Question

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

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
; Commutative Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Commutative Property

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

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

Answer 1

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

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

This statement reflects the commutative property, which states that the order of addition (or multiplication) does not affect the sum (or product).

Here’s a breakdown of the other examples for clarification:

- **2(a+3) = 2a+6; Distributive Property**
This shows the distributive property, as it involves distributing the multiplication over addition.

- **2a + 3b = 3b + 2a; Commutative Property**
This is indeed correct, as previously mentioned.

- The final one, **2(a+3) = 2a+6; Associative Property**, is incorrect, as the associative property refers to how numbers are grouped in addition or multiplication, not how they are distributed.

So the best choice is: **2a + 3b = 3b + 2a; Commutative Property.**