A procurement officer is comparing two different price models for office supplies represented by the equation ${}7y + 14 = 7(y + 2)$, where $y$ represents the number of units ordered. After simplifying the equation and arriving at the true statement ${}14 = 14$, the officer must classify the equation for a report. What is the correct mathematical term for an equation like this that is true for every possible value of the variable?

Classifying Equivalent Maintenance Contracts

A warehouse manager is evaluating two inventory cost formulas: ${}7y + 14$ and ${}7(y + 2)$, where $y$ represents the number of items in a shipment. To determine if these formulas are identical, the manager sets up the equation ${}7y + 14 = 7(y + 2)$. Match each component of the classification process with its correct description.

A payroll manager is verifying two different formulas for calculating employee benefits. To confirm the formulas are equivalent, the manager sets up the equation ${}7y + 14 = 7(y + 2)$. Arrange the following steps in the correct order to classify this equation according to the simplification process.

A financial analyst simplifies a revenue projection equation, ${}7y + 14 = 7(y + 2)$, and arrives at the statement ${}14 = 14$. Because the variables are completely eliminated leaving a true numerical statement, this equation is classified as an identity.

A logistics coordinator simplifies the capacity equation ${}7y + 14 = 7(y + 2)$ to verify two different routing models. After distributing the 7 on the right side and subtracting the variable terms, the coordinator is left with the statement ${}14 = 14$. Because the variables are completely eliminated leaving a statement that is universally true for any value of $y$, the coordinator classifies the original equation as an ____.

Analyzing Shipping Plan Costs