Gr 9 WISKUNDE: Hfst 5 Ops Algebraïese Uitdrukkings

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

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

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

What should be performed from left to right in expressions without brackets?

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

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

<p>x (A)</p> Signup and view all the answers

What is the correct way to write an algebraic expression?

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

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

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

What is the result of squaring the binomial (a + b)?

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

What is the distributive property of division?

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

What is the purpose of substituting values into algebraic expressions?

<p>To check for equivalence and simplification (D)</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 (B)</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 (C)</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 (D)</p> Signup and view all the answers

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

<p>10 (C)</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 (C)</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 (B)</p> Signup and view all the answers

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

<p>4 (B)</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>$(2 + 1)x + 3$ (A), $2x + 3 + 0$ (B), $x + 2x + 3$ (C), $3 + 2x - 0$ (D)</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 (A)</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 (D)</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 (A), Never write the multiplication sign in a product (D)</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 (B)</p> Signup and view all the answers

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

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

Which of the following algebraic expressions is not a monomial?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

<p>21 (C)</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 (B)</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 (D)</p> Signup and view all the answers

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