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Choose two axioms that allow 6 + (x + 5) to be written x + 11.

Acommutative - addition
Bdistributive
Cassociative - multiplication
Dsymmetric
Ecommutative - multiplication

F) associative - addition

G) identity - addition

Verified Answer :

syed514

associative means that you can move the parenthesis around the problem and still get the same answer. like (4+2)+3=4+(2+3)
first & sixth are the true

frika

Basic number properties:

  • The Distributive Property: \(a\cdot (b+c)=a\cdot b+a\cdot c;\)
  • The Associative Property for addition: \(a+(b+c)=(a+b)+c;\)
  • The Associative Property for multiplication: \(a\cdot (b\cdot c)=(a\cdot b)\cdot c;\)
  • The Commutative Property for addition: \(a+b=b+a;\)
  • The Commutative Property for multiplication: \(a\cdot b=b\cdot a;\)
  • Identity Property
    : Any number add to the zero the answer is the number itself;
  • The symmetric property states that if one number is equal to a second number, then the second number is equal to the first number.

For the expression 6 + (x + 5):

  1. use The Commutative Property for addition - 6+(x+5)=(x+5)+6;
  2. use The Associative Property for addition - (x+5)+6=x+(5+6)=x+11.

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