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Integrated Math 1 / Unit 2: Equations and Inequalities

2.2 Literal Equations and Formulas

3 practice questionsNot yet reviewed

Notes

A literal equation has several variables. To solve for one variable, treat the others as numbers and use inverse operations.

  • Solve $y = mx + b$ for $m$: $y - b = mx$, so $\displaystyle m = \frac{y - b}{x}$.
  • Whatever you do to one side, do to the whole other side.
  • Example: solve $d = rt$ for $t$: $\displaystyle t = \frac{d}{r}$.
  • Divide every term when you divide, not just one.

Practice

Solve $y = mx + b$ for $m$.
Solve $\displaystyle C = \frac{5}{9}(F - 32)$ for $F$.
Solve $3x + 2y = 12$ for $y$.

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