Mini Exam 6 — Timed Mini Exams

Questions in this quiz (10)

1. A sterling silver platter is made up of a mixture of silver and copper. The ratio of silver to copper is 37:3 by mass. If the platter has a mass of 600 grams, what is the mass, in grams, of the copper in the platter?

   • 18
   • 45
   • 222
   • 555

2. Rocco will need to pay a total of $$\$5,246.87$$ for a car, including the sales tax and transfer fee. There is an 8.5% sales tax on the purchase price of the car and a title transfer fee of $$\$15$$. To the nearest dollar, what is the purchase price of the car Rocco plans to buy?

   • $4,787
   • $4,822
   • $5,223
   • $5,708

3. Rocco works 15 hours each week and saves $$\$10$$ for each hour he works. He has already saved $$\$3,500$$ and plans to save at least $$\$5,300$$. Which inequality can Rocco use to model the number of weeks remaining, $$x$$, that he will need to work before he has saved at least $$\$5,300$$?

   • $$3,500+150x\ge5,300$$
   • $$3,500\le150x+5,300$$
   • $$3,500\le150+5,300x$$
   • $$3,500x+150\ge5,300$$

4. A 6th leaf is added to the sample and its length is measured. Its measure increases the mean value of the sample of leaves but decreases the median value of the sample of leaves. What is a possible measurement for the length of the 6th leaf?

   • 13.1 cm
   • 13.3 cm
   • 13.4 cm
   • 13.7 cm

5. A total of 325 people saw the movie in that theater. Based on the survey results, about how many of the people who saw the movie would have rated it with 3 or more stars?

   • 50
   • 80
   • 230
   • 305

6. A quality-control specialist for an electronics manufacturer estimates that 0.25% of the televisions produced each day by her company are defective. If the manufacturer produces an average of 450 televisions each day, which of the following is the best estimate of the total number of defective televisions produced in 30 working days?

   • 1
   • 34
   • 113
   • 3,375

7. Line $$\ell$$ is shown on the $$xy$$-plane. If the corresponding equation for line $$\ell$$ is $$y=ax+b$$, where $$a$$ and $$b$$ are constants, which set of inequalities is true about $$a$$ and $$b$$?

   • $$0$$ < $$a$$ < $$1$$$$b$$ < $$1$$
   • $$-1$$ < $$a$$ < $$0$$$$b$$ > $$-10$$
   • $$a$$ < $$0$$$$b$$ < $$1$$
   • $$a$$ > $$0$$$$b$$ > $$10$$

8. Mr. LePage spent $$\$25,000$$ to buy a new truck for his construction business. The table shows the truck value after each year of ownership: If the line passing through the points defined by the values in the table is graphed in the $$xy$$-plane, which of the following is the best interpretation of the $$y$$-intercept in the context of the problem?

   • The number of years for which the value of the truck will decrease
   • The amount that the value of the truck is decreasing each year
   • The value of the truck after the sixth year of ownership
   • The value of the truck when it was new

9. $$5x-6y=2.7$$ $$10x+7y=1.6$$The solution to the system of equations above is $$(x,y)$$. What is the value of $$x$$?

   • 0.3

10. A dinner was held to raise money for a children's museum. A ticket for one person cost $$\$200$$ and a ticket for a couple, two people, cost $$\$350$$. A total of 130 people attended the dinner, and the ticket sales totaled $$\$24,000$$. What is the total number of tickets that were sold?

    • 90