Use the Associative Property to demonstrate that Expression 1 is equivalent to Expression 2. Explain in 1-2 sentences.

Question

Expression 1: 22r – 13
Expression 2: 19r + (3r – 2) – 11

Answer 1

To demonstrate that Expression 1 (22r – 13) is equivalent to Expression 2 (19r + (3r – 2) – 11), we can rearrange Expression 2 using the Associative Property, which allows us to group terms in different ways.

Starting with Expression 2: 19r + (3r - 2) - 11 = 19r + 3r - 2 - 11 = 19r + 3r - 13 = (19r + 3r) - 13 = 22r - 13.

Since both expressions simplify to 22r - 13, they are equivalent.