Mini Exam 46 — Timed Mini Exams

Questions in this quiz (10)

1. Solve the equation:$$\frac{3+x-(4+3x)}{2}=\frac{-x-2(4+2)}{3}$$

   • $$\frac{1}{4}$$
   • $$\frac{1}{2}$$
   • $$\frac{21}{4}$$
   • $$\frac{3}{4}$$

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

   • 5

3. The graph shows the correlation between the number of people, $$n$$, on the seashore in summer and the temperature, $$T$$, at that time. Which equation represents the line of the graph?

   • $$n=30T$$
   • $$n=30T+25$$
   • $$n=30T-750$$
   • $$n=25T-750$$

4. Line $$m$$ has a slope of $$\frac35$$ and passes through the point $$(2,3)$$. If line $$l$$ is perpendicular to line $$m$$ and passes through the same point $$(2,3)$$, which of the following could be the equation of line $$l$$?

   • $$y=-\frac53x+3$$
   • $$y=\frac53x+\frac{19}{3}$$
   • $$y=-\frac53x+\frac{19}{3}$$
   • $$y=\frac53x-\frac13$$

5. An electrician charges an initial fee of $$40$$ dollars and an additional $$\$8$$ for every $$\frac13$$ hour of work. The electrician worked for $$h$$ hours, and the total charge for the job was $$112$$ dollars. Which equation models this situation?

   • $$(40+8)h=112$$
   • $$40+8\cdot\frac13h=112$$
   • $$40+8\cdot3h=112$$
   • $$40+8h=112$$

6. $$7m-2n=2$$$$3m+4n=8$$What is the solution to the system of equations?

   • $$\left(\frac{12}{17},\frac{25}{17}\right)$$
   • $$\left(\frac{13}{15},\frac{24}{15}\right)$$
   • $$\left(\frac{12}{17},\frac{20}{17}\right)$$
   • $$\left(\frac{13}{15},\frac{17}{15}\right)$$

7. $$y$$ < $$-8x+3p$$$$y$$ > $$10x+4q$$If $$(0,12)$$ is a solution to the system of inequalities, which relationship between $$p$$ and $$q$$ must be true?

   • $$p$$ < $$q$$
   • $$p$$ > $$q$$
   • $$p=q$$
   • The relationship cannot be determined.

8. The polynomial function crosses the $$x$$-axis at $$x=-5$$, $$x=-1$$, and $$x=3$$. If the equation for this polynomial is written in the form $$y=x^3+ax^2+bx+c$$, which of the following could be the equation?

   • $$y=x^3-3x^2-13x-15$$
   • $$y=x^3+3x^2-13x+15$$
   • $$y=x^3+3x^2-13x-15$$
   • $$y=x^3-3x^2-13x+15$$

9. A function $$f(x)$$ is first reflected over the $$y$$-axis, translated one unit right, and three units up. Which of the following could represent the resulting function?

   • $$f(-x-1)+3$$
   • $$f(-x+1)+3$$
   • $$f(-x+1)-3$$
   • $$-f(x+1)+3$$

10. Which of the following is most likely the slope of the line of best fit for the scatterplot?

    • $$-10$$
    • $$-1$$
    • $$1$$
    • $$10$$