The Sum of Four Times a Number and Two is Fourteen

The Sum of Three Times a Number and Seven is Twenty-Five

During an inventory audit, a warehouse manager notes that "the sum of 6 times the number of shipping pallets and 15 is 135." If $p$ represents the number of pallets, recall the correct algebraic translation for this statement based on the mathematical keywords "sum" and "times."

A department manager is calculating the budget for new equipment. The total cost is described by the statement: 'The sum of four times the number of workstations ($w$) and a 200 dollar setup fee is 1400 dollars.' Arrange the following steps of the seven-step problem-solving strategy in the correct order to find the number of workstations.

A fleet manager is calculating the total monthly maintenance cost for a company's delivery vehicles. The cost breakdown is summarized by the statement: 'The sum of four times the monthly service fee per vehicle ($v$) and a ${}150$ administrative charge is ${}2750$.'

Match each key term or symbol from this professional statement to its corresponding role in the resulting algebraic equation.

Logistics Vehicle Fleet Analysis

A project manager is calculating the total cost of equipment and states: 'The sum of four times the number of software modules ($m$) and 20 is 100.' To solve the resulting algebraic equation ${}4m + 20 = 100$ using the standard problem-solving strategy, the first inverse operation that must be performed to isolate the variable term is ____.

In a small business accounting spreadsheet, a sales manager represents the weekly revenue with the following statement: 'The sum of six times the number of high-tier service contracts sold ($c$) and a 120 dollar basic registration fee is 900 dollars.'

To translate this professional statement into an equation, the correct algebraic representation is ${}120c + 6 = 900$.

Supply Chain Algebraic Translation