To demonstrate that Expression 1 is equivalent to Expression 2 using the Associative Property, we will simplify both expressions and show that they yield the same result.
Expression 1:
\[ 22r - 13 \]
Expression 2:
\[ 19r + (3r - 2) - 11 \]
Let's simplify Expression 2 step by step.
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Simplify the parentheses in Expression 2: \[ 19r + (3r - 2) - 11 = 19r + 3r - 2 - 11 \]
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Combine like terms:
- Combine the \(r\) terms: \[ 19r + 3r = 22r \]
- Combine the constant terms: \[ -2 - 11 = -13 \]
Putting these together: \[ 19r + (3r - 2) - 11 = 22r - 13 \]
Conclusion:
Both Expression 1 and Expression 2 simplify to \(22r - 13\):
- Expression 1: \(22r - 13\)
- Expression 2: \(22r - 13\)
Thus, we have shown that Expression 1 is equivalent to Expression 2 using the Associative Property, as they both yield the same result.