Question

select the property of operations shown in the statement. rewriting the expression 15x + 9 as 9 + 15x is an example of the choose... property of choose... associative distributive commutative

Explanation:

Step1: Recall Operation Properties

• Associative Property: Changes grouping of addends/multipliers (e.g., \((a + b) + c = a + (b + c)\)).
• Distributive Property: Relates multiplication and addition (e.g., \(a(b + c) = ab + ac\)).
• Commutative Property: Changes order of addends/multipliers (e.g., \(a + b = b + a\)).

Step2: Analyze the Expression

The expression \(15x + 9\) is rewritten as \(9 + 15x\). Here, the order of the two terms (\(15x\) and \(9\)) is swapped. This matches the definition of the Commutative Property of Addition.

Answer:

Commutative