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Solving Fractional Equations Worksheet

This worksheet provides practice problems for solving fractional equations at a Grade 12 level, covering various techniques and complexities.

Grade 12 Math AlgebraSolving Fractional Equations
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.D.7

Topics

AlgebraFractional EquationsGrade 12Mathematics
8 sections · Free to use · Printable
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Solving Fractional Equations

Name:

Date:

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Carefully read each question and solve the fractional equations. Show all your work for full credit. Remember to check for extraneous solutions.

1. Solve for x: (3x / 4) + (1 / 2) = (5x / 6)

2. When solving the equation (x / (x-2)) = (3 / (x-2)) + 1, the value x =   is an extraneous solution because it makes the denominator equal to zero.

3. Which of the following is the correct first step to clear the denominators in the equation (2 / (x+1)) - (1 / (x-1)) = (4 / (x^2 - 1))?

a

Multiply by (x+1)

b

Multiply by (x-1)

c

Multiply by (x^2 - 1)

d

Multiply by (x+1)(x-1)

4. Solve for y: (y / (y-3)) - (2 / (y+3)) = (12 / (y^2 - 9))

5. The equation (1 / x) + (1 / (x+1)) = (2x+1) / (x(x+1)) has no extraneous solutions.

T

True

F

False

6. A boat travels 60 miles upstream in the same amount of time it travels 90 miles downstream. If the speed of the current is 5 mph, what is the speed of the boat in still water?

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