Name: Class : Assessment pack Grade 7 · ____ 23. A stock lost $2.25 of its value each day for 5 consecutive days. What is an interpretation of the product ? a. The stock lost $0.45

Name: ____________

Class : _______

Assessment pack

Grade 7

Assessment pack year 7

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. Subtract. Express your answer in simplest form.

a. − 1

3 c. −1

b. − 12 d. 1

3

____ 2. Add. Express your answer in simplest form.

a.

c.

b.

d.

____ 3. Evaluate for –13 and –50. a. 37 c. 63 b. –63 d. –37

____ 4. A submarine descends to a depth of 480 meters below sea level. Write an integer to represent this situation. Then find the additive inverse of the integer, and tell what it represents. a. Integer: +480

Additive Inverse: –480 The additive inverse represents the distance, in meters, that the submarine would need to rise to return to sea level.

c. Integer: –480 Additive Inverse: +480 The additive inverse represents the distance, in meters, that the submarine would need to rise to return to sea level.

b. Integer: –480 Additive Inverse: +480 The additive inverse represents the distance, in meters, that the submarine would need to descend to return to sea level.

d. Integer: +480 Additive Inverse: –480 The additive inverse represents the distance, in meters, that the submarine would need to descend to return to sea level.

____ 5. An investment lost $975. Write an integer to represent this situation. Then find the additive inverse of the integer, and tell what it represents. a. Integer: –975

Additive Inverse: +975 The additive inverse represents the amount, in dollars, that the investment would have to earn to return to its starting value.

c. Integer: +975 Additive Inverse: –975 The additive inverse represents the amount, in dollars, that the investment would have to earn to return to its starting value.

b. Integer: –975 Additive Inverse: +975 The additive inverse represents the amount, in dollars, that the investment would have to lose to return to its starting

d. Integer: +975 Additive Inverse: –975 The additive inverse represents the amount, in dollars, that the investment would have to lose to return to its starting

value. value.

____ 6. Find the opposite of . a. c. 8 b. d. 0

____ 7. Find the difference . a. c. 8 b. d. 18

____ 8. Multiply. Express your answer in simplest form.

a.

c.

b.

d.

____ 9. Divide. Express your answer in simplest form.

a.

c.

b.

d. 2


a.

c.

b. 2 d. 4


a.

c.

b.

d.

____ 12. Find the quotient 40 ÷ (–5). a. 8 c. 35 b. –8 d. –7

____ 13. Multiply . a. 60 c. b. d.

____ 14. Multiply . a. b.

____ 15. Multiply . a. 0.1078 c. 21.07 b. 10.78 d. 107.8

____ 16. Find the quotient . a. 12 c. b. 0.083 d.

____ 17. Divide . a. 4 c. 2.3 b. 2.02 d. 1.98

____ 18. Find the quotient of . a. c. b. d. 5

____ 19. Write the fraction as a decimal. If necessary, round your answer to the nearest hundredth. a. 0.28 c. 0.5 b. 0.18 d. 0.09

____ 20. Which decimal is equivalent to ?

a. 0.625 c. 0.87 b. 0.875 d. 0.78

____ 21. Which pair of numbers is not equal? a.

0.8 and c.

0.18 and

b. 0.08 and

d. 0.85 and

____ 22. Convert to a decimal.

a. 2.25 c. 0.25 b.

d. 0.44

____ 23. A stock lost $2.25 of its value each day for 5 consecutive days. What is an interpretation of the product ?

a. The stock lost $0.45 per day. b. The stock lost $7.25 over the 5-day period. c. The stock lost $11.25 over the 5-day period. d. The stock lost $11.25 per day.

____ 24. Which of the following products is negative?

a.

b.

c.

d.

____ 25. Convert to a decimal.

a. b. c. 1.75 d.

____ 26. The decimal equivalent of is a repeating decimal. How many digits are in the repeating part of the

decimal?

a. 1 b. 2 c. 3 d. 6

____ 27. Suppose the repeating pattern in 0.020020200202002... continues forever. Is the number rational?

a. Yes, because the number is equivalent to the repeating decimal . b. Yes, because the number is a terminating decimal. c. No, because the number is not a terminating decimal. d. No, because the number is not a repeating decimal.

____ 28. Find the quotient.

a. 2 110

c. 1613

b. 1123

d. 213

____ 29. The elevator in a downtown skyscraper goes from the top floor down to the lowest level of the underground parking garage. If the building is 490 feet tall and the elevator descends 540 feet from top to bottom, how far underground does the parking garage go? a. 1,030 feet c. 1020 feet b. 50 feet d. 40 feet

____ 30. Tamela’s school day is hours. She has seven classes that are hour long. How many hours is Tamela

not in class while she is at school?

a.

b.

c. d.

____ 31. Harriet paid $349.65 for 7 fruit trees. If each of the trees cost the same, what is the cost for one tree? a. $58.27 c. $41.09 b. $49.95 d. $49.90

____ 32. You can get 640 calories from eating 8 apples. How many calories can you get from eating 1 apple? a. 80 calories per apple c. 82 calories per apple b. 83 calories per apple d. 81 calories per apple

____ 33. The Jackson family drove 496 miles in 8 hours. Which is the unit rate in fraction form? a.

c.

b.

d.

____ 34. The cost of 24 pounds of cat food is $54. What is the cost per pound of cat food? a. $2.20 c. $2.00 b. $2.50 d. $2.25

____ 35. It took Jaytree 42 seconds to rip about half a DVD. About what is Jaytree’s “ripping rate” in DVDs per minute? a. about 84 DVDs per minute c.

about 125 DVDs per minute

b. about 7

20 of a DVD per minute d.

about 710 of a DVD per minute

____ 36. If it takes Carlos 15 weeks to make 3 birdhouses, how long will it take him to make 11 birdhouses? a. 45 weeks c. 75 weeks b. 55 weeks d. 165 weeks

____ 37. Marlin bought 4 ham sandwiches and 2 bags of chips for $22.50. If the chips cost $0.75 per bag, how much did each sandwich cost? a. $5.25 c. $21.00 b. $5.44 d. $24.00

____ 38. Jason rode his bike 26 miles at a constant speed for 2 hours. How long will it take him to ride 104 miles at the same speed? a. 4 hours c. 5 hours b. 7 hours d. 8 hours

____ 39. Determine the unit rate of a marathon runner who travels miles in hour.

a. 10 miles per hour

b. miles per hour

c. mile per hour

d. mile per hour

____ 40. One-quarter of a bread recipe calls for cup of bread flour. How many cups are needed per recipe?

a.

cup

b. cup

c. cup

d. cups

____ 41. You earn $40 shoveling snow off 5 sidewalks. You charge the same amount for each sidewalk. How much will you earn if you shovel 3 sidewalks? a. $16 b. $20 c. $24 d. $36

____ 42. Determine whether the ratios are proportional. a. not proportional b. proportional

____ 43. Determine whether the ratios and are proportional. a. proportional b. not proportional

____ 44. Determine whether the ratios are proportional. a. proportional b. not proportional

____ 45. Tell whether the graph represents a direct variation. If so, write the equation of direct variation.

a. direct variation; c. direct variation; b. not a direct variation

d. direct variation;

____ 46. Which ratio is equivalent to the ratio 4 to 9? a.

c. 16:36

b.

d. 2:3

____ 47. Which of the following ratios do not form a proportion? a.

c.

b.

d.

____ 48. Sarah’s pay for two weeks was $158.16. If she worked 8 hours the first week and 4 hours the second, what was her rate of pay? a. $3.23 per hr c. $22.60 per hr b. $13.18 per hr d. $31.64 per hr

____ 49. The mass of a block of stone is 3,200 kg. If the block has a volume of , what is its density? Remember, density is mass per unit of volume. a. c. b. d.

____ 50. An automobile traveled 320 miles in 6 hours. What is its average speed? a. 60 miles per hour c. 53 miles per hour b.

60 miles per hour d.

53 miles per hour

____ 51. Ignacio is going on vacation. He needs to drive 579 miles in 8 hours. What is his average speed in miles per hour? a. 63 miles per hour c. 67 miles per hour

b. 65 miles per hour d. 69 miles per hour

____ 52. The graph shows the distance a boat is traveling over time. Does the boat travel at a constant or variable speed? How fast is the boat traveling?

a. constant speed; 17.5 mi/h c. constant speed; 35 mi/h b. constant speed; 70 mi/h d. variable speed; 70 mi/h

____ 53. Three pounds of ground beef costs $2.00. What is the unit rate? a. $0.50/pound c. $1.50/pound b. $0.67/pound d. $2.00/pound

____ 54. Your favorite brand of cereal comes in four different sized boxes. Which size is the lowest unit rate?

a. 15 oz c. 24 oz b. 18 oz d. 32 oz

____ 55. Write and then solve the proportion. 8 is to 12 as p is to 18. a.

b.

c.

d.

____ 56. Match the proportion with its solution.

a. 27 b. 2 c. 5

____ 57. What does the ordered pair represent on a graph showing how much money Ty has earned at his $9 per hour job? a. It shows that he hasn’t earned any money in the first hour of work. b. It shows that he hasn’t started working.

____ 58. Darryl is reading a book at the rate of 4.5 pages per minute. What ordered pair on a graph of his reading rate would represent the number of minutes it would take him to read 90 pages? a. c. b. d.

____ 59. The table below shows the number of pages Gabrielle read during summer vacation. Is the relationship between the number of pages and the number of days a proportional relationship? Why or why not? Days Pages

1 85 2 170 3 249 4 340 5 435

a. The relationship is proportional because the ratio of pages to days is 85. b. The relationship is proportional because the ratio of pages to days is 87. c. The relationship is not proportional because the number of pages is not constant. d. The relationship is not proportional because the ratio of pages to days is not constant.

____ 60. Tell whether the relationship is a proportional relationship. If so, give the constant of proportionality.

a. The relationship is proportional. The constant of proportionality is 2.5. b. The relationship is proportional. The constant of proportionality is 5. c. The relationship is proportional. The constant of proportionality is 20. d. The relationship is not proportional.

____ 61. Find the missing value for the proportional relationship, in which the number of cents depends on the number of minutes. Minutes Cents

3 60 7 140

13 16 320 23 460

a.

b. 20 c. 220 d. 260

____ 62. The graph shows how the number of people p seated at an event is related to the number of tables t provided. Tell whether the quantities are in a proportional relationship. If so, write an equation that represents the relationship.

a.

proportional;

b. proportional; c. proportional; d. The quantities are not in a proportional relationship.

____ 63. If the price of gold went from $460 an ounce to $483 an ounce in one week, what was the percent change in the price of gold? a. 4.8% increase c. 5% increase b. 4.8% decrease d. 5% decrease

____ 64. A new novel is selling for $21.95. If it is on sale at 20% off, find the amount of the discount and the sale price. a. $0.44, $21.51 c. $4.39, $26.34 b. $4.39, $17.56 d. $20.00, $1.95

____ 65. The tip for excellent service in a restaurant is $20 for every $100 of the meal. What is the total bill (cost of meal plus tip) for a $60 meal?

a. $12.00

b. $48.00 c. $72.00 d. $120.00

____ 66. Simplify . a. 11 c. 19 b. d.

____ 67. A toy superstore is selling a video game for a special price. The store receives shipments on Monday, Wednesday, and Friday. The table shows the number of video games shipped to the store and the number sold during the week. Use this information to find the number of the video games the store has left at the end of the week.

Received Sold Monday 23 15 Tuesday 6 Wednesday 27 7 Thursday 19 Friday 41 28 a. 75 c. 91 b. 16 d. –16

____ 68. Evaluate 1 – v for v = –18. a. –17 c. –19 b. 17 d. 19

____ 69. Terri withdrew $17 from her savings account. The current balance is $33. How much was the balance before her withdrawal? a. $16 b. $50

____ 70. Simplify . a. b. 30

____ 71. Find the product . a. c. 2 b. d. 50

____ 72. Find the product . a. 117 c. b. 4 d.

____ 73. Find the product of . a. c. 2 b. d. 48

____ 74. Find the product . a. c. 1 b. d. 42

____ 75. Find the quotient . a. c. 5 b. d. 8,000

____ 76. Laura paid $27 for three books. If all of the books cost the same, how much did one book cost? a. $24 c. $81 b. $9 d. $0.90

____ 77. Subtract. Express your answer in simplest form. 2 5

11 – 1 311

a. 1 211 c. 3 8

11 b. 1 5

22 d. 1322

____ 78. Ali caught a fish that weighed lb. Lisa caught a fish that weighed lb. How much more did Ali’s fish

weigh? a.

lb c.

lb

b. lb

d. lb

____ 79. Two carpenters are building a fence. After 5 minutes, one carpenter is finished of the way and the other is

finished of the way. How much of the way ahead of the second carpenter is the first carpenter? a. 25

14 of the way c. 2556 of the way

b. 1328 of the way d. 39

56 of the way

____ 80. Kevin hiked Bright Angel Trail that gains 388 miles of elevation up the mountain. Kevin then hikes down

Bright Angel Trail to where he started his hike. Which best describes the total gain in elevation for the entire hike? a. 3

88 mi c. 0 mi

b. 3176 mi d. 3

44 mi

____ 81. Evaluate for . Express your answer is in simplest form.

a. 0.005 c. 50.0 b. 20.0 d. 200


a.

c.

b.

d. 2


a.

c.

b. 2 d. 4

____ 84. Multiply. Express your answer in simplest form. − 7

9 • 12

a. − 718 c. − 7

3 b. − 14

9 d. − 754

____ 85. Which decimal is equivalent to ?

a. 0.58 c. 0.625 b. 0.85 d. 0.375

____ 86. Beth bought 22 trading cards, of which 20 were sports cards. Which decimal shows what portion of the cards were sports cards? a. 2.833 c. 0.647 b. d. 0.2833

____ 87. Which fraction is equivalent to 0.625? a.

c.

b.

d.

____ 88. Convert to a fraction in simplest form. a.

c.

b.

d.

____ 89. During a review game, Mr. Pai’s class correctly answered 69 questions on the first try. If there were 72 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal. Round to the nearest hundredth. a. 0.958 c. 0.042 b. 1.043 d. 0.096

____ 90. Which of the following products is negative?

a.

b.

c.

d.

____ 91. The table shows the different bids Kevin has received for fixing the sprinklers and trimming the bushes and trees. What is the average bid? Bid Number Bid Amount

Bid 1 $180.47 Bid 2 $160.16 Bid 3 $210.50 Bid 4 $260.00 Bid 5 $200.37

a. $112.93 c. $564.65 b. $1,011.50 d. $202.30

____ 92. If you can type 1080 words in 40 minutes, then how many words per minute can you type? a. 180 words/min c. 27 words/min b. 31 words/min d. 9 words/min

____ 93. The cost of 24 pounds of cat food is $54. What is the cost per pound of cat food? a. $2.20 c. $2.00 b. $2.50 d. $2.25

____ 94. Jerome went on a hike. He climbed three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles per hour? a.

mile per hour c.

mile per hour

b. miles per hour

d. miles per hour

____ 95. Terry drove 366 miles in 6 hours at a constant speed. How long would it take him to drive 427 miles at the same speed? a. 3 hours c. 7 hours b. 6.5 hours d. 61 hours

____ 96. A carpenter lays 16 square feet of tile in of an hour. How many square feet of tile does the carpenter lay

per hour?

a. 24 square feet per hour b.

square feet per hour

c. square feet per hour

d. square foot per hour

____ 97. A shoreline is eroding at a rate of foot per 3 months. How many feet are eroding per year?

a.

foot per year

b. foot per year

c. feet per year

d. 9 feet per year

____ 98. The graph shows the distance Julie walks over time. Does she walk at a constant or variable speed? How fast is Julie walking?

a. variable speed; 8 mi/h c. constant speed; 4 mi/h b. constant speed; 2 mi/h d. constant speed; 8 mi/h

____ 99. Tell whether the relationship is a proportional relationship. Explain why or why not.

a. The relationship is proportional because a single line can be drawn through all the points

and the line passes through the origin. b. The relationship is proportional because a single line can be drawn through all the points. c. The relationship is not proportional because a single line can be drawn through the points

but it does not pass through the origin. d. The relationship is not proportional because a single line cannot be drawn through all the

points.

____ 100. Find the missing value for the proportional relationship, in which the cost in dollars depends on the number of widgets. Widgets Dollars

6 45

12 90 225

36 270 48 360

a.

b. 18 c. 24 d. 30

Short Answer

1. A tractor-trailer was loaded with tons of grapefruit and ton of dry ice to keep the grapefruit chilled.

During the trip, ton of dry ice evaporated. What was the total weight of the cargo when it arrived at its

destination? Write and solve an equation to find the total weight. Explain each step in your solution.

2. On Saturday Emil has hours of free time. He plans to go skateboarding for hour and read for hour.

Does he also have time to watch a half-hour TV program and spend hour doing some gardening? Show

your work and explain your answer.

3. The temperature at 8:00 a.m. was ° C. By 1:00 p.m. the temperature had increased by 148° C. By 6:00

p.m. it had decreased by 68° C. What was the temperature at 6:00 p.m.?

4. Explain why both and are positive.

5. What values can m have if ? Locate each value on the number line and explain your answer.

6. Subtract.

7. Solve the problem by first expressing the given data as a difference of positive and negative numbers. Then,

compute the difference and answer the question. Adam climbed Mt. Stony to an elevation of 3116 m above sea level. He also explored the lowest point of Cranmore Canyon 1143 m below sea level. What is the difference between the two levels?

8. What is the inverse operation of subtraction?

9. Which of these numbers when divided by 6 will result in a repeating decimal?

48 50 51 54 57 58 60 62

10. Write a fraction that is equivalent to 0.35.

11. Michelle bought 80 trading cards. 36 of the cards were sports cards. Write the decimal that shows how many

of the cards were sports cards.

12. Victoria needs sugar for a certain recipe. The original recipe calls for cup sugar. However, Victoria wants

to make a recipe that is times larger. Use the distributive property to find the product.

13. The cooking class used 18 cups of flour to make 8 identical loaves of bread. How many cups of flour were

needed for each loaf? Express each answer as a mixed number in simplest form.

14. Blake rode his bike 104 miles at a constant speed for 8 hours. How long did it take him to ride 26 miles?

15. A diagram uses the scale 1 in. : 6 ft. Given a length of 7 in. on the drawing, find the corresponding actual

length.

16. The table lists the gallons of gasoline needed for a car to travel a given number of miles. Complete the table.

Miles 108 162

Gas (Gallons) 6 11

17. Use the cross products property to solve the proportion.

18. Tell whether the ratios form a proportion.

19. Tell whether the ratios form a proportion.

20. Complete the table with the equivalent values.

Percent Fraction Decimal

4.94

21. A timer is started as a ball is dropped from a certain height and its velocity measured. After 0 seconds, the ball is falling at 0 feet per second. After 2 seconds, the ball is falling at 64 feet per second. After 3 seconds, the ball is traveling at 144 feet per second. Is this a proportional relationship? Explain why or why not.

22. Plot the points in the table on the coordinate plane and draw the line that passes through the points. Are the

number of notebooks and the number of pages in a proportional relationship? Explain why or why not. Notebooks Pages

2 60 3 90 4 120 5 150

23. A retailer buys a shirt in bulk at a unit price of $18. The shirt is marked up 36% to sell in the store. What is

the price of the shirt in the store?

24. Justin works as a car salesman. Last week, he had a total of $42,000 in sales. If his commission is 2%, how

much did Justin earn last week?

25. What is the percent of change if 18 is increased to 45?

26. Locate and its opposite on the number line. Explain how you found each number.

27. Find the sum.

28. The table shows the results from a survey where people rated the service at a restaurant. Find the fraction of

people who were very satisfied, satisfied, dissatisfied, or very dissatisfied with the service. Very satisfied 41

100

Satisfied 9100

Neither satisfied or dissatisfied

21100

Dissatisfied 3100

Very dissatisfied 1350

29. A ship's anchor was dropped from a height of 1.4 m above the water to a depth of 10.8 m. How far did the

anchor drop?

30. Is equal to ? Explain.

31. Find the sum. Simplify if possible.

32. The dimensions of last year's cornfield were three times the dimensions of this year's field. If the dimensions

last year were 8.25 km by 5.7 km, what are the dimensions this year?

33. You purchase 5 movie tickets, which cost a total of $34.75. How much did one movie ticket cost?

34. A factory makes sheet metal. If each sheet is inch thick, how tall is the stack if there are 14 sheets? Show

your work.

35. Justin’s car can travel 528 miles on 16 gallons of gasoline. What is the number of miles per gallon?

36. The scale on a floor plan is 1 in.:12 ft. Find the actual distance, in feet, for a length of 2 in. on the floor plan.

37. The shadow cast by a house is 55 feet long. At the same time, a flagpole that is 15 feet tall casts a 25 foot long

shadow. How tall is the house?

38. Jenna ran a 30,000 meter cross country race in 4 hours. What was her average speed, in meters/hour?

39. What is the price per unit if grapefruits are 4 for $ 1.48?

40. What is the direct variation equation for the data in the table?

41. What is the constant of variation for the set of data in the table?

42. A car with a diesel engine travels 663 miles using 13 gallons of fuel. Suppose that the relationship between the distance traveled and the amount of fuel used by this car is proportional. Write an equation to represent this relationship. Define any variables you use.

43. Jeremy has $5,400 in his savings account. If the bank pays 4.5% interest per year on savings, how much

interest does he earn in one year?

44. The price of a train ticket from Orlando to Atlanta is normally $118.00. However, the train company is

offering a special 75% discount to children under the age of 16. What is the sale price of a ticket from Orlando to Atlanta for someone under the age of 16?

45. The price of milk increased from $3.25 to $3.75. What is the percent of change for the price of milk to the

nearest tenth?

assessment pack year 7 Answer Section

MULTIPLE CHOICE

1. ANS: C PTS: 1 REF: 9b128a91-9631-11dd-8a40-001185f11039

OBJ: Adding and Subtracting Fractions with Like Denominators NAT: NT.CCSS.MTH.10.7.7.NS.1 LOC: MTH.C.03.002 | MTH.C.03.06.02.003 TOP: Adding and Subtracting Rational Numbers KEY: fraction | like denominators | addition | subtraction | rational number MSC: DOK 1

2. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1 MSC: DOK 1

3. ANS: A PTS: 1 REF: 94dc3fa7-9631-11dd-8a40-001185f11039 OBJ: Evaluating Expressions with Integers NAT: NT.CCSS.MTH.10.7.7.NS.1 | NT.CCSS.MTH.10.7.7.NS.1.c LOC: MTH.C.06.02.003 | MTH.C.10.05.02.02.013 TOP: Subtracting Integers KEY: evaluate | expression | integers | subtraction MSC: DOK 2

4. ANS: C PTS: 1 REF: 90e99524-6ab2-11e0-9c90-001185f0d2ea OBJ: Finding the Additive Inverse NAT: NT.CCSS.MTH.10.7.7.NS.1.a | NT.CCSS.MTH.10.7.7.NS.1.b TOP: Additive Inverse and Absolute Value KEY: integers | additive inverse MSC: DOK 2

5. ANS: A PTS: 1 REF: 90ebf77f-6ab2-11e0-9c90-001185f0d2ea OBJ: Finding the Additive Inverse NAT: NT.CCSS.MTH.10.7.7.NS.1.a | NT.CCSS.MTH.10.7.7.NS.1.b TOP: Additive Inverse and Absolute Value KEY: integers | additive inverse MSC: DOK 2

6. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1.b MSC: DOK 1

7. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1.c MSC: DOK 1

8. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2 MSC: DOK 1


10. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2 MSC: DOK 2

11. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2 MSC: DOK 2

12. ANS: B PTS: 1 REF: 93579dcd-9631-11dd-8a40-001185f11039 OBJ: Dividing Integers NAT: NT.CCSS.MTH.10.7.7.NS.2 | NT.CCSS.MTH.10.7.7.NS.2.b LOC: MTH.C.06.02.007 TOP: Dividing Integers KEY: integer | division MSC: DOK 2

13. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.a MSC: DOK 1

14. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.a

MSC: DOK 1

15. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.a MSC: DOK 2

16. ANS: A PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.b MSC: DOK 2

17. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.b MSC: DOK 2

18. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.b MSC: DOK 2

19. ANS: B PTS: 1 REF: 95098ca1-9631-11dd-8a40-001185f11039 OBJ: Using Mental Math to Write Fractions as Decimals NAT: NT.CCSS.MTH.10.7.7.NS.2.d LOC: MTH.C.01.03.06.02.001 | MTH.C.04.06.004 TOP: Equivalent Fractions and Decimals KEY: convert | decimal | fraction | rational number MSC: DOK 2

20. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.d MSC: DOK 2

21. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.d MSC: DOK 2

22. ANS: A PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.d MSC: DOK 2

23. ANS: C

The interpretation of the product is that the stock lost $11.25 over the 5-day period.

Feedback A The stock did not lose $2.25 over the 5-day period. B The product of and 5 is not $7.25. C That’s correct! D The interpretation of the product is not the amount that the stock lost per day.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.a KEY: interpreting products MSC: DOK 1

24. ANS: D The product of any negative number and any positive number is negative.

Feedback A The product of two positive numbers is not negative. B The product of two negative numbers is not negative. C The product of two negative numbers is not negative. D That’s correct!

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.a

KEY: multiplying rational numbers | negative product MSC: DOK 1

25. ANS: B

Feedback A

Check if the decimal equivalent of terminates or repeats.

B That’s correct! C You divided 14 by 8 instead of dividing 8 by 14. D

Divide 8 by 14 to convert to a decimal.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.d KEY: convert rational numbers to decimals | repeating decimal MSC: DOK 1

26. ANS: C

Since , the repeating part of the decimal equivalent of has 3 digits.

Feedback A Use long division to convert the rational number to a decimal. Then determine the

number of digits in the repeating part. B Use long division to convert the rational number to a decimal. Then determine the

number of digits in the repeating part. C That’s correct! D Use long division to convert the rational number to a decimal. Then determine the

number of digits in the repeating part.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.d KEY: convert rational numbers to decimals | repeating decimal MSC: DOK 2

27. ANS: A A number is rational if its decimal equivalent terminates or repeats. Since 0.020020200202002... repeats 5 digits, is the decimal form of a rational number.

Feedback A That’s correct! B The “ ” indicates that the number does not terminate. C Review the definition of a rational number. D Check the number again to determine if the digits repeat.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.d KEY: rational number | repeating decimal MSC: DOK 2

28. ANS: B PTS: 1 REF: MLC30329 NAT: NT.CCSS.MTH.10.7.7.NS.2 | NT.CCSS.MTH.10.7.7.NS.3 TOP: Dividing Fractions KEY: fraction | improper | divide | reduce MSC: DOK 1

29. ANS: B PTS: 1 REF: 9ab0f093-9631-11dd-8a40-001185f11039 OBJ: Application NAT: NT.CCSS.MTH.10.7.7.NS.1 | NT.CCSS.MTH.10.7.7.NS.3

LOC: MTH.C.10.05.02.02.013 | MTH.C.06.02.003 TOP: Subtracting Integers KEY: expression | integer | evaluate | subtraction MSC: DOK 2

30. ANS: A

To find how many hours Tamela is in class, multiply 7 by .

Subtract from to find the number of hours Tamela is not in class while she is at school.

Tamela is not in class for hours while she is in school.

Feedback A That’s correct! B This is how many hours Tamela is in class. C This is how many hours Tamela is not in class if she only had one class. D This is how many hours Tamela is not in class during a 24-hour day.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.3 KEY: multiplying rational numbers | subtracting rational numbers MSC: DOK 2

31. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.EE.3 | NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate | unit cost MSC: DOK 1

32. ANS: A PTS: 1 REF: 95bc5e2b-9631-11dd-8a40-001185f11039 NAT: NT.CCSS.MTH.10.7.7.RP.1 LOC: MTH.C.06.02.007 KEY: rate | unit rate MSC: DOK 1

33. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate MSC: DOK 1

34. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate | unit cost MSC: DOK 1

35. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate | mixed numbers MSC: DOK 1

36. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate MSC: DOK 2

37. ANS: A PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 | NT.CCSS.MTH.10.7.7.RP.3 KEY: unit rate | unit cost MSC: DOK 2

38. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate MSC: DOK 2

39. ANS: A

To find the unit rate, divide the number of miles, , by the number of hours, .

Thus, the unit rate is 10 miles per hour.

Feedback A That’s correct! B Do not add the number of miles and the number of hours. Divide the number of miles

by the number of hours. C Do not multiply the number of miles by the number of hours. Divide the number of

miles by the number of hours. D Do not divide the number of hours by the number of miles. Divide the number of miles

by the number of hours.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: compute unit rate MSC: DOK 1

40. ANS: D

Divide , the number of cups of bread flour, by .

Thus, cups of bread flour is needed per recipe.

Feedback A Do not multiply the fraction of the recipe by the number of cups. Divide the number of

cups by the fraction of the recipe. B Do not subtract the fraction of the recipe from the number of cups. Divide the number

of cups by the fraction of the recipe. C Do not add the fraction of the recipe to the number of cups. Divide the number of cups

by the fraction of the recipe. D That’s correct!


41. ANS: C PTS: 1 REF: M3.07.EN.ST.03 NAT: NT.CCSS.MTH.10.7.7.RP.2 KEY: ratio | proportion | unit rate MSC: DOK 1

42. ANS: A PTS: 1 REF: 95c122e7-9631-11dd-8a40-001185f11039 OBJ: Comparing Ratios in Simplest Form NAT: NT.CCSS.MTH.10.7.7.RP.2.a LOC: MTH.C.09.03.002 TOP: Identifying and Writing Proportions KEY: compare | ratio MSC: DOK 2

43. ANS: A PTS: 1 REF: 95c38545-9631-11dd-8a40-001185f11039 OBJ: Comparing Ratios in Simplest Form NAT: NT.CCSS.MTH.10.7.7.RP.2.a LOC: MTH.C.09.03.002 TOP: Identifying and Writing Proportions KEY: compare | ratio MSC: DOK 2

44. ANS: B PTS: 1 REF: 95c3ac55-9631-11dd-8a40-001185f11039 OBJ: Comparing Ratios Using a Common Denominator NAT: NT.CCSS.MTH.10.7.7.RP.2.a LOC: MTH.C.09.03.002 TOP: Identifying and Writing Proportions MSC: DOK 2

45. ANS: C PTS: 1 REF: 965ea633-9631-11dd-8a40-001185f11039 OBJ: Identifying a Direct Variation from a Graph NAT: NT.CCSS.MTH.10.7.7.RP.2.a LOC: MTH.C.10.07.02.04.002 | MTH.C.10.07.02.04.004 TOP: Direct Variation MSC: DOK 2

46. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.a MSC: DOK 2

47. ANS: C PTS: 1 REF: MLC10435 NAT: NT.CCSS.MTH.10.7.7.RP.2.a TOP: Writing and Solving Proportions KEY: ratio | proportion MSC: DOK 1

48. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.b MSC: DOK 1

49. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.b MSC: DOK 1

50. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.b MSC: DOK 1

51. ANS: B PTS: 1 REF: 95bc853b-9631-11dd-8a40-001185f11039 OBJ: Finding Average Speed NAT: NT.CCSS.MTH.10.7.7.RP.1 | NT.CCSS.MTH.10.7.7.RP.2.b LOC: MTH.C.09.02.02.002 TOP: Rates KEY: rate | average speed MSC: DOK 2

52. ANS: C PTS: 1 REF: 9652934d-9631-11dd-8a40-001185f11039 OBJ: Using Rate of Change to Solve Problems NAT: NT.CCSS.MTH.10.7.7.RP.2.b LOC: MTH.C.10.07.02.01.01.003 TOP: Slope and Rates of Change KEY: rate of change | solving MSC: DOK 2

53. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.b MSC: DOK 2

54. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.b MSC: DOK 2

55. ANS: A PTS: 1 REF: MGR70051 NAT: NT.CCSS.MTH.10.7.7.RP.2.c TOP: Writing and Solving Proportions KEY: solve | proportion | write MSC: DOK 1

56. ANS: A PTS: 1 REF: M2.08.EN.CTA.15 NAT: NT.CCSS.MTH.10.7.7.RP.2.c KEY: solving proportions MSC: DOK 1

57. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.d KEY: proportional relationship | ordered pairs MSC: DOK 1

58. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.d KEY: proportional relationship | ordered pairs MSC: DOK 2

59. ANS: D To determine if the relationship is proportional, find the ratio of the number of pages to the number of days.

Since the ratios are not constant, the relationship is not proportional.

Feedback A To determine if the relationship is proportional, find the ratio of the number of pages to

the number of days. If the ratios are constant, then the relationship is proportional. B To determine if the relationship is proportional, find the ratio of the number of pages to

the number of days. If the ratios are constant, then the relationship is proportional. C It is the ratio of the number of pages to the number of days that must be examined to tell

whether the relationship is proportional. D That’s correct!

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.a KEY: proportional relationship | ratio MSC: DOK 2

60. ANS: B The relationship is proportional, because the data points lie on a line, and the line goes through the origin. To find the constant of proportionality, divide the number of bags by the number of hours.

Thus, the constant of proportionality is 5.

Feedback A To find the constant of proportionality, divide the number of bags by the number of

hours. B That’s correct! C To find the constant of proportionality, divide the number of bags by the number of

hours. D The data lie on a line, and the line goes through the origin, so the relationship is

proportional.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.b | NT.CCSS.MTH.10.7.7.RP.2.a KEY: proportional relationship | constant of proportionality | unit rate MSC: DOK 1

61. ANS: D Divide the number of cents by the number of minutes to find the constant of proportionality.

Multiply 13 by the constant of proportionality, 20.

Thus, the missing value is 260.

Feedback A Do not divide by the constant of proportionality. B This is the constant of proportionality. How can you use it to complete the table? C Find the constant of proportionality. D That’s correct!

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.b KEY: find missing value in table | constant of proportionality | ratio | table MSC: DOK 1

62. ANS: B

The graph is a line that includes , so the quantities are in a proportional relationship. Use the ratio of

for the slope of the line. Since is a point on the graph, the slope is , so the equation is .

Feedback A

Use the ratio of for the slope of the line.

B That’s correct! C

Use the ratio of for the slope of the line.

D If the graph is a line that includes , then the quantities are in a proportional

relationship. Use the ratio of for the slope of the line.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.c | NT.CCSS.MTH.10.7.7.RP.2.a | NT.CCSS.MTH.10.K-12.MP.4 KEY: graphing | constant of proportionality | direct variation MSC: DOK 2

63. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.3 MSC: DOK 2

64. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.3 MSC: DOK 2

65. ANS: C Divide 20 by 100 to find the constant of proportionality of the amount of the tip to the cost of the meal.

Multiply 0.2 by 60 to find the amount of the tip.

Add the amount of the tip, $12, to the amount of the meal, $60, to find the total bill. The total bill is $72.00.

Feedback A This is the amount of the tip. B Add the amount of the tip to the cost of the meal. C That’s correct! D Use a proportional relationship to find the amount of the tip.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.3 | NT.CCSS.MTH.10.7.7.RP.2.b KEY: proportional relationship | percent | gratuity | ratio | constant of proportionality MSC: DOK 1


67. ANS: B PTS: 1 REF: 9aa9a269-9631-11dd-8a40-001185f11039 OBJ: Application NAT: NT.CCSS.MTH.10.7.7.NS.1 | NT.CCSS.MTH.10.7.7.NS.3 LOC: MTH.C.06.02.001 | MTH.C.10.05.02.02.013 TOP: Adding Integers KEY: expression | integer | evaluate | addition MSC: DOK 2

68. ANS: D PTS: 1 REF: 9ab0c983-9631-11dd-8a40-001185f11039 OBJ: Evaluating Expressions with Integers NAT: NT.CCSS.MTH.10.7.7.NS.1 | NT.CCSS.MTH.10.7.7.NS.1.c | NT.CCSS.MTH.10.7.7.NS.3 LOC: MTH.C.06.02.003 | MTH.C.10.05.02.02.013 TOP: Subtracting Integers KEY: expression | integer | evaluate | subtraction MSC: DOK 1

69. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1.c MSC: DOK 1

70. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.a MSC: DOK 1

71. ANS: A PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.a MSC: DOK 1

72. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.a MSC: DOK 1



75. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.b MSC: DOK 2

76. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.b | NT.CCSS.MTH.10.7.7.NS.3 MSC: DOK 1

77. ANS: A PTS: 1 REF: 8fc1d57f-9631-11dd-8a40-001185f11039 OBJ: Subtracting Like Fractions and Mixed Numbers NAT: NT.CCSS.MTH.10.7.7.NS.1 LOC: MTH.C.03.002 | MTH.C.03.06.02.003 TOP: Adding and Subtracting with Like Denominators KEY: fraction | like fraction | mixed number | subtraction MSC: DOK 2

78. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1 | NT.CCSS.MTH.10.7.7.NS.1.d MSC: DOK 2

79. ANS: C PTS: 1 REF: 9574d727-9631-11dd-8a40-001185f11039 OBJ: Application NAT: NT.CCSS.MTH.10.7.7.NS.1 TOP: Adding and Subtracting Fractions KEY: addition | fraction | subtraction MSC: DOK 2

80. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1.a KEY: rational numbers | opposites MSC: DOK 1

81. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2 MSC: DOK 1


83. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2

MSC: DOK 2

84. ANS: A PTS: 1 REF: 9580c2fd-9631-11dd-8a40-001185f11039 OBJ: Multiplying Fractions NAT: NT.CCSS.MTH.10.7.7.NS.3 | NT.CCSS.MTH.10.7.7.NS.2.b TOP: Multiplying Fractions and Mixed Numbers KEY: fraction | multiplication MSC: DOK 2


86. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.d MSC: DOK 2


88. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.d MSC: DOK 2

89. ANS: A PTS: 1 REF: 950e515d-9631-11dd-8a40-001185f11039 OBJ: Application NAT: NT.CCSS.MTH.10.7.7.NS.2.d LOC: MTH.C.01.03.06.02.001 TOP: Equivalent Fractions and Decimals KEY: convert | decimal | fraction | rational number MSC: DOK 2

90. ANS: D The product of any negative number and any positive number is negative.

Feedback A The product of two positive numbers is not negative. B The product of two negative numbers is not negative. C The product of two negative numbers is not negative. D That’s correct!

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.a KEY: multiplying rational numbers | negative product MSC: DOK 1

91. ANS: D PTS: 1 REF: 95642695-9631-11dd-8a40-001185f11039 NAT: NT.CCSS.MTH.10.7.7.NS.3 TOP: Dividing Decimals KEY: multi-step MSC: DOK 2

92. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate MSC: DOK 1

93. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate | unit cost MSC: DOK 1

94. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate | fractions MSC: DOK 1

95. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate MSC: DOK 2

96. ANS: A

Divide the number of square feet, 16, by the number of hours, . Thus, the unit rate is , or 24

square feet per hour.

Feedback A That’s correct! B Do not add the number of square feet to the number of hours. Divide the number of

square feet by the number of hours. C Do not multiply the number of square feet by the number of hours.

Divide the number of square feet by the number of hours. D Do not divide the number of hours by the number of square feet. Divide the number of

square feet by the number of hours.


97. ANS: C Convert the number of months, 3, to the number of years by writing a fraction with a denominator of 12.

Divide , the number of feet, by , the number of years.

Thus, the shoreline is eroding feet per year.

Feedback A Do not divide the number of feet by the number of months. Convert the number of

months to an equivalent number of years. B Do not divide the number of years by the number of feet. Divide the number of feet by

the number of years. C That’s correct! D Convert the number of months to an equivalent number of years. Then divide the

number of feet by the number of years.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 | NT.CCSS.MTH.10.K-12.MP.2 KEY: compute unit rate | unit analysis MSC: DOK 2

98. ANS: C PTS: 1 REF: 965030ef-9631-11dd-8a40-001185f11039 OBJ: Using Rate of Change to Solve Problems NAT: NT.CCSS.MTH.10.7.7.RP.2.b LOC: MTH.C.10.07.02.03.002 | MTH.C.10.07.02.01.01.002 TOP: Slope and Rates of Change KEY: rate of change | solving MSC: DOK 2

99. ANS: D Notice that you cannot draw a single straight line through all the points. Thus, the relationship is not a proportional relationship.

Feedback A Notice that a single line can be drawn through at most three points. B A relationship is proportional if the graph of the data forms a straight line and passes

through the origin. C Notice that a single line can be drawn through at most three points. D That’s correct!

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.a KEY: proportional relationship | graphing MSC: DOK 1

100. ANS: D Divide the number of dollars by the number of widgets to find the constant of proportionality.

Divide the number of dollars, 225, by the constant of proportionality, .

Thus, the missing value is 30.

Feedback A This is the constant of proportionality. It represents the cost of just 1 widget. B Find the constant of proportionality. C Find the constant of proportionality. D That’s correct!

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.b KEY: find missing value in table | constant of proportionality | ratio | table MSC: DOK 1

SHORT ANSWER

1. ANS:

The LCD is 40.

Find the LCD of the denominators. Rewrite each fraction with the LCD. Add and subtract the fractions, and change the improper fraction to a mixed number.

The cargo weighed tons when it arrived at its destination.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1 MSC: DOK 3

2. ANS:

No, he does not have enough time. He needs hour, or 1 minute more, to be able to do all the activities.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1 MSC: DOK 3

3. ANS: ° C

PTS: 1 REF: MSM3.02.02.CP.44 NAT: NT.CCSS.MTH.10.7.7.EE.3 | NT.CCSS.MTH.10.7.7.NS.1 | NT.CCSS.MTH.10.7.7.NS.1.c | NT.CCSS.MTH.10.7.7.NS.1.d KEY: problem solving MSC: DOK 2

4. ANS: The absolute value represents the distance from 0 on a number line. Distance cannot be negative. Both and are 8 units from 0 on the number line.

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1.b MSC: DOK 2

5. ANS: The value of m can be 3 or –3. represents the distance from 0 on a number line. Distance can go left or right, so there are two possible values.


6. ANS: 189

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.1.c MSC: DOK 1

7. ANS: 3116 ( 1143) = 4259; 4259 m

PTS: 1 REF: MSM2.06.03.CP.43 NAT: NT.CCSS.MTH.10.7.7.NS.1.c KEY: problem solving MSC: DOK 1

8. ANS: addition

PTS: 1 REF: M2.07.EN.CTA.13 NAT: NT.CCSS.MTH.10.7.7.NS.1.c KEY: inverse operations MSC: DOK 1

9. ANS: 50, 58, 62

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.NS.2.d MSC: DOK 2

10. ANS:


11. ANS: 0.45


12. ANS:

Rewrite as and substitute the new expression for .

Rubric 1 point for product; 1 point for using distributive property

PTS: 2 NAT: NT.CCSS.MTH.10.7.7.NS.2.a KEY: distributive property | multiplying rational numbers MSC: DOK 1

13. ANS:

2 cups

PTS: 1 REF: MSM2.08.02.CP.61 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: problem solving | unit rate MSC: DOK 1

14. ANS: 2 hours

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate MSC: DOK 2

15. ANS: 42 ft

PTS: 1 REF: MLC10067 NAT: NT.CCSS.MTH.10.7.7.RP.2 KEY: scale drawings | scales MSC: DOK 1

16. ANS:

Miles 108 162 198 Gas (Gallons) 6 9 11

PTS: 1 REF: M2.08.EN.CTC.16 NAT: NT.CCSS.MTH.10.7.7.RP.2 KEY: proportions MSC: DOK 1

17. ANS: 7

PTS: 1 REF: M2.CR.7-9.EN.21 NAT: NT.CCSS.MTH.10.7.7.RP.2 | NT.CCSS.MTH.10.7.7.RP.2.c KEY: cross products | proportion MSC: DOK 1

18. ANS:

yes

PTS: 1 REF: MLC30384 NAT: NT.CCSS.MTH.10.7.7.RP.2.a TOP: Writing and Solving Proportions KEY: ratio | proportion MSC: DOK 1

19. ANS: yes

PTS: 1 REF: M2.08.EN.CTB.26 NAT: NT.CCSS.MTH.10.7.7.RP.2.a KEY: ratios | proportions MSC: DOK 1

20. ANS:

494%,

PTS: 1 REF: M2.09.EN.CTC.03 NAT: NT.CCSS.MTH.10.7.7.RP.2.c KEY: percents | fractions | decimals MSC: DOK 1

21. ANS:

No; and are not equivalent ratios, so the relationship is not proportional.

Rubric 1 point for correct answer; 1 point for explanation

PTS: 2 NAT: NT.CCSS.MTH.10.7.7.RP.2.a | NT.CCSS.MTH.10.K-12.MP.3 KEY: proportional relationship | nonexample MSC: DOK 2

22. ANS:

The number of notebooks and the number of pages are in a proportional relationship because the line that passes through the points goes through the origin. Rubric 1 point for correct graph; 1 point for proportional relationship; 1 point for explanation

PTS: 3 NAT: NT.CCSS.MTH.10.7.7.RP.2.a | NT.CCSS.MTH.10.K-12.MP.5 KEY: proportional relationship | coordinate plane | table MSC: DOK 2

23. ANS: $24.48

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.3 MSC: DOK 2

24. ANS: $840

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.3 KEY: percent | commission MSC: DOK 2

25. ANS: 150%

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.3 KEY: percent of change MSC: DOK 2

26. ANS: The problem asks for the negative of , or . Since is 6 units to the left of 0 on the number line, count 6 units to the right from 0 to find its opposite, 6.


27. ANS: 0

PTS: 1 REF: M1.11.EN.CTC.12 NAT: NT.CCSS.MTH.10.7.7.NS.1.b KEY: adding integers MSC: DOK 1

28. ANS: 79100

PTS: 1 REF: 95a70fed-9631-11dd-8a40-001185f11039 NAT: NT.CCSS.MTH.10.7.7.NS.3 | NT.CCSS.MTH.10.7.7.NS.1 TOP: Adding and Subtracting Fractions MSC: DOK 2

29. ANS: 12.2 m

PTS: 1 REF: MSM3.02.03.CP.136 NAT: NT.CCSS.MTH.10.7.7.EE.3 | NT.CCSS.MTH.10.7.7.NS.1 | NT.CCSS.MTH.10.7.7.NS.1.b | NT.CCSS.MTH.10.7.7.NS.1.c | NT.CCSS.MTH.10.7.7.NS.1.d KEY: problem solving MSC: DOK 2

30. ANS:

Yes, because is a quotient of two integers with opposite signs. The quotient will be negative. The

expression is the same as the opposite of . The quotient is positive because it is a quotient of two

integers with the same sign. The opposite of this quotient is negative. So, .

Rubric 1 point for answer; 1 point for explanation

PTS: 2 NAT: NT.CCSS.MTH.10.7.7.NS.2.b KEY: dividing rational numbers MSC: DOK 2

31. ANS:

PTS: 1 REF: M3.05.EN.CTA.05 NAT: NT.CCSS.MTH.10.7.7.NS.1 | NT.CCSS.MTH.10.7.7.NS.3 KEY: adding mixed numbers MSC: DOK 1

32. ANS: 2.75 km by 1.9 km

PTS: 1 REF: MSM2.02.03.CP.27 NAT: NT.CCSS.MTH.10.7.7.NS.3 | NT.CCSS.MTH.10.7.7.EE.3 KEY: problem solving MSC: DOK 2

33. ANS: $6.95

PTS: 1 REF: MS2.MF.1_6.EN.06 NAT: NT.CCSS.MTH.10.7.7.NS.3 KEY: word problem MSC: DOK 2

34. ANS:

The stack of sheets is inches tall.

Rubric 1 point for answer; 1 point for showing work

PTS: 2 NAT: NT.CCSS.MTH.10.7.7.NS.3 KEY: multiplying rational numbers MSC: DOK 1

35. ANS: 33

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.1 KEY: unit rate MSC: DOK 1

36. ANS: 24 ft

PTS: 1 REF: MSM2.08.Quiz2.Eng.11 NAT: NT.CCSS.MTH.10.7.7.RP.2 KEY: scale drawings MSC: DOK 1

37. ANS: 33 ft

PTS: 1 REF: MS2.MF.1_13.EN.85 NAT: NT.CCSS.MTH.10.7.7.RP.2 | NT.CCSS.MTH.10.7.7.RP.2.c KEY: similar figures MSC: DOK 2

38. ANS: 7,500 meters/hour

PTS: 1 NAT: NT.CCSS.MTH.10.7.7.RP.2.b MSC: DOK 1

39. ANS: $0.37


40. ANS:


41. ANS:


42. ANS: Let d be the distance the car travels in miles. Let f be the amount of diesel fuel used, in gallons.

The fuel efficiency of the car is , or 51 miles per gallon.

So, an equation for this relationship is . Rubric 1 point for defining variables for distance and amount of fuel; 1 point for writing an equation with a correct constant of proportionality,

such as or

PTS: 2 NAT: NT.CCSS.MTH.10.7.7.RP.2.c | NT.CCSS.MTH.10.K-12.MP.4 KEY: writing equations | constant of proportionality MSC: DOK 2

43. ANS: $243


44. ANS: $29.50

PTS: 1 REF: 96d117d3-9631-11dd-8a40-001185f11039 OBJ: Using Percent of Change NAT: NT.CCSS.MTH.10.7.7.RP.3 LOC: MTH.C.09.05.04.001 TOP: Percent of Change KEY: percent change | percent decrease | percent increase MSC: DOK 2

45. ANS: 15%


Documents

Name: Class : Assessment pack Grade 7 · ____ 23. A stock lost $2.25 of its value each day for 5 consecutive days. What is an interpretation of the product ? a. The stock lost $0.45