Mini Exam 10 — Timed Mini Exams

Questions in this quiz (10)

1. A store sells two different-sized containers of a certain Greek yogurt. The store's sales of this Greek yogurt totaled 1,277.94 dollars last month. The equation $$5.48x+7.30y=1,277.94$$ represents this situation, where $$x$$ is the number of smaller containers sold and $$y$$ is the number of larger containers sold. According to the equation, which of the following represents the price, in dollars, of each smaller container?

   • $$5.48$$
   • $$7.30y$$
   • $$7.30$$
   • $$5.48x$$

2. Which expression is equivalent to $$(d-6)(8d^2-3)$$?

   • $$8d^3-14d^2-3d+18$$
   • $$8d^3-17d^2+48$$
   • $$8d^3-48d^2-3d+18$$
   • $$8d^3-51d^2+48$$

3. A right triangle has legs with lengths of 28 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

   • $$8\sqrt6$$
   • $$4\sqrt{74}$$
   • $$48$$
   • $$1,184$$

4. $$8x+7y=9$$ $$24x+21y=27$$In the system of equations above, for each real number $$r$$, which of the following points lies on the graph of each equation in the $$xy$$-plane?

   • $$(r,-\frac{8r}{7}+\frac97)$$
   • $$(-\frac{8r}{7}+\frac97,r)$$
   • $$(-\frac{8r}{7}+9,\frac{8r}{7}+27)$$
   • $$(\frac{r}{3}+9,-\frac{r}{3}+27)$$

5. Each of the following frequency tables represents a data set. Which data set has the greatest mean?

6. A salesperson's total earnings consist of a base salary of $$x$$ dollars per year, plus commission earnings of 11% of the total sales the salesperson makes during the year. This year, the salesperson has a goal for the total earnings to be at least 3 times and at most 4 times the base salary. Which of the following inequalities represents all possible values of total sales $$s$$, in dollars, the salesperson can make this year in order to meet that goal?

   • $$2x\le s\le3x$$
   • $$\frac{2}{0.11}x\le s\le\frac{3}{0.11}x$$
   • $$3x\le s\le4x$$
   • $$\frac{3}{0.11}x\le s\le\frac{4}{0.11}x$$

7. The number $$a$$ is 70% less than the positive number $$b$$. The number $$c$$ is 60% greater than $$a$$. The number $$c$$ is how many times $$b$$?

   • 0.48

8. There are 20 buttons in a bag: 8 white buttons, 2 orange buttons, and 10 brown buttons. If one of these buttons is selected at random, what is the probability of selecting a white button?

   • $$\frac{2}{20}$$
   • $$\frac{8}{20}$$
   • $$\frac{10}{20}$$
   • $$\frac{12}{20}$$

9. In a box of pens, the ratio of black pens to red pens is 8 to 1. There are 40 black pens in the box. How many red pens are in the box?

   • $$5$$
   • $$8$$
   • $$40$$
   • $$320$$

10. The function $$f$$ is defined by the equation $$f(x)=100x+2$$. What is the value of $$f(x)$$ when $$x=9$$?

    • $$111$$
    • $$118$$
    • $$900$$
    • $$902$$