Gr 9 WISKUNDE: Hfst 5 Ops Algebraïese Uitdrukkings
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 the correct order of operations in an algebraic expression with no brackets?

  • Division, then multiplication, then addition, then subtraction
  • Addition and subtraction, then multiplication and division
  • Multiplication and division, then addition and subtraction (correct)
  • Subtraction, then addition, then division, then multiplication
  • What is the term for an algebraic expression with one term?

  • Monomial (correct)
  • Polynomial
  • Binomial
  • Trinomial
  • What should be calculated first in an algebraic expression with brackets?

  • Multiplication and division
  • Addition and subtraction
  • Terms inside the brackets (correct)
  • Terms outside the brackets
  • What is the purpose of algebraic language?

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

    What is 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

    What is the convention for writing the numerical coefficient in a monomial?

    <p>Write the coefficient first, then the variable</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 should be performed from left to right in expressions without brackets?

    <p>Addition and subtraction</p> Signup and view all the answers

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

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

    What is the correct way to write an algebraic expression?

    <p>Omit the multiplication sign between terms</p> Signup and view all the answers

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

    <p>Expressions in brackets, then 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 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 result of squaring the binomial (a + b)?

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

    What is the purpose of simplifying an algebraic expression?

    <p>To combine like terms and eliminate unnecessary variables</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 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 values into algebraic expressions?

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

    What is the correct way to write the product of a number and a variable in an algebraic expression?

    <p>Write the number first, then the variable</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 simplified form of the expression 2x + 3x^2 + 5x - 4x^2?

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

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

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

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

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

    What is the result of simplifying the expression 2x^2 + 3x + 4x^2 + 5x?

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

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

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

    Which of the following algebraic expressions has the same numerical value as $2x + 3$ for any given value of $x$?

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

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

    <p>2x^2 + 7x + 6</p> Signup and view all the answers

    What is the correct sequence of operations when evaluating the algebraic expression $2 * (3 + 4) - 1$?

    <p>Add 3 and 4, then multiply by 2, and finally subtract 1</p> Signup and view all the answers

    Which of the following is a correct convention for writing algebraic expressions?

    <p>Always write the known number first in a product</p> Signup and view all the answers

    What is the simplified form of the expression 3x^2 + 2x + 5x^2 - 3x?

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

    What is the result of evaluating the expression 3x^2 + 2x - 4 when x = 1?

    <p>1</p> Signup and view all the answers

    What is the term for an algebraic expression that consists of a sum of two monomials?

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

    Which of the following algebraic expressions is not a monomial?

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

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

    <p>3x + 2 - 4/x</p> Signup and view all the answers

    What is the correct way to evaluate the algebraic expression $3x + 2 + 5 - 2$?

    <p>Add 3x, 2, and 5, then subtract 2</p> Signup and view all the answers

    Which of the following is a correct description of the variable term in an algebraic expression?

    <p>The variable term is the part of the expression that is not a number</p> Signup and view all the answers

    What is the correct way to evaluate the algebraic expression $2x * 3 + 4$?

    <p>Multiply 2x and 3, then add 4</p> Signup and view all the answers

    Which of the following algebraic expressions is equivalent to $(x + 2)(x + 3)$?

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

    What is the correct way to describe the sequence of operations in the algebraic expression $(2x + 1) + 3$?

    <p>Evaluate the expression within the brackets first, then add 3</p> Signup and view all the answers

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

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

    What is the result of simplifying the expression $2x^2 + 3x + 4x^2 + 5x - 3x^2$?

    <p>$3x^2 + 8x$</p> Signup and view all the answers

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

    <p>$3x + 1 - \frac{3}{2x}$</p> Signup and view all the answers

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

    <p>$13$</p> Signup and view all the answers

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

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

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

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

    Simplify the expression 2x + 3x^2 + 5x - 4x^2.

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

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

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

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

    <p>3x + 2 - 4/x</p> Signup and view all the answers

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

    <p>2x^2 + 7x + 6</p> Signup and view all the answers

    More Like This

    Understanding Algebraic Expressions
    10 questions
    Gr 9 MATH: Ch 5.1  Algebraic Language
    20 questions
    Math Gr 8 Ch 7: Algebraic Language
    18 questions
    The Language of Algebra Flashcards
    10 questions
    Use Quizgecko on...
    Browser
    Browser