Mini Exam 21 — Timed Mini Exams

Questions in this quiz (10)

1. A bacteria population grows according to $$P(t)=120(1.05)^{2t}$$. Which expression shows the equivalent growth rate per single unit of $$t$$?

   • $$120(1.10)^t$$
   • $$120(1.05)^t$$
   • $$120(1.1025)^t$$
   • $$120(1.025)^t$$

2. A system of equations is shown:$$3x+2y=14$$$$x=2y-4$$What is the value of $$x-y?$$

   • $$\frac{13}{4}$$
   • $$\frac{5}{2}$$
   • $$\frac{23}{4}$$
   • $$-\frac{3}{4}$$

3. A ball is launched upward with height $$h(t)=-4.9t^2+18t+2$$. How many seconds after it is thrown does it hit the ground? Assume $$h(t)=0$$ at ground level.

   • $$4.6$$
   • $$4.1$$
   • $$3.9$$
   • $$0.11$$

4. What is the sum of all solutions to $$|3x-5|=7?$$

   • $$\frac{5}{3}$$
   • $$\frac{10}{3}$$
   • $$\frac{17}{3}$$
   • $$3$$

5. The function $$g(x)=f(x+3)-4$$ is defined. Which transformation does $$g(x)$$ represent relative to $$f(x)$$?

   • Right $$3$$, up $$4$$
   • Left $$3$$, down $$4$$
   • Left $$3$$, up $$4$$
   • Right $$3$$, down $$4$$

6. A set of $$7$$ numbers has a median of $$10$$ and a mean of $$13$$. If the largest number increases by $$14$$, what happens?

   • Mean increases by $$2$$, median unchanged
   • Mean increases by $$14$$, median increases by $$2$$
   • Mean increases by $$2$$, median increases by $$2$$
   • Mean increases by $$14$$, median unchanged

7. A sequence has terms $$a_1=3,$$ $$a_2=9,$$ $$a_3=27.$$ Which function best describes the $$n$$-th term?

   • $$a_n=6n-3$$
   • $$a_n=3n^2$$
   • $$a_n=2(3^n)$$
   • $$a_n=3^n$$

8. A taxi company charges a flat fee plus a constant rate per mile. Two trips are recorded:3 miles cost 11 dollars7 miles cost 19 dollarsWhat is the flat fee?

   • $$5$$
   • $$6$$
   • $$11$$
   • $$2$$

9. If $$f(x)=\frac{3x-2}{5}$$ what is $$f^{-1}(13)$$?

   • $$21$$
   • $$65$$
   • $$\frac{67}{3}$$
   • $$5$$

10. Which of the following represents the solution to $$-3(2x-5)\ge21$$?

    • $$x\le1$$
    • $$x$$>-1$$
    • $$x\le-1$$
    • $$x\ge1$$