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Solving Using the Addition Property
After simplifying an equation to the form , the next step is to isolate the variable . To undo the subtraction of 11, apply the Addition Property of Equality by adding 11 to both sides of the equation: . This operation cancels out the subtraction on the left side, isolating , and updates the right side to 18, producing the final solution .
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Elementary Algebra @ OpenStax
Ch.2 Solving Linear Equations and Inequalities - Elementary Algebra @ OpenStax
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Solving Using the Addition Property
An office manager is reconciling a supply order using the equation 9x - 5 - 8x - 6 = 7, where x represents the cost of a single unit. According to the standard procedure for simplifying equations by combining like terms, what is the simplified form of the left side of this equation?
A logistics coordinator is reconciling a shipment manifest using the equation 9x - 5 - 8x - 6 = 7, where x represents the value of one box. Match each part of the equation or simplification step with its correct description or result based on the standard procedure for combining like terms.
A budget analyst is simplifying the equation $9x - 5 - 8x - 6 = 7x - 11 = 7$.
A logistics coordinator is simplifying the shipment equation $9x - 5 - 8x - 6 = 7$ to determine the unit cost of missing items. Arrange the following steps for simplifying the left side of this equation in the correct chronological order as described in the standard procedure for combining like terms.
Invoice Reconciliation: Equation Simplification
A labor analyst is simplifying the payroll equation $9x - 5 - 8x - 6 = 7$ to determine a budget variance. After combining the like terms on the left side of the equation, the analyst finds that the simplified equation is ____ = 7.
Budget Reconciliation: Equation Simplification
Budget Reconciliation: Equation Simplification Procedure
A warehouse supervisor is simplifying an inventory reconciliation equation: $9x - 5 - 8x - 6 = 7. To make the equation easier to solve, the supervisor rearranges the terms on the left side to group the variable terms and constant terms together, resulting in: $9x - 8x - 5 - 6 = 7. Which mathematical property is used to justify this rearrangement of terms?
A project coordinator is simplifying the budget variance equation $9x - 5 - 8x - 6 = 7-5-6$, what is the resulting value as described in the standard procedure?
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Checking the Solution of
A logistics coordinator uses the equation x - 11 = 7 to calculate the original number of units in a shipment before 11 units were delivered. Which action correctly applies the Addition Property of Equality to isolate the variable x?
In a corporate inventory system, a manager uses the equation x - 11 = 7 to determine the original stock level (x) after 11 units were shipped. To isolate x using the Addition Property of Equality, the manager must add the specific number ____ to both sides of the equation.
A logistics manager is solving the equation x - 11 = 7 to determine the total number of items needed for a shipment. Arrange the following steps in the correct order to solve for x using the Addition Property of Equality.
An HR coordinator uses the equation to find the original number of staff members () after 11 were reassigned to a different department, leaving 7 in the current group. True or False: To isolate the variable using the Addition Property of Equality, the coordinator should add 11 to both sides of the equation.
Applying the Addition Property in Logistics
A department manager is using the equation to find the original number of laptops in an order after 11 were assigned to new employees, leaving 7 in storage. Match each part of the solving process with its correct definition or value based on the Addition Property of Equality.
Pharmacy Supply Chain Audit
Recalling the Addition Property for Budget Adjustments
A retail analyst is solving the equation to determine the initial inventory level of a product before 11 units were sold. To isolate the variable using the Addition Property of Equality, the analyst must recognize that addition is the inverse operation of which operation currently acting on in the equation?
A facilities manager is solving the equation to determine the initial number of desks in an office suite before 11 desks were moved to another floor. When applying the Addition Property of Equality by adding 11 to both sides, the manager knows that the terms and on the left side of the equation will combine to equal which value?