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Translate the word phrases into algebraic expressions. seven times the difference of \( x \) and \( b \)

Ask by Thornton Gardner. in the United States
Jan 21,2025

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Answer

"Seven times the difference of \( x \) and \( b \)" is written as \( 7(x - b) \).

Solution

The phrase "seven times the difference of \( x \) and \( b \)" can be translated into the following algebraic expression: \[ 7(x - b) \] **Explanation:** - **Difference of \( x \) and \( b \):** This translates to \( x - b \). - **Seven times the difference:** Multiply the difference by 7, resulting in \( 7(x - b) \).

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Mind Expander

To translate the phrase "seven times the difference of \( x \) and \( b \)" into an algebraic expression, you first need to recognize that the "difference" refers to subtraction. So, the difference of \( x \) and \( b \) is expressed as \( x - b \). When you multiply this difference by seven, you get the expression: \( 7(x - b) \). Now, let’s break it down even more: when translating phrases like this, it helps to carefully identify actions—the subtraction here—and the numbers or variables involved. Misplacing terms or operators can alter the meaning significantly, so it’s essential to read the phrase slowly and identify each mathematical component.

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