Full Practice Exam 2 — Module 2

Questions in this quiz (22)

1. If $$\frac{3}{7}x+\frac{5}{7}x=1$$, what is the value of $$x$$?

   • $$\frac{8}{7}$$
   • $$\frac{7}{8}$$
   • $$\frac{1}{8}$$
   • $$\frac{1}{35}$$

2. Joe purchases a phone plan that costs 30 dollars a month as a fixed charge plus 33 cents per text message. How much will Joe’s monthly bill be if he sends 334 text messages in one month?

   • $$64.00$$
   • $$140.22$$
   • $$160.30$$
   • $$420.32$$

3. $$\frac{2}{3}$$ cup of vanilla ice cream and $$\frac{4}{3}$$ cup of strawberry ice cream cost $$\$10$$. $$\frac{1}{3}$$ cup of vanilla ice cream and $$2\frac{2}{3}$$ cups of strawberry ice cream cost $$\$17$$. How much does one cup of vanilla ice cream cost?

   • $$1$$
   • $$2$$
   • $$3$$
   • $$6$$

4. $$x-4=3y$$$$3x+4y=38$$Which of the following is the solution to the system?

   • $$(10,2)$$
   • $$(2,10)$$
   • $$(-2,10)$$
   • $$(-10,2)$$

5. If $$-350\le15x+25$$ < $$650$$, which of the following cannot be a solution of this inequality?

   • $$-25$$
   • $$35$$
   • $$41$$
   • $$45$$

6. At Sing&Dance, customers can rent singing and dancing rooms in increments of 1 minute with a minimum total of 30 minutes. The singing room costs $$\$10$$ per minute, and the dancing room costs $$\$20$$ per minute. If the minimum total cost must be $$\$500$$, which choice indicates a possible combination of singing and dancing minutes that can be rented?

   • $$(15,15)$$
   • $$(15,16)$$
   • $$(15,17)$$
   • $$(15,18)$$

7. Jane visited her friend and then drove to a beach several hundred miles away from home. The graph shows her distance from home, $$d$$, at time $$t$$ after she left for the beach. Which model describes her distance from home?

   • $$d=40+t$$
   • $$d=40+40t$$
   • $$d=50+42.5t$$
   • $$d=50-40t$$

8. The Mariana Trench has a depth of 11 kilometers below sea level. Mount Kilimanjaro has a height of 6 kilometers above sea level. What is the absolute difference between the two heights?

   • 17

9. The length $$l$$ of a rectangle is three times its width $$w$$. If the length is increased by 5 units and the width is increased by 2 units, the area of the new rectangle is given by which expression?

   • $$3w^2+11w+10$$
   • $$3w^2-11w+10$$
   • $$11w^2+3w+10$$
   • $$11w^2-3w-10$$

10. A circus clown walks down a straight rope from a point 9 feet above the ground. At the same time, a trapeze artist moves along the parabolic path shown. After crossing the trapeze artist for the first time at 9 feet, approximately how far does the clown walk down the rope before meeting the trapeze artist again?

    • $$3$$
    • $$5$$
    • $$6$$
    • $$7$$

11. If $$g(x)$$ is obtained by shifting the function $$f(x)=2x^2-3$$ down by 5 units, what is $$g(x)$$?

    • $$g(x)=2x^2-3$$
    • $$g(x)=2x^2-2$$
    • $$g(x)=2x^2-8$$
    • $$g(x)=2x^2-15$$

12. The area of a rectangular carpet can be modeled as $$x^2-2x-8$$, where one side has a length of $$x+2$$. What is the length of the other side?

    • $$x-4$$
    • $$x+4$$
    • $$x-2$$
    • $$x+2$$

13. In physics, the motion of a falling object is given by the formula $$s=ut+\frac12gt^2$$, where $$s$$ is the distance traveled in time $$t$$, $$u$$ is the initial velocity, and $$g=9.8\text{ m/s}^2$$. If the initial velocity is $$0\text{ m/s}$$, how many seconds will it take an object to fall a distance of 500 meters?

    • $$6.10$$
    • $$10.10$$
    • $$20.20$$
    • $$102.04$$

14. If $$\sqrt{x+1}=\sqrt{2x-5}$$, then what is the value of $$x$$?

    • $$2$$
    • $$4$$
    • $$6$$
    • $$7$$

15. After reading one half of a novel and ten percent more, there are still 40 pages left to read. How many pages does the novel have?

    • $$40$$
    • $$80$$
    • $$100$$
    • $$120$$

16. Stephanie wants to cut two ribbons of lengths 18 feet and 24 feet into several strings of equal length with no ribbon left over. What is the total number of strings she will have if the strings must have the maximum possible length?

    • $$3$$
    • $$6$$
    • $$7$$
    • $$12$$

17. Tim had $$\$100$$ in his bank account at the beginning of the month. During the month, he withdrew $$w$$ dollars and deposited $$d$$ dollars. If the deposit was twice as much as the withdrawal and he had a balance of $$\$150$$ at the end of the month, how much did he deposit?

    • 100

18. A farmer loads bags of rice, wheat, and corn into a truck. The ratio of the weight of rice to the weight of wheat is $$2:3.1$$. The ratio of the weight of wheat to the weight of corn is $$6.2:1$$. Which loading, in pounds, is possible?

    • Rice 200, Wheat 410, Corn 620
    • Rice 400, Wheat 310, Corn 100
    • Rice 200, Wheat 310, Corn 620
    • Rice 400, Wheat 620, Corn 100

19. At a car dealership, sales of model-A were 100 cars in 2010, and sales increased by the same percentage for the next two years. Sales of model-B were 1600 cars in 2010, and sales decreased by the same percentage for the next two years. If the percentage increase for model-A is equal to the percentage decrease for model-B, and the numbers of model-A and model-B cars sold in 2012 are equal, what is the percentage increase or decrease?

    • $$25\%$$
    • $$30\%$$
    • $$45\%$$
    • $$60\%$$

20. The scores obtained by students on a geography test are shown in the scatterplot. There were 35 students who scored 55, 25 students who scored 65, 25 students who scored 75, 10 students who scored 80, 5 students who scored 85, and 5 students who scored 90. What is the average score for the test?

    • $$55$$
    • $$57.62$$
    • $$63.05$$
    • $$67.62$$

21. A cab company’s ridership by zip code is shown in a pie chart. Zip code 90210 represents $$12\%$$, zip code 90211 represents $$18\%$$, zip code 90212 represents $$x\%$$, zip code 90213 represents $$20\%$$, and zip code 90214 represents $$3x\%$$. If the total ridership is 3000, what is the ridership in zip code 90214?

    • $$1125$$
    • $$1375$$
    • $$1750$$
    • $$2025$$

22. Two similar triangles have corresponding side lengths in the ratio $$3:5$$. The area of the smaller triangle is 54 square units. What is the area of the larger triangle?

    • $$90$$
    • $$120$$
    • $$150$$
    • $$180$$