Practice Problems

Find all solutions to the equations.
  1. \dfrac{x}{x-1}=-\dfrac{2}{x-3}

    Choose all answers that apply:

    1. -5
    2. -1
    3. 0
    4. 2
    5. 3
    6. 4

  2. \dfrac{17-3x}{(x-3)(x-4)}=\dfrac{x+1}{x-4}

    Choose all answers that apply:

    1. -5
    2. -3
    3. -2
    4. 0
    5. 1
    6. 4

  3. -\dfrac{2}{x-3}=\dfrac{x}{x-6}

    Choose all answers that apply:

    1. -5
    2. -3
    3. -2
    4. 0
    5. 1
    6. 4

  4. -\dfrac{2}{x(x+2)}=\dfrac{x+3}{x+2}

    Choose all answers that apply:

    1. -5
    2. -2
    3. -1
    4. 0
    5. 3
    6. 4

Source: Khan Academy, https://www.khanacademy.org/math/college-algebra/xa5dd2923c88e7aa8:rational-expressions-and-equations/xa5dd2923c88e7aa8:rational-equations/e/rational-equations-3
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