Math Gr 8 Ch 7: Expand and Simplify Algebraic Expressions
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Questions and Answers

What is the result of applying the distributive property to the expression 2(x + 3)?

  • x + 6
  • 2x + 6 (correct)
  • 2x + 5
  • 2x - 3
  • Which of the following expressions is a product expression?

  • 2(x + 3) (correct)
  • 2x + 3
  • x + 2x
  • x^2 + 4x
  • When expanding the expression 3(2x - 1), what is the first step?

  • Rearrange terms to group like terms together
  • Multiply each term inside the parenthesis by the factor outside (correct)
  • Simplify the quotient expression
  • Combine like terms
  • What is the result of simplifying the expression $(2x)^2$?

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

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

    <p>27x^6</p> Signup and view all the answers

    What is the result of simplifying the expression $\sqrt{x^2}$?

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

    What is the purpose of the distributive property in algebra?

    <p>To multiply a single term by each term within a parenthesis</p> Signup and view all the answers

    What type of expression is (2x + 3x^2)?

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

    What is the final step in expanding an algebraic expression?

    <p>Combining like terms</p> Signup and view all the answers

    What is the result of applying the square of a product formula to the expression ((2x)^2)?

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

    What is the purpose of rearranging terms in an algebraic expression?

    <p>To combine like terms</p> Signup and view all the answers

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

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

    What is the result of applying the distributive property to the expression $a(2b + 3c - 4d)$?

    <p>$2ab + 3ac - 4ad$</p> Signup and view all the answers

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

    <p>$3x^3 + 8x^2 + 4x$</p> Signup and view all the answers

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

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

    What is the result of simplifying the expression $\sqrt{(2x)^2}$?

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

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

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

    What is the result of simplifying the expression $\sqrt{(3x)^3}$?

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

    What is the result of applying the distributive property to the expression $-2(x - 3y + 2z)$?

    <p>$-2x + 6y - 4z$</p> Signup and view all the answers

    What type of expression is $(2x + 3y)(x - 2y)$?

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

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

    <p>$2x^3 - 7x^2 - 6x$</p> Signup and view all the answers

    What is the result of applying the distributive property to the expression $(x + 2)(x - 3)$?

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

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

    <p>$9x^4 + 12x^3 + 4x^2$</p> Signup and view all the answers

    What is the result of simplifying the expression $\sqrt{(2x)^3}$?

    <p>$2x\sqrt{x}$</p> Signup and view all the answers

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