Timed Mini Exam 26 — Timed Mini Exams

Questions in this quiz (10)

1. Nadia had $$\$125$$. She spent $$\frac{2}{5}$$ of the money and later deposited $$\$38.50$$ into her account. How much money did she have after the deposit?

   • $$\$88.50$$
   • $$\$100.00$$
   • $$\$113.50$$
   • $$\$138.50$$

2. A new computer can complete $$4.6\times10^9$$ calculations per second. An older computer can complete $$7.5\times10^8$$ calculations per second. How many more calculations per second can the new computer complete?

   • $$3.85\times10^8$$
   • $$3.85\times10^9$$
   • $$4.525\times10^9$$
   • $$5.35\times10^9$$

3. A cyclist travels at a constant rate of $$12$$ miles per hour. How many feet will the cyclist travel in $$25$$ minutes?

   • $$13{,}200$$ feet
   • $$22{,}000$$ feet
   • $$26{,}400$$ feet
   • $$31{,}680$$ feet

4. Solve the equation for $$x$$:$$5(2x-3)=4x+27$$

   • $$5$$
   • $$6$$
   • $$7$$
   • $$9$$

5. Line $$P$$ crosses the $$x$$-axis at $$(-6,0)$$. Line $$Q$$ is represented by $$y=2x-8$$. Which statement correctly compares the $$x$$-intercepts of the two lines?

   • The $$x$$-intercept of line $$P$$ is closer to the origin.
   • The $$x$$-coordinate of the intercept of line $$P$$ is smaller than that of line $$Q$$.
   • Both $$x$$-intercepts are positive.
   • The two lines have the same $$x$$-intercept.

6. Which expression is the complete factorization of $$y^4-81$$?

   • $$(y^2-9)^2$$
   • $$(y-9)(y+9)$$
   • $$(y-3)(y+3)(y^2+9)$$
   • $$(y-3)^2(y+3)^2$$

7. The table shows the number of text messages sent during one day by seven people of different ages.What is the median number of text messages sent?

   • $$48$$
   • $$72$$
   • $$78$$
   • $$94$$

8. Sphere $$A$$ has a diameter of $$6$$ centimeters. The radius of sphere $$B$$ is twice the radius of sphere $$A$$. What is the volume of sphere $$B$$ in terms of $$\pi$$?

   • $$36\pi$$ cubic centimeters
   • $$72\pi$$ cubic centimeters
   • $$216\pi$$ cubic centimeters
   • $$288\pi$$ cubic centimeters

9. Two standard decks of $$52$$ playing cards are combined. One card is selected at random. What is the probability that the selected card is a heart or an ace?

   • $$\frac{1}{4}$$
   • $$\frac{4}{13}$$
   • $$\frac{17}{52}$$
   • $$\frac{9}{26}$$

10. A game transforms a number using the following procedure: square the original number, subtract $$4$$, and multiply the result by $$3$$. If the original number is represented by $$x$$, which expression represents the transformed number?

    • $$3x^2-4$$
    • $$(3x)^2-4$$
    • $$3(x^2-4)$$
    • $$(3x-4)^2$$