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A.CED.1 [576440]StudentClassDate

Read the following and answer the questions below:

Paper Airplane Contest

Paper Airplane ContestJenna 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?

A.

B.

C.

D.


Flagstone Pathways

Flagstone PathwaysBill’s Landscaping is a local company that offers several services for families in the area, such as planning and building gardens; constructing pathways in yards, gardens, and pools; and maintaining landscaped areas.Bill’s Landscaping would like to be sure that the price it is charging per square foot of flagstone pathway is competitive in the local landscaping market and yields the maximum profit. Currently, the company charges $18 per square foot of pathway laid. At this price, it brings in about 2,400 square feet of pathway work from customers each month.However, the owners are thinking of decreasing the price charged per square foot to be more competitive. Using information about the local landscaping market, they have determined that for every $1 decrease in price per square foot, the amount of work brought in by customer requests for flagstone pathways will increase by 200 square feet monthly.

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The Johnsons, a family living in the area, are considering hiring a company to help them build a garden. The garden will be rectangular in shape and will be surrounded by a stone pathway of uniform width throughout.The Johnsons have heard that Bill’s Landscaping is the most reliable company around but can be expensive at times. They must take this into consideration when determining the width (overall area) of the pathway. Mr. Johnson thinks that the walkable portion of the pathway should be at least 2 feet (ft) in width. Mrs. Johnson would like to have a decorative border around the pathway that will increase the width slightly. The diagram below shows the Johnsons’ vision for the garden, where x represents the width of the decorative border that Mrs. Johnson would like to have.

The Johnsons are not the only family in the community that is hiring a landscaping company to help with constructing garden pathways. Recently, there has been a lot of interest in stone pathways, particularly using flagstone, in garden and backyard areas. Flagstone is a flat stone slab that comes in several different natural colors and is often irregularly shaped, although it can also be square or rectangular. The stone is used to make natural-looking pathways in backyards and other landscaping projects. The picture below shows a typical flagstone pathway.

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The Johnsons have heard about the possible decrease in prices at Bill’s Landscaping. They hope that this reduction in prices will allow them to hire Bill’s to construct a flagstone pathway around their garden and still have enough in their budget to include a decorative border.

2. Read “Flagstone Pathways” and answer the questions.

Part A. Using the information in the diagram of the Johnsons’ pathway, create an equation that represents the area of the stone pathway and border in square feet, A(x) with respect to the width of the border in feet, x.

Part B. Based on their budget and the new prices at Bill’s Landscaping, the Johnsons have determined that the pathway and border will have a total area of 185.25 square feet. What will be the total width of the pathway, including the border?

Use words, numbers, and/or pictures to show your work.

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The Mathematics of Beanbag Toss

The Mathematics of Beanbag TossWhat Is Beanbag Toss?In the past few years, a lawn game commonly called beanbag toss has seen a growth in popularity and recognition across the United States. In beanbag toss, players throw beanbags at an inclined platform in an attempt to get the beanbags to land on the platform or go through a hole in the platform. The game is typically played by four players at a time, with two teams of two players each, and continues until one of the teams reaches a certain score.The rules of the game are easy to learn, but tossing a beanbag so that it lands in the right spot can be challenging. The beanbag often slides off the slanted platform, so players practice tossing the beanbag into a high parabola. If the beanbag is thrown with too much velocity, it can land on the platform but then continue moving and slide off the top.

Beanbag Toss SetupTo play beanbag toss, two platforms and two different-colored sets of beanbags are needed. Many companies sell pre-made game sets that include

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all necessary materials. Instead of buying a set, a lot of people make their own platforms out of wood and paint them in their favorite colors or add logos representing their college or favorite sports team.Beanbag toss platforms are 2 feet (ft) wide by 4 feet long and are angled so that the top is higher than the base. Each platform has a hole that is 6 inches (in.) in diameter. The center of the hole is 9 inches from the top of the platform and 12 inches from each edge. The platforms are typically 2 inches thick and have legs that fold out to make the top of the platform 12 inches tall.There are four beanbags in each set, and two sets are needed for each game. The beanbags are filled with beans, corn kernels, or other similar materials. Each is a square that is 5 to 6 inches wide and weighs between 12 and 16 ounces.

A typical beanbag toss court is set up so that the bases of the platforms are 27 feet apart and the holes are 33 feet apart at their closest point. The pitcher’s boxes are the areas next to each platform; the players stand in their pitcher’s box area when it is their turn to toss a beanbag, or pitch, onto the

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opposite platform. When pitching, players must stay behind the foul line formed by the base of the platform.

Rules and ScoringEach team has two players who stand across from each other instead of next to each other. Members of opposing teams stand next to the same platform. In each round, the first player tosses a beanbag at the opposite platform; the opposing team’s member then tosses a beanbag at that same platform. These two players alternate until they have each tossed all four of their beanbags. The score for the round is totaled; the next round begins when the other two players pick up the beanbags and toss them in the same alternating fashion.Depending on where it lands, each beanbag can earn 3, 1, or 0 points. Every beanbag that goes through the hole by the end of the round is worth 3 points. These points are awarded no matter how the beanbag falls into the hole; it can be tossed directly into the hole, land on the platform and slide into the hole, or land on the platform and be pushed into the hole by another beanbag that lands on the platform. If a beanbag lands on the platform but does not fall through the hole or slide off the platform by the end of the round, it is worth 1 point. No points are awarded for any beanbag that touches the ground before reaching the platform, that never reaches the platform, or that is thrown from closer than the foul line.

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To play a faster game, the point values can be added together until one team reaches 21 points. A longer and more common version of the game involves using cancellation scoring until one team reaches 21 points. In this version of the game, only one team can earn points in each round, and the team with the higher score is awarded the difference in the scores for that round. For example, if Team 1 had two beanbags on the platform and one in the hole and Team 2 had one beanbag on the platform and none in the hole, Team 1 would earn 4 points. In that same round in the faster version of the game, Team 1 would earn 5 points and Team 2 would earn 1 point.There are many other scoring variations that can be used, such as playing to 25 points, requiring that a team wins by at least 2 points, or requiring a winning score of exactly 21 points and being penalized for going over 21 points.Beanbag toss can be played anywhere and by people of all ages. The combination of outdoor fun, competition with friends, and versatility is what attracts people to the game. Start a game of beanbag toss with your friends or family this weekend and find out which variation of the game you prefer.

3. Read "The Mathematics of Beanbag Toss" and answer the questions.Jessica and her dad would like a beanbag toss set with a specific design. They are trying to decide whether they should build a set of their own or buy a pre-made set. If they make their own set, they will buy wood for the platforms, the beanbags, and paint; assemble the platforms and cut out the circles; and then paint the platforms. The boards for the platforms cost $3.50 per square foot, and the wood needed for the legs of both platforms costs a total of $6. Each beanbag is $2.25, and they will need to buy two sets of beanbags. A pre-made beanbag toss set costs $100, so Jessica and her dad do not want to spend more than that if they make their own. Assume that all taxes and other fees do not need to be included in these calculations.

Part A. If Jessica and her dad use paint that costs $2.99 per bottle, write an inequality that can be used to determine how many bottles, x, of paint they can purchase and stay within their budget.

Part B. Solve the inequality from part A to determine the maximum number of bottles of paint Jessica and her dad can purchase.

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Part C. Jessica and her dad are also considering purchasing more durable outdoor paint for $3.99 per bottle. Set up and solve an inequality to determine the maximum number of bottles, y, of outdoor paint they can purchase and stay within their budget.

Part D. If Jessica and her dad decide to design their own beanbag toss that would require a total of 6 bottles of paint, which type of paint should they purchase? Explain using support from your calculations.



Going to a Baseball Game

Going to a Baseball GameChris 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 Cost

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Hot dog $6.00Soft drink $4.50Peanuts $5.00

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

4. Read "Going to a Baseball Game" and answer the question.How many individual game tickets could be bought for the same cost of one 21-game package of tickets?

5. 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.

A.

B.

C.

D.

6. 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

7. Jason drops a ball from a height of 12 feet and observes that the ball bounces to exactly half of the height of its previous bounce each time. What exponential equation can be used to represent the height of the ball, h, on its fifth bounce?

8. Alexander is raking leaves to earn money to buy a bicycle that costs $300 including tax.

He currently has $75 and will spend $50 on supplies. He charges $15 per yard he rakes.

What is the fewest number of yards Alexander will have to rake to have enough money to buy the bicycle?

A. 15 yards

B. 18 yards

C. 19 yards

D. 20 yards

9. 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

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that Martha needs to walk to have enough money to buy the bike?

A. 12

B. 13

C. 18

D. 19

10. 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?

A. 3.15%

B. 3.5%

C. 5.8%

D. 6.75%

11. 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

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B. 8 weeks

C. 19 weeks

D. 21 weeks

12. 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

13. A company has a budget of $1,700 for a banquet. A banquet hall charges $150 to rent a room, plus $30 per guest. What is the maximum number of guests that can attend the banquet for the costs to remain under the budget?

A. 51 people

B. 52 people

C. 56

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people

D. 57 people

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

A. 16

B. 17

C. 18

D. 19

15. 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?

A. 4.5 mph

B. 7.5 mph

C. 12 mph

D. 15 mph

16. A rectangle has a perimeter of 52 inches. The length of the

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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

17. Philip is assigned to read a book for his literature class that is 250 pages long. He reads at a rate of 30 pages per hour. If he can only read for 2 hours per day, how many days will it take him to finish the book?

A. 4 days

B. 5 days

C. 8 days

D. 9 days

18. A wooden board measuring 12 inches by 8 inches (in.) is to be shortened uniformly along all sides as shown. By what length should each side be shortened if the revised wooden board is to have an area of 45 square

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inches?

A. 1.5 inches

B. 2.1 inches

C. 3.19 inches

D. 4.25 inches

19. 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

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20. 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

21. Veronica’s cell phone plan costs $39.99 a month for 450 minutes. She is charged an additional $0.45 for each minute over 450 she uses. Veronica’s bill last month was $95.34. How many minutes over 450 did Veronica use last month?

A. 123 minutes

B. 212 minutes

C. 573 minutes

D. 662 minutes

22. 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?

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A. 3

B. 4

C. 7

D. 11

23. An electrician charges $42 per hour. He estimates that he will need $628 in materials for a project and the total cost of the project will be $1,384. How many hours does the electrician expect the job to take?

A. 18 hours

B. 33 hours

C. 42 hours

D. 48 hours

24. 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

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C. 8

D. 9

25. The half-life of a substance is the time required for a quantity of a substance to decay to half its original value. The half-life of a radioactive isotope of Iodine-131 is eight days. Write an exponential equation that could be used to find out how many grams (g) of a 200-gram sample of Iodine-131 will be left after 6 days.

26. On a number line, graph the solution to the inequality

27. The ages of three sisters are consecutive odd integers. The sum of their ages is 63. Which equation could be used to solve for the age of the youngest sister?

A.

B.

C.

D.

28. A rectangular garden is surrounded by a sidewalk of uniform width. The sidewalk has a length of 18 meters (m) and a width of 10 m. If the area of

the garden, excluding the sidewalk, is write an equation that could be used to determine the width, x, of the sidewalk.

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

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A. –6

B. –5

C. –3

D. –1

30. Mike’s coin collection has a total of 75 coins. Kevin’s coin collection has three less than two times Mike’s collection. Which equation models the number of coins in Kevin’s collection, x?

A.

B.

C.

D.

31. 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?

A.

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B.

C.

D.

32. A company charges $13 plus $3 per hour to rent a boat. Abigail and Monique want to rent a boat but do not want to spend more than $20 each. What is the maximum number of hours the girls can rent a boat?

A. 9 hours

B. 6 hours

C. 5 hours

D. 2 hours

33. 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.

B.

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C.

D.

34. 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 the set?

A. 5

B. 11

C. 19

D. 23

35. Angle EFH and angle GFH are congruent. The measure of ∠EFH = 3x + 14 and the measure of ∠GFH = 9x – 10. What is the measure of ∠EFH?

A. 20°

B. 26°

C. 36°

D. 52°

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36. 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

37. 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?

A.

B.

C.

D.

38. 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

39. 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

40. The length of a rectangle is twice its width. If the width is decreased by 5, the new rectangle has a perimeter of 86. What is the length of the new rectangle?

A. 14

B. 16

C. 28

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D. 32

41. The length of a rectangular backyard is 6 more than the width of the backyard. The perimeter of the backyard is 44 feet. What is the area of the backyard?

A. 112 square feet

B. 187 square feet

C. 264 square feet

D. 475 square feet

42. A costume designer cut three pieces of ribbon from a roll 66 inches (in) long. The second piece

is twice as long as the first piece, and the third piece is as long as the first piece. If there is no ribbon left over after cutting the three pieces, what is the length of the shortest piece?

A. 9

B. 12

C. 18

D. 36

43. The total time it takes a tourist to reach a destination is x hours. A tourist averages 60 mph and takes two 30-minute breaks. Which equation represents the distance y traveled in x hours?

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A.

B.

C.

D.

44. Tamika wants to make an open rectangular box from a rectangular cardboard piece. He wants the length of the box to be two centimeters more than its width. He cuts a square of side length 4 cm from each corner of the cardboard piece and folds up the edges to make the box. The volume of the box he makes is

Part A. Write an equation relating the volume and the dimensions of the box.

Part B. Solve the equation found in part A to find the length and width of the box. Show your work.


45. 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°

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D. 30°

46. 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

47. 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

48. Olivia started a CD collection in January with 5 CDs and increased her collection for the next three months as shown.

By February, she had a total of 8 CDs.

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By March, she had a total of 11 CDs. By April, she had a total of 14 CDs.

If she continues increasing her CD collection in the same way, which equation can be used to find the total number of CDs Olivia will have in n months?

A.

B.

C.

D.

49. Karen opened a savings account with $500. The money earns 0.2% interest per month. If she does not make any withdrawals or any more deposits, approximately how much money will Karen have in the account after two years?

A. $502

B. $512

C. $515

D. $525

50. 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?

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A. 5 inches

B. 8 inches

C. 9 inches

D. 12 inches

51. 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°

52. 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°

53. Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the nearest tenth of a percent, what is the rate of interest on the account?

A. 6.9%

B. 5.4%

C. 4.8%

D. 4.4%

54. The sum of three consecutive even integers is 78. What is the

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value of the smallest of the three integers?

A. 20

B. 22

C. 24

D. 26

55. Alan, Bob, and Charlie are waiters at a restaurant. One day, the three of them earned a total of $285 in tips. Depending on the number of hours they worked, Alan, Bob, and Charlie must give $5, $10, and $15 respectively from their individual tips to the other staff members who helped them throughout their shift. After giving part of their tips to the other staff members, the ratio of their tips become for Alan, Bob, and Charlie respectively.

Part A. If x represents the common multiple of their tips after Alan, Bob, and Charlie give the appropriate amounts to other staff members, write an equation that could be used to find out how much each individual made in tips that day.

Part B: Solve the equation in part A to find each of their individual tip amounts.


56. 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?

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A.

B.

C.

D.

57. Sarah purchased 2 tickets to a movie and a bucket of popcorn. The bucket of popcorn cost $7.00. Sarah paid a total of $22.00. How much did each movie ticket cost?

A. $4.00

B. $7.50

C. $11.00

D. $14.50

58. 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?

A.

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B.

C.

D.

59. 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

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

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What is the measure of ∠Z?

A. 20°

B. 30°

C. 40°

D. 70°

61. The sum of three consecutive odd integers is 105. What is the value of the smallest integer?

A. 31

B. 33

C. 35

D. 37

62. Robin has a collection of dimes, nickels and quarters. He has 4 times as many dimes as nickels. He has 20 more quarters than nickels. The ratio of the number of dimes to the number of quarters is 3:2. Which equation can be used to calculate the number of nickels, n, Robin has?

A.

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B.

C.

D.

63. 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?

A. $392

B. $960

C. $1,120

D. $1,352

64. A coat cost $68 after a 15% discount was applied to the original cost. What was the original cost of the coat?

A. $57.80

B. $78.20

C. $80.00

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D. $83.00

65.The equation represents the value of a car after x years. Based on this equation, what will the value of the car be in 6 months?

A.

B.

C.

D.

66. 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?

A. 2 months

B. 3 months

C. 28 months

D. 29 months

67. 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

68. 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

69. The difference in two complementary angles is 21°. What is the measure of the larger angle?

A. 21°

B. 34.5°

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C. 55.5°

D. 69°

70. A school is purchasing snacks for a summer program. The company charges $1.50 per snack plus a fixed delivery charge. There are 25 students who receive a snack. If the school spends $42.25, how much does the company charge for delivery?

A. $37.50

B. $17.25

C. $11.50

D. $4.75

71. When Karen bought food, her bill was $108.29 before taxes. The bill was $110.46 after taxes. What was the tax rate for the food?

A. 1.0%

B. 1.5%

C. 2.0%

D. 2.5%

72. The admission fee to a state fair is $8.00. Each ride costs an additional $4.00. Karen only has $30.00. Which inequality could

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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

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