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Quiz 3

Mathematics Department
Tennessee Technological University


Date: November 23, 2017


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  1. Simplify the expression $ 6(xyz^2)(2x^3z^5)$:

    $ 12x^3yz^7$

    $ 12x^4yz^7$

    $ 12x^4yz^{10}$

    $ 12xyz$

  2. Simplify the expression $ xy^2+xy-4xy^2+5xy-xy^3$ by combining like terms:

    $ -3xy^2+5xy-xy^3$

    $ 3xy^2+4xy-xy^3$

    $ -3xy^2+6xy-xy^3$

    $ -3xy^2+6xy+xy^3$

  3. Simplify the expression $ (m^2-m+1)-(2m^2-m+2)+(m^2-6)$.

    $ -7$

    $ 4m^2+2m+9$

    $ -m^2-2m-9$

    $ m^2+m+7$

  4. Find product $ (x^3-z)(z-x^3)$ and simplify.

    $ -x^6+2zx^3-z^2$

    $ x^9-2zx^3+2z$

    $ x^3+2zx+z^2$

    $ x^6-2zx^3+z^2$

  5. Determine which statement is correct ?

    $ \frac{27}{8}=\Big(\frac{3}{2}\Big)^3$

    $ x^2+y^2=(x+y)^2$

    $ (x-y)(x+2y)=x^2-xy-2y^2$

    $ 1^0=0$

  6. Divide $ x^3+3x^2+3x+1$ by $ x+1$.

    $ x^2-2x+2$

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

    $ x^2+2x+1$

    $ x^2-3x+1$





Department of Mathematics
Last modified: 2017-11-23