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Word Problem Modeling
Lesson 6
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Lesson 6: 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

14x+22=64⇒x=314x+22=64\Rightarrow x=3

Checkpoint

A plan costs 7 plus 5 per unit. If total is 42, find units.\text{A plan costs }7\text{ plus }5\text{ per unit. If total is }42\text{, find units.}

Recap

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