Mini Exam 53 — Timed Mini Exams

Questions in this quiz (10)

1. If the equation $$\frac34(8x-3)=a(5x-4)$$ has no solution and $$a$$ is constant, what is the value of $$a$$?

   • $$2$$
   • $$-2$$
   • $$\frac65$$
   • $$-\frac65$$

2. The table shows values of the linear function $$f$$ for selected $$x$$.What is the value of $$b$$?

   • $$-1$$
   • $$1$$
   • $$13$$
   • $$-13$$

3. $$y^2=-x+3$$$$y=-|x|$$A system of two equations is shown. How many solutions does the system have?

   • Zero
   • One
   • Two
   • Three

4. $$y$$ < $$-4x+2$$$$y\ge2$$Which quadrant contains solutions to the system?

   • I
   • II
   • III
   • IV

5. According to the graph of the quadratic function, determine the signs of $$a$$, $$b$$, and $$c$$ for the function $$y=ax^2+bx+c$$.

   • $$a$$ < $$0$$, $$b$$ < $$0$$, $$c$$ < $$0$$
   • $$a$$ > $$0$$, $$b$$ < $$0$$, $$c$$ > $$0$$
   • $$a$$ < $$0$$, $$b$$ > $$0$$, $$c$$ > $$0$$
   • $$a<0$$, $$b<0$$, $$c>0$$

6. The graph of $$f(x)$$ is shown. Which of the following is the graph of $$f(x)+1$$?

7. Which of the following is the equation of the graph?

   • $$\frac13x(x-2)(x+3)$$
   • $$-\frac13x(x-2)^2(x+3)$$
   • $$\frac13x(x-2)(x+3)^2$$
   • $$\frac13x(x-2)^2(x+3)$$

8. Given $$P=\frac{\frac{m}{1000}\left(a+\frac{bc}{1000}\right)^T}{\frac{p^2-q}{rt}-1}P_0,$$ which of the following gives $$P_0$$ in terms of $$a,b,c,m,p,q,r,t,T,$$ and $$P$$?

   • $$\frac{\frac{m}{1000}\left(a+\frac{bc}{1000}\right)^T}{\frac{p^2-q}{rt}-1}P$$
   • $$\frac{\frac{p^2-q}{rt}-1}{\frac{m}{1000}\left(a+\frac{bc}{1000}\right)^T}P$$
   • $$\frac{m(a+bc)^T}{p^2-q-rt}P$$
   • $$\frac{ma^T}{\frac{p^2-q}{rt}}P$$

9. Bruce wants to draw a blueprint of his house where $$1$$ centimeter on the blueprint equals $$3$$ meters in reality. The length of one room is $$3.5$$ centimeters. Bruce wants to make a second plan where $$1$$ centimeter equals $$6$$ meters. How will the length of the room in the new blueprint compare to the length in the first drawing?

   • The length of the room in the second plan is $$3$$ centimeters longer than the first plan.
   • The length of the room in the second plan is $$2$$ times longer than the first plan.
   • The length of the room in the second plan is $$2$$ times shorter than the first plan.
   • The length of the room in the second plan is $$3$$ centimeters shorter than the first plan.

10. A bank charges a $$4\%$$ fee to exchange one country's currency to another country's currency. When a customer receives cash, the fee is already taken out from the transaction cost. Mike exchanges $$\$60$$ and receives $$103.68$$ rands. What is the exchange rate of South African rands per $$\$1$$?

    • 1.8