Mini Exam 7 — Timed Mini Exams

Questions in this quiz (10)

1. If $$7^{3k}=\sqrt[3]{7^{12}}$$, what is the value of $$k$$?

   • $$\frac{1}{4}$$
   • $$\frac{1}{3}$$
   • $$\frac{4}{3}$$
   • $$\frac{2}{3}$$

2. If $$\frac{1}{x^2-10x+25}=9$$ and $$x$$ is a solution to the given equation, which of the following is a possible value of $$x-5$$?

   • $$\frac{1}{9}$$
   • $$\frac{1}{3}$$
   • $$3$$
   • $$9$$

3. How many quarts are equivalent to $$864$$ fluid ounces? $$1$$ quart $$=$$ $$32$$ ounces.

   • $$27,648$$
   • $$27$$
   • $$832$$
   • $$0.037$$

4. The equation $$x^2+y^2+6x-10y-3=0$$ defines a circle in the $$xy$$-plane. What is the diameter of the circle?

   • $$\sqrt{37}$$
   • $$2\sqrt{37}$$
   • $$6$$
   • $$12$$

5. At how many points do the graphs of the equations $$y=2x-3$$ and $$4x-2y=10$$ intersect in the $$xy$$-plane?

   • $$0$$
   • $$1$$
   • $$2$$
   • $$3$$

6. $$x\gt2y+1$$$$2y\gt8$$Which of the following consists of the $$x$$-coordinates of all points that satisfy the system of inequalities below?

   • $$x\gt9$$
   • $$x\gt5$$
   • $$x\gt\frac{9}{2}$$
   • $$x\lt5$$

7. A student took five practice tests, one each day from Monday to Friday. Each test had a maximum score of $$10$$ points. The bar graph shows the student’s score for each test. What is the mean score for the five tests?

   • $$6$$
   • $$6.6$$
   • $$7$$
   • $$7.4$$

8. A bakery produces identical cupcakes. The table shows the total cost $$C(n)$$, in dollars, to produce $$n$$ cupcakes.Which of the following equations could define $$C$$?

   • $$C(n)=1.5n$$
   • $$C(n)=2.5n$$
   • $$C(n)=200n$$
   • $$C(n)=0.4n$$

9. In right triangle $$ABC$$, the measure of angle $$C$$ is $$90$$ degrees. If $$sin(A)=\frac{3}{8}$$, what is the value of $$cos(B)$$?

   • $$\frac{1}{4}$$
   • $$\frac{3}{4}$$
   • $$\frac{2}{3}$$
   • $$\frac{3}{8}$$

10. In the triangle above, $$b=35^\circ$$. What is the value of $$a$$?

    • $$105^\circ$$
    • $$40^\circ$$
    • $$52.5^\circ$$
    • $$35^\circ$$