Learn Before
Problem-Solving Strategy for Word Problems
A systematic, seven-step strategy helps in solving algebraic word problems effectively:
- Read the problem carefully to ensure all words and ideas are understood.
- Identify exactly what you are looking for.
- Name what you are looking for by choosing a variable to represent that quantity.
- Translate the situation into an equation. It can be helpful to first restate the problem in a single sentence containing the important information.
- Solve the equation using appropriate algebraic techniques.
- Check the calculated answer against the original problem to make sure it makes logical sense.
- Answer the original question with a complete, clearly written sentence.
0
1
Contributors are:
Who are from:
References
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Intermediate Algebra
OpenStax Intermediate Algebra
OpenStax Intermediate Algebra
OpenStax Intermediate Algebra
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.3 Math Models - Elementary Algebra @ OpenStax
Algebra
Math
Ch.5 Systems of Linear Equations - Elementary Algebra @ OpenStax
Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax
Prealgebra
Intermediate Algebra @ OpenStax
Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
Ch.6 Factoring - Intermediate Algebra @ OpenStax
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
Example: Solving a Word Problem for a Car's Sticker Price
Solving a Word Problem for the Cost Per Pound of Grapes
Solving a Word Problem for a Car's Original Price
Strategy for Solving Formula-Based Applications
Solving a Word Problem for the Number of Boys in a Study Group
Number Problems
Expressing Multiple Unknowns in Terms of a Single Variable
Solving a Combined-Earnings Word Problem Using 'Less Than Twice'
Solving a Tip Calculation Using a Percent Equation
Finding the Total Recommended Daily Amount of Potassium
Finding the Percent of Calories from Fat
Mixture Problems
Problem-Solving Strategy for Systems of Linear Equations
Discarding Unrealistic Negative Solutions in Applications
A retail manager is calculating the necessary markup for a new product line to meet a specific profit goal. To solve this word problem using the standard seven-step algebraic strategy, arrange the first four steps in the correct chronological order.
A project manager is training a new hire on the company's standard seven-step algebraic strategy for solving budget-related word problems. Match each step of the strategy with its correct description to ensure the team follows a consistent process.
A payroll specialist is using the standard seven-step problem-solving strategy to determine a staff member's total overtime compensation. After solving the algebraic equation, the specialist must perform the 'Check' step. What is the primary objective of this step?
Finalizing the Algebraic Problem-Solving Process
A project manager is using the standard seven-step problem-solving strategy to calculate the total budget for a new initiative. True or False: The 'Identify' step of this strategy involves choosing a specific variable, such as 'x', to represent the unknown budget amount.
Recruitment Budget Analysis
A logistics coordinator is following a seven-step strategy to calculate the total number of shipping containers needed for a large export order. After choosing a variable to represent the unknown quantity, the coordinator converts the written requirements of the problem into a mathematical equation. This fourth step in the problem-solving strategy is the ____ step.
Standardizing the Problem-Solving Workflow
A procurement officer is using the standard seven-step algebraic strategy to determine the unit cost of a large supply order. In the third step of this process, known as 'Name', what specific action is required?
A training coordinator is using a standard seven-step strategy to calculate the number of workshops needed for a department expansion. After successfully translating the word problem into a mathematical equation, what is the next step the coordinator must perform according to this strategy?
Solving for Two Consecutive Odd Integers Whose Product is
Solving for Two Consecutive Odd Integers Whose Product is
Solving for Two Consecutive Odd Integers Whose Product is
Example: Solving a Word Problem about Snowfall
Example: Solving a Word Problem about Books
Example: Solving a Word Problem about Puzzles