Learn Before
Example of Checking the Answer in a Word Problem
A crucial step in solving a word problem is verifying the calculated answer within the context of the original scenario to ensure it makes logical sense. For instance, if computations yield a 1st month's newspaper weight of 29 pounds, and the problem stated the 2nd month's weight was 28 pounds with a total of 57 pounds, verification involves asking: "Does 1st month’s weight plus 2nd month’s weight equal 57 pounds?" By substituting the values into the equation, you evaluate }29 + 28 \stackrel{?}{=} 57{. Because is a true mathematical statement, it confirms that the answer is logically sound and correct.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.2 Solving Linear Equations and Inequalities - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Related
Example of Reading and Understanding a Word Problem
Example of Identifying What to Find in a Word Problem
Example of Assigning a Variable in a Word Problem
Example of Translating into an Equation in a Word Problem
Example of Solving an Equation in a Word Problem
Example of Checking the Answer in a Word Problem
Example of Answering the Question with a Complete Sentence in a Word Problem
Problem-Solving Strategy for Word Problems
A logistics coordinator needs to determine the number of shipping crates required for a new order. To translate this real-world scenario into a mathematical equation, arrange the following steps in the standard order of the translation process.
A project manager is calculating the total cost of a new software implementation. To translate this real-world scenario into a mathematical equation, they follow a specific four-step process. Match each step of this process with its correct objective.
A logistics manager is following a systematic four-step process to translate a shipping delay word problem into an algebraic equation. After they have completed the second step (restating the problem in one clear sentence), what is the next step they must take according to this process?
A logistics coordinator is following the systematic four-step process to translate a complex shipping delay word problem into an algebraic equation. True or False: During the final 'Translate into an Equation' step, the coordinator should convert the original, multi-sentence problem description directly into mathematical symbols.
Objectives of the Translation Process
Standardizing Budget Equation Models
A financial analyst is translating a verbal request for a revenue projection into an algebraic equation. They choose the letter 'r' to represent the unknown revenue amount. According to the systematic translation process, this choice is recommended because the letter serves as a(n) ____ of the specific quantity being sought.
Professional Application of the Four-Step Translation Process
A project manager is following the systematic four-step process to translate a complex business word problem into an algebraic equation. According to the second step, 'Restate the problem,' what should the manager strive to create?
A retail inventory manager is analyzing a seasonal demand report to determine the necessary order volume for a new product line. According to the systematic four-step translation process, what is the manager's primary goal during the first step, 'Read the problem'?
Learn After
A technician calculates that they need 45 feet of cable for an office installation. They then substitute this value back into the original project requirements to ensure the total matches the sum of the individual room measurements. Which step of the problem-solving process is the technician performing?
A logistics coordinator calculates that a shipment weighs 29 pounds. Given that a second shipment weighs 28 pounds and the total weight is 57 pounds, the coordinator confirms the result by evaluating if 29 + 28 = 57. This specific step in the problem-solving process is known as ____ the answer.
True or False: When solving a workplace word problem, if substituting your calculated value back into the original scenario results in a true mathematical statement (such as $1,500 = $1,500), this confirms that your answer is logically sound and correctly fits the problem's constraints.
A shipping coordinator has calculated the weight of a single crate in a multi-item shipment. To ensure accuracy before finalizing the manifest, they must verify their answer. Arrange the steps of the 'checking' process in the correct order from start to finish.
A logistics coordinator has just calculated the weight of a shipment. To ensure the manifest is accurate, they must perform a final verification. Match each term related to this verification process with its correct description.
Verification Procedure in Professional Problem Solving
Auditing Facility Recycling Records
Verifying Accuracy in Professional Calculations
A project manager calculates that the equipment for a new office installation cost $1,200. The original project requirements stated that the total budget for equipment and furniture combined is $3,000, and the furniture cost is $1,800. Which mathematical statement represents the 'checking' step used to verify that the $1,200 calculation is correct?
An operations analyst calculates that a warehouse needs 12 additional staff members to meet a production quota. To verify this result, they substitute the number back into the original workload requirements and arrive at the statement 12 = 12. What does this true mathematical statement confirm about the analyst's answer?