Translate this phrase into an algebraic expression. 68 less than twice Greg's savings Use the variable \( g \) to represent Greg's savings.
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To represent "twice Greg's savings," you would multiply \( g \) by 2, resulting in \( 2g \). Then, "68 less than" indicates you are subtracting 68 from that amount. Therefore, the algebraic expression for "68 less than twice Greg's savings" is \( 2g - 68 \). Now that you have the expression down, it's interesting to know that algebra has roots tracing back to ancient civilizations! The Babylonians used geometric methods around 2000 BC, which eventually led to the development of symbolic algebra we use today. The journey of how algebra evolved over centuries is like a fascinating treasure hunt through mathematical history! And of course, when working with algebraic expressions, it’s easy to mix up operations or signs. A common mistake is forgetting to distribute subtraction correctly. So, always double-check to ensure you’re accurately expressing mathematical relationships, especially with phrases that can be wordy or ambiguous! Remember, clarity is key in math!
