Algebra Class: Relations Between Quantities

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Questions and Answers

Which algebraic expression represents the phrase 'the quotient of negative eight and the sum of a number and three'?

-8 / (g + 3)

Which algebraic expression represents the phrase 'six less than a number'?

x - 6

Which property of real numbers is shown by the equation -6 + 6 = 0?

Inverse property of addition

Which property of real numbers is shown by the equation 3 + ((-5) + 6) = (3 + (-5)) + 6?

<p>Associative property of addition</p> Signup and view all the answers

Which algebraic expression represents the phrase 'four times a number'?

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

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Study Notes

Algebraic Expressions

  • "The quotient of negative eight and the sum of a number and three" is expressed as -8/(g + 3).
  • "Six less than a number" translates to the expression X - 6.
  • "Four times a number" is represented as 4c.

Properties of Real Numbers

  • The equation -6 + 6 = 0 demonstrates the inverse property of addition, which states that adding a number and its additive inverse results in zero.
  • The equation 3 + ((-5) + 6) = (3 + (-5)) + 6 showcases the associative property of addition, illustrating that the way numbers are grouped does not affect the sum.

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