UND MATHEMATICS TRACK MEET Individual Test 2

University of North Dakota Grades 9/10
January 12, 2026
School Team Name
Calculators are NOT allowed. Key Student Name

• 1.

  What is the sum of the roots of the equation $-3x+1=2x^2+5x+7$?

    (2 pts) 1. $-4$

• 2.

  If and , then . What is $a+b$?

    (3 pts) 2. $-3$

• 3.

  Solve ${\displaystyle \frac{2}{|x-1|}}>{\displaystyle \frac{1}{3}}$

    (3 pts) 3.

• 4.

  Find an equation for the set of all points $(x,y)$ that are equidistant from $(0,0)$ and $(3,1)$.

    (3 pts) 4. $$\begin{array}{c}6x+2y=10\hfill \\ \hfill \text{or}\mathrm{\hspace{0.17em}\hspace{0.17em}3}x+y=5\end{array}$$

• 5.

  For which value of $k$ is $x^3+2x^2+3kx+1$ divisible by $x-1$?

    (3 pts) 5. $-4/3$

• 6.

  If , then $\left|3-|x+1|\right|$ is
  (a) $x+1$  (b) $x+4$  (c) $-x-1$  (d) $-x-4$  (e) None of the above
  

    (3 pts) 6. (d)

• 7.

  A sequence is defined by $a_1=1,a_2=\sqrt{3},a_3=\sqrt{3\sqrt{3}},\mathrm{\cdots },a_n=\sqrt{3a_{n-1}}$. This sequence converges to $L$. What is $L$?

    (3 pts) 7. $3$