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NOTES 2.4 Applying the Principles to Formulas Instructor: Sandra Peterson Isolating a Variable in a Formula: _______________________________________________ 1. ___________________________________________________________________________ 2. ___________________________________________________________________________ Your turn. Isolate vi in the formula that describes the velocity of an object after being accelerated from an initial velocity (vi), v = vi + at. Isolate a Variable using the Multiplication Principle a. Isolate b in the formula for the area of a parallelogram, A = bh. b. Isolate I in the voltage formula for a series circuit with two resistors, V = I(R + r). Isolate a Variable Using Both Principles a. Isolate t in the formula that describes the velocity of an object after being accelerated from an initial velocity, v = vi + at. b. Isolate n in the formula T nt R. r 1. What would you do to isolate w in the formula l = w – 2? Why? ______________________ __________________________________________________________________________ 2. What would you do to isolate p in the formula C = np? Why? ________________________ ___________________________________________________________________________ 3. To isolate y in 2x + 3y = 8, what would you do first? Why? __________________________ ___________________________________________________________________________ 4. How can you verify that your answer is correct after isolating a variable in a formula? ___________________________________________________________________________ Answers to even number exercises. 2. Divide both sides by n. Since p is multiplied by n, dividing by n divides out the n, thereby isolating p. 4. Substitute values for the variables and evaluate.