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Translate the following phrase into an algebraic expression using the variable \( x \) to represent the cost of the jersey. Do not simplify. \[ \text { the cost of purchasing a football helmet and jersey if the helmet costs } \$ 4 \text { less than twice the cost of the jersey } \]

Ask by Todd Howell. in the United States
Feb 04,2025

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The algebraic expression is \( x + (2x - 4) \).

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Mind Expander

The cost of purchasing a football helmet can be expressed as \( 2x - 4 \), where \( x \) is the cost of the jersey. Therefore, the total cost of both the helmet and the jersey can be written as \( (2x - 4) + x \). To enjoy a bit of history, did you know that algebraic expressions date back to ancient civilizations? The Babylonians used simple geometric methods to solve problems that we would now express in algebraic form. It was during the Islamic Golden Age that algebra began to evolve into the comprehensive discipline we know today, thanks to scholars like Al-Khwarizmi, who wrote the first major work on algebra. In terms of real-world application, understanding how to create algebraic expressions can help in budgeting and shopping. If you're planning to buy sports gear, knowing how to express costs algebraically can assist in calculating total expenses before heading to the cash register, ensuring you don’t accidentally overspend. Whether it's a new jersey or helmet, algebra is a handy tool for making smart financial decisions!

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