Solving Word Problems

Questions and Answers

What is the first step for solving word problems?

Read the problem carefully for understanding. Look up any unknown words in a dictionary. Draw and label a picture, if appropriate. Decide the kind of problem it is: formula or non-formula, direct translation or common sense.

What is the second step for solving word problems?

Choose a variable, or variables, to represent a convenient unknown quantity, or quantities.

What is the third step for solving word problems?

Write expressions using the variable(s) for other quantities in the problem, both known and unknown.

What is the fourth step for solving word problems?

Write a sentence, or system of sentences, describing the relationship(s) among these expressions. Signup and view all the answers

What is the fifth step for solving word problems?

Solve the sentence or system. Signup and view all the answers

What is the sixth step for solving word problems?

If the result is an identity (sentence that is always true), go back to Step 4. Signup and view all the answers

What is the seventh step for solving word problems?

Write a sentence that answers the question asked in the problem. Signup and view all the answers

What is the eighth step for solving word problems?

Check using the sense of the problem, not just substituting in the sentence. Signup and view all the answers

Study Notes

Eight Steps for Solving Word Problems

First Step: Read the problem carefully to ensure understanding.
- Look up any unfamiliar terms in a dictionary.
- Create a drawing or label a picture if it helps comprehension.
- Determine the nature of the problem: is it formula-based or non-formula, direct translation, or relies on common sense?
Second Step: Assign variables for unknown quantities.
- Choose a variable that represents an ambiguous quantity, especially following comparison phrases like "than," "as," or "compared to."
Third Step: Formulate expressions using the chosen variable(s).
- Create expressions for both known and unknown quantities presented in the problem.
Fourth Step: Develop a narrative about the relationships between the expressions.
- Write sentences or a system of sentences outlining how the quantities relate to each other.
Fifth Step: Solve the constructed sentence or system of equations.
- Apply algebraic methods to find the value of the variable(s).
Sixth Step: Analyze the result.
- If the outcome is an identity (a statement that holds true for all values), return to the fourth step for reevaluation.
Seventh Step: Formulate a concluding sentence that directly answers the original question posed in the problem.
Eighth Step: Validate your solution.
- Use logical reasoning to assess the solution's validity rather than solely substituting values back into the equation.

Description

This quiz covers the eight essential steps for solving word problems in Algebra 2. Each step is explained with definitions and examples to enhance your understanding and problem-solving skills. Test your knowledge and improve your approach to tackling word problems.