Mini Exam 8 — Timed Mini Exams

Questions in this quiz (5)

1. The graph of a system of linear equations is shown. What is the solution $$(x,y)$$ to the system?

   • $$(-4,1)$$
   • $$(0,4)$$
   • $$(-2,3)$$
   • $$(1,-2)$$

2. In the figure, lines $$m$$ and $$n$$ are parallel. What is the value of $$x$$?

   • $$26^\circ$$
   • $$64^\circ$$
   • $$84^\circ$$
   • $$116^\circ$$

3. $$ky-8x=12$$$$5y-4x=9$$In the system of linear equations below, $$k$$ is a constant. If the system has no solution, what is the value of $$3k-2$$?

   • $$10$$
   • $$14$$
   • $$28$$
   • $$40$$

4. A chemist needs to mix a $$60\%$$ sugar solution with a $$15\%$$ sugar solution to make $$12$$ liters of a $$35\%$$ sugar solution. How many liters of the $$60\%$$ sugar solution should be used?

   • $$\frac{16}{3}$$
   • $$16$$
   • $$6$$
   • $$12$$

5. A circle has center $$O$$, and points $$P$$ and $$Q$$ lie on the circle. Line segments $$PR$$ and $$QR$$ are tangent to the circle at points $$P$$ and $$Q$$ respectively. If the radius of the circle is $$840$$ millimeters and the perimeter of quadrilateral $$OPRQ$$ is $$3600$$ millimeters, what is the distance, in millimeters, between points $$O$$ and $$R$$?

   • $$840$$
   • $$120\sqrt{113}$$
   • $$1,140$$
   • $$1,260$$