# Rational Equations Module A

Source: algebrica.org - CC BY-NC 4.0
https://algebrica.org/exercises/rational-equations-module-a/
Fetched from algebrica.org test 6054; source modified 2025-03-15T16:39:23.

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\\[
\\text{A1. } \\quad \\frac{3x-2}{5-2x} = 0
\\]

 [solution](../rational-equation-a-1.md)

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\\[
\\text{A2. } \\quad 1-\\frac{6}{x} = -\\frac{8}{x^2}
\\]

 [solution](../rational-equation-a-2.md)

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\\[
\\text{A3. } \\quad \\frac{2x+1}{6} = \\frac{1}{x}
\\]

 [solution](../rational-equation-a-3.md)

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\\[
\\text{A4. } \\quad \\frac{1}{x+2}-\\frac{1}{x-1} = \\frac{2}{x^2-1}
\\]

 [solution](../rational-equation-a-4.md)

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\\[
\\text{A5. } \\quad \\frac{2x}{x+1}-\\frac{3}{x+5} = \\frac{-8x^2}{x^2+6x+5}
\\]

 [solution](../rational-equation-a-5.md)

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\\[
\\text{A6. } \\quad \\frac{4x-x}{3x+2}-\\frac{1}{9x^2-4} = 0
\\]

 [solution](../rational-equation-a-6.md)

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\\[
\\text{A7. } \\quad \\frac{1}{x-4} = \\frac{7}{x^2+x-20}
\\]

 [solution](https://algebrica.org/rational-equation-a-7/)

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\\[
\\text{A8. } \\quad \\frac{x-5}{x^3+9x+27x+27} =0
\\]

 [solution](../rational-equation-a-8.md)

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\\[
\\text{A9. } \\quad \\frac{x^2-9}{x-3} = 4
\\]

 [solution](../rational-equation-a-9.md)

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\\[
\\text{A10. } \\quad \\frac{x^2+4x-5}{x-1} = \\frac{x-2}{2}
\\]

 [solution](../rational-equation-a-10.md)