5 1 A 0.42; 16%; C ; 7%; 0 · 2016. 4. 4. · A 1.65p B 1.065p C p + 0.065 D 1 + 0.065 19 The...

18
Name: ____________________________________ Date: ____________ Cumulative Review: Percents PreAlgebra 1 Earth is made up of several different elements. Suppose a certain element makes up 5% of Earth. Express 5% as a decimal. A 0.05 B 0.5 C 20 D 0.005 2 Which set of numbers is in order from least to greatest? A 6 5 %; 6 1 ; 42 . 0 C 68 . 0 %; 7 ; 3 1 B 44 . 0 ; 3 1 %; 21 D 62 . 0 %; 28 ; 8 5 3 17 is 45% of what number? If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 4 Brian bought a new iPad for x dollars. One year later, the value of the iPad was 0.82x. Which expression is another way to describe the change in the value of the iPad? A 0.18% decrease C 18% decrease B 0.82% decrease D 82% decrease 5 Richard sold a total of $7,200 worth of clothing last week at his store. If his commission is 8% of sales, how much commission did he earn? A $5,760 B $90,000 C $576 D $9,000 6 Amanda sells ninja figurines at her store. If she sells a figurine for $45 and there is 6% sales tax, what is the total cost of the ninja figurine? A $27.00 B $47.70 C $42.30 D $2.70 7 A retailer buys a coat in bulk at a unit price of $52. The coat is marked up 35% to sell in the store. What is the price of the coat in the store? A $18.20 B $70.20 C $75.80 D $148.57 8 The Super Runners Shop is selling the new Nike edition running shoes for a price of $85.99. However, the Super Runners Shop is offering a one-day discount rate of 30% on all merchandise. About how much will the new Nike edition running shoes cost after the discount? A $25.80 B $55.99 C $60.19 D $111.79 9 The cost of Carla’s dinner is $25.10. She leaves a tip that is 20% of the cost of the dinner. What is the best estimate for the amount of the tip? A $2.00 B $3.00 C $4.00 D $5.00 10 Peyton puts $2,400 into savings bonds that pay a simple interest rate of 2.8%. How much money will the bonds be worth at the end of 3.5 years? A $3,000 B $2,635.20 C $2,352 D $235.20 11 The price of the new iPhone 6 was predicted to be $600, but it was actually $500. What was the percent error in the prediction of the price of the iPhone 6? A % 6 . 16 B % 20 C 1.2% D 3 . 83 % 12 The Seahawks won 16 games last year. This year the Seahawks won 20 games. What is the percent increase in the number of games the Seahawks won from last year to this year? A 10% B 25% C 90% D 125% Cumulative Review 11-01

Transcript of 5 1 A 0.42; 16%; C ; 7%; 0 · 2016. 4. 4. · A 1.65p B 1.065p C p + 0.065 D 1 + 0.065 19 The...

Page 1: 5 1 A 0.42; 16%; C ; 7%; 0 · 2016. 4. 4. · A 1.65p B 1.065p C p + 0.065 D 1 + 0.065 19 The expression 1.07(0.80p) represents the total amount Daniel paid for a new suit originally

Name: ____________________________________ Date: ____________

Cumulative Review: Percents PreAlgebra

1

Earth is made up of several different elements. Suppose a certain element makes up 5% of Earth. Express 5% as a decimal.

A 0.05 B 0.5 C 20 D 0.005

2

Which set of numbers is in order from least to greatest?

A 6

5 %;61 ;42.0 C 68.0 %;7 ;

3

1

B 44.0 ;3

1 %;21 D 62.0 %;28 ;

8

5

3

17 is 45% of what number? If necessary, round your answer to the nearest hundredth.

A 7.65 B 37.78 C 2.65 D 0.38

4

Brian bought a new iPad for x dollars. One year later, the value of the iPad was 0.82x. Which expression is another way to describe the change in the value of the iPad?

A 0.18% decrease C 18% decrease

B 0.82% decrease D 82% decrease

5

Richard sold a total of $7,200 worth of clothing last week at his store. If his commission is 8% of sales, how much commission did he earn?

A $5,760 B $90,000 C $576 D $9,000

6

Amanda sells ninja figurines at her store. If she sells a figurine for $45 and there is 6% sales tax, what is the total cost of the ninja figurine?

A $27.00 B $47.70 C $42.30 D $2.70

7

A retailer buys a coat in bulk at a unit price of $52. The coat is marked up 35% to sell in the store. What is the price of the coat in the store?

A $18.20 B $70.20 C $75.80 D $148.57

8

The Super Runners Shop is selling the new Nike edition running shoes for a price of $85.99. However, the Super Runners Shop is offering a one-day discount rate of 30% on all merchandise. About how much will the new Nike edition running shoes cost after the discount?

A $25.80 B $55.99 C $60.19 D $111.79

9

The cost of Carla’s dinner is $25.10. She leaves a tip that is 20% of the cost of the dinner. What is the best estimate for the amount of the tip?

A $2.00 B $3.00 C $4.00 D $5.00

10

Peyton puts $2,400 into savings bonds that pay a simple interest rate of 2.8%. How much money will the bonds be worth at the end of 3.5 years?

A $3,000 B $2,635.20 C $2,352 D $235.20

11

The price of the new iPhone 6 was predicted to be $600, but it was actually $500. What was the percent error in the prediction of the price of the iPhone 6?

A %6.16 B %20 C 1.2% D 3.83 %

12

The Seahawks won 16 games last year. This year the Seahawks won 20 games. What is the percent increase in the number of games the Seahawks won from last year to this year?

A 10% B 25% C 90% D 125%

Cumulative

Review 11-01

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13

Diane’s purchase before sales tax was added totaled $36.00. The total including tax was $38.16. What was the sales tax rate?

A 2.16% B 9.4% C 6.0% D 8.0%

14

If a pair of jeans costs x dollars, the expression x + 0.12(x) means “increase the price of the jeans by 12%.” Which expression means the same thing?

A 0.12x B 1.2x C 12x D 1.12x

15

Dean bought a computer that was 15% off the regular price of $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price David paid for it?

A $129.60 B $734.40 C $991.44 D $1,296

16

Suzan bought a sweater at the sale price of $28. The original cost of the sweater was $40. What percent represents the discount that Suzan received when buying the sweater?

A 30% B 43% C 70% D 12%

17

Peter ordered a sweater on-line. The original price for the sweater was $18.00. He received a discount of 20% off this price. He also paid a shipping charge of $2.05. What is the total amount Peter paid?

A $12.35 B $16.45 C $16.90 D $23.65

18

The population of a town is expected to increase by 6.5% next year. If p represents the current population, which expression represents the expected population next year?

A 1.65p B 1.065p C p + 0.065 D 1 + 0.065

19

The expression 1.07(0.80p) represents the total amount Daniel paid for a new suit originally priced at p dollars. Which changes to the original price could have resulted in this expression?

A The original price was reduced by 20% and then increased by 7%.

B The original price was reduced by 20% and then increased by 107%.

C The original price was increased by 80% and then increased by 7%.

D The original price was increased by 80% and then increased by 107%.

20

Janice’s service charge at a beauty salon was $72.60, before tax. The sales tax rate was 8%. If she added 20% of the amount before tax as a tip, how much did she pay for the service at the salon?

A $87.12 B $92.93 C $100.60 D $145.20

21

A dealer paid $12,000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction price. The salesperson received a commission of 25% of the difference between the auction price and the dealership price. What was the salesperson’s commission?

A $900 B $2,100 C $3,900 D $6,600

22

On their anniversary, Mr. Smith took Mrs. Smith and their daughter, Kim, to a restaurant for dinner. All three ordered the special, regularly priced at $25.60. � Mrs. Smith received a 35% discount for her dinner. � Kim’s dinner was half price for a child’s portion.

What was the total amount of the bill for the three meals after the discounts but before tax and tip were added?

A $76.80 B $55.04 C $42.24 D $47.36

23

A store purchased a DVD for $14.00 and sold it to a customer for 50% more than the purchase price. The customer was charged a 8% tax when the DVD was sold. What was the customer’s total cost for DVD?

A $7.56 B $16.80 C $26.25 D $22.68

24

Cherise invested $140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Cherise received at the end of two years?

A $4.20 B $6 C $8.40 D $12.60

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25

Jason bought a model rocket kit from a catalog. The price of the kit was $148.98.

PART A The state sales tax of 6% was added, and then a $10 charge for shipping was added after the sales tax. What was the total amount Jason paid, including tax and shipping cost? Show your work.

Answer $_________________

PART B

Jason received an allowance of $12 per week. How many weeks will it take him to purchase the kit? Show your work.

Answer ________ weeks

26

A group hiked a total of 16.8 miles on the first day of a camping trip. On the second day, the group hiked a distance 14% more than the total distance hiked on the first day. To the nearest tenth of a mile, how many miles did the group hike on the second day?

Show your work.

Answer _________miles

27

A family went out to dinner last Friday. The bill, before sales tax and tip, was $70.50.

PART A A sales tax of 8% was added. What was the amount, in dollars, of the sales tax? Show your work.

Answer $_______________ PART B The family then tipped 20% on the amount after the sales tax was added. What was the total amount the group paid, including tax and tip? Show your work.

Answer $_______________

28

A store sold 650 bicycles last year. This year the store sold 572 bicycles. What is the percent decrease in the number of bicycles sold from last year to this year?

Answer ________ %

29

Kelsie sold digital cameras on her web site. She bought the cameras for $65 each and included a 60% markup to get the selling price. To the nearest dollar, what was the selling price for one camera? Show your work.

Answer $_______________

30

Mrs. Hamilton worked for a real estate agency. She sold a house for $175,000. The agency’s fee for the sale was 4% of the sale price. Mrs. Hamilton received $4,725 of the agency’s fee as her commission. What percent of the agency’s fee did Mrs. Hamilton receive? Round your answer to the nearest tenth of a percent. Show your work.

Answer ________ %

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Name: ____________________________________ Date: ____________

Cumulative Review: Ratios and Proportions PreAlgebra

31

The relationship between the number textbooks purchased, x, and the total cost, in dollars, y, is represented by a graph drawn in an xy-plane. Points (1, 5) and (3, 15) lie on the graph. What does the ordered pair (3, 15) indicate? A 15 textbooks that cost $3 each B 3 textbooks that cost $15 each C 15 textbooks that cost a total of $3 D 3 textbooks that cost a total of $15

32

Laticia randomly surveyed the seventh-grade students in her school and asked them their favorite season. Of the students surveyed, 25% chose spring as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh-grade students surveyed, if 51 students chose spring?

A 15 B 75 C 150 D 200

33

Passengers on a train were randomly selected to participate in a survey. Of the 120 passengers who were surveyed, 86 were satisfied with the service. If a total of 3,000 passengers rode the train, how many of these passengers could be expected to be satisfied with the service?

A 850 B 1,120 C 2,150 D 2,250

34

The relationship between the length of one side of a square, x, and the perimeter of the square, y, can be represented in an xy-plane by a straight line. Which of the points with coordinates (x, y) lie on the line?

A (4, 12)

B (4, 16)

C (12, 4)

D (16, 4)

35

A crew of highway workers paved 15

2mile in 20 minutes. If they work at

the same rate, what portion of a mile will they pave in one hour?

A 150

1 B

45

2 C

5

2 D

2

5

36

The drawing of a road around a lake, shown right, has a scale of 1 inch to 5 meters. What is the total distance, in meters, of the actual road?

A 30 B 60 C 100 D 150

37

The table below shows dimensions of several parallelograms.

Base (feet)

Height (feet)

14 8

21 12

28 16

35 20

Which pair of dimensions is in the same proportion as each of the pairs shown in the table? A base of 42 feet and height of 26 feet B base of 56 feet and height of 28 feet C base of 63 feet and height of 36 feet D base of 70 feet and height of 44 feet

Cumulative

Review 11-02

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38

The table to the right shows the result of a survey of seventh grade students in the lunch line. If there are 245 seventh graders in the school, how many can be expected to prefer chocolate milk?

A 35 C 37

B 105 D 140

39

The scale drawing to the right represents the side of a ramp. In the scale drawing, one inch equals three kilometers. What is the actual area, in square kilometers, of the side of the ramp?

A 6 C 54

B 36 D 108

40

The drawing below represents a rectangular sandbox. In the scale drawing, one inch equals 50 feet. What is the actual area of the sandbox?

A 3 sq ft C 3,750 sq ft

B 150 sq ft D 7,500 sq ft

41

The table shows that the number of miles driven by Justin is directly proportional to the number of gallons used. What is the constant of proportionality for this relationship?

A 0.5 C 3

B 15 D 24.5

GASOLINE USAGE Number of

Gallons Used Number of

Miles Driven

7 171.5

15 367.5

25 612.5

42

The equation xy 10= gives Elsa’s

earnings in dollars, y, for working x hours. The table below shows Anna’s earnings at her job. How much more does Anna earn per hour than Elsa?

A $4 C $14

B $10 D $24

ANNA’S EARNINGS

Time, x (hours)

Earnings, y (dollars)

3 42

5 70

7 98

9 126

43

Last month Jonathan spent $27 to play 6 games. This month he spent $36 to play 8 games. If each of these games cost the same amount of money, what is the constant of proportionality between the money spent and the number of games played?

A 1.5 B 2.0 C 4.5 D 9.0

44

Mrs. Blatt gave her class 12 minutes to read. Carrie read 5.5 pages in that time. At what rate, in pages per hour, did Carrie read?

A 1.1 B 22 C 27.5 D 66

45

The cost of apples in a grocery store is directly proportional to the number of apples purchased. Michelle paid $2.52 for 6 apples. If p represents the cost, in dollars, and n represents the number of apples purchased, which equation best represents this relationship?

A np 42.0= B np 25.2= C np 6= D np 12.15=

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46

Which graph represents a proportional relationship?

A

B

C

D

47

At every game, a school buys bottles of water for its sports team. The table shows the relationship between the number of bottles bought and the total cost.

BOTTLED WATER SALES

Number of Bottles

Cost (dollars)

1 2.50

2 5.00

3 7.50

4 10.00

5 12.50

If kNC = , where C is the cost of N

bottles and k is the constant of proportionality, what is the value of k?

Answer ____________

In November, the school bought 175 bottles of water for the sports team. What was the total cost? Show your work.

Answer $ ____________

48

A German Shepherd weighed

2

170 pounds. Over the next

2

15 months, he grew to weigh

83 pounds. During the

2

15 months, what was the

average monthly weight gain of the dog, to the nearest tenth of a pound? Show your work.

Answer ____________pounds per month

49

The local library raised money by having a used book sale. Rena volunteered to help. Her task was to stick price labels on each of the 208 books on a bookshelf. In 3 minutes, Rena had labeled 16 books. At this rate, what was the total number of minutes Rena needed to label all 208 books? Show your work.

Answer ____________minutes

All 208 books Rena labeled were priced at $2.15 per book. By 6:00 pm, all but 60 of those books had been sold. What was the total amount of money collected from the sale of these books? Show your work.

Answer $ ____________

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Name: ____________________________________ Date: ____________

Cumulative Review: Expressions and Equations PreAlgebra

50

Which expression is equivalent to )34()57( −−− xx ?

A 811 −x B 211 −x C 83 −x D 23 −x

51

Which expression is equivalent to )2(2)35(2 −−− nn ?

A 28 −n B 212 +n C 108 −n D 28 +n

52

Which expression is equivalent to 7.24.155.4 +−+ ww ?

A )28(9.0 w+ C )23(4.2 w+

B )4(8.1 w+ D )2(6.3 w+

53

Which expression represents the sum of )73( ba − and )2( ba + ?

A ba 53 − B ba 93 − C ba 54 − D ba 94 −

54

An item costs n dollars. If the price of the item increases by 35%, the new price can be represented by the expression n + 0.35n. Which expression can also represent the new price?

A 35.1+n B n35.1 C n35.0 D n35

55

Which of the following expressions cannot be factored?

A x612 + B 2211 +x C 7x + 27 D 8060 +x

56

Which expression is NOT equivalent to the expression xx 918 − ?

A )12(9 −x B 9x C 9 D )36(3 −x

57

The expression below was simplified using two properties of operations.

Which properties were applied in steps 1 and 3, respectively?

A commutative property, then distributive property B commutative property, then identity property C associative property, then distributive property D associative property, then commutative property

58

Evaluate zw −+234 for 2−=w and 6−=z .

A 18 B -2 C -14 D 22

59

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. If c represents the cost of Sally’s groceries, which expression represents Sally’s grocery bill?

A 0.05c B 0.95c C 05.0−c D 95.0+c

Cumulative

Review 11-03

Page 8: 5 1 A 0.42; 16%; C ; 7%; 0 · 2016. 4. 4. · A 1.65p B 1.065p C p + 0.065 D 1 + 0.065 19 The expression 1.07(0.80p) represents the total amount Daniel paid for a new suit originally

60

Which steps can be used to solve for the value of y?

150)43(5

2=+y

A Divide both sides by 5

2, then subtract 43 from both sides.

B Subtract 43 from both sides, then divide both sides by 5

2.

C Multiply both sides by 5

2, then subtract 43 from both sides.

D Subtract 5

2from both sides, then subtract 43 from both sides.

61

Caroline was paid y dollars per hour for a 4-hour dance performance plus $55 for costumes. The total charge was $317. Which equation can be used to determine how much the Caroline charged per hour?

A 553174 +=y C 317)455( =+ y

B 553174 −=y D 317)455( =− y

62

Maxwell bought snacks to take to his team’s basketball practice. He bought a bowl of sliced oranges for $5.78, and he bought a 24-pack of water bottles. The total cost was $13.46 before tax was added. Which equation can be used to determine, w, the price for each water bottle?

A 46.13)78.5(24 =+w C 46.13)24(78.5 =+ w

B 46.132478.5 =+w D 46.1378.524 =+w

63

Which inequality represents the graph below?

A 5>x B 5≥x C 5<x D 5≤x

64

Andrew claims that the weight, w, of his dog is at most 60 pounds. What inequality represents his claim?

A 60≤w B 60≥w C 60<w D 60>w

65

Alessandra wants to earn at least $180.00 for her charity while running a race. She will earn $30.00 for participation plus $5.00 for each mile she runs. If m represents the number of miles she runs, which inequality represents the money Alexandra wants to earn?

A 180305 ≤+m C 180305 ≥+m

B 180530 ≤+m D 180530 ≥+m

66

Which inequality is shown on the accompanying graph?

A B C D

67

Which number is in the solution set of the inequality 1024 >+− x ?

A -2 B 2 C 3 D -4

68

Which inequality represents the statement below? Five less than 3 times x is greater than 25.

A 2535 >< x C 2553 >−x

B 2535 >− x D 5253 <+x

69

Craig went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for each game. What was the greatest number of games Craig could have played?

A 4 B 5 C 6 D 7

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70

Rewrite in simplest form.

)2(58)56(4 cdddc −−+−

Simplified form ________________

Write the simplified expression in factored form.

Factored form ________________

71

The total cost for food and drink for a party was less than $104. Assuming $80 was spent on food, and 8 bottles of Gatorade were purchased at a cost of d dollars per bottle, write an inequality to represent the possible cost of each bottle of Gatorade. Inequality __________________ What was the greatest amount that could have been spent on 1 bottle of Gatorade? Show your work.

Answer $_______________

72

What is the solution to the equation below?

10)3(2 =−x

Answer x = ___________

73

Use the diagram below to answer the following questions.

Part A Write a simplified expression for the perimeter of the rectangle.

Expression: __________________

Part B Write an equation for the perimeter of the rectangle.

Equation: ____________________

Part C Find the area of the diagram.

Area: ___________square inches

74

Jessica bought 2 packages of pens for $4.60 each and 4 notebooks for d dollars each. She spent a total of $36 for the packages of pens and the notebooks. Write an equation, using d, that represents the situation above.

Equation _____________________

Solve your equation and write the cost of 1 notebook in the answer blank. Show your work.

Answer $______________ Jessica returned to the store later that day and bought n more notebooks at the same price. This time she used a store coupon for $4.25 off her entire purchase. The total she spent was more than $24. Write an inequality to represent the situation.

Inequality ___________________

What was the least number of notebooks that Jessica could have bought this time? Show your work.

Answer _______________notebooks

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75

Doug earns $10.50 per hour working at a restaurant. On

Friday he spent 4

31 hours

cleaning, 3

12 hours doing

paperwork, and12

51 hours

serving customers. What were Doug’s earnings?

Answer $___________

76

Sammy drew a rectangle that was w inches wide. The

expression )(2)2(2 ww +

represents the perimeter of the rectangle that Sammy drew. Which statement relates the perimeter to the width of the rectangle?

A The perimeter is 6 inches more than the width.

B The perimeter is 6 times the width.

C The perimeter is 2 inches more than the width

D The perimeter is 2 times the width.

77

Ms. Messina earns $18.80 per hour for the first 40 hours she works in a week. She

earns2

11 times that amount

per hour for each hour beyond 40 hours in a week. Last week Ms. Messina worked 45.5 hours. How much money did she earn?

Show your work.

Answer $ ___________

A health insurance payment of $34.55 was deducted from Ms. Messina’s earnings for the week. After the insurance deduction, payroll taxes equal to 28% of the balance were deducted. What was the amount that Ms. Messina received?

Show your work.

Answer $ ___________

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Name: ____________________________________ Date: ____________

Cumulative Review: The Number System PreAlgebra

78

Which of the following describes a situation where the combination results in zero?

A The Saints gained 8 yards on a first down, and lost 6 yards on the second down.

B Hole #5 on Celebration Station’s Miniature Golf Course is a par 4. You took 5 putts to get the golf ball in the hole.

C Jeremiah’s family budgets $425.75 for back to school clothing and supplies for Jeremiah and his sister. After 3 days of shopping, Jeremiah’s family spent $315.50 on clothes and $110.25 on supplies.

D Alison ran 4.5 miles and burned 575 calories. When she finished she ate a hamburger that was 500 calories.

79

On Monday, the temperature change for a 6-hour period of time was

6

5− degree per hour. Which statement describes this change?

A The temperature rose 6 degrees.

B The temperature rose 6

15 degrees.

C The temperature fell 5 degrees.

D The temperature fell 6

56 degrees.

80

Which number is equivalent to

−−

3

4

3

1

5

4?

A 3

4− B

5

4− C

3

4 D

5

4

81

What is the value of the expression below?

7

67

A 6 B 7

13− C

7

13 D 6−

82

What is the value of the expression below?

4

5

3

2

5

4

3

2+

−+

−+

A 0 B 20

1 C

20

9 D

5

42

83

What is the value of the expression below?

−×

13

11

20

37

A 10

17 B

10

17− C

10

77 D

10

37−

84

Which expression represents the distance between points A and B on the number line below?

A 53 −− B 53 +− C 53 − D )5(3 −−−

Cumulative

Review 11-04

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85

Which fraction equals a repeating decimal?

A 20

3 B

16

5 C

12

7 D

50

11

86

The table shows prices for shoe rental, games, and snacks at the bowling alley.

Melany rented shoes, bowled 3 games, and bought 1 order of nachos.

She used a coupon for 2

1off the price of her bowling games. What

was Melany’s total cost before tax was added?

A $5.75 B $6.00 C $8.25 D $12.00

87

Carey High School had a banquet as a fundraiser for a new turf field. They sold 360 tickets for a total of $8,820. The expenses for the banquet were $9,378. What were the results of banquet?

A They made $2.45 per ticket sold. B They made a total of $558. C They lost $1.55 per ticket sold. D They lost a total of $198.

88

Sami bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. The items she bought cost a total of $160 before tax was added. What was the cost of each sweater?

A $20 B $35 C $40 D $45

89

Gianna makes pillows using 8

31 yards of fabric per pillow. She has

4

310 yards of fabric. What is the greatest number of pillows Gianna

can make?

A 6 B 7 C 8 D 9

90

Travis and Francesco earned a total of $90 for doing work around the

neighborhood. Francesco’s share was 4

3of this total amount. He wants

to use all of his share to buy video games that cost $13.50 each, tax included. How many video games can Francesco buy?

A 2 B 5 C 6 D 7

91

What is the value of the expression 02 ÷ ?

A 2 B 0 C 2− D undefined

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92

Which phrase correctly describes the location on the number line of the opposite of 7?

A A point 7 units to the left of -7

B A point 7 units to the right of -7

C A point 7 units to the left of 0

D A point 7 units to the right of 0

93

Write the addition modeled on the number line.

A 6)2(4 −=−+− C 4)2(6 −=−+−

B 6)2(0 −=−+ D 0)6(2 =−+−

94

From 1:00 a.m. to 7:00 a.m., the temperature dropped 2.25°C each hour. If the temperature at 1:00 a.m. was 15°C, what was the temperature at 7:00 a.m.? Show your work.

Answer ____________°C

95

Scientists determined that Antarctica’s average winter temperature was −34.44 °C. The difference between this temperature and Antarctica’s highest recorded temperature was 49.44 degrees. What was Antarctica’s highest recorded temperature?

A −83.88 °C B −15°C

C 15°C D 83.88 °C

96

On the first day of football training, the team ran at a rate of 4 ¼ miles per hour for 2 ½ hours before taking a break. How many miles did the team run before the break? Show your work.

Answer ____________ miles

97

Arnold’s monthly bank statement showed the following deposits and withdrawals:

20.25$− , 75.52$ , 04.22$− , 50.8$− , 11.94$ If Arnold’s balance in the account was $47.86 at the beginning of the month, what was the account balance at the end of the month? Show your work.

Answer $_______________

98

Convert 11

3to a decimal equivalent using long division.

Show your work.

Answer _______________

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Name: ____________________________________ Date: ____________

Cumulative Review: Statistics and Probability + Circles PreAlgebra

99

Vanessa rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which result is most likely?

A Vanessa will roll a 1 or a 2 about 50 times.

B Vanessa will roll a 1 or a 2 exactly 50 times.

C Vanessa will roll an even number about 150 times.

D Vanessa will roll an even number exactly 150 times.

100

The spinner has 8 equal sections labeled with colors. Each section of the spinner is the same size. If the arrow is spun 400 times, how many times would it be expected to land on a section labeled Green?

A 50 B 100 C 150 D 250

101

A box contains congruent colored cubes.

� 18

4of the cubes are red

� 18

7of the cubes are yellow

� 18

5of the cubes are orange

� 18

2of the cubes are green

Kimberly will choose a cube from the box without looking. Which color cube is Kimberly most likely to choose?

A red B yellow C orange D green

102

A storeowner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, which number is closest to the probability that the next customer will buy a blank card?

A 0.11 B 0.33 C 0.56 D 0.89

103

Sandra conducted an experiment with a spinner that contained 4 sectors: A, B, C, and D. She spun the arrow 24 times and recorded the frequencies in the table on the left.

Based on the data, what is the probability that the next spin will land on B?

A 4

1 B

3

1 C

8

3 D

12

1

Cumulative

Cumulative

Review 11-05

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104

Which of the following is not true about the double box plot below?

A The median amount of money raised by the eighth graders is $20.

B The mean amount of money raised by the seventh graders is $35.

C In general, the seventh graders raised more money than eighth graders.

D The interquartile range of the seventh grade was greater than the interquartile range of the eighth graders.

105

An owner of a restaurant wants to conduct a survey about possible menu changes. Which of the following sampling methods would produce a valid sample?

A Survey every fifth person entering the mall

B Survey five of his friends

C Survey every fifth person eating at the owner’s restaurant

D Survey every fifth person registered at the restaurant’s website

106

The 120 members of a school club had the opportunity to vote for club officers on Monday or Tuesday.

� 5

4of the members voted on Monday

� 6

1of the members who did not vote on

Monday voted on Tuesday How many of the club members did not vote at all?

A 24 B 20 C 15 D 4

107

Which statement is true about the double box-and-whisker plot?

A Half of the test scores in your class are between 85 and 100.

B 25% of the test scores in your friend’s class are 80 or above.

C The medians are the same for both classes.

D The test scores in your friend’s class are more spread out than the test scores in your class.

108

Ms. Andrews made the line plots below to compare the quiz scores for her first-period math class and her second-period math class. She gave the same quiz to each class.

QUIZ SCORES

What conclusion can Ms. Andrews make about the performance of her first- and second-period classes?

A The first-period class had a higher median score than the second-period class.

B The second-period class scores had a higher mean than the first-period class scores.

C The first-period class scores had a greater range than the second-period class scores.

D The second-period class scores had a greater mean absolute deviation than the first-period class scores.

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109

Rosemary completed reading a book in 4 days. On Monday, she read 8 pages. For each of the next 3 days, the number of pages she read increased by 50% over the number of pages she read on the previous day. Gerard read the same book, but he read an equal number of pages per day from Monday through Friday. How many pages did Gerard read per day for the 5 days?

A 9.6 B 10 C 13 D 16.25

110

Mike has a collection of 2,400 music CDs. He considers 6

1of his

collection to be country music. Of the country music CDs, 40% are by

solo artists. Of the solo artists, 5

1are by male artists. Exactly how

many of Mike’s CDs are by male solo country artists?

A 16 B 32 C 1440 D 1840

111

Marsha has 5 T-shirts, 3 pairs of jeans, and 2 jackets. How many different outfits can Marsha make using one T-shirt, one pair of jeans, and one jacket?

A 10 B 30 C 15 D 60

112

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash?

A

B

C

D

113

If the radius of a circle is 10 cm, what is the diameter?

A 20π cm B 5π cm C 20 cm D 5 cm

114

A circle has a circumference that measures 12π inches. What is the

radius, in inches, of the circle?

A 6 B 12 C 18 D 24

115

A circle has a radius of 3.6 feet. What is the circumference, in feet, of the circle?

A 3.6π ft B 7.2π ft C 12.96π ft D 25.92π ft

116

If the diameter of a circle is 6 inches, what is the area of a circle in terms of π ?

A 6π sq.

in.

B 12π sq.

in.

C 9π sq.

in.

D 36π sq.

in.

117

The area of a circle is 100π square centimeters. What is the diameter, in centimeters of the circle?

A 100 cm B 10 cm C 50 cm D 20 cm

118

The circumference of a circle is 6π feet. What is the area in square feet, of the circle?

A 12π sq. ft

B 3π sq. ft C 9π sq. ft D 36π sq. ft

119

The circumference of a circle is 12.57 centimeters. What is the best estimate for the length of the radius of the circle?

A 2 cm B 8 cm C 4 cm D 16 cm

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120

Here are grades from one student in Mr. Estrella’s 6th period class.

88 87 100 100 92 85 50 Part A Determine if there is an outlier in the set. Show your work.

Part B Why would using the mean to describe the data set be misleading?

121

On average, 75% of the days in Franklin Square are sunny, with little or no cloud cover. Describe a model that you could use to find the experimental probability of sunny days each day for a week in Franklin Square.

122

The tables show the amount of money raised by the homerooms for two grade levels at a middle school.

Part A: Find the mean absolute deviation for the 6th grade data set. Round to the nearest hundredth. Show your work.

6th

grade MAD __________

Part B: Find the mean absolute deviation for the 7th grade data set. Round to the nearest hundredth. Show your work.

7th

grade MAD __________

Part C Write a sentence or two comparing the variations, based on the mean absolute deviations found in Part A and Part B.

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123

Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4?

A

B

C

D

124

To select a new school mascot, 20 randomly selected students in each grade were asked to choose between the two finalists: tiger and eagle. The results are shown below.

Which statement is best supported by the results?

A The preferred mascot is a tiger.

B The preferred mascot is an eagle.

C Fifth and sixth grade students at the school preferred an eagle mascot.

D Seventh and eighth grade students at the school preferred an eagle mascot.

125

The circumference of a circle is 11π inches. What is the area, in square inches, of the

circle? Express your answer in terms of π . Show your work.

Answer __________ square inches

126

The test scores of the students in Mr. Duffy’s class are shown on the line plot below.

Most of the students in Ms. Guzman’s class scored higher than most of the students in Mr. Duffy’s class on the same test. Which line plot could represent the test scores of the students in Ms. Guzman’s class?

A

B

C

D