Timed Mini Exam 10 — Timed Mini Exams

Questions in this quiz (10)

1. The area of a square is $$64$$ square units. How many units long is the diagonal of the square?

   • $$8$$
   • $$8\sqrt{2}$$
   • $$10$$
   • $$16$$

2. What is the equation of the circle in the standard $$(x,y)$$ coordinate plane that has a radius of $$5$$ units and the same center as the circle determined by $$(x-4)^2+y^2-8=0$$

   • $$(x-4)^2+y^2=5$$
   • $$(x+4)^2+y^2=25$$
   • $$(x-4)^2+y^2=25$$
   • $$x^2+(y-4)^2=25$$

3. If $$2^{5x+1}=32^{x-3}$$, what is the value of $$x$$?

   • $$-13$$
   • $$-2$$
   • $$-1$$
   • No solution

4. A cow drinks $$15$$ buckets of water in $$5$$ days. At this rate, how many buckets of water does the cow drink in $$5+x$$ days?

   • $$15+\frac{15x}{5}$$
   • $$15+\frac{x}{5}$$
   • $$\frac{15}{5}+\frac{15x}{5}$$
   • $$\frac{15}{5}+\frac{x}{5}$$

5. When graphed in the standard $$(x,y)$$ coordinate plane the lines $$x=4$$ and $$y=2x+3$$ intersect at what point?

   • $$(4,11)$$
   • $$(4,-11)$$
   • $$(3,4)$$
   • $$(11,4)$$

6. The poster shown below has a uniform frame-width of $$\frac{3}{4}$$ inches. What is the approximate area, in square inches, of the visible portion of the poster?

   • $$326.25$$
   • $$354.56$$
   • $$336.75$$
   • $$352.75$$

7. Which of the following expresses the number of miles a cyclist must travel in a 3-lap race where the course is a circle of radius r miles?

   • $$3r$$
   • $$3\pi r$$
   • $$3\pi r^2$$
   • $$6\pi r$$

8. A plumber charges 60 dollars per hour plus an additional mileage fee that varies directly with the square root of the number of miles traveled. If one hour plus 16 miles traveled costs 140 dollars, what is the total amount charged for one hour plus 25 miles traveled?

   • $$160$$
   • $$220$$
   • $$210$$
   • $$230$$

9. A quadrilateral $$PQRS$$ is reflected across the x-axis to have the image $$P'Q'R'S'$$ in the standard $$(x,y)$$ coordinate plane. The coordinates of point $$P$$ are $$(a,b)$$. What are the coordinates of point $$P'$$?

   • $$(-a,-b)$$
   • $$(-a,b)$$
   • $$(a,-b)$$
   • $$(a,b)$$

10. Which of the following inequalities orders the numbers 0.15 0.08 and 1/5 from least to greatest?

    • $$0.15$$ < $$0.08$$ < $$\frac{1}{5}$$
    • $$0.08$$ < $$0.15$$ < $$\frac{1}{5}$$
    • $$0.08$$ < $$\frac{1}{5}$$ < $$0.15$$
    • $$\frac{1}{5}$$ < $$0.08$$ < $$0.15$$