Mini Exam 22 — Timed Mini Exams

Questions in this quiz (10)

1. $$y=x^2-8x+16$$$$y=kx-4$$Consider the system of equations, which of the following is a possible value of $$k$$ such that the system of equations above has exactly one solution?

   • $$-8-4\sqrt{5}$$
   • $$-8+4\sqrt{5}$$
   • $$-8+2\sqrt{5}$$
   • $$-8-2\sqrt{5}$$

2. A right cylindrical tank with an internal radius of $$5$$ inches is partially filled with water. When a solid metal sphere is completely submerged in the tank, the water level rises by $$3$$ inches. If the sphere is removed and a solid metal cube is completely submerged instead, the water level rises by $$4$$ inches. What is the approximate edge length of the cube, to the nearest tenth of an inch?

   • $$6.3$$
   • $$6.8$$
   • $$7.3$$
   • $$7.9$$

3. A gym membership charges a flat fee for the first $$20$$ classes attended, and an additional 4 dollars per class for every class attended beyond $$20$$. If a customer attended $$35$$ classes and paid 110 dollars, which function $$C(n)$$ represents the total cost, in dollars, for $$n$$ > $$20$$ classes?

   • $$C(n)=4n+10$$
   • $$C(n)=4n+30$$
   • $$C(n)=4n+50$$
   • $$C(n)=4n+70$$

4. The table shows the specifications for two conveyor belts, Belt A and Belt B.Based on the information in the table, if both belts operate simultaneously, how many minutes will it take them to move $$900$$ boxes?

   • $$10$$
   • $$12$$
   • $$15$$
   • $$18$$

5. Line $$PQ$$ is parallel to line $$RS$$. A transversal line $$TU$$ intersects line $$PQ$$ at point $$V$$ and line $$RS$$ at point $$W$$. Point $$X$$ lies on line $$RS$$ such that $$\triangle WVX$$ is formed. The measure of angle $$UVQ$$ is $$125^\circ$$, and the measure of angle $$VXW$$ is $$40^\circ$$. What is the measure of angle $$\angle WVX$$, in degrees?

   • $$25$$
   • $$35$$
   • $$55$$
   • $$65$$

6. The function $$g$$ is defined by $$g(x)=x^2-8x+12$$. What is the minimum value of $$g(x)$$?

   • $$-5$$
   • $$-4$$
   • $$-3$$
   • $$4$$

7. A machine produces $$30$$ components every $$6$$ minutes. At this rate, how many components can the machine produce in $$4$$ hours?

   • $$600$$
   • $$900$$
   • $$1000$$
   • $$1200$$

8. A circle has a radius of $$8$$ units. An arc on the circle has a length of $$8\pi$$ units. What is the measure of the central angle, in degrees, that subtends this arc?

   • $$90^\circ$$
   • $$120^\circ$$
   • $$180^\circ$$
   • $$240^\circ$$

9. The measures of the three interior angles of a triangle are in the ratio $$1:2:3$$. What is the measure of the largest angle in the triangle?

   • $$60^\circ$$
   • $$75^\circ$$
   • $$90^\circ$$
   • $$120^\circ$$

10. The graph shows the height $$h$$, in meters, of a projectile $$t$$ seconds after it is launched from the ground. Based on the graph, what is the height of the projectile $$2$$ seconds after it is launched?

    • $$12$$ meters
    • $$16$$ meters
    • $$22$$ meters
    • $$24$$ meters