Modeling with Linear Equations

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Section 1.3

• Modeling with Linear Equations

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Mathematical Modeling

• Start with the verbal description.
• Derive verbal model.
• Derive algebraic equation.

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Steps to Problem Solving

• Read the problem carefully!
• What information is given?
• What are you asked to find?
• What relations exist between the two?
• Can you describe this with an equation?

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Key words to watch for
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Equality

• Equals, equal to
• Is, are, was, will be
• Represents

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Addition

• Sum, Plus
• Greater than, More than
• Increased by, Exceeds
• Total of

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Subtraction

• Difference, minus
• Less than, Decreased by
• Subtracted from,
• Reduced by
• The remainder

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Multiplication

• Product
• Multiplied by
• Twice, Times
• Percent of

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Division

• Quotient
• Divided by
• Ratio
• Per

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Examples