Mini Exam 34 — Timed Mini Exams

Questions in this quiz (10)

1. If $$2^{x+1}=16$$, what is the value of $$x$$?

   • $$2$$
   • $$3$$
   • $$4$$
   • $$5$$

2. $$y=\frac{x}{4}+3$$$$y=-\frac{x}{4}+46$$The solution to the given system of equations is $$(x,y)$$. What is the value of $$2y$$?

   • 49

3. The function $$g$$ is defined by $$g(x)=8x-200$$. If the point $$(r,2r)$$ lies on the graph of $$y=g(x)$$, where $$r$$ is a constant, what is the value of $$r$$?

   • $$30$$
   • $$32$$
   • $$\frac{100}{3}$$
   • $$36$$

4. A circuit has $$10$$ resistors connected in series with a total resistance of $$200$$ ohms. The total resistance of $$4$$ of these resistors is $$80$$ ohms. Which inequality best represents all possible values of the resistance $$x$$, in ohms, of one of the other $$6$$ resistors?

   • $$0$$ < $$x$$ < $$10$$
   • $$0$$ < $$x$$ < $$120$$
   • $$120$$ < $$x$$ < $$200$$
   • $$80$$ < $$x$$ < $$200$$

5. Consider the linear equation $$\frac{2}{3}x+\frac{1}{2}y=6.$$ Which of the following tables lists three ordered pairs $$(x,y)$$ that all satisfy this equation?

6. In the $$xy$$-plane, line $$s$$ passes through the point $$(0,0)$$ and is parallel to the line represented by the equation $$y=50x-4.$$ If line $$s$$ also passes through the point $$(5,d)$$, what is the value of $$d$$?

   • 250

7. A driving school charges $$15$$ dollars for the first lesson a student takes in a month and $$9$$ dollars for each additional lesson that month. Which equation describes this situation, where $$y$$ is the total cost, in dollars, of $$x$$ lessons for one month, and $$x$$ > $$0$$?

   • $$y=x+15$$
   • $$y=9x+15$$
   • $$y=9(x-1)+15$$
   • $$y=(x-1)+15$$

8. The expression $$-7(5x-2)^2+3(5x-1)^2$$ can be rewritten in the form $$\frac{r}{4}x^2+\frac{s}{4}x+\frac{t}{4},$$ where $$r$$, $$s$$, and $$t$$ are constants. What is $$r+s+t$$?

   • $$-80$$
   • $$-60$$
   • $$-40$$
   • $$-20$$

9. The equation $$y=(x-h)^2(x+h)(x+k)$$ is graphed in the $$xy$$-plane. If $$h$$ and $$k$$ are positive constants and $$h\ne k$$, how many distinct $$x$$-intercepts does the graph have?

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

10. A sphere has a radius of $$0.5$$ meters. What is the volume, in cubic meters, of the sphere?

    • $$\frac{\pi}{6}$$
    • $$\frac{\pi}{4}$$
    • $$\frac{\pi}{3}$$
    • $$\frac{2\pi}{3}$$