Simplify Expressions Practice
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Questions and Answers

What is the simplified form of the expression (7x^4 + 5 - 2x) + (6x - 7 + 6x^4)?

  • 18x^4 + 5
  • 20x^4 + 4x - 4
  • 13x^4 + 4x + 5
  • 13x^4 + 4x - 4 (correct)
  • Which of the following represents the expression (3 - 2x)(7x + 1) correctly simplified?

  • 21x - 6x^2 - 2
  • 21x - 14x^2 - 2
  • 21x - 14x^2 - 1
  • 21x - 6x^2 - 1 (correct)
  • What is the result of simplifying (4p^2 + 2 - 4p) - (7p - p^2 + 1)?

  • -5p^2 + 11p + 1
  • 5p^2 - 11p + 1 (correct)
  • 5p^2 - 5p + 1
  • -5p^2 + 13p + 5
  • After simplification, what is the correct expression for (8k - 2k^3 - 6k^2) - (2k^2 + 4k - 3k^3)?

    <p>-6k^3 + 11k^2 + 4k</p> Signup and view all the answers

    What is the simplified form of (2 - 7x^4 - 4x^2) - (2x^4 - 7x - 4)?

    <p>-9x^4 - 4x^2 + 7x</p> Signup and view all the answers

    After expanding and combining like terms, what is the correct result for (v - 1)(4v + 1)?

    <p>4v^2 - v - 1</p> Signup and view all the answers

    What is the result of simplifying the expression $(n + n)(n - n)$?

    <p>$0$</p> Signup and view all the answers

    If $(k + k)(k - k)$ is simplified, what is the result?

    <p>$0$</p> Signup and view all the answers

    Simplify the expression $(x + x)(x - x)$.

    <p>$0$</p> Signup and view all the answers

    What is the result of simplifying $(m + m)(m - m)$?

    <p>$0$</p> Signup and view all the answers

    Simplify the expression $(r + r)(r - r)$.

    <p>$0$</p> Signup and view all the answers

    What is the result of simplifying $(n + n)(n - n)$?

    <p>$0$</p> Signup and view all the answers

    Simplify the expression $(x + x)(x - x)$.

    <p>$0$</p> Signup and view all the answers

    What is the result of simplifying $(a + a)(a - a)$?

    <p>$0$</p> Signup and view all the answers

    What is the product of $(k)(k)$?

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

    What is the product of $(x)(x)$?

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

    What is the simplified form of (x + x^2)(x - x^2)?

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

    If (n + n^2)(n - n) is simplified, what is the result?

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

    What is the simplified form of (a + a^2)(a - a^2)?

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

    If (x + x^2)(x + x^2) is expanded, what is the result?

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

    What is the product of (x + x^2)(x - x^2)?

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

    If (x - x^2)(x - x^2) is simplified, what is the result?

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

    What is the simplified form of (x + x^2)(x + x^2)?

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

    What is the simplified form of (m)(m)?

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

    If (n)(n) is simplified, what is the result?

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

    What is the product of (x - x^2)(x + x^2)?

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

    Study Notes

    Here are the study notes for the text:

    • Simplifying Expressions*
    • Simplify each expression by combining like terms:
      • Example: (2x^2 + 3x - 4) - (x^2 - 2x + 1) = x^2 + 5x - 3
      • Example: (3k + 2) - (k - 1) = 2k + 3
    • Product of Expressions*
    • Find the product of two expressions:
      • Example: (k + 2)(k - 3) = k^2 - k - 6
      • Example: (2x + 1)(x - 4) = 2x^2 - 7x - 4
    • Simplifying Expressions with Multiple Variables*
    • Simplify expressions with multiple variables:
      • Example: (2x^2y + 3xy - 4y) - (x^2y - 2xy + 1) = x^2y + 5xy - 3y
      • Example: (3m^2n + 2mn - 5n) - (m^2n - 3mn + 2n) = 2m^2n + 5mn - 3n
    • Product of Expressions with Multiple Variables*
    • Find the product of two expressions with multiple variables:
      • Example: (2m + 3n)(m - 2n) = 2m^2 - 7mn - 6n^2
      • Example: (3x^2y - 2xy + 1)(2x^2y + 3xy - 4) = 6x^4y^2 - 13x^3y^2 - 3x^2y^2 + 5xy^2 + 4

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    Description

    This worksheet by Kuta Software LLC contains practice questions for simplifying expressions. Students are required to simplify algebraic expressions by combining like terms and performing operations such as addition, subtraction, and multiplication.

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