Solving Using the Addition Property
To solve the equation , the objective is to isolate the variable by reversing the subtraction of . Apply the Addition Property of Equality by adding to both sides:
On the left side, , leaving just . On the right side, . This simplifies to .
To verify, substitute back into the original equation: , which simplifies to . Since this is a true statement, is confirmed as the correct 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
If , and the same number is added to both sides, which equation is true?
Arrange the steps in order to show how the Addition Property of Equality is used to solve .
To solve , you add 20 to both sides. Which property justifies this step?
If , then . This is the _____ Property of Equality.
. Using the Addition Property of Equality, if 25 is added to , what must be done to ?
If , then for any number . True or False?
Match each item with the correct part of the Addition Property of Equality.
Solving Using the Subtraction Property
Solving Using the Subtraction Property
Solving Using the Addition Property
Solving Using the Addition Property
Translating and Solving 'Eleven more than is equal to 54'
Translating and Solving 'The Difference of and is '
Solving Using the Division Property
Solving Using the Multiplication Property
Solving by Simplifying Both Sides
Solving by Distributing and Simplifying
Translating and Solving ' is the product of and '
Translating and Solving ' divided by is '
Translating and Solving 'The quotient of and is '
Translating and Solving 'Three-fourths of is '
Translating and Solving 'The sum of three-eighths and is one-half'
Solving by Collecting Constants
Solving by Collecting Variables
Solving by Collecting Variables and Constants
Solving by Collecting Variables and Constants
Solving by Collecting Variables and Constants
Solving by Collecting Variables and Constants
A logistics coordinator uses the equation 4x + 10 = 50 to calculate shipping costs, where 'x' is the weight of a package in pounds. To verify if a weight of 10 pounds is a solution to this equation, arrange the standard verification steps in the correct order.
In a business analytics role, you are tasked with verifying if a specific value is a 'solution' to a performance equation. Which of the following best describes the definition of a solution in this context?
In a technical audit of a business formula, a specific value is correctly identified as a 'solution' to an equation if, after substituting that value for the variable and simplifying both sides, the resulting mathematical statement is false.
A quality control analyst is verifying if a specific measurement 'm' is a solution to a manufacturing tolerance equation. Match each stage of the verification process with its correct procedural action.
Final Step in Verifying a Solution
Project Timeline Formula Verification
Standard Procedure for Verifying Equation Solutions
A project coordinator is verifying if a specific labor cost is a solution to a construction budget equation. The first procedural step in this verification is to ________ the labor cost value for the variable wherever it appears in the equation.
A project coordinator is verifying if a specific cost estimate is a solution to a budget formula. If the variable 'c' appears in multiple places within the formula, where should the coordinator substitute the estimate to correctly follow the first step of the verification process?
A logistics manager is verifying if a specific fuel surcharge 's' is a solution to a transportation cost equation. According to the standard three-step verification process, what must be done with the expressions on the left and right sides of the equals sign immediately after the surcharge value has been substituted?
Learn After
A financial analyst is reconciling a budget discrepancy represented by the equation . To isolate the variable 'a' and find the starting value, which mathematical action should be taken on both sides of the equation?
A warehouse supervisor is reconciling a stock deficit using the equation a - 28 = -37. To solve for the initial stock level 'a' using the Addition Property of Equality, the supervisor must add the value ____ to both sides of the equation.
A financial analyst is tracking a department's budget balance using the equation a - 28 = -37, where 'a' is the starting balance. Match each part of the solution process with its correct description.
A logistics coordinator is analyzing a shipment shortage using the equation . According to the Addition Property of Equality, the coordinator should add 28 to both sides of the equation to isolate the variable 'a'.
A project manager is reconciling a budget deficit where a $28 cost overrun resulted in a final balance of -$37. This is represented by the equation . Arrange the following steps in the correct order to solve for the initial budget amount 'a' using the Addition Property of Equality.
Identifying Algebraic Properties in Inventory Reconciliation
Inventory Deficiency Reconciliation
Applying the Addition Property in Account Reconciliation
A warehouse manager uses the equation to reconcile an inventory deficit, where 'a' represents the starting stock level. Using the Addition Property of Equality, what is the value of 'a'?
An accounts receivable clerk is verifying the solution to the equation , which was used to reconcile a ledger discrepancy. If the clerk has determined the solution is , which of the following equations correctly represents the substitution step required to check this result?