Mini Exam 37 — Timed Mini Exams

Questions in this quiz (10)

1. A circle has center $$G$$, and points $$M$$ and $$N$$ lie on the circle. Line segments $$MH$$ and $$NH$$ are tangent to the circle at points $$M$$ and $$N$$, respectively. If the radius of the circle is $$150$$ millimeters and the perimeter of quadrilateral $$GMHN$$ is $$3,500$$ millimeters, what is the distance, rounded to the nearest millimeter, between points $$G$$ and $$H$$?

   • $$150$$
   • $$1,600$$
   • $$1,607$$
   • $$1,617$$

2. $$2x-5y=5y+1$$$$hy=3+2x$$In the given system of equations, $$h$$ is a constant. If the system has no solution, what is the value of $$h$$?

   • $$2$$
   • $$5$$
   • $$10$$
   • $$15$$

3. $$y$$ < $$-3x+5$$$$y$$ > $$2x-1$$Given the system of inequalities, which of the following tables contains only values of $$x$$ and their corresponding $$y$$ values that satisfy both inequalities?

4. The table shows three values of $$x$$ and their corresponding values of $$h(x)$$, where $$h(x)=\frac{f(x)}{x+5}$$ and $$f$$ is a linear function. What is the $$y$$-intercept of the graph of $$y=f(x)$$ in the $$xy$$-plane?

   • $$(0,-270)$$
   • $$(0,-290)$$
   • $$(0,-295)$$
   • $$(0,-300)$$

5. The function $$f$$ is a quadratic function. In the $$xy$$-plane, the graph of $$y=f(x)$$ has a vertex at $$(2,4)$$ and passes through the points $$(4,16)$$ and $$(0,20)$$. What is the value of $$f(-1)-f(3)$$?

   • 24

6. $$f(x)=(x-a)(x-b)$$The function $$f$$ is defined by the given equation, where $$a$$ and $$b$$ are integer constants. If $$f(13)$$ > $$0$$, $$f(16)$$ < $$0$$, and $$f(19)$$ > $$0$$, what is one possible value of $$a+b$$?

   • 32

7. Line $$k$$ is defined by $$y=6x+1.$$ Line $$j$$ is perpendicular to line $$k$$ in the $$xy$$-plane. What is the slope of line $$j$$?

   • $$-6$$
   • $$-\frac16$$
   • $$\frac16$$
   • $$6$$

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

   • $$-3.3$$
   • $$-1.1$$
   • $$1.1$$
   • $$3.3$$

9. A bird-watching group initially observed $$200$$ birds in a certain area and set a goal of reaching $$800$$ birds. According to their model, the population starts at $$200$$ and increases by $$30$$ birds per week for the first two weeks after the observation. After those two weeks, the population increases by $$50$$ birds per week until the goal of $$800$$ birds is reached. At the end of week $$w$$, where $$w>2$$, after the initial observation, let $$p(w)$$ be the predicted number of birds still needed to reach the $$800$$-bird goal. Which of the following functions correctly represents $$p(w)$$?

   • $$p(w)=800-50w$$
   • $$p(w)=750+50w$$
   • $$p(w)=640-50w$$
   • $$p(w)=260+50w$$

10. The graph of $$y=f(x)-11$$ is shown. Which equation defines the linear function $$f$$?

    • $$f(x)=-13x-11$$
    • $$f(x)=-2x+7$$
    • $$f(x)=-13x+7$$
    • $$f(x)=-2x-11$$