Timed Mini Exam 27 — Timed Mini Exams

Questions in this quiz (10)

1. In the equation $$x^2+mx+n=0$$, $$m$$ and $$n$$ are integers. The only possible value for $$x$$ is $$-3$$. What is the value of $$n$$?

   • 3
   • 9
   • 6
   • -3

2. The Moondance Riding Academy held its annual horse show for 3 days. The total amount collected in entry fees for the 3 days was 1450 dollars. The amount collected, in dollars, is shown for each of the 3 days in the bar graph below. The mean amount collected per day during the 3-day period is what, to the nearest dollar?

   • 450
   • 580
   • 475
   • 483

3. A system of linear equations is shown below.$$4y - 2x = 8$$$$4y + 2x = 8$$Which of the following describes the graph of this system of linear equations in the standard (x,y) coordinate plane?

   • Two distinct intersecting lines.
   • Two parallel lines with negative slope.
   • Two parallel lines with positive slope.
   • Two perpendicular lines.

4. The figure below shows 2 tangent circles such that the 9-inch diameter of the smaller circle is equal to the radius of the larger circle. What is the approximate area, in square inches, of the shaded region?

   • 190.74
   • 65.5
   • 250.47
   • 55.65

5. Which of the following equations expresses z in terms of x for all real numbers x, y, and z, such that $$x^5 = y$$ and $$y^3 = z$$?

   • $$3x^{5}$$
   • $$x$$
   • $$x^{15}$$
   • $$x^{8}$$

6. What is the area of the trapezoid shown below?

   • 30
   • 26
   • 24
   • 36

7. If x:y=5:2 and y:z=3:2, what is the ratio of x:z?

   • $$5:4$$
   • $$15:4$$
   • $$5:3$$
   • $$3:5$$

8. Which of the following is the solution statement for the inequality shown below?$$-5$$ <1-3x< $$10$$

   • $$-5$$ <x< $$3$$
   • $$-2$$ <x< $$5$$
   • $$-3$$ <x< $$2$$
   • $$x3$$

9. At which $$y$$ values does the circle defined by the equation $$(x+2)^2+(y-3)^2=37$$ intersect the $$y$$-axis when drawn in the $$xy$$-coordinate plane?

   • $$-2+2\sqrt{7}\ \text{and}\ -2-\sqrt{7}$$
   • $$3+\sqrt{33}\ \text{and}\ 3-\sqrt{33}$$
   • $$\sqrt{7}\ \text{and}\ -\sqrt{7}$$
   • $$-8\sqrt{2}\ \text{and}\ 8\sqrt{2}$$

10. If $$f(x,y)=2x+y^2$$ and $$f(5,2)=f(p,-2)$$, what is the value of $$p$$?

    • -5
    • 0
    • 4
    • 5