thea-mathematics-pt-ii

1. A machine in a soft drink bottling factory caps 3 bottles per second. How many bottles can it cap in 15 hours?

A.

B.

C.

D.

2. A truck has a full 50-gallon gas tank. It uses 7 gallons on the first part of its journey, 13 gallons on the second part of its journey, and 15 gallons on the third part of its journey. How many gallons of gas remain in the gas tank?

A. 14

B. 14

C. 15

D. 36

3. A rancher is planning to put up 220 yards of fencing. In the morning she puts up 80 yards, and in the afternoon she puts up 40% of the remaining fence. What percent of the fence did she put up that day?

A. 36%

B. 51%

C. 62%

D. 76%

4. During a bike-a-thon a local company pledges to donate $1.25 for every $4.00 pledged by the public. If the public pledges a total of $156.00 dollars per mile, how much will the company donate per mile?

A. $2.75

B. $48.75

C. $195.00

D. $499.20

5. Use the pie charts below to answer the question that follows.

The first pie chart represents a company's expenditures, and the second pie chart shows a breakdown of the company's advertising expenditures. What percent of the company's expenditures is spent on radio advertising?

A. 6.3%

B. 11.7%

C. 18.0%

D. 35.0%

6. Scientists have stocked Wilson's pond with a species of fish. The scientists note that the population has steadily decreased over a period of time until the population is approximately half the number of fish originally stocked. If the number of fish are plotted on the y-axis and the amount of time on the x-axis, which of the following could result?

A. B.

C. D.

7. A student has received scores of 88, 82, and 84 on three quizzes. If tests count twice as much as quizzes, what is the lowest score the student can get on the next test to achieve an average score of at least 70?

A. 13

B. 48

C. 70

D. 96

8. Use the distribution curves below to answer the question that follows.

The distribution curves above show data on the gas mileage for two different brands of car. Which of the following correctly analyzes the information presented in these distributions?

A. The mean gas mileage of brand A is greater than the mean gas mileage of brand B.

B. Data was collected for more cars of brand A than of brand B.

C. Brand A cars have smaller variability in gas mileage than brand B cars.

D. Brand A cars get poorer gas mileage than brand B cars.

9. Use the graph below to answer the question that follows.

Which of the following equations represents line AB?

A. y = x + 2

B. y = x + 3

C. y = + 3

D. y = 3x + 2

10. What is the slope of the line passing through , and ?

A.

B.

C. 3

D.

11. Which of the following is an equation of the line passing through and (6, 0)?

A. y = x + 3

12. Use the graph below to answer the question that follows.

The graph shows how the width (w) depends on the length () for a rectangle of constant area. What is the value of w for = 8?

A. 1

B.

C. 4

D. 96

13. If x + 7 = 16, what is the value of 2x + 1?

A.

B.

C.

D.

14. If 5r = 9t + 7, what is the value of t?

A. t =

B. t =

C. t =

D. t = + 7

15. What is the solution to the system of equations and ?

A. (0, 6), (9, 9)

B.

C. an infinite number of solutions

D. no solution

16. Which of the following graphs shows the solution of y + 2x + 2 = 0 and y = ?

A.

B.

C.

D.

17. C is 10 more than the square of the quotient of the sum of x and y and the product of x and y. Which equation expresses this relationship?

A.

B.

C.

D.

18. The number P is 50 less than the square of the difference of and n. Which of the following equations expresses this relationship?

A.

B.

C.

D.

19. A ten-foot-long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 feet longer than the second. How long is the first piece?

A. 1 feet

B. 2 feet

C. 2 feet

D. 3 feet

20. Angel has $1.80 in nickels, dimes, and quarters in his pocket. He has twice as many quarters as nickels. The number of dimes in his pocket is one more than the number of nickels and quarters put together. Which set of three equations could be used to determine how many nickels, dimes, and quarters Angel has?

5N + 10D + 25Q = 180

Q = 2N

D = N + Q + 1

5N + 10D + 25Q = 180

N = 2Q

D = N + Q + 1

5N + 10D + 25Q = 1.80

Q = 2N

D + 1 = N + Q

0.05N + 0.10D + 0.75Q = 180

Q = 2N

D + 1 = N + Q

21. Robin Chang collected $175 in the second week of her school charity drive. This was $35 more than she collected in the first week. How much did she collect in the two weeks?

A. $210

B. $315

C. $385

D. $420

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