Mini Exam 4 — Timed Mini Exams

Questions in this quiz (10)

1. In the equation $$\frac34=\frac{x}{60},$$ what is the value of $$x$$?

   • $$25$$
   • $$30$$
   • $$40$$
   • $$45$$

2. The table shows some pairs of $$x$$ values and $$y$$ values. Which equation could represent the relationship between $$x$$ and $$y$$?

   • $$y=2x+3$$
   • $$y=3x-2$$
   • $$y=4x-1$$
   • $$y=5x$$

3. A discount airline sells a certain number of tickets, $$x$$, for a flight for $$\$90$$ each. It sells the number of remaining tickets, $$y$$, for $$\$250$$ each. For a particular flight, the airline sold $$120$$ tickets and collected a total of $$\$27,600$$ from the sale of those tickets. Which system of equations represents this relationship between $$x$$ and $$y$$?

   • $$x+y=120$$$$90x+250y=27,600$$
   • $$x+y=120$$$$90x+250y=120(27,600)$$
   • $$x+y=27,600$$90x+250y=120(27,600)$$
   • $$90x=250y$$$$120x+120y=27,600$$

4. Which of the following is equivalent to the expression $$x^2-17x-60$$?

   • $$(x-5)(x-12)$$
   • $$(x+5)(x-12)$$
   • $$(x-3)(x-20)$$
   • $$(x+3)(x-20)$$

5. What is the equation of the line shown in the $$xy$$-plane?

   • $$y=3x-3$$
   • $$y=-3x+3$$
   • $$y=\frac13x-3$$
   • $$y=-\frac13x+3$$

6. Which of the following expressions is equivalent to $$(-11x+31y)-2(-x+5y)$$?

   • $$-13x+21y$$
   • $$-13x+36y$$
   • $$-9x+21y$$
   • $$-9x+36y$$

7. The formula for determining the pressure, $$p$$, exerted on an object at a depth, $$h$$, below the surface of a liquid is $$p=s+dgh,$$ where $$s$$ is the atmospheric pressure, $$d$$ is the density of the liquid, and $$g$$ is the acceleration due to gravity. Which formula represents $$h$$ in terms of $$p$$, $$s$$, $$d$$, and $$g$$?

   • $$h=\frac{p}{s}+dg$$
   • $$h=\frac{p-s}{dg}$$
   • $$h=ps-dg$$
   • $$h=ps+dg$$

8. Rachel's costs for automobile maintenance and fuel are shown in the table. In addition to fuel and maintenance, Rachel pays $$\$1,000$$ a year for insurance. The equation $$C=(0.05+0.14)x+1,000$$ shows the cost $$C$$, in dollars, of owning and operating the car for a year as a function of $$x$$, the number of miles driven in a year. What does the slope of the graph of this function represent?

   • The cost of insurance for a year
   • The cost of fuel and insurance for a year
   • The cost of owning and operating per mile
   • The cost of maintenance and fuel per mile

9. What is the solution to the equation $$(-4x+5)-(6x+7)=0$$?

   • $$x=6$$
   • $$x=1$$
   • $$x=-0.2$$
   • $$x=-1.2$$

10. A manufacturer makes two different sizes of spherical ball bearings for use in motors. If the radius of the larger ball bearing is twice the radius of the smaller one, then the volume of the larger ball bearing is how many times the volume of the smaller one?

    • $$2$$
    • $$3$$
    • $$6$$
    • $$8$$