simplifying the expression 3x^2 + 2x + 5x + 1?

    <p>3x^2 + 7x + 1</p> Signup and view all the answers

    What is the result of multiplying the polynomial 2x + 3 by the monomial 4x - 2?

    <p>8x^2 + 12x - 4x - 6</p> Signup and view all the answers

    What is the result of dividing the polynomial 6x^2 + 12x + 8 by the monomial 2x + 2?

    <p>3x + 2</p> Signup and view all the answers

    What is the result of evaluating the expression (3x - 2)^2 when x = 3?

    <p>9x^2 - 12x + 16</p> Signup and view all the answers

    What is the result of expanding the binomial (2x + 3)(3x - 2)?

    <p>6x^2 + 3x - 6</p> Signup and view all the answers

    What is the result of simplifying the expression 2x^2 + 5x + 3x + 2?

    <p>2x^2 + 8x + 2</p> Signup and view all the answers

    What is the result of evaluating the expression √(16x^2) when x = 4?

    <p>4x</p> Signup and view all the answers

    What is the result of multiplying the polynomial x^2 + 2x + 1 by the monomial x + 1?

    <p>x^3 + 3x^2 + 3x + 1</p> Signup and view all the answers

    What is the result of evaluating the expression (x + 2)^3 when x = 1?

    <p>35</p> Signup and view all the answers

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