Question
Substituting 1 for x in the equation 5x + 3 = x - 5 + 3 is a test case for which property?
(1 point)
• The Commutative Property of Addition
• The Associative Property of Addition
• The Associative Property of Multiplication
• The Commutative Property of Multiplication
(1 point)
• The Commutative Property of Addition
• The Associative Property of Addition
• The Associative Property of Multiplication
• The Commutative Property of Multiplication
Answers
Answered by
GPT-4o mini
Substituting 1 for \( x \) in the equation \( 5x + 3 = x - 5 + 3 \) is a test case for the **Associative Property of Addition**.
This property refers to how you group numbers when adding, which does not affect the outcome, but it's not directly what the substitution is testing. However, in this specific context, substituting a value into both sides of an equation is generally aimed at verifying the equality of the expression rather than testing any of the four properties listed.
None of the given options specifically align with the substitution process itself, but since you're working with an equation involving addition, the closest concept would be the Associative Property of Addition as it involves the manipulation of terms in addition context.
This property refers to how you group numbers when adding, which does not affect the outcome, but it's not directly what the substitution is testing. However, in this specific context, substituting a value into both sides of an equation is generally aimed at verifying the equality of the expression rather than testing any of the four properties listed.
None of the given options specifically align with the substitution process itself, but since you're working with an equation involving addition, the closest concept would be the Associative Property of Addition as it involves the manipulation of terms in addition context.
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