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Strategy for Solving Formula-Based Applications
When a word problem involves a known formula, the general seven-step problem-solving strategy is adapted so that the Translate step uses the formula directly rather than constructing an equation from scratch. The revised steps are:
- Read the problem and make sure all the words and ideas are understood.
- Identify what you are looking for.
- Name the unknown by choosing a variable to represent it.
- Translate by writing the appropriate formula for the situation and substituting in the given information.
- Solve the resulting equation using standard algebra techniques.
- Check the answer in the original problem to make sure it is reasonable.
- Answer the question with a complete sentence.
Organizing the known and unknown quantities into a small chart before substituting can help keep the information clear. For instance, when working with , listing which of , , and are given and which is unknown makes it straightforward to substitute and solve.
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References
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.3 Math Models - Elementary Algebra @ OpenStax
Algebra
Math
Ch.5 Systems of Linear Equations - Elementary Algebra @ OpenStax
Ch.9 Roots and Radicals - Elementary Algebra @ OpenStax
Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax
Prealgebra
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