Timed Mini Exam 13 — Timed Mini Exams

Questions in this quiz (10)

1. A decorative window consists of a rectangle with a semicircle attached along its top edge. The rectangle is $$10$$ feet wide and $$4$$ feet high. The diameter of the semicircle is equal to the width of the rectangle. What is the total area of the window in terms of $$\pi$$?

   • $$40+25\pi$$ square feet
   • $$40+\frac{25}{2}\pi$$ square feet
   • $$20+25\pi$$ square feet
   • $$40+5\pi$$ square feet

2. What is the value of the following expression when $$a=-3$$ and $$b=4$$?$$5a-2b$$

   • $$-23$$
   • $$-7$$
   • $$7$$
   • $$23$$

3. Which expression is equivalent to the following expression?$$-2x^2(x-3)-(3x^3-4x^2)$$

   • $$-5x^3+10x^2$$
   • $$-5x^3+2x^2$$
   • $$x^3+10x^2$$
   • $$-6x^3+10x^2$$

4. Which equation represents the line that passes through the points $$(-6,-1)$$ and $$(3,5)$$?

   • $$y=\frac{2}{3}x+3$$
   • $$y=\frac{3}{2}x+3$$
   • $$y=\frac{2}{3}x-3$$
   • $$y=-\frac{2}{3}x+3$$

5. A solid structure is assembled by stacking three identical cubes. Each cube has an edge length of $$3$$ centimeters. What is the total volume of the completed structure?

   • $$27$$ cubic centimeters
   • $$54$$ cubic centimeters
   • $$81$$ cubic centimeters
   • $$243$$ cubic centimeters

6. A technology specialist charges $$\$90$$ per hour for onsite support. The specialist also adds a service fee equal to $$4\%$$ of the cost of the billed hours. What is the total amount charged for $$15$$ hours of work?

   • $$\$1{,}350$$
   • $$\$1{,}386$$
   • $$\$1{,}404$$
   • $$\$1{,}440$$

7. Which expression is equivalent to the following expression?$$\frac{2}{3}x+\frac{5}{6}x-7$$

   • $$\frac{7}{9}x-7$$
   • $$\frac{3}{2}x-7$$
   • $$\frac{3}{2}x+7$$
   • $$\frac{7}{6}x-7$$

8. The ratio of full-time employees to part-time employees at a distribution center is $$5:4$$. The distribution center employs $$35$$ full-time workers. How many part-time workers are employed at the distribution center?

   • $$20$$ part-time workers
   • $$24$$ part-time workers
   • $$28$$ part-time workers
   • $$44$$ part-time workers

9. What is the value of the following expression when $$x=-2$$?$$\frac{x-7}{x^2+5}$$

   • $$-3$$
   • $$-1$$
   • $$1$$
   • $$\frac{5}{9}$$

10. The mean of the five numbers shown below is $$20$$:$$14,\ 18,\ 21,\ x,\ 27$$What is the value of $$x$$?

    • $$18$$
    • $$20$$
    • $$22$$
    • $$25$$