Generating...                               part2_n0

  1. An equation of the line passing through ( 1 , 3 ) having slope $\displaystyle -{{3}\over{4}}$ is

    4y − 3x = −15

    −4y − 3x = 15

    −4y − 3x = −15

    4y − 3x = 15

    −4y − 3x = −9

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

    two lines intersecting where $\displaystyle x=-{{1}\over{2}}$

    one line

    two distinct parallel lines

    two lines intersecting where x = 1

    two lines intersecting where $\displaystyle y=-{{1}\over{2}}$

  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. $\displaystyle \frac{1}{ -2 + \sqrt{11}}$ =

    $\displaystyle \frac{ -2 - \sqrt{11}} { 15} $

    $\displaystyle \frac{ -2 + \sqrt{11}} { 15} $

    $\displaystyle \frac{ -2 + \sqrt{11}} { -7} $

    $\displaystyle \frac{ -2 - \sqrt{11}} { -7} $

    $2 + \sqrt{11} $

  5. If $x>0$ and $y>0$, then $\sqrt{ 8 \sqrt{ 256 x^{ 4} y^{ 8}}}$ =

    $\displaystyle 32\,x^2\,y^2$

    $\displaystyle 32\,x\,y^2$

    $\displaystyle 2^{{{11}\over{2}}}\,x\,y^2$

    $\displaystyle 4\,x^2\,y^4$

    $\displaystyle 2^{{{7}\over{2}}}\,x\,y^2$

  6. The inequality $\displaystyle x^2-12\,x<13$ is equivalent to

    −1 < x < 12

    −1 < x < 13

    −13 < x < 1

    −12 < x < 1

    x <  − 1 or x > 13

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

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

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

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

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

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


Department of Mathematics
Last modified: 2026-03-24