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Comparison of Algebraic Structure to English Grammar
In mathematics, the structure of algebra closely mirrors the grammar of the English language. An algebraic expression is analogous to an English phrase: it expresses a single mathematical thought but is incomplete by itself because it lacks a verb. For example, the expression translates to the phrase "the sum of three and five." In contrast, an algebraic equation is analogous to a complete English sentence. An equation combines two expressions using an equal sign ($$=$), which acts as the verb (e.g., "is equal to"). This creates a complete mathematical statement, just as a subject and verb create a complete sentence in English.
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
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Comparison of Algebraic Structure to English Grammar
In a corporate financial model, which term describes a mathematical statement that uses an equal sign (=) to show that two expressions, such as 'Total Revenue' and 'Price per Unit times Units Sold', represent the same value?
A logistics manager uses a spreadsheet to show that 'Total Shipping Cost' is equal to 'Cost per Mile' multiplied by 'Total Miles'. This mathematical statement, which uses an equal sign to connect two expressions, is known as an algebraic ____.
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A data analyst is building a formula in a project management dashboard. To change a mathematical expression like 'Total Revenue - Total Cost' into a complete algebraic equation, which component must be added to connect it to another expression?
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