Timed Mini Exam 17 — Timed Mini Exams

Questions in this quiz (10)

1. Which of the following is the vertex of the parabola which is the graph of the equation $$y=(x-3)^2+5$$?

   • $$(-3,5)$$
   • $$(3,-5)$$
   • $$(3,5)$$
   • $$(-3,-5)$$

2. Two coins are tossed one after another. What is the probability that at most one head will turn up?

   • 0.4
   • 0.5
   • 0.75
   • 0.8

3. The pie chart above shows the percentage distribution of the scores on a biology quiz over 20. What could the median score be?

   • 10
   • 12
   • 17
   • 5

4. If $$\cos(\theta)=y$$ and $$\csc(\theta)=x$$, then what is $$\tan(\theta)$$?

   • $$\frac{y}{x}$$
   • $$\frac{x}{y}$$
   • $$\frac{1}{x y}$$
   • $$\frac{1}{x}$$

5. Which equation does not represent a line of symmetry for the circle with equation $$x^2+y^2=10^{49}$$?

   • $$y=0$$
   • $$y=-x$$
   • $$y=10x$$
   • $$y=-100x$$

6. The solution of the system defined by$$x^2 - x - 2 \ge 0$$ $$\frac{x - 3}{x + 2} \le 0$$

   • $$(-2,3]$$
   • $$[2,\infty)$$
   • $$[-1,\infty)$$
   • $$[-2,-1] \cup [2,3]$$

7. In the figure above, Mazen (who is at point M) wants to join his sister Reem (who is at point R). To do that, he has to pass the park through point C. The park is represented by the rectangle ABDR. What is the distance MR that Mazen needs to travel?

   • $$90\sqrt{2}$$
   • $$20\sqrt{13}+50$$
   • $$20\sqrt{10}$$
   • $$30\sqrt{13}$$

8. Which value of $$x$$ would not make the equation $$\frac{1}{x^2 - 4} = \frac{-3x}{1 - x^2}$$ undefined?

   • -2
   • 2
   • 1
   • 0

9. The chart shows the enrollment in each science class at Westview High School:The school owns 2 lab kits, each containing 35 components, and each student is required to use 1 component during class. However, 3 components from one kit and 4 components from the other are unavailable due to damage. If only one science class is held per period, is there any period in which there are not enough components for each student to have one?

   • Period 1
   • Period 2
   • Period 3
   • There is no period in which there are not enough components

10. Which of the following systems of inequalities is represented by the shaded region of the graph below?

    • $$y\geq-2x$$ and $$x\leq3$$
    • $$y\geq-2x$$ and $$x\geq3$$
    • $$y\leq-2x$$ or $$x\geq3$$
    • $$y\leq-2x$$ and $$x\geq3$$