Learn Before
Example: Solving a Word Problem about Puzzles
Apply the seven-step problem-solving strategy to a word problem involving solving for an unknown quantity derived from a "more than twice" relationship.
Problem: Gerry worked Sudoku puzzles and crossword puzzles this week. The number of Sudoku puzzles he completed is eight more than twice the number of crossword puzzles. He completed Sudoku puzzles. How many crossword puzzles did he do?
Step 1. Read the problem. Step 2. Identify what you are looking for: How many crossword puzzles did Gerry do? Step 3. Name what we are looking for: Let = the number of crossword puzzles. Step 4. Translate: Restate the problem into an equation. The number of Sudoku puzzles () is eight more than twice the number of crossword puzzles (), which translates to: . Step 5. Solve the equation: Subtract from both sides: Divide by : Step 6. Check: If he completed crossword puzzles, is eight more than twice that equal to ? Twice is , and . The total matches the Sudoku puzzles. Step 7. Answer: Gerry did crossword puzzles.
0
1
Tags
OpenStax
Intermediate Algebra @ OpenStax
Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
Algebra
Related
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