Solving Fractional Equations
This worksheet focuses on solving fractional equations, requiring students to find common denominators, simplify expressions, and identify extraneous solutions.
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Solving Fractional Equations
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Solve each fractional equation. Remember to check for extraneous solutions.
1. Solve for x: \(\frac{3}{x} + \frac{2}{5} = \frac{1}{x}\)
2. Find the value of y: \(\frac{y}{y+2} - \frac{1}{y} = \frac{2}{y(y+2)}\)
3. Which of the following is an extraneous solution for the equation \(\frac{x}{x-3} = \frac{3}{x-3} + 2\)?
x = 3
x = -3
x = 0
x = 1
4. When solving fractional equations, the first step is often to find the of all denominators.
5. A solution that arises from the process of solving an equation but is not a valid solution to the original equation is called an solution.
6. The equation \(\frac{1}{x-1} = \frac{1}{x+1}\) has no real solutions.
True
False
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