Question

Match the property to the example given
*
Associative Property Commutative Property Distributive Property
2 +5 = 5 + 2
(4 + 2) + 1= 4 + (2 + 1)
3(x + 2) = 3x+6
2 +5 = 5 + 2
(4 + 2) + 1= 4 + (2 + 1)
3(x + 2) = 3x+6

Answer 1

Here are the matches for each property to the given examples:

1. **Commutative Property**: \(2 + 5 = 5 + 2\)
(This property states that the order of addition does not affect the sum.)

2. **Associative Property**: \((4 + 2) + 1 = 4 + (2 + 1)\)
(This property states that the way numbers are grouped does not affect the sum.)

3. **Distributive Property**: \(3(x + 2) = 3x + 6\)
(This property states that multiplying a number by a sum is the same as doing each multiplication separately and then adding the results.)

So the final matches are:
- Commutative Property: \(2 + 5 = 5 + 2\)
- Associative Property: \((4 + 2) + 1 = 4 + (2 + 1)\)
- Distributive Property: \(3(x + 2) = 3x + 6\)