Gr 9 MATH: Ch 5 Sum Algebraic Expressions
50 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is an algebraic expression?

  • A sequence of operations that can be described in words or diagrams (correct)
  • A diagram that represents a sequence of operations
  • A sequence of operations described in words
  • A sequence of operations that can only be described in words

    • When performing calculations in an algebraic expression, what operation should be done first if there are no brackets?

  • Subtraction and division
  • Exponents and roots
  • Addition and subtraction
  • Multiplication and division (correct)

    • What is a monomial in algebra?

  • An expression with one term (correct)
  • An expression with three terms
  • An expression with four terms
  • An expression with two terms

    • What is the purpose of brackets in an algebraic expression?

    <p>To perform calculations within the brackets first</p> Signup and view all the answers

    What is a trinomial in algebra?

    <p>An expression with three terms</p> Signup and view all the answers

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

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

    What is the difference between equivalent algebraic expressions?

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

    When writing algebraic expressions, what is the convention for writing a product?

    <p>The number comes first</p> Signup and view all the answers

    What is the order of operations when there are no brackets in an algebraic expression?

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

    Why is the multiplication sign often omitted in algebraic expressions?

    <p>Because it is a convention</p> Signup and view all the answers

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

    <p>Multiplication and division, followed by 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 expanding the product of two binomials (x + a)(x + b)?

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

    What is the general form for squaring a binomial (a + b)?

    <p>a^2 + 2ab + b^2</p> Signup and view all the answers

    What is the result of dividing a polynomial by a monomial?

    <p>Each term in the polynomial is divided by the monomial</p> Signup and view all the answers

    What is the term for a fixed value in an algebraic expression, such as 4 in 5x + 4?

    <p>Constant</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 expanding the product of two binomials (x - y)(x + z)?

    <p>x^2 + (z - y)x - yz</p> Signup and view all the answers

    What is the purpose of substituting specific values for variables in algebraic expressions?

    <p>To check for equivalence and simplification</p> Signup and view all the answers

    What is the term for a sum of two terms, such as 5x + 4?

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

    What is the correct order of operations when evaluating an algebraic expression with brackets?

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

    What is the name of the property that allows us to rewrite an algebraic expression in a different form?

    <p>Distributive property</p> Signup and view all the answers

    What is the term for an algebraic expression that has the same numerical value as another expression for any given value of the variable?

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

    Why is it important to follow the order of operations when evaluating algebraic expressions?

    <p>To ensure accuracy</p> Signup and view all the answers

    What is the purpose of writing algebraic expressions?

    <p>To represent sequences of calculations</p> Signup and view all the answers

    What is the name of the diagram used to represent the sequence of operations in an algebraic expression?

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

    What is the purpose of parentheses in an algebraic expression?

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

    What is the correct way to write a product in an algebraic expression?

    <p>With the known number first</p> Signup and view all the answers

    What is the term for the numerical coefficient in a monomial?

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

    What is the purpose of describing sequences of calculations with algebraic expressions?

    <p>To represent sequences of operations</p> Signup and view all the answers

    Which of the following is NOT a convention for writing algebraic expressions?

    <p>Write the multiplication sign explicitly</p> Signup and view all the answers

    What is the result of expanding the product of two binomials (x + 2)(x + 3)?

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

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

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

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

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

    What is the result of expanding the product of two binomials (x - 2)(x + 1)?

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

    What is the result of simplifying the expression 3(x + 2) + 2(x - 1)?

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

    What is the result of squaring the binomial (x + 4)?

    <p>x^2 + 8x + 16</p> Signup and view all the answers

    What is the result of simplifying the expression 2x^2 + 3x + 1 - (x^2 + 2x + 1)?

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

    What is the result of dividing the polynomial 2x^3 + 4x^2 + 6x by the monomial x?

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

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

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

    Simplify the expression $(x + 3)(x + 2) - (x + 1)^2$

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

    What is the result of dividing the polynomial $4x^2 - 2x + 2$ by the monomial $x - 1$?

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

    What is the result of expanding the product of two binomials $(x + 2y)(x - 3y)$?

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

    What is the result of simplifying the expression $2x^2 + 5x - 3 - (x^2 + 2x - 1)$?

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

    What is the result of squaring the binomial $(x + 2y)^2$?

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

    What is the result of expanding the product of two binomials (x + 3)(x + 5)?

    <p>x^2 + 8x + 15</p> Signup and view all the answers

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

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

    What is the result of dividing the polynomial 3x^2 + 6x + 9 by the monomial x + 3?

    <p>3x + 9</p> Signup and view all the answers

    What is the result of substituting x = 2 into the expression 3x^2 + 2x - 1?

    <p>15</p> Signup and view all the answers

    What is the result of simplifying the expression 2(x + 3) - 3(x - 2)?

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

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser