Question

Aiden is given the equation 8(x-2)=x+5 to solve. In his first step he rewrites it as 8x-16=x+5. Which of the following properties justifies Aiden's first step? Commutative Property of Multiplication Submit Answer Associative Property of Multiplication Distributive Property of Multiplication Identity Property of Multiplicaiton

Answer 1

Aiden used the Distributive Property of Multiplication to expand the equation 8(x-2) and rewrite it as 8x-16.

Step-by-step explanation:

Aiden's first step in solving the equation 8(x-2)=x+5 is justified by the Distributive Property of Multiplication. This property states that multiplying a number by a sum of terms (like x - 2) is the same as doing each multiplication separately (8 times x, and 8 times -2) then adding the results. It's important to apply the multiplication to each term within the brackets to maintain equation equality.

Answer 2

Aiden's first step is justified by the Commutative Property of Multiplication.

Step-by-step explanation:

The property that justifies Aiden's first step of rewriting the equation as 8x-16=x+5 is the Commutative Property of Multiplication. This property states that the order of the operands does not affect the result of multiplication. In this case, Aiden is rearranging the terms on both sides of the equation, which is allowed under the Commutative Property of Multiplication.

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