Solving Fractional Equations Worksheet
This worksheet provides practice problems for solving fractional equations at a Grade 12 level, covering various techniques and complexities.
Includes
Standards
Topics
Solving Fractional Equations
Name:
Date:
Score:
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))?
Multiply by (x+1)
Multiply by (x-1)
Multiply by (x^2 - 1)
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.
True
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?
Related Worksheets
Perfect Square Trinomials
This worksheet focuses on identifying, factoring, and constructing perfect square trinomials, essential skills for Grade 12 Algebra.
Equations with Infinite and No Solutions
Explore linear equations that result in infinite solutions (identities) or no solutions (contradictions) at a Grade 12 level.
Grade 12 Algebra: Standard Form
A Grade 12 math worksheet focusing on converting between different forms of linear equations, identifying slopes and intercepts, and graphing linear equations in standard form.
Characteristics of Parabolas Worksheet
Explore and identify the key characteristics of parabolas, including vertex, focus, directrix, and axis of symmetry.
Solving Equations with Variables on Both Sides
This worksheet provides practice on solving linear equations where variables appear on both sides of the equals sign.
Evaluating Algebraic Expressions
This worksheet focuses on evaluating complex algebraic expressions involving various operations and functions, suitable for Grade 12 students.
Graphing Parabolas Worksheet
A Grade 12 math worksheet on graphing parabolas, covering standard form, vertex form, and intercepts.
Grade 12 Sigma Notation Worksheet
A comprehensive worksheet for Grade 12 students covering sigma notation, including evaluating sums, expanding series, and writing expressions in sigma notation.