Full Practice Exam 6 — Module 1

Questions in this quiz (22)

1. A jar contains 72 marbles. There are 18 blue marbles, 15 green marbles, 12 yellow marbles, and the rest are red. If one marble is selected at random, what is the probability that it is not red?

   • $$\frac{5}{24}$$
   • $$\frac{3}{8}$$
   • $$\frac{5}{8}$$
   • $$\frac{55}{72}$$

2. A city library charges a $$\$2.75$$ processing fee for each overdue book plus $$\$0.35$$ for each day the book is overdue. A customer has one overdue book and is charged a total of $$\$11.85$$. How many days was the book overdue?

   • $$23$$
   • $$24$$
   • $$25$$
   • $$26$$

3. Two factories produce the same type of bicycle helmets. Factory A manufactures 840 helmets per day, and Factory B manufactures 620 helmets per day. The company must produce at least 18,000 helmets during one production cycle. If $$a$$ and $$b$$ represent the numbers of production days for Factories A and B, respectively, which inequality models this situation?

   • $$840a+620b\le18000$$
   • $$620a+840b\ge18000$$
   • $$840a+620b\ge18000$$
   • $$840(a+b)\ge18000$$

4. A string of holiday lights contains 24 white lights, 36 blue lights, 18 green lights, and 42 red lights. If one light is selected at random, what is the probability that it is neither white nor green?

   • $$\frac3{10}$$
   • $$\frac{13}{20}$$
   • $$\frac7{10}$$
   • $$\frac{11}{15}$$

5. What is the side length, in inches, of a square whose area is 9,216 square inches?

   • $$48$$
   • $$72$$
   • $$96$$
   • $$192$$

6. The function $$f$$ is defined by: $$f(x)=2x-45$$What is the value of $$f(215)$$?

   • $$340$$
   • $$365$$
   • $$385$$
   • $$430$$

7. A spacecraft must travel at 43,200 kilometers per hour to escape a planet's gravity. What is this speed in kilometers per second?$$(1\text{ hour}=3600\text{ seconds})$$

   • 12

8. The ratio of $$a$$ to $$b$$ is $$9:5$$. If $$a$$ is divided by 18, by what number must $$b$$ be divided so that the ratio remains unchanged?

   • 18

9. Line $$m$$ passes through the points $$(2,19)$$ and $$(6,7)$$. Which equation defines line $$m$$?

   • $$y=-3x+25$$
   • $$y=-\frac13x+25$$
   • $$y=3x+13$$
   • $$y=-3x+19$$

10. The value of $$p$$ is $$0.84$$ times 250. The value of $$p$$ is what percent less than 250?

    • $$12\%$$
    • $$14\%$$
    • $$16\%$$
    • $$18\%$$

11. In the figure, points $$K$$, $$L$$, $$O$$, and $$N$$ lie on the same line, and points $$J$$, $$L$$, and $$M$$ lie on the same line. The measure of angle $$JLK$$ is $$27^\circ$$, the measure of angle $$MNO$$ is $$17^\circ$$, and $$LM=MO$$. What is the measure of angle $$NMO$$, in degrees?

    • 10

12. A fountain has two water jets. Jet A sprays every 420 seconds, and Jet B sprays every 336 seconds. If both begin spraying at the same time, how many seconds after they begin will Jet A spray for the 48th time and Jet B spray for the 60th time simultaneously?

    • 20160

13. What value of $$x$$ satisfies: $$-\frac45(x-5)+\frac32(x-5)=21$$?

    • $$25$$
    • $$30$$
    • $$35$$
    • $$40$$

14. A line has an $$x$$-intercept of $$(18,0)$$ and a $$y$$-intercept of $$(0,-12)$$. What is the slope of the line?

    • $$\frac23$$
    • $$\frac32$$
    • $$-\frac23$$
    • $$-\frac32$$

15. $$y=\frac12x+8$$$$y=-x+20$$The system of equations above has one solution $$(x,y)$$. What is the value of $$y$$?

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

16. The amount of money in an investment account grows linearly. The account balance is $$\$4,850$$ at the end of month 8 and $$\$7,250$$ at the end of month 20. What was the balance, to the nearest dollar, at the end of month 0?

    • 3250

17. Four data sets are represented by frequency tables. Which data set has the least mean?

18. The table shows a linear relationship between $$x$$ and $$y$$. What is the slope of the line?

    • $$\frac{3}{10}$$
    • $$\frac{10}{3}$$
    • $$\frac{7}{20}$$
    • $$20$$

19. A class has 36 students choosing among three sizes of smoothies. Seven students chose the small size. The number of students who chose the medium size is 5 times the number who chose the large size. If $$t$$ represents the number of students who chose the large size, which equation must be true?

    • $$6t+7=36$$
    • $$5t+7=36$$
    • $$7t+5=36$$
    • $$5(7+t)=36$$

20. The function $$g(x)=3\cdot2^x-k$$ passes through the point $$(2,-4)$$. What is the value of $$k$$?

    • 16

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. $$-12x+8y=-28$$ $$-6x+4y=-14$$The system represents the same line. Which point lies on both equations for every real number $$n$$?

    • $$\left(n,\frac{3n-7}{2}\right)$$
    • $$\left(\frac n2,\frac{3n-7}{4}\right)$$
    • $$\left(\frac{3n-7}{2},n\right)$$
    • $$\left(n,\frac{2n-7}{3}\right)$$