Mini Exam 2 — Timed Mini Exams

Questions in this quiz (10)

1. An employee at a restaurant prepares sandwiches and salads. It takes the employee $$1.5$$ minutes to prepare a sandwich and $$1.9$$ minutes to prepare a salad. The employee spends a total of $$46.1$$ minutes preparing $$x$$ sandwiches and $$y$$ salads. Which equation represents this situation?

   • $$1.9x+1.5y=46.1$$
   • $$1.5x+1.9y=46.1$$
   • $$x+y=46.1$$
   • $$30.7x+24.3y=46.1$$

2. $$x+2y=6$$ $$x-2y=4$$The solution to the system of equations is $$(x,y)$$. What is the value of $$x$$?

   • $$2.5$$
   • $$5$$
   • $$6$$
   • $$10$$

3. A neighborhood consists of a $$2$$-hectare park and a $$35$$-hectare residential area. The total number of trees in the neighborhood is $$3,934$$. The equation $$2x+35y=3,934$$ represents this situation. Which of the following is the best interpretation of $$x$$ in this context?

   • The average number of trees per hectare in the park
   • The average number of trees per hectare in the residential area
   • The total number of trees in the park
   • The total number of trees in the residential area

4. Line $$k$$ is defined by $$y=3x+15$$. Line $$j$$ is perpendicular to line $$k$$ in the $$xy$$-plane. What is the slope of line $$j$$?

   • $$-\frac13$$
   • $$-\frac1{12}$$
   • $$-\frac1{18}$$
   • $$-\frac1{45}$$

5. If a new graph of three linear equations is created using the system of equations shown and the equation $$x+4y=-16$$, how many solutions $$(x,y)$$ will the resulting system of three equations have?

   • Zero
   • Exactly one
   • Exactly two
   • Infinitely many

6. Connor has $$c$$ dollars and Maria has $$m$$ dollars. Connor has $$4$$ times as many dollars as Maria, and together they have a total of $$\$25.00$$. Which system of equations represents this situation?

   • $$c=4m$$$$c+m=25$$
   • $$m=4c$$$$c+m=25$$
   • $$c=25m$$$$c+m=4$$
   • $$m=25c$$$$c+m=4$$

7. The function $$f$$ is defined by $$f(x)=\frac{1}{10}x-2$$. What is the $$y$$-intercept of the graph of $$y=f(x)$$ in the $$xy$$-plane?

   • $$(-2,0)$$
   • $$(0,-2)$$
   • $$\left(0,\frac1{10}\right)$$
   • $$\left(\frac1{10},0\right)$$

8. A teacher is creating an assignment worth $$70$$ points. The assignment will consist of questions worth $$1$$ point and questions worth $$3$$ points. Which equation represents this situation, where $$x$$ represents the number of $$1$$-point questions and $$y$$ represents the number of $$3$$-point questions?

   • $$4xy=70$$
   • $$4(x+y)=70$$
   • $$3x+y=70$$
   • $$x+3y=70$$

9. Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is $$63$$ inches. The equation $$3x+6y=63$$ represents this situation, where $$x$$ is the number of sides of figure A and $$y$$ is the number of sides of figure B. Which statement is the best interpretation of $$6$$ in this context?

   • Each side of figure B has a length of $$6$$ inches.
   • The number of sides of figure B is $$6$$.
   • Each side of figure A has a length of $$6$$ inches.
   • The number of sides of figure A is $$6$$.

10. $$y\le x+7$$ $$y\ge -2x-1$$Which point $$(x,y)$$ is a solution to the system of inequalities in the $$xy$$-plane?

    • $$(-14,0)$$
    • $$(0,-14)$$
    • $$(0,14)$$
    • $$(14,0)$$