Solving Fractional Equations Worksheet
A Grade 10 math worksheet focusing on solving various types of fractional equations, including those with binomial denominators and extraneous solutions.
Includes
Standards
Topics
Solving Fractional Equations
Name:
Date:
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Read each question carefully and solve for the variable. Remember to check for extraneous solutions.
1. Solve for x: 5/x = 10
2. Solve for y: 3/(y + 2) = 1
3. The solution to the equation 1/(x - 3) = 2 is x = .
4. For the equation 4/(z + 1) = 2/(z - 1), the value of z is .
5. Which of the following is an extraneous solution for the equation x/(x - 2) = 2/(x - 2) + 1?
x = 0
x = 1
x = 2
x = 3
6. Solve for a: (a + 1)/2 + (a - 1)/3 = 5/6
7. Solve for b and identify any extraneous solutions: 3/(b - 2) + 2/(b + 2) = 5/(b^2 - 4)
8. When solving fractional equations, it is always necessary to check for extraneous solutions.
True
False
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