UND MATHEMATICS TRACK MEET Individual Test 2

University of North Dakota Grades 7/8
January 12, 2026
School Team Name
Calculators are NOT allowed. Key Student Name

• 1.

  Simplify the expression

  $${\left(\frac{2}{3}\right)}^2-{\left(-\frac{3}{5}\right)}^2÷\frac{27}{25}$$

    (2 pts) 1. $1/9$

• 2.

  Simplify the expression

  $$\sqrt{24}-7\sqrt{54}+6\sqrt{6}$$

    (3 pts) 2. $-13\sqrt{6}$

• 3.

  Factor completely over reals

  $$16x^5-81x$$

    (3 pts) 3. $$\begin{array}{c}x(4x^2+9)\hfill \\ \hfill (2x+3)(2x-3)\end{array}$$

• 4.

  Solve for $x$ and write your answer in set notation, i.e. $\{\}$.

  $$x-4x^{1/2}=0$$

    (3 pts) 4. $\{0,16\}$

• 5.

  Solve the inequality .

    (3 pts) 5. $(\frac{1}{2},2]$ or

• 6.

  A die is tossed. What is the probability of tossing a 2 or a 5?

    (3 pts) 6. ${\displaystyle \frac{1}{3}}$

• 7.

  In 1990, Mary had a rectangular garden that measured a width of $W$ ft and length of 20 ft. In the year 2000, she added 2 ft to the width of her flower garden. In 2010, she added another 3 ft to the width of her garden. What is the change in area from 1990 to 2010?

    (3 pts) 7. $100$ sq.ft