Solving Rational Equations (Algebra 2)
Free printable Algebra 2 algebra worksheet on solving rational equations and checking for extraneous solutions that make a denominator zero.
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Algebra 2 · Math worksheet
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Algebra 2: Solving Rational Equations
Solve each equation. Clear the fractions, solve the resulting equation, then CHECK every candidate against the domain restrictions, rejecting any extraneous solution that makes a denominator zero.
- 1.Solve, checking for extraneous solutions: 6/(x - 4) = 3/(x - 6)
- 2.Solve, checking for extraneous solutions: x/(x - 4) = 2 + 4/(x - 4)
- 3.Solve, checking for extraneous solutions: x/(x + 1) = -1/(x + 1) + 1/(x - 3)
- 4.Solve, checking for extraneous solutions: 5/(x - 1) = 4/(x - 6)
- 5.Solve, checking for extraneous solutions: x/(x + 5) = 2 + 4/(x + 5)
- 6.Solve, checking for extraneous solutions: x/(x + 4) = -1/(x + 4) - 1/(x - 4)
- 7.Solve, checking for extraneous solutions: x/(x + 1) = 2 - 1/(x + 1)
- 8.Solve, checking for extraneous solutions: x/(x - 1) = 1/(x - 1) + 6/(x + 4)
- 9.Solve, checking for extraneous solutions: 3/(x - 3) = 2/(x - 5)
- 10.Solve, checking for extraneous solutions: x/(x + 3) = 3/(x + 3) + 5/(x - 5)
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