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Solving Using the Addition Property
Solving the equation involves isolating the variable and working with decimals. First, apply the Addition Property of Equality by adding to both sides, which gives . This simplifies the left side to . Adding the decimals on the right side yields . To check the solution, substitute back into the original equation for , which gives . Subtracting on the left side produces , a true statement confirming that is the correct solution.
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Ch.2 Solving Linear Equations and Inequalities - Elementary Algebra @ OpenStax
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Solving Using the Addition Property
Solving Using the Addition Property
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Extended Addition Property of Equality
A logistics supervisor is balancing two shipping scales that currently show the same weight (a = b). If the supervisor places a 5-pound calibration weight (c) on both scales, which equation represents the Addition Property of Equality?
In a corporate budgeting spreadsheet, if the projected revenue for Department A is equal to the projected revenue for Department B, adding the same year-end bonus amount to both totals will ensure the revenues remain equal. This principle is defined as the ____ Property of Equality.
In a warehouse inventory system, if Bin A and Bin B contain the same number of items, adding 10 additional items to both bins will ensure they still contain an equal number of items. This principle is known as the Addition Property of Equality.
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A business administrator is adjusting financial records to ensure that balance is maintained across identical accounts. Match the following terms related to the Addition Property of Equality with their correct descriptions or examples.
Equity in Salary Adjustments
A project manager needs to adjust two departmental budgets that are currently identical. Arrange the steps in the correct order to demonstrate the application of the Addition Property of Equality when adding a uniform 'overhead allowance' to both budgets.
The Principle of Mathematical Balance in Professional Documentation
A warehouse supervisor is balancing inventory counts between two identical storage units that currently hold the same number of items. If the supervisor adds 25 additional items to the first unit, what action does the Addition Property of Equality require to ensure the units still contain an equal number of items?
A retail analyst is using the equation x - 20 = 80 to determine the original stock level (x) of a product after 20 units were sold. To isolate the variable x by adding 20 to both sides of the equation, which mathematical property must the analyst recall?
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An accounting clerk is adjusting a ledger entry. The equation n - 0.63 = -4.2 represents the relationship between the initial balance 'n', a service fee of 0.63, and the final balance of -4.2. According to the Addition Property of Equality, which action should be taken to isolate 'n'?
In a financial audit, a discrepancy 'n' is identified. After subtracting a processing fee of 0.63, the remaining balance is -4.2. This is represented by the equation n - 0.63 = -4.2. To isolate 'n' using the Addition Property of Equality, you must add the value ____ to both sides of the equation.
A project manager is reconcile a budget variance 'n' using the equation . Match each component of the solution process with its correct description.
An environmental technician is calibrating a water level sensor. The variable represents the initial level, and after a downward adjustment of $0.63-4.2n - 0.63 = -4.2n$ and verify the result.
A warehouse manager is tracking a small inventory variance 'n' using the equation . To isolate the variable 'n' using the Addition Property of Equality, the manager must add $0.63$ to both sides of the equation.
Ledger Balance Adjustment
Precision Sensor Calibration
Logistics Manifest Reconciliation
A nurse is verifying a dosage adjustment variance using the equation . After solving the equation, the nurse determines the solution is . Which of the following equations represents the correct way to substitute this value back into the original equation to check the answer?
A laboratory technician is determining a temperature adjustment using the equation . What is the resulting value of that solves this equation?