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.

Grade 10 Math AlgebraSolving Fractional Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSA.REI.A.2

Topics

AlgebraFractional EquationsRational ExpressionsGrade 10 Math

7 sections · Free to use · Printable

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Solving Fractional Equations

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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