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1
Isolating a Variable in a Formula.
To isolate a particular variable in a formula:
1. Treat all other variables like constants.
2. Isolate the desired variable using the addition and multiplication principle.
F Isolate variable using the Addition Principle.
• Solve each of the following equations for the indicated variable.
1. x − 5y = 4, for x.
2. A + B + C = 180, for B.
F Isolate variable using the Multiplication Principle.
• Solve each of the following equations for the indicated variable.
3. I = P rt, for r.
4. P = I 2R, for R.
2
F Isolate variable using the both Principles.
• Solve each of the following equations for the indicated variable.
5. 2x − 5y = 10, for y.
6. y = mx + b, for m.
7.
x y
− = 1, for y.
4 2
9
8. F = C + 32, for C.
5
F Challenge Problem (To Keep you all Off the streets) . . . please work in
groups.
9-10 • Solve each of the following equations for the indicated variable. Check your answers.
Mm
9. V = h(πr2 − lw), for w.
10. F = G 2 , for m.
R