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Word Problem Modeling
Lesson 8
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Lesson 8: 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

4x+19=51⇒x=84x+19=51\Rightarrow x=8

Checkpoint

A plan costs 23 plus 10 per unit. If total is 53, find units.\text{A plan costs }23\text{ plus }10\text{ per unit. If total is }53\text{, find units.}

Recap

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