Mini Exam 49 — Timed Mini Exams

Questions in this quiz (10)

1. A wholesale dealer subtracts two times the number of people who canceled the order, $$c$$, from the number of people who receive the order, $$r$$. He multiplies the result by the number of total orders, $$n$$, and then divides by the number of months, $$m$$. Which expression equals the wholesaler's final score of success?

   • $$\frac{(2c-r)n}{m}$$
   • $$\frac{(r-2c)n}{m}$$
   • $$\frac{(2c-r)m}{n}$$
   • $$\frac{r-2cm}{m}$$

2. In the equation $$bx-4(3+2x)=-12,$$ $$b$$ is a constant. For which value of $$b$$ does the equation have infinitely many solutions?

   • $$8$$
   • $$-8$$
   • $$-12$$
   • $$12$$

3. The lines $$y=nx+5$$ and $$y=mx+n$$ intersect at the point $$(2,13)$$. What is the value of $$2m-n$$?

   • 5

4. $$3m-2n+5=0$$ $$5(m+n)=6(m+1)$$Which ordered pair $$(m,n)$$ satisfies the system of equations?

   • $$(-1,3)$$
   • $$(-1,1)$$
   • $$(3,2)$$
   • $$(4,-7)$$

5. If $$-\frac13$$ < $$-3x+1$$ < $$-\frac14,$$ what is one possible value of $$x$$?

   • $$\frac{41}{100}$$
   • $$\frac{19}{50}$$
   • $$\frac{13}{30}$$
   • $$\frac{9}{20}$$

6. $$5\frac{3}{7}$$ < $$x$$ < $$6\frac{4}{7}$$Which of the following absolute value inequalities is equivalent to the double inequality above?

   • $$|x-6|\le\frac47$$
   • $$|x+6|$$ < $$\frac47$$
   • $$|x-6|$$ < $$\frac47$$
   • $$|x-6|$$ > $$\frac47$$

7. If $$k$$ is a positive integer, what is the least value of $$k$$ for which $$\sqrt{\frac{3k}{2}}$$ is an integer?

   • $$2$$
   • $$3$$
   • $$6$$
   • $$24$$

8. If the roots of the function $$y=4x^3-6x^2+10x-2$$ are represented by $$a,b,$$ and $$c$$, what is the value of $$a+b+c$$?

   • $$\frac32$$
   • $$\frac32$$
   • $$\frac32$$
   • $$\frac32$$

9. Simplify the expression: $$\frac{9x^2+6x-8}{6x^2-x-2}\cdot\frac{4x^2+4x-3}{2x^2-5x-12}\cdot\frac{2x^2-7x-4}{6x^2+5x-4}$$

   • 1

10. The graph of $$f(x)$$ is shown in the $$xy$$-plane for $$-5\le x\le9$$. If $$k$$ is a constant such that the equation $$f(x)=k$$ has three solutions, which of the following could be a value of $$k$$?

    • $$5$$
    • $$1$$
    • $$0$$
    • $$-3$$