Generating...                               thisquiz_n16

Quiz 5

Mathematics Department
Tennessee Technological University


Date: November 21, 2017


This page will be updated as needed.

  1. Determine which rational expression is not in lowest terms ?

    $ \frac{x+5}{x^2+3x+2}$

    $ \frac{x^2-1}{x^3-1}$

    $ \frac{x+1}{x-1}$

    $ \frac{x^2+6}{x-1}$

  2. Simplify the expression $ \frac{1}{x^2-5x+4}+\frac{1}{x^2-1}$.

    $ \frac{2}{(x-1)(x-4)}$

    $ \frac{2x+3}{(x+1)(x-1)(x-4)}$

    $ \frac{2x-3}{(x+1)(x-1)(x-4)}$

    $ \frac{5}{(x+1)(x-1)}$

  3. The LCD of the rational expressions $ \frac{1}{x^2-5x+4}$, $ \frac{1+x^2}{x^3-1}$, and $ \frac{1}{x^2-1}$ is:

    $ (x-4)(x+1)(x^2+xy+y^2)$

    $ (x+1)(x-4)(x+1)$

    $ (x-1)(x-4)(x+1)(x^2+xy+y^2)$

    $ (x-1)(x-4)(x^2+xy+y^2)$

  4. Simplify the rational expression $ \frac{x^2-2x+1}{x^2-3x+2}$

    $ \frac{x-2}{x-1}$

    $ \frac{x-1}{x-2}$

    $ x-1$

    $ x-2$

  5. Simplify the complex fractions $ \frac{x+\frac{1}{x}}{1-\frac{x+1}{x^2+1}}$

    $ \frac{x^2(x+1)}{(x^2-1}$

    $ \frac{x^2+1}{x(x-1)}$

    $ \frac{x^2(x-1)}{(x^2+1)^2}$

    $ \frac{(x^2+1)^2}{x^2(x-1)}$





Department of Mathematics
Last modified: 2017-11-21