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7.EE.3 [551691] Stude nt Class Date 1 . Kate went on a run. She ran of a mile east, then of a mile west. She turned around and ran 2.5 miles east, and then 3.25 miles west. How far and in which direction from her starting point is Kate after her run? A . miles east B . miles west C . miles east D . miles west 2 . Audrey went to the mall. She spent half of her money on a shirt. 7.EE.3 Page 1/52

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7.EE.3 [551691]StudentClassDate

1.Kate went on a run. She ran of a mile east, then of a mile west. She turned around and ran 2.5 miles east, and then 3.25 miles west. How far and in which direction from her starting point is Kate after her run?

A. miles east

B. miles west

C.miles east

D. miles west

2. Audrey went to the mall.

She spent half of her money on a shirt. She spent $5.35 on lunch. She bought a pair of shoes for $21.39. She has $3.26 left.

How much money did Audrey take to the mall?

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A. $30

B. $40

C. $50

D. $60

3. At a department store, sweaters are on sale for 30% off the original price. Scarves are not on sale and cost $2.10 each, but for every two scarves purchased, the shopper receives one free.

Part A  One sweater has a sale price of $10.50. Another sweater has a sale price of $12.60. What was the total original price for these two sweaters? Show all your work and explain your answer.

Part B  The sales tax on clothing is 8%. What is the total cost for both sweaters from Part A, plus six scarves, including tax? Show all your work and explain your answer.

4.A cookie recipe calls for  cups of flour. How much flour is needed to make only 50% of the recipe?

A. 1.5 cups

B. 1.25 cups

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C. 1.125 cups

5. A bicycle normally sells for $475. The bicycle was discounted 30% for a sale. After the sale was over, the new price of the bicycle was 25% higher than the sale price. What was the new price of the bicycle?

A.   $249.38

B.   $332.50

C.   $415.63

D.   $451.25

6. A 7th grade classis selling packages of cotton candy at a festival for $2.95 each. Each package costs them $0.95 to make. They expect to sell between 900 and 1,000 packages of cotton candy during the festival. What is a reasonable estimate of the class’s profit?

A.   $900

B.   $1,000

C.   $2,000

D.   $3,000

7. A candle loses height as it burns at a constant rate of 3 cm every 12 minutes. If the initial height of the candle is 15 cm, what is the percent decrease in height after it burns for 30 minutes?

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A. 20%

B. 40%

C. 50%

D. 80%

8. There are 30 students in a class.

On the last test, half of the students earned an A, and 30% of the students earned a B.

The rest of the students earned a C.

How many students earned a C?

A. 6

B. 8

C. 10

9. Elijah is making a batch of cookies.

He needs cups of butter. A pound of butter cost $3.50. A pound of butter contains 2 cups.

What is the cost of butter for the batch of cookies?

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A. $1.75

B. $2.33

C. $2.63

10. Emily bought 3 shirts for $12.50 each and a pair of shorts for $20. She had a coupon for $3 off her purchase, before sales tax. Sales tax is 6%. How much did Emily pay for the clothes after the coupon and sales tax?

A. $54.50

B. $57.77

C. $60.50

D. $64.13

11.A mirror that is (ft) wide is hung in the center of a 9-foot-long wall. How much wall space is left on each side of the mirror?

A.ft

B.ft

C.ft

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D.ft

12. Jackets are on sale for 40% off the original price. Each pair of gloves cost $13.99 each and for every 2 pairs of gloves purchased, the shopper receives 1 pair of gloves free.

Part A  One jacket has a sale price of $15.60. Another jacket has a sale price of $22.80. What was the total original price for these 2 jackets? Show your work.

Part B  The sales tax on clothing is 8%. What is the total cost for both jackets and 6 pairs of gloves? Show your work.

13. Bob is decorating bulletin boards for the book fair.

He has five rolls of paper to use. He uses square feet of paper and has 5.25 square feet of

paper left over. Each roll contains the same amount of paper.

How many square feet are on each roll of paper?

A. square feet

B.square

feet

C.square

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feet

D.square

feet

14. A family made three trips to the grocery store in one month.

On the first trip, they spent $100 on groceries. On the second trip, they spent 20% less than they did on the

first trip. On the third trip, they spent as much as they did on the

second trip.

What was the total amount of money the family spent on groceries for the month?

A. $195.00

B. $240.00

C. $255.00

D. $310.00

15.A child drinks cups of milk twice a day. If a container of milk has 15 cups of milk remaining for the child to drink, in how many days will the container be empty?

A. 5

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B. 8

C. 10

D. 15

16. A product used to have a price of $20.50. Its price was then increased by 2%. Additionally, a 7% tax is added when the product is purchased. What is the total cost, including tax, of purchasing the product?

A. $20.91

B. $21.94

C. $22.35

D. $22.37

17. A teacher bought a bag of candy with 240 pieces.

She gave 30% of the pieces to another teacher. She put half of what was left in the bag into a jar on her desk. She gave the 25 students in her class an equal amount of the

remaining candy in the bag.

How many pieces of candy does the teacher have left in the bag?

A. 0

B. 9

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C. 11

D. 15

18. Dolphin 1 dove 200 feet under water. Dolphin 2 dove 30% farther. After Dolphin 2 dove down, it ascended feet and then descended feet. How far under the water is Dolphin 2?

A. 295 feet

B. 275 feet

C. 245 feet

D. 215 feet

19. Walter bought a used car for $3,500. He made a down payment of the purchase price. He will take out a loan for the remaining balance. By the time he pays off the loan, Walter will have paid the amount of the loan plus 20% of the loan. What is the total amount that Walter will spend on the car?

A. $875

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B. $2,625

C. $3,150

D. $4,025

20. Edward earned $105.70 last week.

He put 15% of his money in the bank and plans to spend the rest of it.

He spent $12.00 at the movies and bought a video game for $21.36.

How much money does Edward have left to spend?

A. $49.22

B. $56.49

C. $57.34

21.Mr. Donahue needs pounds of flour to make 5 loaves of bread. He bought a 50-pound bag of flour that costs $64.99. About how much will Mr. Donahue spend on flour for a loaf of bread?

A. $1.17

B. $5.85

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C. $6.50

D. $58.49

22. David earned $9.00 an hour at his job. He received a 6% pay increase. If he works 40 hours, how much money will David earn after his pay increase?

A. $362.40

B. $366.00

C. $381.60

23. Michelle wants to make as many granola bars as possible with a recipe

that uses cups of walnuts. Each recipe makes 36 bars. She has 7 cups of walnuts. If she puts a total of 12 bars in one gift box, how many gift boxes can Michelle make?

A.   7

B.   14

C.   15

D.   21

24.If 12 feet (ft) of ribbon is cut into pieces that are ft long, how much ribbon is left over?

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A.ft

B.ft

C.ft

D.ft

25. David’s starting pay for his summer job is $10.00 per hour.

Halfway through the summer he receives a 50 cent per hour raise. David is hired the next summer and receives a 10% raise. Halfway through the second summer he receives a 50 cent per hour

raise. David is hired for a third summer and is given a 5% raise.

How much money does David earn per hour during the third summer? Show or explain your work.

26. A bicycle that normally sells for $150 is on sale for 35% off. What is the sale price of the bicycle?

27. Three children took toys from a box. The first child took 4 toys. The second child took half of the remaining toys. The third child took the last 6 toys. How many toys were in the box at the beginning?

A.   16

B.   18

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C.   20

D.   24

28. Caesar went to a sandwich restaurant with 2 friends. They ordered 2 sandwiches for $6.50 each and one garden salad for $4.25. They also got 2 drinks for $1.80 each. The tax was $2.90. Caesar paid with  in cash. How much change did he get back?

A.    $6.25

B.    $9.15

C.    $14.55

D.    $17.45

29.Becky ran 1.7 miles on Monday,   miles on Wednesday, and   miles on Friday. How many total miles did Becky run?

A. 5.1 miles

B. 5.38 miles

C. 5.575 miles

30. A theater group sold n tickets to a musical for $10 each. The group had

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$1,238 remaining after paying $4,882 to rent the theater.

Part A  Dillon wrote the equation to represent this situation. Explain whether you agree or disagree with Dillon and why. If you disagree with Dillon, write a correct equation.

Part B  Solve the equation Dillon wrote, or the new equation you wrote if you disagreed with Dillon. Show or explain your work.

Part C  Explain what your solution means in the context of the problem.

31. David earns $15.25 per hour, plus an additional 3% in commission of total sales. How much will David make in one month if he works 8 hours a day for 25 days and makes $2,050.00 in sales?

A. $76.75

B. $2,431.25

C. $3,111.50

D. $3,665.00

32. Tom ran the first 1.5 miles of a 3-mile race in 10.5 minutes. If Tom ran the entire race in 22.5 minutes, what was his average speed per mile to the nearest tenth for the last half of the race?

A. 7.5 minutes per mile

B. 8.0 minutes per

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mile

C. 11.0 minutes per mile

D. 12.0 minutes per mile

33. Micah has a piece of wood that is 96 inches long.

He cut off  of the piece of wood and gave it to his brother. He then cut the remaining wood in 4 equal lengths.

How long were each of these 4 equal pieces of wood?

A. 16 inches

B. 24 inches

C. 32 inches

34. Angela is finding the value of the expression below.

Part AConvert all of the numbers in the expression to fraction form in lowest terms. Using the fraction form, find the value of the expression. Show your work.Part B

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Convert all of the numbers in the expression to decimal form. Using the decimal form, find the value of the expression. Show your work.

35. Andre makes $8 an hour working at a store. After 6 months, he receives a 5% increase in his hourly pay. He also receives a $2 bonus for each person who signs up on the mailing list. Andre has worked for 8 months. What is Andre’s pay for one week if he works 36 hours and signs up 6 people on the mailing list that week?

A.   $288.00

B.    $300.00

C.    $302.40

D.   $314.40

36. The table shows some of the prices at an amusement park.

Mr. Johnson is taking his children to the amusement park. He will pay for 3 adult tickets, parking for the day, and 3 Super Meals. What is the total amount he will spend?

A. $116.85

B. $130.85

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C. $140.85

D. $170.85

37. A group of 4 people went to a movie. Each person bought a large drink and a small box of popcorn. They paid a total of $33.00 for the drinks and boxes of popcorn. The cost of each box of popcorn, including tax, was $3.75. What was the cost, including tax, of each drink?

A.   $4.50

B.   $5.44

C.   $7.25

D.   $7.31

38. Janine and her brother had a total of $35.19 to buy school supplies. Janine’s school supplies cost $12.78. Her brother’s school supplies cost slightly more than $9. About how much money did they have left after buying school supplies?

A. $12

B. $13

C. $14

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D. $15

39. A theater offers a 15% student discount on its tickets. How much would a student ticket cost if a full price ticket is $8.00?

A. $6.85

B. $6.80

C. $6.50

D. $6.00

40. There are 27 students in a 7th grade class. For a fundraiser, each student sells 50 candy bars that cost $0.75 each. If the class gets to keep 40% of the profit from the sales, how much money does the class get to keep?

A. $15.00

B. $405.00

C. $607.50

D. $1,012.50

41. Two classes are collecting food for donations. In the first week, Class 1 collected 15 items and Class 2 collected 16 items.

Part A  In the second week, Class 1 had a 20% increase in the number of

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items collected. How many items did Class 1 collect in the second week? Show your work.

Part B  In the second week, Class 2 collected 20 items. What is the percent increase from the number of items collected in the first week to the number of items collected in the second week? Show your work.

Part C  In the third week, Class 1 collected 35 items. In the third week, how many items would Class 2 need to collect for the total number of collections for each class to be the same for all 3 weeks? Show your work.

42. Martin sells used cars.

He earns $12.50 per hour, plus 3% commission on any cars he sells.

On Monday, he worked 6.5 hours and sold a car for $9,000.

How much money did Martin earn on Monday?

A. $351.25

B. $282.50

C. $243.75

43. Terry earns a salary of $36,000 per year. He is paid once per month. He receives a 2.5% pay raise. How much more money is Terry earning each month?

A. $25

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B. $75

C. $90

44. Four brothers each received $20.00 for helping neighbors with yard work. The chart below shows how much of their money each brother spent.

 Name of  Brother

  Money Spent

Josh 0.3

Ralph

Marcus20%

Trevor$4.50

Which brother spent the most money?

A. Josh

B. Ralph

C. Marcus

D. Trevor

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45. Mr. Richards has two cars that he changes the oil in every four months.

During an oil change, each car needs  quarts of oil. Each 5-quart container of oil costs $14.99.

Before tax, how much will the oil cost Mr. Richards for both cars in a year?

A. $44.97

B. $80.94

C. $89.94

D. $107.93

46. Hayley wants to purchase tile for the floor in a rectangular room that measures 15 feet by 14 feet. The tile costs $4.25 per square foot. Sales tax is 6.5%. What will be the total cost to cover Hayley’s floor with tile?

A. $950.51

B. $892.50

C. $580.13

D. $220.75

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47. Sara has $150 in her savings account. The amount in her account increases by 6% every year. If she does not put more money into her account, what will be the balance to the nearest dollar in her account after one year?

A. $159

B. $156

C. $153

D. $151

48. A pair of jeans originally cost $29.99. The jeans are marked down 15% off. Julie has a coupon for an additional -off the price of the jeans. Sales tax is 8%. How much will Julie pay for the jeans including sales tax?

A. $20.39

B. $21.05

C. $22.02

D. $25.91

49. Jason purchased 10 shirts for the members of a school club. Each shirt cost $4.99. Jason had a coupon for 20% off his total

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purchase. Sales tax was 7% after the discount. What was the total cost for the shirts?

A. $42.71

B. $39.99

C. $36.90

D. $36.43

50. There were 20 drinks in a cooler.

Joey drank 15% of the drinks. Sandra drank   of the drinks. Hannah drank   of the drinks. Tammy drank 30% of the drinks.

How many drinks are left in the cooler?

A. 0

B. 2

C. 5

D. 9

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51. James has 16 ounces (oz.) of cookie dough. If he uses 0.56 oz. of cookie dough for each cookie, what is a reasonable estimate of how many cookies he can make?

A. 9

B. 16

C. 24

D. 30

52. Kim, Beth, and Jenny gave money to buy their mother a birthday gift.

The gift cost $40. Kim gave 35% of the money for the gift. Beth gave   of the money for the gift.

How much money did Jenny give to buy the gift?

A. $5

B. $11

C. $14

D. $1

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5

53. Brett rented a paddle boat. It cost $6.50 to rent the boat, plus $2.25 per hour. For a fraction of an hour, a proportional amount is charged. Brett used the paddle boat for hours. Brett paid with a 20-dollar bill. How much change did Brett receive?

A. $11.25

B. $10.12

C. $9.88

D. $8.75

54. The school drama club needs to purchase costumes for their next play. Each costume includes a dress and a pair of shoes. The dresses cost $24.95 each and the shoes cost $14.95 each. The drama club has $300 to spend. How many complete costumes can they purchase?

A.   7

B.   8

C.   12

D.   13

55.Nicole earned $75. She put   of her money into her savings

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account. She bought a shirt for $17.11 and a sweater for $26.74. How much money does Nicole have left?

A. $6.15

B. $9.65

C. $18.85

D. $31.15

56. Charlotte earns $1,595 per month at her job. She will receive a 7% raise. How much more money will Charlotte earn each year after her raise?

A. $1,116.50

B. $1,339.80

C. $1,706.65

D. $2,711.50

57. A photographer rented a booth at an art fair for $630. The photographer sold each photograph for $45 and made a total of $1,980 after paying for the booth. How many photographs did the photographer sell at the fair?

A.   14

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B.   30

C.   44

D.   58

58. A survey of all 382 high-school students in a small town found that 40% of the students live within 3.5 miles of the high school.

Part A.Based on the survey, a statistician creates a proportion to find x, the greatest distance from the school to where any of the 382 students at the high school lives. The proportion is shown below.

 

Solve for x Is the value you found for x a reasonable estimate of the greatest

distance from the school to where any student lives? Explain your answer.

Part B.The statistician concludes that at least 153 students live within 3.5 miles of the school.

Write an equation using the information from the survey to find the number of students who live within 3.5 miles of the school. How many students live within 3.5 miles of the school?

Is the statistician's conclusion reasonable? Explain why or why not.

59. Four students ask different groups of students about the number of pets they have. The results are shown below.

Bruce reported that of the students he surveyed have a pet.

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Ralph reported that 21 of the 50 students he surveyed have a pet.

Benjamin reported that 45% of the students he surveyed have a pet.

Fred reported that 0.495 of the students he surveyed have a pet.

Part A. Bruce thinks that 50% of the students in his survey have a pet. Is Bruce correct? Justify your reasoning.

Part B. How many more students have a pet in Benjamin’s survey than Ralph’s survey if both of them surveyed 200 students?

Part C. In whose survey did the most students have a pet? Justify your answer.

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

60. Mrs. Williams is going to purchase a plastic cover for her outdoor fish pond. The area of the fish pond is 25 m2. However, she must purchase a cover that is 12% more than the pond area in order to cover the entire edges of the pond. The plastic cover costs $4.75 per square meter. About how much will Mrs. Williams spend for the plastic cover?

A. $300.00

B. $133.00

C. $118.75

D. $57.00

61. Three days a week after school, Sarah runs 2.2 miles each day. This

week, Robert ran    of the total distance that Sarah ran. Also this week, Brooke ran 110% of the total distance that Sarah ran. What is the mean total distance that each person ran this week?

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A. 1.308 miles

B. 3.925 miles

C. 5.995 miles

D. 17.985 miles

62. Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How much money will Jordan now make each week?

A. $363.20

B. $454.00

C. $463.08

D. $544.80

63. On Monday, a jacket cost $36.95 and a shirt cost $21.42. On Friday the jacket was discounted by 20%, and the shirt was discounted by . What is the total price of the jacket and shirt on Friday, before sales tax?

A. $14.28

B. $29.56

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C. $43.84

D. $43.91

64. A roll of fabric is 12 yards long. A salesperson cuts three pieces off the roll measuring  yd,  yd, and  yd. Approximately what percentage of the roll of fabric remains?

A. 3%

B. 9%

C. 23%

D. 77%

65. David has $100 to spend on clothes for school.

He has a coupon for $10 off when he spends at least $50. He buys a pair of pants for $27.99, two t-shirts for $12.99

each, and a pair of shoes for $34.99. The sales tax is 8% of the total after the coupon is applied.

How much money will David have left after his purchases?

A. $3.92

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B. $11.04

C. $14.72

D. $28.75

66. Three people went to lunch at a buffet restaurant that charges $9.99 per person for food.

Each drink is an additional $1.99. Sales tax is 8.5%. Each person orders a drink, food, and leaves a $1.50 tip.

How much was their total lunch bill?

A. $14.50

B. $35.94

C. $39.99

D. $43.49

67. The chart below shows the highest quiz score Cynthia received in four of her classes.

Class Highest Quiz Score

English13 out of 14 correct

Science93%

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Math

History

In which class did she have the highest score?

A. English

B. Science

C. Math

D. History

68. Tom has a summer job that pays $7.25 per hour. Out of his earnings, he buys a bus pass for $12.50 each week.

Part A  Tom worked 27 hours the first week. What was Tom’s pay the first week, not counting taxes, after he paid for a bus pass? Show or explain your work.

Part B  Write an inequality that can be used to determine the number of hours (h) Tom must work each week in order to make at least $240.00 each week not, counting taxes, after he paid for a bus pass.

Part C  Solve the inequality in Part B for h and identify the minimum number of whole hours Tom must work in order to make at least $240.00 each week, not counting taxes, after he paid for a bus pass. Show or explain your work.

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69.What is the solution to

A.

B.

C.

D.

70. Solve for x:

A.

B.

C.  

D.  

71. What is the value of x in the equation below?

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A.

B.

C.

D.

72. Joey earns $7.65 an hour at his part-time job. He received a 20% raise. How much will Joey now earn for working 40 hours?

A. $244.80

B. $306.00

C. $367.20

D. $612.00

73. Marsha spends 150 minutes a night doing homework.

Math homework takes  of that time. Science homework takes 20% of that time. Language Arts homework uses of that time.

What percent of the time is left for Marsha’s social studies homework?

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A. 50%

B. 45%

C. 30%

D. 25%

74. Alley bought 1 pound of potatoes costing $4 from a local grocery store last week. Her final bill included an additional sales tax of 8%. The next week Alley found that the price for a pound of potatoes had gone up to $6. What is the percentage increase in the cost of a pound of potatoes, including the sales tax?

A. 2.16%

B. 6.48%

C. 33%

D. 50%

75.An employee worked 8 hours at $10 per hour plus an additional hours at 1.5 times his hourly salary. How much did the employee get paid?

A. $83.75

B. $105.00

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C. $117.50

D. $123.75

76. The Cooper family is driving 236.5 miles to visit their relatives. In the first three hours, they drive 69.4 miles in the first hour, 67.9 miles in the second hour, and 69.5 miles in the third hour. How many more miles do they need to travel?

A. 29.7 miles

B. 30.3 miles

C. 49.7 miles

D. 99.1 miles

77. Bill, Tom, and John shared a pie.

John ate 0.25 of the pie. Bill ate of the pie. Tom ate 35% of the pie.

Which shows the order from the boy who ate the least to the boy who ate the most?

A. Bill, John, Tom

B. Bill, Tom, John

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C. John, Bill, Tom

D. John, Tom, Bill

78. Alice is making a necklace. She has a chain that is 400 mm long. She puts forty 1.7 mm beads, twenty-seven 6.5 mm beads, and eight 3.4 mm beads on the chain. About how much of the 400 mm chain is left without beads?

A. 388 mm

B. 270 mm

C. 230 mm

D. 129 mm

79.Quinn had $4.00. He spent  of his money on a baseball card,  of it on a drink, and  of it on bubble gum. How much money does Quinn have left?

A. $0.25

B. $0.50

C. $1.00

D. $1.25

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80.Dwight is selling acres of his land. He is dividing the land into 0.75-acre lots. He is selling each lot for $26,000. How much money will Dwight make if he sells all of the lots?

A. $438,750

B. $585,000

C. $780,000

81. Carol’s starting pay for her summer job is $10.25 per hour. Carol earns exactly three raises this summer.

For the first raise, she receives a 50 cent-per-hour raise. For the second raise, she receives a 10% raise per hour. For the third raise, she receives another 50 cent-per-hour raise.

Carol is told that she can have the same job next summer. She will be given a 5% raise per hour based on her pay at the end of this summer. How much money will Carol earn per hour for this job at the start of next summer? Show or explain your work.

82.An art designer wanted to place a piece of art inches wide exactly in the center of a paper that is 7 inches wide. How many inches from the edge of the paper is each edge of the art?

83.Amanda has 5 pieces of wire that are each   ft long. She wants to cut the wire into   ft long pieces. Any extra wire will be considered scrap. How much scrap wire will Amanda have?

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A.ft

B.ft

C.ft

D.ft

84. Mr. Brown has $125.25 in his bank account. He spends $96.50 on groceries, then spends 60% of the remaining amount on dinner. How much money is left in Mr. Brown’s bank account?

A. –$46.40

B. –$31.25

C.  $11.50

D.  $17.25

85.Deja has two baskets of berries. One of the baskets has pounds of

berries and the other basket has pounds of berries. She is going to split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive?

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A.

pounds

B.

pounds

C.

pounds

D.pounds

86. A store purchased jeans for $15 a pair. The store increased the price of the jeans by 65%. One month later, the jeans were on sale for -off the store price. How much would a customer pay for the jeans on sale?

A. $12.75

B. $19.80

C. $24.75

D. $29.70

87.Mr. Roshan will buy pounds beef for a cookout. The price for the first 3 pounds of beef is $4.99 per pound. After that, the price

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is $4.49 per pound. How much will Mr. Roshan pay for the beef?

A. $62.38

B. $57.63

C. $56.13

D. $22.41

88. Thomas planted four different vegetables in a garden.

of the garden was planted with broccoli.

 of the garden was planted with carrots.

of the garden was planted with lettuce.

of the garden was planted with tomatoes.

What fraction of the entire garden did Thomas use to plant the four vegetables?

A.

  

B.

  

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C.

  

D.

  

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