Generating...                               part2_n5

  1. $\displaystyle {{x-1}\over{x^2-9}} \times {{16\,x-48}\over{4\,x-4}} $ = ?

    $\displaystyle {{8}\over{x-3}}$

    $\displaystyle {{16}\over{x+3}}$

    $\displaystyle {{4}\over{x-3}}$

    $\displaystyle {{4}\over{x^2-9}}$

    $\displaystyle {{4}\over{x+3}}$

  2. $\displaystyle \frac{1}{ -3 + \sqrt{7}}$ =

    $\displaystyle \frac{ -3 - \sqrt{7}} { 2} $

    $\displaystyle \frac{ -3 + \sqrt{7}} { 16} $

    $\displaystyle \frac{ -3 - \sqrt{7}} { 16} $

    $3 + \sqrt{7} $

    $\displaystyle \frac{ -3 + \sqrt{7}} { 2} $

  3. The graph of $\displaystyle y=2\,x^2-20\,x$ is symmetric with respect to the line

    y = 5

    y = −5

    x = 10

    x = −5

    x = 5

  4. If $x>0$ and $y>0$, then $\sqrt{ 125 \sqrt{ 81 x^{ 10} y^{ 6}}}$ =

    $\displaystyle 3\,x^5\,y^3$

    $\displaystyle 9\,5^{{{3}\over{2}}}\,x^2\,y\,\sqrt{x\,y}$

    $\displaystyle 45\,x^2\,y\,\sqrt{x\,y}$

    $\displaystyle 45\,x^5\,y^5$

    $\displaystyle 3\,5^{{{3}\over{2}}}\,x^2\,y\,\sqrt{x\,y}$

  5. An equation of the line passing through ( 1 , −2 ) having slope $\displaystyle -{{1}\over{4}}$ is

    −4y − x = −7

    4y − x = −7

    −4y − x = 7

    4y − x = 7

    −4y − x = 9

  6. The graph of the system of equations \begin{displaymath}\begin{cases} 2\,y-x=4 \\ [1ex] -6\,y-3\,x=12 \end{cases}\end{displaymath} consists of

    two lines intersecting where y = −4

    two distinct parallel lines

    two lines intersecting where x = 4

    two lines intersecting where x = −4

    one line

  7. The inequality $\displaystyle x^2-7\,x<8$ is equivalent to

    −8 < x < 1

    x <  − 1 or x > 8

    −7 < x < 1

    −1 < x < 8

    −1 < x < 7


Department of Mathematics
Last modified: 2026-10-28