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Solving Equations for a Specific Variable. When solving for a specific variable, follow the same rules as when you are solving “regular” equations. Begin by identifying the variable you are solving for. Then, SIMPLIFY the equation. Remember – get rid of fractions, parentheses or like terms.
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When solving for a specific variable, follow the same rules as when you are solving “regular” equations. • Begin by identifying the variable you are solving for. • Then, SIMPLIFY the equation. • Remember – get rid of fractions, parentheses or like terms. • Next, ISOLATE that variable by “undoing” the operations around that variable. • Get all of the same variables on the same side of the equal sign. • Then, SOLVE for the variable.
Like this…… 1. Solve for d: 2. Solve for n: Mark the variable you are solving for. “Undo” the operation that “connects” the ‘d’ to the other numbers or variables. What operation connects the 5 to the c2 and to the d? Multiplication – so what is it’s opposite? Division So divide both sides by everything in front of the d.
If I’m solving for “w” I want all of my “w’s” on the LEFT side of the equal sign and all the “u’s” on the RIGHT…..so ISOLATE Now SOLVE for “w”. 3. Solve for w:
4. Solve for u: • If I’m solving for “u” I want all of my “u’s” on the LEFT side of the equal sign and all the “w’s” on the RIGHT…..so ISOLATE • Now SOLVE for “u”.
5. Solve for A: Simplify – get rid of the parentheses then the fraction in this case. Now mark your variable and ISOLATE. And SOLVE for “A” 6. Solve for A:
7. Solve for c: 8. Solve for b: • Simplify – get rid of the parentheses then the fraction in this case. • Now mark your variable and ISOLATE. • And SOLVE for “A”
9. Solve for h: 10. Solve for L: