1. If y > 0 then $\sqrt{ 25\,y^2 + 144\,y^2} =$

    169y

    17y

    y

    13y

    5y

  2. If $\displaystyle {{x}\over{6}}+1={{7}\over{4}}$, then x = ?

    $\displaystyle x={{33}\over{2}}$

    $\displaystyle x=-{{9}\over{2}}$

    $\displaystyle x={{9}\over{2}}$

    $\displaystyle x=-{{18}\over{7}}$

    $\displaystyle x=-{{33}\over{2}}$

  3. $\displaystyle {{a}\over{3\,b}}$    - ${{a}\over{10\,b}}$ = ?

    $\displaystyle {{13\,a}\over{30\,b}}$

    $\displaystyle -{{7\,b}\over{a}}$

    $\displaystyle {{7\,a}\over{30\,b}}$

    $\displaystyle -{{a}\over{30\,b^2}}$

    $\displaystyle -{{a}\over{7\,b}}$

  4. If a rectangle has vertices (1, 0), (−1, 0), (1, −2), and (−1, −2), then the length of a diagonal is

    $\displaystyle 2^{{{3}\over{2}}}$

    4

    2

    2

    8

  5. If $\displaystyle x={{1}\over{3}}$ then $\displaystyle x-{{3}\over{x}}+4$ = ?

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

    $\displaystyle -{{14}\over{3}}$

    $\displaystyle -{{38}\over{3}}$

    $\displaystyle {{41}\over{3}}$

    $\displaystyle {{40}\over{3}}$

  6. The slope of the line 9y − 8x − 1 = 0 is

    $\displaystyle {{8}\over{9}}$

    $\displaystyle -{{17}\over{9}}$

    $\displaystyle -{{8}\over{9}}$

    $\displaystyle {{9}\over{8}}$

    $\displaystyle -{{9}\over{8}}$


Department of Mathematics
Last modified: 2025-03-31