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Solving Literal Equations

Solving Literal Equations. Solve for a variable given an equation. PEMDAS. We have experience using order of operations to do computations. Order of Operations: P arenthesis, E xponentiation, M ultiplication/ D ivision, A ddition/ S ubtraction.

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Solving Literal Equations

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  1. Solving Literal Equations Solve for a variable given an equation.

  2. PEMDAS • We have experience using order of operations to do computations. • Order of Operations: Parenthesis, Exponentiation, Multiplication/Division, Addition/Subtraction. • In a way, solving for a variable given in an equation is like working PEMDAS in reverse. I like to compare it to untying shoes.

  3. Example • Solve for t: Undo multiplication, so divide:

  4. Example • Solve for Δx: • Δx is multiplied by 2a and added to vo2. • Subtract: • Divide:

  5. Example • Solve for vo: • Subtract: • Take the square root:

  6. Example • Solve for G: • Cross-multiply to clear fractions: • Divide:

  7. Example • Solve for do: • Subtract and simplify: • Cross multiply:

  8. Example (optional) • Solve for t: (t appears twice in the equation, so use quadratic equation formula or factor is possible.) • Put in standard form (quadratic equation): • Use quadratic equation or factor if possible:

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