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ced1 [1815501]StudentClassDate

Read the following and answer the questions below:

Paper Airplane Contest

Paper Airplane Contest

Jenna read an article in a magazine about a paper airplane contest. The article referenced an internet site about the records for distance and time aloft (time in the air) for paper airplanes. The record for distance, 226 feet 10 inches, was set in California in 2012. The record for time in the air, 29.2 seconds, was set in 2010 in Japan.

The magazine article also gave the requirements for hosting a contest that would have two events. The first event is a competition to find which paper airplane flies the longest distance, and the second event is a competition to find which paper airplane stays in the air the longest amount of time. Jenna asked her teacher if her class could host a paper airplane contest with the two events, and the teacher agreed. Rosa and Alex helped Jenna make posters announcing the contest.

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Rosa found a book with patterns for paper airplanes using a standard 8.5-by-11-inch sheet of paper. The three friends tried several different patterns. One of the patterns Alex chose is shown in this figure.

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Jenna, Alex, and Rosa practiced with their paper airplanes and recorded the time and distance for each paper airplane. Each person chose one paper airplane that flew further than the others to compete in the distance competition. This table shows the best distances for the paper airplanes they chose for distance.

Each friend also chose a plane that stayed in the air longer than the others for the time aloft competition. This table shows the best times for the paper airplanes they chose for time aloft.

The day of the contest finally arrived, and 12 students had entered the contest. The distance competition was first, and Rosa’s plane won when her paper airplane flew 50% farther than the mean of the three best distances in the table of practice distances. The winner of the time aloft competition was Alex's paper airplane, which stayed in the air 3 seconds longer than the mean of the three best times in the table of practice times.

The students all agreed that the paper airplane contest was a big success. Alex has some ideas for new patterns for paper airplanes that will fly farther, and Rosa wants a paper airplane that will stay in the air longer for the contest next year.

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1.

Read "Paper Airplane Contest" and answer the question.

More than 20 sheets of paper were used in the paper airplane contest.

Which inequality describes the maximum number of competitors, x, who used only one sheet of paper?

/files/assess_files/648c388b-0584-4bab-9168-d4fc81968093/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf

FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf

A.

B.

C.

D.

Read the following and answer the questions below:

Going to a Baseball Game

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Going to a Baseball Game

Chris is a big fan of the baseball team in the city where she lives, and she loves to go to the games with her family. Chris and her dad are planning a trip to a game for four people. He asked her to determine how much it will cost for their tickets and snacks at the game. Chris’s dad thinks they may go to several games this year.

They chose the section of the park where they wanted to sit, and Chris found the prices for seats in that section. She found three ways to buy the tickets.

Individual game tickets for the section they chose are $30 per ticket. The cost of a 21-game package of tickets for one seat in their section

is $20 per game. A package of 10 tickets costs $200, and they can be used in any

combination of single tickets per game or multiple tickets per game in their section.

Chris thinks they will each want a hot dog and a soft drink, and two people can share a bag of peanuts. This table shows the cost of those items at the game.

FOOD COSTSFood Item CostHot dog $6.00Soft drink $4.50Peanuts $5.00

An additional cost will be the $20 charge at the parking lot.

2.

Read "Going to a Baseball Game" and answer the question.

Chris's dad decided they will purchase individual game tickets this season. Chris wants to keep her annual spending limit at or below $1,000 for this expense. Which inequality can be used to find x, the number of games Chris can anticipate attending this season if she is including the cost for four people? Assume each person has a hot dog, a soft drink, and they all share two bags of peanuts at each game.

/files/assess_files/6b2afbc0-9119-4f6c-a397-69a6f36b7e5f/formula_sheets/FL-

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IBTP_Math_Reference_Sheet_Grade_9-12.pdf


A.

B.

C.

D.

3. Benijah is making a quilt with two types of squares: striped and checkered. Originally 60% of a total of 40 squares were to be checkered. Now he's added checkered squares to the total so that the percentage of checkered squares is 68% of the new total. Which equation can be used to determine c, the number of additional checkered squares required?

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A.

B.

C.

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D.

4. Naomi can unload a car in 24 minutes, and Ronald can do the same job in 21 minutes. Which equation can be used to determine how long it would take Naomi and Ronald to unload the car if they worked together? Let t represent the time in minutes.

A.

B.

C.

D.

5.Juan received 570 votes in a school election. If he received 216 less than of the total number of votes, how many students voted in the election?

A. 524

B. 531

C. 786

D. 1179

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6. A computer repairman charges $50 to come to a home or office, plus $30 per hour of work. During one week, he visits 12 homes or offices earning $1,800. How many hours did the repairman work?

A. 22 hours

B. 40 hours

C. 42 hours

D. 58 hours

7. How many ounces of a 40% silver nitrate solution must be mixed with 8 ounces of a 15% silver nitrate solution to make a 30% solution?

A. 20

B. 12

C. 6.8

D. 2.4

8. An aircraft will travel a total distance of 6000 miles. The first part of the trip takes two hours, and the aircraft’s average speed is 700 miles per hour. If the entire trip takes 12 hours, what is the aircraft’s average speed, in miles per hour, during the second part of the trip?

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A. 383

B. 442

C. 460

D. 530

9. If 6 more than 5 times a number is 41, what is the number?

A.

B.

C. 7

D.

10. Miguel can paint a room in 7 hours. Nick can paint the same room in 5 hours. Working together, it takes t hours to paint the room. Which equation can be used to find the value of t?

A.

B.

C.

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D.

11. If 18 more than 3 times a number is −27, what is the number?

A.

B.

C.

D.

12. The four defensive linemen on a football team compared their weights as follows: Danny weighs 15 pounds more than Ben. Sam is 20% heavier than Danny. Anthony weighs 215 pounds, which is 10 pounds less than Ben. How many pounds does Sam weigh?

A. 225

B. 240

C. 264

D. 288

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13. Amy has $725 in savings. She plans to save an additional $25 per month. What is the number of additional months Amy will need to save money in order to have exactly $1,000?

A. 11

B. 29

C. 40

D. 69

14. The total number of students who could attend a field trip is represented by the variable t. The number of students in Group A is less than the number in Group

B. Group A has 6 students more than the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?

A.

B.

C.

D.

15. John has 40 milliliters of a 20% solution of ferrous sulfide. He wants a 30%

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solution. How many milliliters of a 50% solution should John add to obtain the required 30% solution?

A. 1.2

B. 8

C. 20

D. 60

16. A number n plus 5 is at least 11 and no more than 12. What are the values of n that satisfy these conditions?

A.

B.

C.

D.

17. Machine A produces 500 items per hour. Machine B produces 400 items per hour. Working together, the two machines produce 2250 items in t hours. Which equation can be used to find the value of t?

A.

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B.

C.

D.

18. Pedro and Carmela are cleaning their kitchen. It takes Pedro 3 hours to clean the kitchen by himself, while Carmela can clean the kitchen in 2 hours. Which equation can be used to calculate how long it will take them to clean the kitchen if they work together?

A.

B.

C.

D.

19. Dave and Steve are 700 meters apart from each other on a straight path. Both start walking toward each other and meet each other after 7 minutes. Dave covers a distance of x meters in one minute, which is 20 meters less than the distance Steve covers in a minute. Which of these equations can be used to find the rate at which Steve and Dave walk?

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A.

B.

C.

D.

20. A crane operator takes 45 hours to unload a ship. Another crane operator can do the same job in 30 hours. How long, in hours, will it take them working together to unload a ship?

A. 37.5

B. 18

C. 15

D. 7.5


A.

B.

C.

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D.

22. The fuel mixture for a lawnmower is 3 parts gasoline and 1 part oil. A container has 2 gallons of a mixture consisting of 50% gasoline and 50% oil. If Sandra wants to use this mixture for her lawnmower, how many gallons of gasoline must she add to the container so the ratio of gasoline to oil is correct?

A. 1.0

B. 1.5

C. 2.0

D. 2.5

23. It takes 3 hours for a boat to travel upstream against the current and 1.8 hours to travel the same distance downstream with the current. What is the speed of the boat in still water if the speed of the current is 3 mph?

/files/assess_files/25073604-acd2-44b8-b807-9a1f57e762ec/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf


A. 4.5 mph

B. 7.5 mph

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C. 12 mph

D. 15 mph

24. A car rental company charges $45.95 per day, plus $0.35 per mile. Rachel rented a car for two days and was charged $117.10. How many miles did Rachel drive the car?

A. 25 miles

B. 72 miles

C. 117 miles

D. 203 miles

25. Tom can fill an ice cream order in 5 minutes. Nancy can fill the same order in 8 minutes. How long, in minutes, would it take Tom and Nancy to fill the ice cream order if they worked together?

A.

B.

C.

D.

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26. If 21 more than 3 times a number is , what is the number?

A.

B.

C.

D.

27. The length of each side of a square is increased by 2 inches. The perimeter of the original square is ten inches more than the length of one side of the larger square. What is the length, in inches, of each side of the larger square?

A.

B.

C.

D.

28. How many ounces of pure chocolate must be added to 12 ounces of chocolate syrup that is 50% chocolate to make a syrup that is 75% chocolate?

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A. 6

B. 12

C. 15

D. 24

29. How many miles per hour is the river’s current if a motor boat traveling 20 miles per hour goes 29.6 miles upstream in the same amount of time that it takes it to go 50.4 miles downstream?

A. 5.2

B. 9.6

C. 20.0

D. 30.4

30. Marcus wants to exchange his American dollars to pesos before leaving on a trip to Mexico. A bank offers 13 pesos for each American dollar. The bank charges a service fee of $2.50 to exchange the money. Which equation models the number of pesos, y, that Marcus will receive for x American dollars after the service fee?

A.

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B.

C.

D.

31. Best Portraits charges $15 per session and $5 for each photo ordered. If Mrs. Liang’s total bill was $90, how many photos did she order?

A. 6

B. 15

C. 18

D. 21

32. Kayla wants to pack the same number of books in 6 boxes. However, when she does this, there are 4 books left over. She empties the 6th box and redistributes all of the extra books evenly by packing 4 extra books in each of the 5 remaining boxes. Which equation can be used to determine the number of books Kayla has?

A. 6x + 4 = 5x + 4

B. 6x = 5(x + 4) + 4

C. 6x – 4 = 5(x + 4)

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D. 6x + 4 = 5(x + 4)

33.Juan received 685 votes in a school election. If he received 125 more than of the total number of votes, how many students voted in the election?

A. 540

B. 810

C. 840

D. 1215

34.For which value of p is the reciprocal of 3?

A.

B.

C.

D.

35. A school purchases boxes of candy bars.

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Each box contains 50 candy bars. Each box costs $30.

How much does the school have to charge for each candy bar to make a profit of $10 per box?

A. $0.40

B. $0.50

C. $0.80

D. $1.25

36. When Antonio first joined the swim team, he swam the race in 8 minutes. But now he

can swim the race in that time. Henry swims the course in 4 minutes.

Let T be the difference between Henry’s current swim time and Antonio’s current swim time. Which equation below correctly solves for T, in seconds?

A.

B.

C.

D.

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37. An auto technician has 20 ounces of battery acid that is 55% acid. How many ounces of water must the technician add to make a solution that is 25% acid?

A. 24

B. 20

C. 8

D. 6

38. A container has 10 ounces of salt water containing 20% salt. Preston added 30 ounces of salt water containing 40% salt to the container. What percent of the mixture in the container is salt?

A. 35

B. 30

C. 24

D. 14

39. In a cross-country race, two bicyclists are traveling at different rates. Jana has cycled 210 miles and is traveling at a rate of 15.5 mph. Amina has only covered 153 miles, but is trying to catch up to Jana by traveling at a rate of

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18.5 mph. If they continue traveling at these rates, how far from the start will they be when Amina catches up to Jana?

A. 561.5 miles

B. 504.5 miles

C. 351.5 miles

D. 294.5 miles

40. Trapezoid PQRS is shown below.

What must be the value of x to prove that the length of the midsegment of a trapezoid is equal to half the sum of the base lengths?

A. 1

B. 2

C. 5

D. 7

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41. The population of a certain species grows exponentially with time. If the population increases by 40% every 1.5 years, how often does the population increase by 96%?

A. every 2.1 years

B. every 2.25 years

C. every 3 years

D. every 3.6 years

42. Erica, a sales clerk in a sporting goods store, earns a base salary of $1,500 per month plus a commission of 5 percent on monthly sales over $500. If Erica received $1,700 for the month of July, how much were her monthly sales?

A. $3,200

B. $3,700

C. $4,000

D. $4,500

43. José leaves Point A traveling due east at a constant speed of 35 miles per hour. After José has driven 22 miles, his sister Lupe leaves Point A traveling due east. At what constant rate of speed, in miles per hour, must Lupe drive at in order to catch up to José in 2 hours?

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A. 35

B. 46

C. 59

D. 70

44. John is saving to buy a television that costs $1,250. John currently has $200 saved. He plans to save an additional $50 each week. How many weeks will it take John to have $1,250 saved?

A. 6 weeks

B. 8 weeks

C. 19 weeks

D. 21 weeks

45. A pitcher contains 20 ounces of fruit punch that is 70% grape juice. How many ounces of water must be added to make a fruit punch that is 40% grape juice?

A. 20

B. 15

C. 10

D. 6

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46. A water pump can fill a tank in 6 hours. A different pump can fill the same tank in 3 hours. Working together, how many hours will it take both pumps to fill the tank?

A.

B. 2

C. 3

D.

47. How many cups of a snack mix containing 30% granola should be combined with 4 cups of a snack mix containing 75% granola to get a mixture that contains 40% granola?

A. 3

B. 8

C. 14

D. 24

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48. The base of an isosceles triangle is x units. The sum of the lengths of the other two sides is one unit less than the length of the base. If the perimeter of the triangle is 67 units or less, which inequality describes all possible lengths of the base?

A.

B.

C.

D.

49. The perimeter of a rectangular garden is 150 feet. The length is 20 feet longer than the width, w. Which equation can be used to calculate the length and the width of the garden?

A.

B.

C.

D.

50. A copy service has a contract to produce a large copy job. Copier A can do the job in 4 hours, and copier B can do the job in 3 hours. How many hours would it take to do the entire job if both copiers are used?

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A.

B.

C.

D.

51. Yvette took 3 history tests. She earned grades of 87 and 92 on the first 2 tests. Her mean (average) grade for the 3 tests was 90. Which of the following equations can be used to determine her grade G on the 3rd test?

A.

B.

C.

D.

52. Sam deposited $200 into a savings account that pays 4% interest compounded monthly. Approximately how long will it take for the deposit to be worth $220?

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A. 2 months

B. 3 months

C. 28 months

D. 29 months

53. Mr. Singh’s students sold 1005 boxes of cookies, which was 45 less than 5 times the number of boxes sold by Ms. Graham’s students. How many boxes of cookies did Ms. Graham’s students sell?

A. 156

B. 192

C. 201

D. 210

54. Stella, Roberto and Candace are putting together small model kits. Stella can put a kit together in 45 minutes, while it takes Roberto 36 minutes. When all three of them work together, they can complete a kit in 12 minutes. Which equation can be used to calculate how long it will take Candace to put a kit together if she works alone?

A.

B.

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C.

D.

55. The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?

A. 19 feet

B. 18 feet

C. 17 feet

D. 16 feet

56. How many ounces of a 40% hydrochloric acid solution must be mixed with 12.0 ounces of a 15% hydrochloric acid solution to make a 30% solution?

A. 3.6

B. 10.2

C. 18.0

D. 30.0

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57. Ron can rake and bag the leaves in his backyard in 3 hours, while his brother Mark can do the same job in 5 hours. How many hours will it take them to rake and bag the leaves in their backyard if they work together?

A.

B.

C.

D.

58. Jose’s batting average is 0.250 after 160 times at bat, which means he made a hit 40 of the times he was at bat. He wants to improve his batting average to 0.333. If he makes a hit the next x times at bat, which equation can be used to calculate the number of hits needed to obtain this improved batting average?

A.

B.

C.

D.

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59. A rectangular playground has a perimeter of 180 feet. If the width of the playground is 24 feet less than the length, what is the width, in feet, of the playground?

A. 27

B. 33

C. 51

D. 57

60. A botanist predicts that the height of a certain tree will increase by 2% every year. If the height of the tree is now 50 feet, what is its predicted height 2 years from now?

A. 50.04 feet

B. 51 feet

C. 52 feet

D. 52.02 feet

61. If an airplane, flying at a constant speed of 180 miles per hour, flies 210 miles in 1.5 hours upwind, how many hours will it take to fly 572 miles downwind?

A. 2.6

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B. 3.2

C. 4.1

D. 4.8

62. How many grams of a 15 percent alcohol solution should be mixed with 40 grams of a 30 percent solution to obtain a solution that is 25 percent alcohol?

A. 10

B. 15

C. 20

D. 25

63. Train A left Miami at 5 p.m. heading towards Stuart at the constant rate of 30 miles per hour. At the same time, Train B left Stuart heading towards Miami at the constant rate of 10 miles per hour. The trains traveled on separate, parallel tracks for the 90 miles that separate the two cities. What time did the trains pass each other?

A. 5:40 p.m.

B. 6:30 p.m.

C. 7:15 p.m.

D. 7:45 p.m.

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64. Albert invested $2500 in two different accounts, A and B, for 4 years. In four years, the amount he earns at an interest rate of 4.5%, compounded annually, from account A is $150 less than the amount he earns from account B. What is the approximate annual interest rate of account B?

/files/assess_files/0cc7d5ae-5b92-4f12-b449-ec372504cf25/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf


A. 3.15%

B. 3.5%

C. 5.8%

D. 6.75%

65. Twice a number added to four is the same as one subtracted from the number. What is the number?

A. –6

B. –5

C. –3

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D. –1

66. How many ounces of pure alcohol must be added to 10 ounces of an alcohol solution that is 60% alcohol to make a solution that is 80% alcohol?

A. 20

B. 14

C. 10

D. 5

67. David can install a fence in 6 days. Elise can install the same fence in 3 days. How long, in days, will it take David and Elise to install the fence if they work together?

A.

B. 2

C. 4

D.

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68. A swimming pool has two drain outlets. One of the outlets empties the pool in 8 hours, and the other empties it in 7 hours. If both drain outlets are used, how many hours will it take to empty the pool?

A. 1

B.

C.

D. 15

69. If 29 more than 2 times a number is what is the number?

A.

B.

C. 7

D. 22

70. A plumber can install the pipes in a bathroom in 4 hours. A different plumber needs 5 hours to do the same job. If both plumbers work together, how many hours will it take to install the pipes?

A.

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B.

C.

D.

71. A container has 20 ounces of liquid fertilizer containing 50% nitrogen. Karen added 10 ounces of liquid fertilizer containing 20% nitrogen to the container. What percent of the mixture in the container is nitrogen?

A. 12

B. 21

C. 35

D. 40

72. Ron can rake and bag leaves in 3 hours, while his brother, Mark, can do the same job in 2 hours. How long will it take them to rake and bag the leaves if they work together?

A.

B.

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C.

D.

73. A rectangle has a perimeter of 52 inches. The length of the rectangle is 4 inches more than its width. What is the length of the rectangle?

A. 11

inches

B. 13

inches

C. 15

inches

D. 19

inches

74. Robert and Dustin agree to share the cost of buying a computer that costs $1750. If Robert agrees to pay $450 more than Dustin, what is the amount that Dustin will pay?

A. $425

B. $650

C. $875

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D. $1100

75. Which of the following equations represents the statement below?

A number m increased by 23 is equal to15 more than twice the number m.

A.

B.

C.

D.


A.

B.

C.

D.

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77. The lengths of the sides of triangle PQR are consecutive even integers. The perimeter of triangle PQR is 42 cm. What is the length of the longest side?

A. 14 cm

B. 16 cm

C. 18 cm

D. 20 cm

78. A pitcher holds 20 ounces of punch containing 40% orange juice. Raymond added 30 ounces of punch containing 30% orange juice. What percent of the mixture is orange juice?

A. 15

B. 17

C. 34

D. 35

79. How many milliliters of a 40% silver nitrate solution must be mixed with 20.0 milliliters of a 25% silver nitrate solution to make a 34% solution?

A. 50.0

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B. 30.0

C. 19.8

D. 6.8

80. How many milliliters of a 20% silver nitrate solution must be mixed with 10 milliliters of a 40% silver nitrate solution to make a 28% solution?

A. 25

B. 15

C. 8.8

D. 2.8

81. Naomi can unload a truck in 17 hours and Ronald can do the same job in 16 hours. Which equation can be used to determine how long it would take Naomi and Ronald to unload the truck if they worked together? Let t represent the time in hours.

A.

B.

C.

D.

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82. A container has 10 ounces of mixed nuts containing 40% peanuts. Roberto added 30 ounces of mixed nuts containing 20% peanuts to the container. What percent of the mixture in the container is peanuts?

A. 10

B. 24

C. 25

D. 30

83. A jewelry maker is designing a crown. The crown must have at least 45 gems, using only emeralds, rubies, and diamonds. The number of rubies must be 1 less than 3 times the number of emeralds. The number of diamonds must be 4 less than the number of rubies. Which inequality could the jewelry maker use to find the fewest number of emeralds, x, that can be placed on the crown?

/files/assess_files/075f6e79-565c-469a-abfc-bfaa1f753ae0/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf


A.

B.

C.

D.

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84. A container has 15 ounces of mixed nuts containing 40% peanuts. Preston added 10 ounces of mixed nuts containing 20% peanuts to the container. What percent of the mixture in the container is peanuts?

A. 8

B. 15

C. 30

D. 32

85. A rectangle has a length of x and a width of Is a perimeter of a reasonable answer?

A.

B.

C.

D.

86. How many ounces of pure silver must be added to 10 ounces of a silver alloy that is 50% silver to make an alloy that is 80% silver?

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A. 5

B. 13

C. 15

D. 25

87. Two printing presses running at the same time need 6 hours to print a weekly magazine. Working alone, the faster press does the job in 8 hours. How many hours are needed for the slower press to do the same job?

A. 10

B. 14

C. 24

D. 48

88. In a murky lake, the intensity of light is reduced by 5% for every meter that the light travels below the surface of the water. What percent of the original light intensity remains at a depth of 2 meters below the surface?

A. 90.25%

B. 47.5%

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C. 25%

D. 0.25%

89. How many milliliters of a 25% sodium chloride solution must be mixed with 12.0 milliliters of a 10% sodium chloride solution to make a 13% solution?

A. 15.0

B. 5.8

C. 3.0

D. 1.6

90. Tina wants to save $100. She saves $0.01 on day 1, $0.02 on day 2, and $0.04 on day 3. If the amount of money that Tina saves each day continues to follow this pattern, on what day will she first have saved a total of $100.00 or more?

A. 15

B. 14

C. 8

D. 7

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91. The length of a rectangular flowerbed is 5 feet more than the width. If the area of the flowerbed is 300 square feet, what is the length, in feet?

A. 10

B. 15

C. 20

D. 30

92. A plumber charges a fixed rate of $40 per job plus $10 for each hour, h, that he works at the job. Which equation models the total amount the plumber charges, y, if he works h hours?

A. y =

30h

B. y =

50h

C. y = 10h + 40

D. y = 40h + 10

93. Vickie went walking on a trail, averaging 6 kilometers per hour. One hour later, Randy left on his motorcycle to find her, traveling at a speed of 30 kilometers per hour. How far down the trail were they when Randy found Vickie?

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A. 5.0 kilometers

B. 7.5 kilometers

C. 15.0 kilometers

D. 37.5 kilometers

94. Mr. Hamilton is placing a support plank along the diagonal of a gate. The height of the gate is 5 feet, and the diagonal is 1 foot longer than the width of the gate, as shown below.

What is the width, in feet, of the gate?

A. 3

B. 6

C. 12

D. 24

95. A motorboat takes 4 hours to travel 40 miles upstream against a current of 10 miles per hour. How many hours will it take the boat to return 40 miles

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downstream if the average rate of the boat does not change?

A.

B.

C.

D. 2

96. Scott can install a fence in 2 days. Dave can install the same fence in 7 days. How long, in days, would it take Scott and Dave to install the fence if they worked together?

A.

B.

C.

D.

97. Terry can replace a transmission in a car in 22 hours and Dan can do the same job in 19 hours. Which equation can be used to determine how long it would take Terry and Dan to replace the transmission in a car if they worked together? Let t represent the

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time in hours.

A.

B.

C.

D.

98. At Jessica’s school, students can buy scientific calculators for $15.00 each. Graphing calculators cost 5 times that amount. If $345.00 worth of calculators were sold and 3 of those were graphing calculators, how many scientific calculators were sold?

A. 4

B. 8

C. 22

D. 120

99. How many grams of a 20% hydrochloric acid solution must be mixed with 4.0 grams of a 40% hydrochloric acid solution to make a 36% solution?

A. 1.0

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B. 1.4

C. 3.8

D. 5.0

100.

A truck driver drove 80 miles per hour for the first 30 minutes of a 2-hour trip. His average (mean) speed for the entire trip was 75 miles per hour. Which equation can be used to determine his speed, s, for the remaining part of the trip?

A.

B.

C.

D.

101.

How many grams of a 20% sulfuric acid solution must be mixed with 8.0 grams of a 10% sulfuric acid solution to make a 16% solution?

A. 1.3

B. 3.7

C. 12.0

D. 20.0

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102.

A new homeowner needs to determine the length of his rectangular backyard before he goes to the store for fencing. He knows that the area of the yard is 51 square meters and that the width is 5.2 meters longer than the length. Which equation could be solved to determine the dimensions of the backyard, where the length is l and the width is w?

/files/assess_files/059ca7e8-1ad2-4d40-a0a6-d8f957fe846b/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf


A.

B.

C.

D.

103.

Kiesha can install a fence in 3 days. Robert can install the same fence in 8 days. How long, in days, would it take Kiesha and Robert to install the fence if they worked together?

A.

B.

C.

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D.

104.

Twice a number x minus 4 is at least 10 and no more than 12. What are the values of x that satisfy these conditions?

A.

B.

C.

D.

105.

Charles invests $425 in a savings account that pays interest at an annual rate of 4 percent, compounded continuously. Approximately how much time will it take for his investment to double?

A. 8 years

B. 12 years

C. 17 years

D. 25 years

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106.

Julie has $48 to spend at a carnival. The carnival charges $8 for admission and $5 per ride. What is the maximum number of rides Julie can go on?

A. 3

B. 4

C. 8

D. 9

107. In the triangle below, m∠X = 4x – 10 and m∠Y = 2x.

What is the measure of ∠Z?

A. 20°

B. 30°

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C. 40°

D. 70°

108.

How many milliliters of a 20% hydrochloric acid solution must be mixed with 20 milliliters of a 15% hydrochloric acid solution to make a 18% solution?

A. 3.6

B. 10.6

C. 30

D. 50

109.

A secretary takes 60 minutes to type a report. Another secretary can do the same job in 40 minutes. How long, in minutes, will it take them working together to type a report?

A. 50

B. 24

C. 20

D. 10

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110.

The sum of three consecutive even integers is 78. What is the value of the smallest of the three integers?

A. 20

B. 22

C. 24

D. 26

111.

In triangle XYZ, m∠Y is 3 times larger than the m∠X. The exterior angle at Z measures 120°. What is the m∠X?

A. 90°

B. 60°

C. 50°

D. 30°

112.

Star Cellular has several phone plans to choose from. The $39 monthly service plan allows 500 anytime minutes and charges 40 cents for each additional minute. What is the cost for one month of service using 550 minutes, before any tax is added?

A. $59.00

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B. $59.50

C. $89.00

D. $259.00

113.

Gregory brought 11 pumpkins to school for a pumpkin-carving contest. Each pumpkin weighed at least 4 pounds after being carved, and the combined weight of the

carved pumpkins was 50 pounds. The first pumpkin carved weighed pounds. What was the greatest possible weight, in ounces, of the second carved pumpkin?

A. 72 ounces

B. 136 ounces

C. 184 ounces

D. 248 ounces

114.

How many grams of a 30% compound of copper sulfate must be combined with 15 grams of a 60% compound of copper sulfate to produce a compound that is 50% copper sulfate?

A. 1.4

B. 2.1

C. 6.8

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D. 7.5

115.

The sum of three consecutive integers is 51. What is the value of the largest integer?

A. 16

B. 17

C. 18

D. 19

116.

A jar contained 30 ounces of mixed nuts that were 40% peanuts. Preston added 10 ounces of mixed nuts containing 20% peanuts to the jar. What percent of the mixture in the jar is peanuts?

A. 14

B. 24

C. 30

D. 35

117.

If 2x is the opposite of 3, what is the value of x?

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A.

B.

C.

D.

118.

The sale price of a jacket is between $48 and $54. The jacket is about to be discounted by 8% to 10%. Which inequality gives the range of possible values for the new price p?

A.

B.

C.

D.

119.

A copier was purchased for $12,000. Its value each year is 75% of what it was the preceding year. How long, to the nearest tenth of a year, will it take for the copier’s value to be reduced to one half of its original cost?

A. 0.4

B. 0.7

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C. 1.5

D. 2.4

120.

Jeremy can paint a room in 20 hours and Kahleed can do the same job in 17 hours. Which equation can be used to determine how long it would take Jeremy and Kahleed to paint the room if they worked together? Let t represent the time in hours.

A.

B.

C.

D.


A.

B.

C.

D.

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122.

An auto technician has 12 ounces of battery acid that is 75% acid. How many ounces of water must the technician add to make a solution that is 25% acid?

A. 6

B. 8

C. 12

D. 24

123.

A chemist has 24 liters of an acid solution that is 65% acid. How many liters of water must the chemist add to make a solution that is 40% acid?

A. 6

B. 10

C. 15

D. 24

124.

The length of a rectangular garden is 3 times the width, w. The perimeter of the garden is 100 feet. Which of the following equations can be used to find the width of the garden, in feet?

A. 3w = 100

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B. 4w = 100

C. 6w = 100

D. 8w = 100

125.

How many liters of a 15% sugar solution must be mixed with 5 liters of a 20% sugar solution to make a 16% sugar solution?

A. 2

B. 10

C. 20

D. 100

126.

Which of the following represents the statement below?

Five times a number x is 3 more than x.

A. 5x = x + 3

B. 5x > x + 3

C. 5x + 3 = x

D. 5x + 3 >

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x

127.

The cost to rent a truck for a day is $42.95, plus $0.18 per mile. How many miles did George drive the truck if he paid $54.11 to rent the truck?

A. 54 miles

B. 62 miles

C. 97 miles

D. 239 miles

128.

Mandy and Karen paint houses. Mandy takes 40 hours to paint a certain house. Karen takes 60 hours to paint a house of similar size. If they work together, how many hours will it take them to paint one house?

A. 20

B. 24

C. 48

D. 50

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129.

The ratio of the fuel mixture for a lawnmower is 4 parts gasoline to 1 part oil. A container has 5 gallons of a mixture consisting of 50% gas and 50% oil. If Sandra wants to use this mixture for her lawnmower, how many gallons of gasoline must she add to the container in order for the ratio of gasoline to oil to be correct?

A. 2.0

B. 2.5

C. 7.5

D. 9.0

130.

If 18 more than 2 times a number is what is the number?

A.

B.

C.

D.

131. Juan received 236 votes in a school election. If he received 130 more than of the total

number of votes, how many students voted in the election?

A.

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B.

C.

D.

132.

How many grams of a 25% sulfuric acid solution must be mixed with 4.0 grams of a 35% sulfuric acid solution to make a 29% solution?

A. 10.0

B. 6.0

C. 3.6

D. 1.2

133.

Amelia ran a total of 60 miles in the first 3 months of her new running program. She ran equal distances in the first and second months, but ran twice that distance in the third month. How far did she run in the third month?

A. 15 miles

B. 20 miles

C. 30 miles

D. 40 miles

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134.

A restaurant’s milk shake sales over 5 days are shown in the chart below.

Milk Shake Sales

Day Number ofMilk Shakes

Monday 35 Tuesday x Wednesday 32 Thursday 62 Friday 73

If the mean (average) number of milk shakes sold in these 5 days was 50, how many milk shakes were sold on Tuesday?

A. 40

B. 43

C. 45

D. 48

135.

The amount of a radioactive substance decreases by 50% every 2.5 days. Right now the amount of substance is 600 grams. How many grams of the substance will remain 5 days from now?

A. 192

B. 150

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C. 96

D. 48

136.

Rocio leaves point A traveling due east at 40 miles per hour. At the same moment, Li leaves point A traveling due west at 50 miles per hour. After how many hours will they be 405 miles apart?

A.

B.

C.

D.

137.

Jorge put $500 into a savings account that earns 2% compounded interest annually. So after the first year, he will have $510, after the second year, he will have $520.20, and after the third year, he will have $530.60. If he does not deposit any more money, how many years will it take until Jorge has over $600 in his account?

A. 11

B. 10

C. 9

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D. 8

138.

How many ounces of pure gold must be added to 10 ounces of a gold alloy that is 30% gold to make an alloy that is 50% gold?

A. 4

B. 5

C. 8

D. 14

139.

Airplane A left Tampa at 6:00 a.m., flying due west at a speed of 850 kilometers per hour (kph). Airplane B left at 7:30 a.m., flying in the opposite direction at 900 kph.

At what time, to the nearest minute, will Plane A and Plane B be 4250 kilometers apart?

A. 8:26 a.m.

B. 9:09 a.m.

C. 9:12 a.m.

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D. 10:42 a.m.


A. 5

B. 2

C.

D.

141.

How many ounces of pure chocolate must be added to 8 ounces of chocolate syrup that is 50% chocolate to make a syrup that is 75% chocolate?

A. 16

B. 10

C. 8

D. 4

142.

Duwayne can build a fence in 4 days. If he works with Mario, they can build the fence

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in the time Mario takes to build the fence when working alone. How many days would Mario take to build the fence alone?

A.

B.

C.

D.

143.

A baseball team won 40% of its first 30 games. The team then won 65% of its next 60 games. Approximately what percent of the games did the team win?

A.

B.

C.

D.

144.

Two liquids have densities of 1.4 kilograms per liter and 0.6 kilograms per liter. A 1.2-liter mixture of these two liquids has an overall density of 0.84 kilograms per liter. How much of the 1.4-kilogram-per-liter density liquid is in the mixture?

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A. 0.150 liters

B. 0.360 liters

C. 0.864 liters

D. 0.920 liters

145.

Container A contains 5 liters of a 2% salt solution. Container B contains 10 liters of a 5% salt solution. If the solutions are combined, what percent of the solution is salt?

A. 3

B. 3.5

C. 4

D. 4.5

146.

The length of each side of a square is increased by 4 inches. The perimeter of the original square is ten inches greater than the length of one side of the larger square. What is the length, in inches, of each side of the larger square?

A.

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B.

C.

D.

147.

How many ounces of pure chocolate must be added to 12 ounces of chocolate syrup that is 30% chocolate to make a syrup that is 70% chocolate?

A. 6

B. 12

C. 16

D. 28

148.

The school store collected $12.00 from selling pencils and a total of $42.00 from selling pencils and pens. If pens cost $0.75 each, how many were sold?

A. 16

B. 40

C. 56

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D. 72

149.

Mandy and Karen paint houses. Mandy takes 30 hours to paint a certain house. Karen takes 50 hours to paint a house of the same size. If they work together, how many hours will it take them to paint one house?

A.

B.

C.

D.

150.

Thuy can paint a room in 24 hours and Jesse can do the same job in 15 hours. Which equation can be used to determine how long it would take Thuy and Jesse to paint the room if they worked together? Let t represent the time in hours.

A.

B.

C.

D.

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151.

A container has 20 ounces of punch containing 20% apple juice. Roberto added 10 ounces of punch containing 50% apple juice to the container. What percent of the mixture in the container is apple juice?

A. 9

B. 21

C. 30

D. 35

152.

The amount of a certain radioactive substance decays exponentially with time. If the amount decreases by 64% every year, then the amount decreases by what percent every 6 months?

A. 8%

B. 20%

C. 32%

D. 40%

153.

Madison can stuff 1000 envelopes in 8 hours. Working together, Madison and Kim can stuff 1000 envelopes in 3 hours. How many hours would Kim take to stuff 1000 envelopes if working alone?

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A.

B.

C.

D.

154.

How many milliliters of a 20% acid solution should Paul mix with a 60% acid solution to make 100 milliliters of a 50% acid solution?

A. 25

B. 33.3

C. 50

D. 62.5

155.

The height of a triangular road sign is 1 inch shorter than twice its base. If the area of the sign is 60 in.2, which equation could be used to find the base (b) of the sign?

A.

B.

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C.

D.

156.

How many milliliters of a 30% sulfuric acid solution must be mixed with 12.0 milliliters of a 15% sulfuric acid solution to make a 26% solution?

A. 3.1

B. 8.5

C. 33.0

D. 45.0

157.

The difference in the measures of two supplementary angles is 76°. What is the measure of the smaller angle?

A. 14°

B. 22°

C. 28°

D. 52°

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158.

Allison and Jeff left a family reunion at the same time. Both are driving back to Sacramento along the same route. During the next 3 hours, Jeff’s average rate is 47 miles per hour, and Allison’s average rate is 39 miles per hour. How many miles apart will they be after 3 hours?

A. 24

B. 29

C. 129

D. 258

159.

Michael earns $900 per month, plus 5% commission on all his sales over $750. What is the minimum amount of sales Michael must have to earn at least $2,500 in a month?

A. $17,000

B. $17,750

C. $32,000

D. $32,750

160.

Mocha Madness is made of chocolate syrup, milk, and coffee. Mocha Madness is 20% chocolate syrup, 30% milk, and contains 5 fluid ounces of coffee. How many fluid

ounces of coffee should be added to Mocha Madness to make a drink that is coffee?

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A.

B.

C.

D.

161.

The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?

A. 1124

B. 1191

C. 1240

D. 1263

162.

Rebecca and John worked a total of 25 hours last week. If Rebecca worked R hours and John worked 5 hours less than Rebecca, which of the following equations represents the situation?

A.

B.

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C.

D.

163.

How many ounces of pure chocolate must be added to 10 ounces of a chocolate syrup that is 30% chocolate to make a syrup that is 80% chocolate?

A. 5

B. 11

C. 25

D. 35

164.

Two trains left a station at the same time traveling in opposite directions. The northbound train traveled at an average rate of 50 miles per hour (mph). The southbound train traveled at an average rate of 40 mph. After how many hours will the trains be 225 miles apart?

A.

B.

C.

D.

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165.

Terrence and Quentin picked apples. Terrence picked 3 times as many pounds of apples as Quentin. Together they picked 28 pounds of apples. How many pounds of apples did Terrence pick?

A. 7 pounds

B. 9 pounds

C. 19 pounds

D. 21 pounds

166.

Kevin can type a report in 4 hours. Renee can type the same report in 3 hours. How long, in hours, will it take Kevin and Renee to type the report if they work together?

A.

B.

C.

D.

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167.

How many cups of a drink that contains 10% fruit juice should Taylor mix with 6 cups of 100% fruit juice to make a drink that is 25% fruit juice?

A. 17

B. 30

C. 40

D. 50

168.

John and Mike plan to clean the sidewalk in front of a local store. John can clean the sidewalk in 2 hours and Mike can clean it in 3 hours. How long would it take them to clean the sidewalk if they work together?

A. 1.2 hours

B. 1.5 hours

C. 2.5 hours

D. 5.0 hours

169.

The length of a vine is predicted to increase by 3 feet each week. The vine is currently 12 feet. In how many weeks will the vine reach a predicted length of 33 feet?

A. 3

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B. 4

C. 7

D. 11

170.

Ryan can fill an ice cream order in 4 minutes. Sandra can fill the same order in 7 minutes. How long, in minutes, would it take Ryan and Sandra to fill the ice cream order if they worked together?

A.

B.

C.

D.

171.

Justin can type a report in 2 hours. Sarah can type the same report in 5 hours. How long, in hours, would it take Justin and Sarah to type the report if they worked together?

A.

B.

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C.

D.

172.

A container has 10 ounces of salt water containing 20% salt. John added 20 ounces of salt water containing 50% salt to the container. What percent of the mixture in the container is salt?

A. 40

B. 35

C. 21

D. 12

173.

Martha wants to buy a new bike that costs $79, including tax. She currently has $15 saved. She began a dog walking business to earn the remaining money needed to buy the bike. She charges $5 for each dog she walks. What is the fewest number of dogs that Martha needs to walk to have enough money to buy the bike?

A. 12

B. 13

C. 18

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D. 19

174.

On a trip to Tallahassee, Andrew left at 10:30 a.m. and arrived at 6:00 p.m. He traveled for part of the time at 55 miles per hour (mph) and the rest of the time at 65 mph. If Andrew’s average (mean) speed for the trip was 62 mph, for how many hours did he travel at 65 mph?

A. 2.25 hours

B. 3.75 hours

C. 5.25 hours

D. 5.95 hours

175.

The width of a rectangle is 4 inches less than its length. The area of the rectangle is 45 square inches. What is the length of the rectangle?

A. 4 inches

B. 5 inches

C. 9 inches

D. 14 inches

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176.

Which equation shows that “three less than twice the sum of a number, and seven is four”?

A.

B.

C.

D.

177. If is the opposite of what is the value of x?

A.

B.

C.

D. 5

178.

Shane plans on finding a summer job so he can earn enough money to buy a new laptop that costs $595. He has already saved $150. If Shane finds a summer job that pays him $7.50 an hour after taxes are withheld, what is the minimum number of hours he will have to work in order to purchase the laptop?

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A. 80

B. 79

C. 60

D. 59

179.


A.

B.

C.

D.

180.

A store makes a 20-ounce cup of coffee that is 70% coffee. How many ounces of steamed milk must be added to make a cup of coffee that is 40% coffee?

A. 6

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B. 10

C. 15

D. 20

181.

How many ounces of pure alcohol must be added to 8 ounces of an alcohol solution that is 45% alcohol to make a solution that is 80% alcohol?

A. 4

B. 10

C. 14

D. 22

182.

The length of the top of a rectangular-shaped deck is 6 meters longer than its width. If the area of the top of the deck is 72 square meters, what is its length in meters?

A. 6

B. 12

C. 15

D. 21

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183.

How many ounces of pure silver must be added to 20 ounces of a silver alloy that is 30% silver to make an alloy that is 60% silver?

A. 10

B. 15

C. 18

D. 35

184.

The area of a rectangle is 84 square meters. The length of the rectangle is 5 meters longer than the width. What is the length, in meters, of the rectangle?

A. 4

B. 7

C. 12

D. 21

185.

John mixed cashews and almonds.

John bought 4 pounds of almonds for a total cost of $22. The cost per pound for cashews is 60% more than the cost per pound for

almonds. John bought enough cashews that when he mixed them with the almonds,

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the mixture had a value of $6.50 per pound.

Approximately

what percent of the mixture, by weight, was cashews?

A. 20%

B. 25%

C. 30%

D. 35%

186.

Mocha Madness is made of 15% chocolate syrup, 40% milk, and 9 fluid ounces of coffee. How many fluid ounces of coffee should be added to Mocha Madness to make a drink that is 50% coffee?

A. 1

B. 2

C. 4

D. 5

187.

A container has 15 ounces of punch containing 20% apple juice. Karen added 10 ounces of punch containing 40% apple juice to the container. What

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percent of the mixture in the container is apple juice?

A. 30

B. 28

C. 15

D. 7

188.

Mr. Sanchez invested $5000 in a college fund for his daughter. The college fund earns interest at an annual rate of 5%, compounded monthly. Approximately how much money will be in the fund in 15 years, if Mr. Sanchez does not make any deposits or withdrawals?

A. $5,203.71

B. $5,321.78

C. $10,394.64

D. $10,568.52

189.

A driver has to make a 170-mile trip. She drives nonstop at an average speed of 45 miles per hour. Which of the following equations could be used to find the time (t) it takes her to complete her trip?

A.

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B.

C.

D.

190.

The length of each side of a square is increased by 2 inches.

The perimeter of the original square is eight inches more than the length of one side of the larger square. What is the length, in inches, of each side of the larger square?

A. 2

B.

C.

D.

191.

How many ounces of a 15% sulfuric acid solution must be mixed with 10 ounces of a 35% sulfuric acid solution to make a 23% solution?

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A. 2.3

B. 7.3

C. 15

D. 25

192.

In a chemical reaction, the concentration of a certain solution decreases by 20% every 100 seconds. If the solution’s concentration is now 1 mole per liter, what will its concentration become 300 seconds from now, in moles per liter?

A. 0.008

B. 0.4

C. 0.512

D. 0.8

193. If is the reciprocal of what is the value of x?

A.

B.

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C.

D.

194.

Elaine and Nora plan to share the cost of buying a car that costs $2500. If Nora agrees to pay $250 more than Elaine, what is the amount that Elaine will pay?

A. $1000

B. $1125

C. $1250

D. $1375

195.

Malcolm is working on a math project. As part of the project he needs to find 5 cars whose gas mileage averages 22 miles per gallon (mpg). He has collected the data: 18 mpg, 19 mpg, 21 mpg, and 25 mpg for 4 cars. Which equation could he use to find the gas mileage on the fifth car?

A.gas

B. gas

C. gas

D. gas

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196.

A school band’s budget for next year will be at least $11,340 and at most $12,390. The band will set aside $420 for new music stands and $8,400 for travel and other expenses. They will use the rest to buy 42 new uniforms. Which inequality shows the range of possible values of x, the dollar amount the band can spend per uniform?

A.

B.

C.

D.

197.

Tranh has a total of 240 basketball cards. He has filled 3 identical albums and has 150 cards remaining. How many cards are in each album?

A. 30

B. 50

C. 80

D. 90

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198.

A number n plus 3 is at least 7 and no more than 11. What are all the values of n that satisfy these conditions?

A.

B.

C.

D.

199.

Simone can build a tree house in 15 hours. Working together, Simone and Tyrese can build a tree house in 7 hours. How many hours would Tyrese take to build the tree house working alone?

A.

B.

C.

D.

200.

Joe wants the perimeter of his rectangular garden to be, at most, 76 feet. He plans on making the length 22 feet. What is the maximum width of his garden?

A. 14 feet

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B. 16 feet

C. 19 feet

D. 27 feet

201.

At practice, Jaye ran a mile in 13 minutes and 45 seconds. She improved her time by 30 seconds at each track meet she ran in. How many track meets occurred before her time dropped below 9 minutes and 30 seconds?

A. 4

B. 7

C. 8

D. 9

202.

The difference of 8 less a number n, multiplied by twelve, is equal to 3 more than the number. Which of the following equations can be used to find the missing number?

A.

B.

C.

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D.

203.

An electronics store received two shipments of radios. Of the 250 radios in the first shipment, exactly 6% were damaged. In the second shipment, 4% of the radios were damaged. A total of 24 radios were damaged. How many radios in the combined shipments were not damaged?

A. 441

B. 451

C. 460

D. 466

204.

Greg has enough framing to enclose a rectangular photograph with a perimeter of 160 centimeters. If the width of his photograph is 16 centimeters less than the length, what is the width, in centimeters, of the photograph?

A. 28

B. 32

C. 44

D. 48

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205.

Kendra has been saving for a stereo. She has $105 saved and plans to save $20 per month until she can buy the stereo. If the stereo costs $345, how many more months will Kendra need to save so she can buy the stereo?

A. 10

B. 12

C. 17

D. 23

206.

Logan, a sales clerk in a book store, earns a base salary of $1,700 per month plus a commission of 5 percent on monthly sales over $600. If Logan received $2,100 for the month of July, how much were his monthly sales?

A. $3,800

B. $4,400

C. $8,000

D. $8,600

207.

Brenda keeps a supply of dimes and quarters in her car to pay for highway tolls. A week’s supply of toll coins contains x quarters and 50 dimes, for a total of $15.00. How many quarters does Brenda spend on highway tolls in one week?

A. 25

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B. 40

C. 80

D. 100

208.

A builder takes 75 days to build a house. Another builder can do the same job in 50 days. How long, in days, will it take them working together to build a house?

A. 12.5

B. 25

C. 30

D. 62.5

209.

Zoe spent $3200 for his new computer. The computer’s value will depreciate by 35% each year. How much will his computer be worth in 2 years?

/files/assess_files/df05be67-dd79-4d0f-ab79-27c2adf50fb9/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf


A. $392

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B. $960

C. $1,120

D. $1,352

210.

Matthew can paint a room in 3 hours, while Victoria can paint an identical room in 5 hours. How long will it take them to paint both rooms at their same rates working together?

A.

B.

C.

D.

211.

The Spanish club has a field trip to attend and the charter bus rental fee is $840. The club sponsor suggests that if the group can

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find 4 more students to attend, each student can pay $5 less. If they are able to find 4 additional students to go, which equation can be used to find the total number of students planning to attend the field trip?

A.

B.

C.

D.

212.

A bakery sells chocolate chip cookies and oatmeal cookies in

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packages of 12 each. On Saturday, the bakery sold half as many oatmeal cookies as chocolate chip cookies. If the total number of cookies sold on Saturday was 504, how many packages of chocolate chip cookies were sold?

A. 7

B. 14

C. 28

D. 42

213.

A machine shop has a fixed set-up cost of $2000 to produce new bolts.

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The cost of materials and labor to produce each individual bolt is $8.50. Which of the following functions models the average cost per bolt for the company to produce x bolts, where

A.

B.

C.

D.

214.

How much water should be added to an 80% alcohol solution to make 10 liters of a 60% alcohol solution?

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A. 2 liters

B. 2.5 liters

C. 5.2 liters

D. 6 liters

215.

Margaret invested $2000 at an annual interest rate of 4%, compounded continuously. If she does not make any withdrawals or deposits, approximately how much money will she have after 5 years?

A. $2,081.62

B. $2,102.02

C. $2,440.38

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D. $2,442.81

216.

Thuy can paint a room in 22 hours and Jesse can do the same job in 20 hours. Which equation can be used to determine the number of hours it would take Thuy and Jesse to paint the room if they worked together? Let t represent the time in hours.

A.

B.

C.

D.

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217.

An economist predicts that the number of employees with a certain company will increase by 50% each year. There are 600 employees now. According to the economist’s prediction, how many employees will be with the company exactly 3 years from now?

A. 900

B. 1350

C. 1500

D. 2025

218.

The length of

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a rectangular-shaped deck is 5 meters longer than its width. If the area of the deck is

what is its length in meters?

A. 6

B. 11

C. 14

D. 19

219.

In parallelogram EFGH, m∠1 = 3x – 5, m∠2 = x + 10, and m∠3 = 2x + 15.

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What is m∠4?

A. 20°

B. 30°

C. 55°

D. 85°

220.

Monica’s closet has a length that is 2 feet longer than the width. If the closet’s area is 35 square feet, what is the width of the closet?

A. 5

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B. 7

C. 9

D. 18

221.

On a true-false quiz, the probability of achieving a perfect score by guessing is halved for each additional question on the quiz. This probability e

quals for a one-question quiz. What is the minimum number of questions needed for a true-false quiz, so that the probability of achieving a perfect score by guessing is

less than ?

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A. 3

B. 4

C. 5

D. 6

222.

Rob, Rita, and Jose work for a stereo company. Working alone, it takes Rob 4 minutes, Rita 3 minutes, and Jose 6 minutes to build a stereo box. If the three of them are working together, how long would it take them to build a stereo box, in minutes?

A.

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B.

C.

D.

223.

How many ounces of pure gold must be added to 16 ounces of a gold alloy that is 50% gold to make an alloy that is 75% gold?

A. 32

B. 20

C. 16

D. 8

224.

If 7 more than 2 times a number is 11, what is

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the number?

A.

B.

C.

D.

225.

Victor can fill an ice cream sundae order in 6 minutes. Gabrielle can fill the same order in 7 minutes. How long, in minutes, would it take Victor and Gabrielle to fill the ice cream order if they worked together?

A.

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B.

C.

D.

226.

Ron can assemble a billboard sign in 40 minutes. Emily can assemble the same size billboard in 18 minutes. How many minutes would it take them to assemble one billboard if they work together? Round the answer to the nearest minute.

A. 12

B. 22

C. 29

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D. 58

227.

Two trains leave a train station traveling on parallel and adjacent tracks. Train A is traveling due north at a constant speed of 40 miles per hour. Train B is traveling due south at a constant speed of 55 miles per hour. If both trains leave at the same time, in approximately how many minutes will they be 15 miles apart?

A. 1.6

B. 6.3

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C. 9.5

D. 23.75

228.

A chemist has 10 liters of an acid solution that is 60% acid. How many liters of water must the chemist add to make a solution that is 20% acid?

A. 4

B. 5

C. 10

D. 20

229.

A pitcher contains 10 ounces of fruit punch that is 55%

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grape juice. How many ounces of water must be added to make a fruit punch that is 25% grape juice?

A. 3

B. 4

C. 10

D. 12

230.

Company A needs 110 days to rebuild a bridge. Company B needs 150 days to rebuild the same bridge. Working together, they can do the job in d days. Which equation can be used to find the value of d?

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A.

B.

C.

D.

231.

A candy store wants to mix candy worth $8 a pound with 30 pounds of candy worth $3 a pound to get a mix that can be sold for $6 a pound. What is the difference in the weights of the $8 candy and the $3 candy?

A. 15 pounds

B. 30 pounds

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C. 45 pounds

D. 75 pounds

232.

A beaker contains 400 milliliters of a solution that is 80% acid. How many milliliters of a 50% acid solution should be added to obtain a solution that is 75% acid?

A. 40

B. 80

C. 300

D. 400

233.

Erica collected a total of $180

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for her favorite charity over the first 3 months of the year. She collected the same amount in the first and second months. She collected three times the first month’s amount in the third month. How much money did she collect in the third month?

A. $36

B. $60

C. $108

D. $120

234.

Ralph is driving from his home to

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his grandmother’s house at an average rate of 40 miles per hour (mph). He had driven 6 miles when his sister Maria left their house and began driving along the same route. At what average rate, in miles per hour, is Maria driving if she catches up with Ralph in

hours?

A.

B.

C.

D.

235.

The admission fee to a state fair is $8.00.

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Each ride costs an additional $4.00. Karen only has $30.00. Which inequality could be used to determine the number of rides, x, Karen can go on?

A. 12x ≤ 30

B. 4x + 8 ≤

30

C. 8x + 4 ≤

30

D. 12x + 8 ≤

30

236.

Jorge drove from Ocean City to Plainfield at an average rate of 40 miles per hour. Helen left 2 hours

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after Jorge. Following the same route, she caught up with him in 4 hours. What was Helen’s average rate?

A. 44 mph

B. 46 mph

C. 50 mph

D. 60 mph

237.


A.

B.

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C.

D.

238.

Robert takes medicine for an ear infection. There are 250,000 bacteria present when he begins taking the medicine, and 35% of the bacteria are destroyed every hour. How many hours will it take for 70% of the original bacteria to be destroyed?

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A. 4 hours

B. 3 hours

C. 2 hours

D. 1 hour

239.

The perimeter of a rectangle is 28 inches. The length is 6 less than 3 times the width. What is the length of the rectangle?

A. 5 inches

B. 8 inches

C. 9 inches

D. 12 inches

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240.

The perimeter of the figure shown is 1276 feet.

What is the value of x?

A. 305

B. 316

C. 320

D. 354

241.

A coat cost $68 after a 15% discount was applied to the

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original cost. What was the original cost of the coat?

A. $57.80

B. $78.20

C. $80.00

D. $83.00

242.

For a set of three consecutive odd integers, three times the largest integer is 7 less than twice the sum of the other two integers. What is the largest integer in

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the set?

A. 5

B. 11

C. 19

D. 23

243.

Soledad’s regular pay rate is $7.50 per hour. If she works more than 40 hours in one week, she receives 1.5 times her regular pay rate for each additional hour. How many hours would Soledad have to work in one week to earn a total of $345?

A. 43

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B. 44

C. 45

D. 46

244.

What is the algebraic equation for the statement, “Subtract 10 from the sum of x and 21 and the result is 20”?

A.

B.

C.

D.

245.

A container has 30 ounces of mixed nuts containing 30%

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peanuts. Roberto added 10 ounces of mixed nuts containing 50% peanuts to the container. What percentage of the mixture in the container is peanuts?

A. 14

B. 32

C. 35

D. 40

246.

A car will be traveling a total distance of 520 miles. The first part of the trip takes 2 hours, and the car’s average rate is 65

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miles per hour. If the entire trip takes 8 hours, what is the car’s average rate, in miles per hour, during the second part of the trip?

A. 49

B. 50

C. 57

D. 65

247.

Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the nearest

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tenth of a percent, what is the rate of interest on the account?

/files/assess_files/a61e4316-498a-4c2e-8164-f7e941b74a43/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf


A. 6.9%

B. 5.4%

C. 4.8%

D. 4.4%

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248.

The length of a rectangular garden is 4 m longer than the width. If the area is

what is the length of the garden in meters?

A. 6

B. 10

C. 14

D. 33

249.

Katie deposited $2,000 into a new savings account that paid interest at an annual rate of 3%, compounded continuously. If there were no other

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transactions, approximately how much money was in Katie’s account 6 years after she made the deposit?

A. $2,360

B. $2,388

C. $2,394

D. $3,600

250.

A rectangular area is enclosed with fencing where the width is 5 feet less than the length. If the area is 300 square feet, what is the width?

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A. 15 feet

B. 20 feet

C. 30 feet

D. 60 feet

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