Question

Match the correct property of operations to each pair of equivalent expressions so that the property can be applied to

the first expression to generate the second expression Drag the items on the left to the correct location on the right
(x+20) + 12 and 7x +(24+12)
Distributive Property
Commutate Property
x+4y-Sy and x-5y
Associative Property
21x+28y and 7(3x + 4y)
combining like terms
Ty + 6x and 6x + 7y

Answer 1

Check below

Explanation:

Hi, let's check

1.
`(7x+20) + 12 \:and\: 7x +(24+12)\\`

In this case we have the Associate Property, since we can associate two, or even three terms without modify the final result.

2.
`21x+28y \:=\: 7(3x + 4y)`

Distributive Property, note that that the right side is the left side rewritten as a product, with the GCF outside the brackets.

3. Commutative Property

`7y + 6x \:and\: 6x + 7y`

The order of these sum does not compromise the result.

4.
`x+4y-Sy \:and\: x-5y`

Combining like terms, similar terms are operated together.