Mini Exam 10 — Timed Mini Exams

Questions in this quiz (10)

1. The scatterplot shows the relationship between $$x$$ and $$y$$. A line of best fit is also shown. Which of the following is closest to the slope of the line of best fit?

   • $$0.15$$
   • $$0.30$$
   • $$0.75$$
   • $$1.50$$

2. Based on a random sample from a population, a researcher estimated that the mean value of a certain variable for the population is $$48$$, with a margin of error of $$3$$. Which conclusion is most appropriate?

   • It is plausible that the actual mean value is between $$45$$ and $$51$$.
   • It is not possible for the mean to be less than $$45$$ or greater than $$51$$.
   • Every value in the population is between $$45$$ and $$51$$.
   • The mean value for the population is exactly $$48$$.

3. A number $$p$$ is at most $$12$$ less than $$4$$ times the value of $$q$$. If the value of $$q$$ is $$7$$, what is the greatest possible value of $$p$$?

   • $$16$$
   • $$28$$
   • $$40$$
   • $$44$$

4. One of the two equations in a system of linear equations is: $$18x-27y=54$$The system has infinitely many solutions. Which of the following could be the second equation?

   • $$6x-9y=15$$
   • $$6x-9y=18$$
   • $$-12x+18y=-30$$
   • $$-12x+18y=-36$$

5. The function $$g(x)=(x-5)^2+12$$ is defined by the given equation. For what value of $$x$$ does $$g(x)$$ reach its minimum?

   • $$-5$$
   • $$0$$
   • $$5$$
   • $$12$$

6. The graph of a system of three equations are shown above.$$x^2+y^2=5$$$$y=x^2-3$$$$x-y=1$$How many solutions does the system have?

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

7. The graph of $$y=(x-6)(x-2)$$ is a parabola in the $$xy$$-plane. In which of the following equivalent expressions do the $$x$$ and $$y$$ coordinates of the vertex of the parabola appear as constants or coefficients?

   • $$y=x^2-8x+12$$
   • $$y=(x-4)^2-4$$
   • $$y=x(x-8)+12$$
   • $$y=(x-2)(x-6)$$

8. $$x^2+y^2+4x-10y=84$$The equation of a circle in the $$xy$$-plane is shown above. What is the diameter of the circle?

   • $$84$$
   • $$2\sqrt{21}$$
   • $$\sqrt{113}$$
   • $$2\sqrt{113}$$

9. If $$\frac{1}{4x}+\frac{1}{5y}=6$$, what is the value of $$20x+16y$$?

   • $$120$$
   • $$240$$
   • $$320$$
   • $$480$$

10. If the expression $$\frac{6x^2}{3x-2}$$ is written in the equivalent form $$\frac{2}{3x-2}+B,$$ What is $$B$$ in terms of $$x$$?

    • $$6x^2$$
    • $$2x-1$$
    • $$2x+1$$
    • $$-6x^2$$