A logistics coordinator is managing two separate delivery routes. For Route A, the planned distance (d1) is equal to the actual distance traveled (a1). For Route B, the planned distance (d2) is equal to the actual distance traveled (a2). Which mathematical property justifies the statement that the total planned distance (d1 + d2) is equal to the total actual distance (a1 + a2)?

In a business inventory system, if the physical count of Product A equals its recorded value (a = r) and the physical count of Product B equals its recorded value (b = s), the Extended Addition Property of Equality states that the total physical count is equal to the sum of the records, expressed as a + b = ____.

A retail manager is balancing two separate cash registers. For Register 1, the cash on hand (c1) equals the recorded sales (s1). For Register 2, the cash on hand (c2) equals the recorded sales (s2). The Extended Addition Property of Equality states that if c1 = s1 and c2 = s2, then c1 + c2 = s1 + s2.

Reconciling Invoice Quantities

An HR payroll specialist is verifying total compensation for an employee. The base salary (S) is equal to the contracted amount (C), and the performance bonus (B) is equal to the approved incentive (I). Match each mathematical expression or term with its correct role in applying the Extended Addition Property of Equality to calculate the total pay.

A project manager is consolidating the financial reports for two different project phases. Phase 1's actual expenses ($A_1$) equal its budget ($B_1$), and Phase 2's actual expenses ($A_2$) equal its budget ($B_2$). Arrange the steps below in the correct logical order to demonstrate how the Extended Addition Property of Equality justifies that the total expenses equal the total budget.

Corporate Revenue Verification

Defining the Extended Addition Property for Financial Auditing

A logistics manager is auditing two regional distribution centers. In Center A, the number of incoming units (Ua) is equal to the number of outgoing units (Oa). In Center B, the number of incoming units (Ub) is equal to the number of outgoing units (Ob). If the manager applies the Extended Addition Property of Equality to find the combined totals of both centers, which equation correctly represents this property?

A project manager is consolidating the financial results of two separate project phases. For Phase 1, the actual cost ($C_1$) is equal to the budget ($B_1$). For Phase 2, the actual cost ($C_2$) is equal to the budget ($B_2$). Which statement best describes the principle of the Extended Addition Property of Equality as it applies to the total costs ($C_1 + C_2$) and the total budget ($B_1 + B_2$)?