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Solving Fractional Equations

This worksheet focuses on solving various types of fractional equations for Grade 9 students, covering techniques to eliminate denominators and isolate variables.

Grade 9 Math AlgebraSolving Fractional Equations
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Includes

2 Short AnswerFill in the BlanksTrue / FalseMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.REI.A.2

Topics

AlgebraFractionsEquationsGrade 9
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. Show all your work.

1. Solve for x: (x/3) + (x/2) = 5

2. Solve for x: (x+1)/4 - (x-2)/3 = 1

3. To eliminate fractions in an equation, multiply every term by the   of all the denominators.

4. When solving (3/(x-2)) = (5/(x+4)), the first step is to   both sides.

5. The equation 1/x = 0 has a solution of x = 1.

T

True

F

False

6. Which of the following is an extraneous solution for the equation (x^2 - 9)/(x - 3) = 6?

a

x = 3

b

x = -3

c

x = 6

d

No extraneous solution

7. Solve for y: (2y)/(y-1) + (1)/(y+1) = 2