cumulative review 11-01 · 2017. 4. 4. · if necessary, round your answer to the nearest...

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

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Page 1: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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

Page 2: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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 David 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

Page 3: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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 ________ %

Page 4: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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

Page 5: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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

Page 6: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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 $ ____________

Page 7: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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 35.1n 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 2w and 6z .

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 05.0c D 95.0c

Cumulative

Review 11-03

Page 8: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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

150)43(5

2y

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 5x B 5x C 5x D 5x

64 Andrew claims that the weight, w, of his dog is at most 60 pounds. What

inequality represents his claim?

A 60w B 60w C 60w D 60w

65 Alessandro wants to earn at least $180.00 for his charity while running a

race. He will earn $30.00 for participation plus $5.00 for each mile he

runs. If m represents the number of miles he runs, which inequality

represents the money Alessandro 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

Page 9: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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

Page 10: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

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 $ ___________

Page 11: Cumulative Review 11-01 · 2017. 4. 4. · If necessary, round your answer to the nearest hundredth. A 7.65 B 37.78 C 2.65 D 0.38 Br 4 ian bought a new iPadfor x dollars. ... A $3,000

Name: ____________________________________ Date: ____________

Cumulative Review: The Number System PreAlgebra

Cumulative

Review 11-04

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

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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

Review 11-05

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104 Which of the following can not be proven

using 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 20 cm B 5 cm C 20 cm D 5 cm

114 A circle has a circumference that measures 12 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 3.6 ft B 7.2 ft C 12.96 ft D 25.92 ft

116 If the diameter of a circle is 6 inches, what is the area of a circle in

terms of ?

A 6 sq.

in.

B 12 sq.

in.

C 9 sq.

in.

D 36 sq.

in.

117 The area of a circle is 100 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 6 feet. What is the area in square

feet, of the circle?

A 12 sq.

ft

B 3 sq. ft C 9 sq. ft D 36 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 20

Part A Which statistical measure would best represent

the scores of this student?

A Mean

B Median

C Mode

D Mean Absolute Deviation

Part B Justify your answer to Part A.

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 11 inches.

What is the area, in square inches, of the

circle? Express your answer in terms of . 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