In a business expense report, the phrase 'the sum of five times the travel cost (m) and the lodging cost (n)' is correctly represented by the algebraic expression 5m + n.

A department manager is setting up a spreadsheet to calculate project costs. Match each verbal instruction to its corresponding algebraic expression to ensure the formulas are entered correctly.

A payroll administrator is setting up a new calculation in the company's accounting software. The instruction is to calculate 'five times the sum of the base pay (m) and the overtime pay (n)'. Which algebraic expression should the administrator enter?

Translating Grouped Algebraic Instructions

In professional documentation, it is important to distinguish between different algebraic structures. While 'the sum of five times $m$ and $n$' is represented as $5m + n, the phrase 'five times the sum ofm$and$n$' is represented as ____.

Recalling the Rule for Grouped Operations in Business Formulas

A warehouse supervisor needs to translate the following pay-rate instruction into a spreadsheet formula: 'five times the sum of the base rate ($m$) and the shift differential ($n$).' To correctly translate this into the expression $5(m + n)$, arrange the following steps of the translation process in the correct order.

Translating Sales Commission Structures

In a corporate budgeting spreadsheet, an administrator translates the instruction 'five times the sum of the equipment cost ($m$) and the shipping fee ($n$)' into the algebraic expression $5(m + n)$. Why are the parentheses necessary in this expression?

Why is 'the sum of five times $m$ and $n$' written as $5m + n$ without parentheses?