Which of the following shows the correct pairing of a property of operations and its example?(1 point)

Question

Responses

2a +3b = 3b + 2a
; Distributive Property
2 A plus 3 b is equal to 3 b plus 2 A ; Distributive Property

2a + 3b = 3b + 2a
; Commutative Property
2 A plus 3 b is equal to 3 b plus 2 A ; Commutative Property

2(a+3) = 2a+6
; Associative Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Associative Property

2(a+3) = 2a+6
; Commutative Property

Answer 1

The correct pairing of a property of operations and its example is:

2a + 3b = 3b + 2a ; Commutative Property

This is because the Commutative Property states that the order of addition can be changed without affecting the sum.

The other options are incorrect:

• The expression \(2(a+3) = 2a + 6\) refers to the Distributive Property, not the Associative Property.
• The Distributive Property applies when distributing a factor over a sum or difference, while the Associative Property refers to how numbers are grouped in addition or multiplication.