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Word Problem Modeling
Lesson 7
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Lesson 7: Translating Word Problems

Convert text context into solvable algebra.

Model unknown quantities with variables first, then map rates, fixed costs, and totals into one equation.

Key formula

Total=rate⋅x+fixed\text{Total}=\text{rate}\cdot x+\text{fixed}

Worked example

11x+31=97⇒x=611x+31=97\Rightarrow x=6

Checkpoint

A plan costs 21 plus 11 per unit. If total is 43, find units.\text{A plan costs }21\text{ plus }11\text{ per unit. If total is }43\text{, find units.}

Recap

  • - Define unknowns before writing equations.
  • - Keep units attached to coefficients.
  • - Check final answer against context.
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