Algebra Class: Expressions and Operations
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Questions and Answers

What is the algebraic expression for 'The sum of a number and 7, multiplied by 3'?

  • 3 + x + 7
  • (3 * x) + 7
  • 3x + 7
  • 3 * (x + 7) (correct)
  • What is the algebraic expression for 'Nine less than twice a number'?

  • 9 * 2x
  • 2(x - 9)
  • 2x - 9 (correct)
  • 9 - 2x
  • Which algebraic expression represents 'Two times the difference between a number and five'?

  • 2 * (x + 5)
  • 2 - (x - 5)
  • 2 * (x - 5) (correct)
  • 2x - 5
  • Which of the following correctly represents 'The quotient of a number and 5, increased by 3'?

    <p>x / 5 + 3 (D)</p> Signup and view all the answers

    What is the algebraic expression for 'The product of a number and four, decreased by ten'?

    <p>4x - 10 (D)</p> Signup and view all the answers

    If y represents a number, what is the algebraic expression for 'Six more than three times the number'?

    <p>6 + 3y (B)</p> Signup and view all the answers

    Flashcards

    3 times a number

    The product of 3 and the variable representing the number.

    The sum of a number and seven

    The sum of the variable representing the number and 7.

    5 less than a number

    Subtract 5 from the variable representing the number.

    The product of two numbers, a and b

    The product of the variables 'a' and 'b' is represented as their multiplication.

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    Seven less than twice a number

    Subtract 7 from twice the variable representing the number.

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    Study Notes

    Algebraic Expressions

    • "3 times a number": 3x (where x represents the number)
    • "The sum of a number and seven": x + 7
    • "5 less than a number": x - 5
    • "The product of two numbers, a and b": ab
    • "Seven less than twice a number": 2x - 7
    • "Fifteen fewer than a number": x - 15
    • "Twice a number": 2x
    • "The quotient of a number and five": x/5 or x ÷ 5
    • "The difference between twenty and a number": 20 - x
    • "Three times the sum of a number and seven": 3(x + 7)

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    Description

    Test your understanding of algebraic expressions with this quiz. It covers various ways to represent numbers and operations algebraically, including basic operations and their formulations. Perfect for reinforcing your knowledge in algebra concepts.

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