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Chapter 1: Problem 13

Use the commutative property of addition to write an equivalent algebraic expression. $$5(x+3)$$

Short Answer

Expert verified
The equivalent algebraic expression for \(5(x+3)\) using the commutative property of addition is \(15 + 5x\).

Step by step solution

01

Distribute the multiplication over addition

Firstly, apply the distributive property of multiplication over addition. That is, multiply each term inside the parentheses by 5. Therefore, \(5(x + 3)\) becomes \(5x + 15\).
02

Applying the Commutative Property of Addition

The commutative property of addition implies that you can change the order of addition without changing the result. Apply this property to the expression \(5x + 15\) to get an equivalent expression, \(15 + 5x\).

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