Full Practice Exam 5 — Module 2

Questions in this quiz (22)

1. A candy store has 84 jelly beans. Of these, 18 are cherry, 27 are grape, 15 are orange, and the rest are lemon. If one jelly bean is selected at random, what is the probability that it is not lemon?

   • $$\frac{24}{84}$$
   • $$\frac{60}{84}$$
   • $$\frac{69}{84}$$
   • $$\frac{15}{84}$$

2. The table summarizes the approximate time since the most recent visit to a community health clinic for 480 patients.How many patients visited the clinic within the last four months?

   • $$48$$
   • $$108$$
   • $$156$$
   • $$300$$

3. $$9b-468=207$$Which value of $$b$$ satisfies the equation?

   • $$25$$
   • $$63$$
   • $$75$$
   • $$91$$

4. The ratio of $$m$$ to $$n$$ is $$7:4$$. If $$m$$ is divided by 14, by what number must $$n$$ be divided so that the ratio remains the same?

   • 14

5. At a school fundraiser, 65% of the balloons are blue and the rest are yellow. If there are 360 balloons altogether, how many are yellow?

   • 126

6. $$y=2x-7$$$$y=11$$The system above has one solution $$(x,y)$$. What is the value of $$x$$?

   • $$7$$
   • $$8$$
   • $$9$$
   • $$18$$

7. How many inches are equivalent to 11 yards?$$(1\text{ yard}=36\text{ inches})$$

   • 396

8. The function $$h$$ is defined by: $$h(x)=5x-17$$What is the value of $$h(38)$$?

   • $$173$$
   • $$180$$
   • $$190$$
   • $$207$$

9. There are 4,680 trees in an orange grove, and there are 180 trees planted per acre. How many acres does the grove cover?

   • $$24$$
   • $$26$$
   • $$28$$
   • $$30$$

10. A line is graphed in the $$xy$$-plane. The line crosses the $$y$$-axis halfway between 5 and 6 and decreases as $$x$$ increases. What is the $$y$$-intercept of the line?

    • $$\left(0,-\frac{11}{2}\right)$$
    • $$\left(0,-\frac{2}{11}\right)$$
    • $$\left(0,\frac{11}{2}\right)$$
    • $$\left(\frac{11}{2},0\right)$$

11. A machine spends 36.8 seconds cutting one metal plate and 18.2 seconds polishing one metal plate. If the machine spends a total of 238.4 seconds cutting $$c$$ plates and polishing $$p$$ plates, which equation represents this situation?

    • $$36.8c+18.2p=238.4$$
    • $$18.2c+36.8p=238.4$$
    • $$54.0(c+p)=238.4$$
    • $$36.8+18.2=238.4cp$$

12. The ratio of fiction books to nonfiction books in a library is $$9:5$$. If there are 45 nonfiction books, how many fiction books are there?

    • $$25$$
    • $$45$$
    • $$81$$
    • $$90$$

13. A rectangle has a perimeter of 94 centimeters. If each of its longer sides measures 31 centimeters, what is the length, in centimeters, of each shorter side?

    • 16

14. A garden supply company packages 30 flower-seed packets using only 500-mg packets and 800-mg packets. The total mass is 19,800 mg. How many 800-mg packets are included?

    • $$8$$
    • $$10$$
    • $$12$$
    • $$16$$

15. Line $$r$$ is defined by: $$5y=-15x+25$$ Line $$s$$ is parallel to line $$r$$. What is the slope of line $$s$$?

    • $$-5$$
    • $$-3$$
    • $$-\frac13$$
    • $$3$$

16. A right triangle contains two acute angles. One acute angle measures $$38^\circ$$. What is the measure, in degrees, of the other acute angle?

    • $$42$$
    • $$48$$
    • $$52$$
    • $$62$$

17. The graph shows the possible combinations of yards of blue fabric and yards of red fabric that can be purchased for $$\$14$$. The line has intercepts $$(0,7)$$ and $$(14,0)$$. How many yards of blue fabric did Jessica purchase if she purchased 6 yards of red fabric for a total of $$\$14$$?

    • $$2$$
    • $$4$$
    • $$8$$
    • $$11$$

18. A parallelogram has a base of 32 centimeters and a height of 18 centimeters. What is its area, in square centimeters?

    • 576

19. A graph is shown in the $$xy$$-plane. Which of the following is the $$x$$-intercept of the graph?

    • $$(0,0)$$
    • $$(0,2)$$
    • $$(2,0)$$
    • $$(3,3)$$

20. The number $$a$$ is $$40\%$$ less than the positive number $$b$$. The number $$b$$ is $$25\%$$ greater than the positive number $$c$$. How many times the value of $$a$$ is the number $$c$$?

    • $$\frac14$$
    • $$\frac58$$
    • $$\frac43$$
    • $$\frac35$$

21. Right Circular Cone 1 has a radius of $$r_1$$ and a height of $$h_1$$. The volume of Right Circular Cone 2 is 100 times the volume of Right Circular Cone 1. Right Circular Cone 2 has a radius of $$r_2$$ and a height of $$h_2$$. Which of the following could represent $$r_2$$ and $$h_2$$ in terms of $$r_1$$ and $$h_1$$, respectively?

    • $$r_2=5r_1\text{ and }h_2=4h_1$$
    • $$r_2=25r_1\text{ and }h_2=4h_1$$
    • $$r_2=4r_1\text{ and }h_2=5h_1$$
    • $$r_2=4r_1\text{ and }h_2=25h_1$$

22. According to the triangle inequality theorem, the third side $$x$$ of a triangle with side lengths 14 and 21 must satisfy which inequality?

    • $$7$$ < $$x$$ < $$35$$
    • $$0$$ < $$x$$ < $$35$$
    • $$x$$ > $$35$$
    • $$x$$ < $$7$$