A warehouse manager is combining two inventory reports to determine the total stock of three different electronic components. The first report lists the components as ${}3x^2 + 7x + 9$ and the second report lists them as ${}7x^2 + 9x + 8$. Based on the procedure for combining like terms, what is the simplified expression for the total inventory?

A project manager is calculating the total budget for two phases of a marketing campaign. The budget for Phase 1 is represented by the algebraic expression ${}3x^2 + 7x + 9$, and the budget for Phase 2 is ${}7x^2 + 9x + 8$. If the manager simplifies the overall budget by combining like terms, the resulting expression will be ${}10x^2 + 16x + 17$.

A project supervisor is consolidating two departmental cost models: ${}3x^2 + 7x + 9$ and ${}7x^2 + 9x + 8$. To create a master report, the supervisor must follow the procedure for combining like terms. Match each group of terms from the original models to its correctly simplified sum.

A logistics coordinator is merging two departmental efficiency models represented by the expressions ${}3x^2 + 7x + 9$ and ${}7x^2 + 9x + 8$. To simplify the total efficiency model, arrange the following steps in the correct order according to the procedure for combining like terms.

Consolidating Departmental Supply Models