Use the Associative Property to demonstrate that Expression 1 is equivalent to Expression 2.

Expression 1: 22r−13


Expression 2: 19r+(3r−2)−11

1 answer

Expression 2: 19r + (3r - 2) - 11

To show that Expression 1 is equivalent to Expression 2, we can apply the associative property by grouping like terms together.

Expression 2 can be simplified as follows:

19r + (3r - 2) - 11 = 19r + 3r - 2 - 11

Using the associative property, we can group the terms (19r and 3r) together:

= (19r + 3r) - 2 - 11

Simplifying further:

= 22r - 2 - 11

= 22r - 13

Therefore, Expression 1 (22r - 13) is equivalent to Expression 2 (19r + (3r - 2) - 11) using the associative property.