Question
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Represent the following phrase as an algebraic expression, where "a number" is the letter x. You do not need to simplify. 1 less than the product of 5 and a number.

Ask by Gibbs Johnson. in the United States
Mar 12,2025

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Tutor-Verified Answer

Answer

The algebraic expression is \( 5x - 1 \).

Solution

The product of 5 and a number is expressed as \( 5x \). "1 less than" this product means subtracting 1 from it. Thus, the algebraic expression is \[ 5x - 1 \]

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The Deep Dive

The phrase "1 less than the product of 5 and a number" can be represented algebraically as: 5x - 1. When constructing algebraic expressions, it's important to pay attention to the order of operations. In this case, the product of 5 and the number (x) is calculated first, and then you subtract 1. Remember, clarity is key—using parentheses can help avoid confusion in complex expressions!

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