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Mastering Formulas: Unlocking Variables to Reveal Specific Solutions

Learn how to solve for variables in formulas to uncover precise information. Clear fractions, distribute, and apply inverse operations to solve equations. Practice examples and assignments included.

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Mastering Formulas: Unlocking Variables to Reveal Specific Solutions

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  1. 3.7 Formulas • Goal: To solve for a given variable in a formula

  2. Why would you want to solve for a formula? • Solving for a variable in your formula can give you more specific information

  3. How to Solve Formulas… • Our goal is to undo everything that is being done to the variable that we are trying to solve for by doing the opposite operation.

  4. Steps • Clear Fractions by multiplying by LCD to every term • Distribute • Collect like terms on same side of = • APE • MPE

  5. t t Example 1: Solve for r d = r • t

  6. 2• • 2 r r Example 2: Solve for h

  7. Example 3:Solve for “c”. 3k = a + b + c - a - b - a - b 3k – a - b = c

  8. Example 4: Solve for “r”:C = 2  r

  9. Example 5: Solve for “m”:E = m c2

  10. Example 6:

  11. Ex 7:

  12. Example 8: Solve for l: P=2l +2w

  13. Example 9: Solve for t: v = 3k t

  14. Ex 10: x-a=a(y-b) solve for a

  15. Assignment:Page 142#’s 2-40(even)

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