Mini Exam 9 — Timed Mini Exams

Questions in this quiz (10)

1. Line $$k$$ is defined by:$$2y-6=3x+4$$Line $$j$$ is parallel to $$k$$ and passes through $$(-2,5)$$. Which equation represents line $$j$$?

   • $$y=3x+11$$
   • $$y=3x-1$$
   • $$y=\frac{3}{2}x+8$$
   • $$y=\frac{3}{2}x+2$$

2. The shaded region represents the solutions of an inequality. Which ordered pair is a solution?

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

3. The data set is: $$5,7,7,9,12,14,18$$Which list has the same median?

   • $$4,7,7,9,11$$
   • $$7,7,9,12,14$$
   • $$5,9,10,12,18$$
   • $$7,9,12,12,14$$

4. $$y=x^2+10x+21$$$$x-6=4$$In the system of equation above, find the value of $$y$$.

   • $$10$$
   • $$100$$
   • $$21$$
   • $$221$$

5. $$y=-0.3x^2+4.2x+50$$The equation gives the estimated temperature $$y$$, in degrees Fahrenheit, of a chemical reaction $$x$$ minutes after it begins, where $$0 \le x \le 15$$. Which statement is the best interpretation of the point $$(2,54.6)$$ in this context?

   • Temperature increased by $$54.6^\circ$$ every $$2$$ minutes
   • Temperature increased by $$2^\circ$$ every $$54.6$$ minutes
   • After $$2$$ minutes the temperature is $$54.6^\circ$$
   • After $$54.6$$ minutes the temperature is $$2^\circ$$

6. The graph shows the velocity $$v$$, in meters per second, of an object $$t$$ seconds after it began moving. What is the average rate of change in the velocity of the object from $$t=3$$ to $$t=7$$, in meters per second per second?

   • $$1$$
   • $$2$$
   • $$3$$
   • $$4$$

7. A triangular prism has a height of $$12$$ centimeters and a volume of $$300$$ cubic centimeters. What is the area, in square centimeters, of the base of the prism?(The volume of a triangular prism is given by $$V=Bh$$ where $$B$$ is the area of the base and $$h$$ is the height.)

   • $$12$$
   • $$18$$
   • $$20$$
   • $$25$$

8. Quadrilateral $$A'B'C'D'$$ is similar to quadrilateral $$ABCD$$. Angles $$A,B,C,D$$ correspond to angles $$A',B',C',D'$$. The measure of angle $$A$$ is $$40^\circ$$, the measure of angle $$B$$ is $$160^\circ$$, and the measure of angle $$C$$ is $$80^\circ$$. Each side of $$A'B'C'D'$$ is $$4$$ times the length of each corresponding side of $$ABCD$$. What is the measure of angle $$D'$$?

   • $$20^\circ$$
   • $$40^\circ$$
   • $$60^\circ$$
   • $$80^\circ$$

9. $$64x^2-(16a+4b)x+ab=0$$In the given equation, $$a$$ and $$b$$ are positive constants. The sum of the solutions to the given equation is $$k(4a+b)$$, where $$k$$ is a constant. What is the value of $$k$$?

   • $$\frac{1}{16}$$
   • $$\frac{1}{2}$$
   • $$\frac{1}{3}$$
   • $$\frac{1}{6}$$

10. The functions $$p$$ and $$q$$ are defined by the given equations, where $$x\ge0$$. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where $$x\ge0$$?I. $$p(x)=50(0.3)^{x+1}$$II. $$q(x)=50(0.12)(0.3)^{x-4}$$

    • I only
    • II only
    • I and II
    • Neither I nor II