6th grade to 7th grade Summer Packet - District - Home Practice.pdf · 6th grade to 7th grade Summer Packet ... Each student in the seventh grade will be required to write three papers

Name: ______________________ Class: _________________ Date: _________ ID: A

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6th grade to 7th grade Summer Packet

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 1. Each student in the seventh grade will be required to write three papers that are a total of 13 pages long. If there are 47 students in the seventh grade, approximately how many sheets of paper will the seventh grade need to complete these assignments?a. 60 sheets of paper c. 917 sheets of paperb. 500 sheets of paper d. 5 sheets of paper

____ 2. Ai-ling creates a new board game. Her board game uses toothpicks as game pieces. Each board game requires 20 toothpicks. If Ai-ling has 479 toothpicks, how many of her board games will she be able to put together?a. 9,600 board games c. 24 board gamesb. 27 board games d. 22 board games

____ 3. In round 1 of a phone tree, a person calls 4 people. In round 2, each person in round 1 calls 4 more people, and so on. How many calls will be made during round 5?a. 1,024 calls c. 625 callsb. 512 calls d. 20 calls

____ 4. Evaluate 35 + 31 + 55 + 29.a. 160 c. 150b. 90 d. 75

____ 5. Identify a pattern in the sequence 6, 60, 12, 120, 24, 240, 48, ... Name the next three terms.a. 10, 96, 19 c. 5, 24, 2b. 43, 53, 48 d. 480, 96, 960

____ 6. Evaluate the expression to find the missing values in the table.x x + 29 1115 ?27 ?

a. 24, 42 c. 26, 38b. 13, 25 d. 17, 29

____ 7. A comic book costs $2. How much is the total cost of 2, 3, 4, or 5 comic books?a. $4, $6, $8, $10 c. $6, $8, $10, $5b. $3, $4, $6, $8 d. $4, $5, $6, $7

____ 8. Isabel wrote 11 letters to friends each month for x months in a row. Write an expression to show the total number of letters Isabel wrote.a. 11

x c. 11 + x

b. 11x d. 11 – x____ 9. Write the phrase “the product of 12 and 89” as a numerical or algebraic expression.

a. 12 − 89 c. (12)(89)b. 12 ÷ 89 d. 12 + 89

Name: ______________________ ID: A

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____ 10. Write the phrase “z divided by 2” as a numerical or algebraic expression.a. z • 2 c. z ÷ 2b. 2 ÷ z d. 2 − z

____ 11. To find out which colors are popular for cars, a parking lot was sampled. The results are shown in the table. If there are k fewer green cars than blue cars, write an algebraic expression for the number of green cars.

Color Number of Cars

Black 38Blue 19Red 30

White 27Other 32

a. k− 19 c. k + 19b. 19 − k d. 19 + k

____ 12. A rectangle has a length of 8 inches. The table shows the area of the rectangle for different widths. Write an expression that can be used to find the area of the rectangle when its width is w inches.

Length (in.)

Width (in.) Area (in2)

8 2 168 3 248 4 328 w ?

a. w + 8 c. 40b. 8w d. 32 + w

____ 13. Determine whether b = 23 is a solution to b + 27 = 50.a. Since 621 ≠ 50, 23 is not a solution to b + 27 = 50.b. Since 73 ≠ 50, 23 is not a solution to b + 27 = 50.c. Since 50 = 50, 23 is a solution to b + 27 = 50.d. Since −4 ≠ 50, 23 is not a solution to b + 27 = 50.

____ 14. Solve the equation m + 10 = 53. Check your answer.a. m = 43 c. m = 63b. m = 53 d. m = 44

____ 15. The recipe you are using indicates that a mixture should be heated to a temperature of 212°F. The mixture is currently at 88°F. How many more degrees d does the mixture need to be heated?a. 124°F c. 134°Fb. 123°F d. 300°F

____ 16. Write “12 is 8 subtracted from y” as an algebraic equation. Then find the solution.a. 12 = 8 − y; y = −20b. 12 = y− 8; y = 4c. 12 = y− 8; y = 20d. 12 = 8 − y; y = −4

Name: ______________________ ID: A

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____ 17. I-chen is making dough for her class for an art project. The recipe requires 110 the amount of salt as it

does flour. If I-chen uses 16 cups of salt, how many cups of flour will she need?a. 13

5 cups c. 6 cupsb. 26 cups d. 160 cups

____ 18. Find the quotient.3.9 ÷ 3a. 0.9 c. 0.13b. 13 d. 1.3

____ 19. Evaluate 3.6 ÷ x for x = 2.a. 1.6 c. 0.18b. 18 d. 1.8

____ 20. Mr. and Mrs. Wodehouse’s 5 children are buying a cake for their parents’ wedding anniversary. The cake costs $24.10. If the children split the cost equally, how much will each person pay?a. $48.20 c. $0.48b. $4.82 d. $19.10

____ 21. Find the quotient.4.14 ÷ 4.5a. 0.92 c. 0.092b. 9.2 d. 1.08695652174

____ 22. If you are making 22 sandwiches for a family reunion and 6 slices of turkey come in each package, how many packages will you need to buy?a. 3.67 packages c. 3.35 packagesb. 3 packages d. 4 packages

____ 23. Ms. White is making bookmarks for her first grade class. Each bookmark has a gold tassel.If 8 bookmarks come in a package, how many packages will she need for her 30 students?a. 3.75 packages c. 4 packagesb. 6.08 packages d. 6 packages

____ 24. Mr. Gonzalez’s sixth-grade class is putting on a play. He reserved the first 6 rows of the auditorium for family members and friends of the 24 students in his class. If each row contains 17 seats and each student can invite the same number of guests, how many guests can each student invite?a. 8 guests c. 4 guestsb. 5 guests d. 9 guests

____ 25. Solve the equation u × 5.6 = 6.16. Check your answer.a. u = 34.5 c. u = 1.1b. u = 1 d. u = 0.77

____ 26. The area of a rectangular rug in Monica’s living room is 212.5 square feet. If the length of the rug is 17 feet, what is the width?a. 3,613 feet c. 12.5 feetb. 14.6 feet d. 11.8 feet

____ 27. Find the GCF of 63, 72, and 24.a. 2 c. 4b. 6 d. 3

Name: ______________________ ID: A

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____ 28. Write the decimal 1.23 as a fraction or mixed number.a. 1

23 c. 1 23100

b. 115 d. 23

100

____ 29. Write 525 as an improper fraction.

a. 525 c. 12

5

b. 275 d. 7

5

____ 30. Compare. Write <, >, or =.12 ? 3

5

a. = b. < c. >____ 31. Paul needs 4

7 gallon of gas to mow the lawn. He has 12 gallon. Does he have enough gas to mow the

lawn?a. yes b. no

____ 32. Order 711 , 7

13 , and 513 from least to greatest.

a. 711 , 7

13 , 513 c. 7

13 , 513 , 7

11

b. 513 , 7

11 , 713 d. 5

13 , 713 , 7

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____ 33. A rare species needs at least 56 of its diet to be bamboo. One day an animal of this species eats 13

pounds of food, 10 pounds of which are bamboo. Does the animal eat enough bamboo?a. Yes; 5

6 is greater than 1013 . c. Yes; 5

6 is less than 1013 .

b. No; 56 is greater than 10

13 . d. No; 56 is less than 10

13 .

____ 34. Peter surveyed his friends and family to see what they like to drink with breakfast. He found that 110

of the people like to drink grapefruit juice and 310 of them like to drink orange juice. The rest prefer

either milk or water. What part of the people surveyed prefer grapefruit or orange juice with breakfast? Express your answer in simplest form.a. 3

20 c. 15

b. 120 d. 2

5

____ 35. Evaluate the expression v + 118 for v = 7

18 . Express your answer in simplest form.

a. 49 c. 2

9

b. 16 d. 1

3

____ 36. A bag of hot dog buns contains 8 buns, and a package of hot dogs contains 10 hot dogs. How many packages of each are needed so that each of the 40 campers has hot dogs and buns with none left over?a. 5 bags of buns, 4 packages of hot dogs c. 2 bags of buns, 2 packages of hot dogsb. 8 bags of buns, 10 packages of hot

dogsd. 4 bags of buns, 5 packages of hot dogs

Name: ______________________ ID: A

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____ 37. If a glass of milk was 12 full and then 3

8 of the glass was drunk, how full is the glass now?

a. 13 c. 1

5

b. 18 d. 1

16

____ 38. A rubber band is 118 inches unstretched and 13

4 inches when it is fully stretched. How much does it stretch?a. 19

31 inches c. 58 inches

b. 2033 inches d. 21

32 inches____ 39. Subtract. Express your answer in simplest form.

7 25 − 2 3

5

a. 415 c. 51

5

b. 545 d. 44

5

____ 40. Ivan is burning a CD for his friend. It is a 43-minute CD, and he has already burned 15 13 minutes.

How much more is left to burn?a. 28 1

3 minutes c. 27 23 minutes

b. 28 23 minutes d. 27 1

3 minutes

____ 41. A small bag of carrots weighs 812 ounces. If this is 33

4 ounces less than a larger bag of carrots, how much does the larger bag weigh?a. 108

9 ounces c. 1238 ounces

b. 1079 ounces d. 121

4 ounces

____ 42. Two stacks of books together are 712 inches tall. If one stack is 43

4 inches tall, how tall is the other?

a. 317 inches c. 25

8 inches

b. 234 inches d. 3 inches

____ 43. Selena is making cookies. To make one dozen cookies, she needs 34 cup of brown sugar. How many

cups of brown sugar does Selena need to make 4 23 dozen cookies?

a. 31112 cups c. 11

2 cups

b. 5 512 cups d. 31

2 cups

____ 44. In a fish tank, 811 of the fish have a red stripe on them. If 16 of the fish have red stripes, how many

total fish are in the tank?a. 21 fish c. 20 fishb. 22 fish d. 26 fish

____ 45. Find the mean of the data set 18, 36, 24, 36, 30, and 36.a. 26 c. 36b. 27 d. 30

Name: ______________________ ID: A

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____ 46. Which year has been the most expensive for computers so far? Use the line graph to answer the question.

a. 2002 c. 2003b. 2000 d. 2001

____ 47. Why is the bar graph misleading? What might people believe from the misleading graph?

a. The vertical axis labeling is not constant; People might believe that Ravi and Terrance jumped about the same height. In reality, Ravi jumped twice as high as Terrance.

b. The lower part of the vertical scale is missing; People might believe that Ravi and Terrance jumped about the same height. In reality, Ravi jumped twice as high as Terrance.

c. The vertical axis labeling is not constant; People might believe that Ravi and Terrance jumped about the same height. In reality, Terrance jumped twice as high as Ravi.

d. The lower part of the vertical scale is missing; People might believe that Ravi and Terrance jumped about the same height. In reality, Terrance jumped twice as high as Ravi.

____ 48. A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour, how many tablespoons of milk must the chef add?a. 97 tablespoons c. 392 tablespoonsb. 1.13 tablespoons d. 72 tablespoons

Name: ______________________ ID: A

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____ 49. A light-year is a unit used to measure large distances in space. One light-year is approximately equal to 5.88 trillion miles. On a map of the Milky Way Galaxy, the scale is 3 inches:50 light-years. If two stars on the map are 18 inches apart, about how far apart are they in the galaxy?a. 411 light-years c. 1.08 light-yearsb. 16.67 light-years d. 300 light-years

____ 50. What percent of the squares in the model are shaded?

a. 95% c. 0.95%b. 0.05% d. 5%

____ 51. Alberto is a waiter. He waits on a table of 4 whose bill comes to $110.05. If Alberto receives a 15% tip, about how much will he receive?a. $16.50 c. $16.05b. $126.55 d. $5.50

____ 52. Hisako sells dolls at her doll store. If she sells a doll for $35, and there is 6% sales tax, what is the total cost of the doll? Round your answer to the nearest cent.a. $37.10 c. $32.90b. $41.55 d. $2.10

Name: ______________________ ID: A

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____ 53. Use the diagram to name two lines.

a. T, U c. TX, VYb. VT

→⎯⎯

, TX→⎯⎯

d. TX→←⎯⎯

, UY→←⎯⎯

____ 54. Find the unknown angle measure. The angles are supplementary.

a. c = 112° c. c = 168°b. c = 12° d. c = 102°

Name: ______________________ ID: A

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____ 55. Identify a possible pattern. Use the pattern to draw the next figure.

a. Triangles appear in a clockwise pattern starting in the top heart.

b. Triangles appear in a clockwise pattern starting in the top heart.

c. Triangles appear in a clockwise pattern starting in the top heart.

d. Triangles appear in a clockwise pattern starting in the top heart.

____ 56. Convert 7 gallons to cups.a. 14 cups c. 16 cupsb. 112 cups d. 126 cups

____ 57. Gloria is selling orange juice during halftime at a basketball game. If she has 18 pints of juice, how many 1-cup servings can she sell?a. 9 servings c. 72 servingsb. 144 servings d. 36 servings

____ 58. Alsea Bay Bridge in Oregon is about 970 yards long. About how many feet is this?a. 2,910 ft c. 11,640 ftb. 81 ft d. 323 ft

Name: ______________________ ID: A

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____ 59. Find the perimeter of the figure.

a. 72 cm c. 57 cmb. 60 cm d. 144 cm

____ 60. Find the area of the trapezoid.

a. 42.7 m2 c. 11.9 m2

b. 18.9 m2 d. 6.1 m2

____ 61. Donny needs to put carpet in the hallway of his house, and drew the following diagram. All of the sides of the figure are 4 feet long, except for the two longer sides that are each 8 feet long. All angles in the figure are right angles. What is the area of Donny’s hallway?

a. 56 ft2 c. 128 ft2

b. 96 ft2 d. 80 ft2

Name: ______________________ ID: A

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____ 62. Find the area of the circle. Use 227 for π. Round your answer to the nearest hundredth.

a. 99 cm2 c. 198 cm2

b. 12,474 cm2 d. 3,118.5 cm2

____ 63. Identify the number of faces, edges, and vertices on the three-dimensional figure.

a. 8 faces, 6 edges, and 12 vertices c. 4 faces, 6 edges, and 4 verticesb. 6 faces, 8 edges, and 12 vertices d. 6 faces, 12 edges, and 8 vertices

____ 64. Name the three-dimensional figure represented by the object.

a. cylinder c. polyhedronb. circular prism d. cone

____ 65. Find the volume of the triangular prism.

a. 33 m3 c. 441 m3

b. 540 m3 d. 270 m3

Name: ______________________ ID: A

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____ 66. An aluminum can has a diameter of 9 cm and a height of 7 cm. Find the volume of the can. Use 3.14 for π. Round your answer to the nearest hundredth.a. 1,780.38 cm3 c. 445.1 cm3

b. 324.99 cm3 d. 890.19 cm3

____ 67. Several students in Mr. Rodriguez’ sixth grade Science class played a world geography game. The table shows the scores at the end of the game. Write the students’ names in order from lowest score to highest score.

Final ScoresAaron –7,298Yumi 10,542Jesse 21,115Octavio 20,642Maria –20,319

a. Jesse, Maria, Aaron, Yumi, Octavio c. Maria, Aaron, Yumi, Octavio, Jesseb. Jesse, Octavio, Yumi, Aaron, Maria d. Octavio, Yumi, Aaron, Maria, Jesse

____ 68. Name the quadrant where point B is located.

a. Quadrant II c. Quadrant Ib. Quadrant IV d. Quadrant III

____ 69. Evaluate e8 for e = 56.

a. 6 c. 48b. –7 d. 7

____ 70. Cherry tomatoes are sold at the store. A 12-pack costs $3, a 16-pack costs $4, and a 24-pack costs $6. Write an equation for the function. Let t be the number of tomatoes. Let p be the price per pack.a. t = 4p + 2 c. p = 4tb. p = t

4 d. t =p4 + 2

Name: ______________________ ID: A

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____ 71. Graph the function described by the equation y = −2x− 2.a. c.

b. d.

____ 72. The local weather station reports that the chance of snow is 0.45. Write this probability as a fraction and as a percent.a. 9

10 , 45% c. 920 , 45%

b. 1120 , 55% d. 11

10 , 55%____ 73. To wrap presents, Hannah has 2 different colors of wrapping paper—blue and red. To top the

present, she has 3 different types of bows to choose from—striped, polka dots, and clear. What are all the possible ways Hannah can wrap the present?a. {blue and striped; blue and polka dots; blue and clear}b. {red and striped; red and polka dots; red and clear}c. {blue and striped; blue and polka dots; blue and clear; red and striped; blue and red;

striped and polka dots}d. {blue and striped; blue and polka dots; blue and clear; red and striped; red and polka

dots; red and clear}____ 74. At Tubman Middle School, there are 7 English teachers and 6 science teachers. If each student takes

one English class and one science class, how many possible combinations of teachers are there?a. 42 possible combinations c. 13 possible combinationsb. 6 possible combinations d. 7 possible combinations

Name: ______________________ ID: A

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____ 75. At a restaurant, Donald can choose between a roast beef sandwich, a chicken salad sandwich, and a fish sandwich. As a side item, he can choose apple slices, yogurt, or a salad. As a drink he can choose juice, water, or tea. If he chooses one sandwich, one side item, and one drink, how many different meals can he choose from?a. 18 possible meals c. 27 possible mealsb. 9 possible meals d. 12 possible meals

____ 76. A letter is chosen at random from the 26 letters in the alphabet. What is the probability of choosing a vowel? Express your answer as a fraction in simplest form.a. 21

26 c. 521

b. 265 d. 5

26

____ 77. The probability of drawing a silver ball out of a certain bag is 0.6. What is the probability of NOT drawing a silver ball? Express your answer as a decimal.a. 40 c. 0.04b. 0.44 d. 0.4

____ 78. Greg spins the spinner twice. Find the probability that the spinner will land on an even number both times. Express your answer as a fraction in simplest form.

a. 18 c. 1

4

b. 116 d. 1

2

____ 79. Find the probability of rolling a 5 on the first number cube and rolling a 5 on the second number cube. Assume the number cubes are fair and have six sides. Express your answer as a fraction in simplest form.

a. 136 c. 1

6

b. 112 d. 1

25

Short Answer

80. Evaluate the expression to find the missing values in the table. Show your work.x x + 73 107 ?10 ?

Name: ______________________ ID: A

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81. Write two phrases for the expression 85 – y. 82. Solve 58 = q – 14. Check your answer. Show your work. 83. Solve the following.

a. If a wall is 4.6 meters long, what is the maximum number of 0.5-meter wide chairs you can place along it? Show your work.

b. How many chairs would fit if the chairs were 0.4 meters wide? Show your work.

84. Doing homework takes you 1 13 hours one night. The next night it takes you 5

6 of an hour less. How long does it take you to do homework the second night? Show your work.

85. The Johnson High School basketball team’s last seven scores were as follows: 45, 29, 27, 35, 39, 48, and 23. Find the range, mean, median, and mode of the scores. Show your work.

86. Create a bar graph displaying the number of each type of bird at the zoo. There are 4 bald eagles, 6 carrier pigeons, 5 hawks, and 7 condors. On your bar graph, be sure to label each axis properly. Also, be sure to use an appropriate scale for the vertical axis.

87. Newton School district sold candy in grades 5 – 8 as a fund-raiser. The bar graph shows the average amount of money raised per student in each grade.

Use the bar graph to answer the following questions about the Newton School district fund-raiser.a. Which grade raised the most money? Explain in words how you determined your

answer.b. Which grade raised the least money? Explain in words how you determined your

answer.

88. Use the frequency table to make a histogram.Number of Jobs by Age

Age 16–25 26–35 36–45 46–55 56–65Frequency 20 25 31 15 9

Name: ______________________ ID: A

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89. Explain why the bar graph is misleading.

90. Maria’s math book has the following shape on the cover of the book.a. Name the three-dimensional figure represented by the object.b. Identify the number of faces, edges, and vertices on the figure.

91. A service organization is recruiting volunteers for a clean-up day. At the previous event, 171 of the 180 people who signed up in advance came to the event.a. Estimate the probability that a person who signs up to volunteer will come to the

clean-up day.b. Based on this probability, how many volunteers do they need to recruit to have

228 people at the clean-up day?

92. Find the least value, greatest value, mean, median, mode, and range of the data set.Stems Leaves

2 2 4 8 8 8 9 93 0 2 2 4 6 6 84 1 1 4 65 0 2

93. The table shows the rural and the urban population of the United States every 10 years, from 1910 to 1950. Use the data in the table to make a double line graph.

Rural and Urban Population of the U.S. (in millions)1910 1920 1930 1940 1950

Rural 65 70 70 70 65Urban 25 35 55 65 85

Name: ______________________ ID: A

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94. A worker at a video store tracks the types of videos that are rented in an evening. The tally table shows the results. Use the tally table to make a cumulative frequency table.

Comedy Horror Drama Romance True Life

95. Sixth-, seventh-, and eighth-grade students were surveyed to determine whether they are right-handed or left-handed. The results of the survey are shown in the table. Make a double-bar graph to compare the data in the table.

Grade Left-handed Right-handedSixth 4 14

Seventh 2 12Eighth 3 10

96. Find the missing value in the proportion 19 = n

63 .

97. Name the ordered pair for the location of the home.

98. Graph and label the point F(5, 2) on a coordinate plane.

Essay

99. Describe in words how to add 3 25 and 1 1

5 and how to subtract them.

100. Explain what the term absolute value means and give an example.

ID: A

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6th grade to 7th grade Summer PacketAnswer Section

MULTIPLE CHOICE

1. ANS: BRound both numbers to the nearest tens place, and then multiply the two rounded numbers.

FeedbackA Perform the correct operation.B Correct!C Round the numbers to the nearest tens place, and then multiply the two rounded

numbers.D Round the numbers to the nearest tens place.

PTS: 1 DIF: Average REF: Page 11 OBJ: 1-2.2 Estimating a Product by Rounding TOP: 1-2 Estimating with Whole Numbers KEY: estimation | multiplication | rounding

2. ANS: COverestimate the number of toothpicks Ai-ling has to find a compatible number. Divide the compatible number of toothpicks by the number of toothpicks needed per game.

FeedbackA Perform the correct operation.B Round both numbers to the nearest tens place.C Correct!D First, overestimate the number of toothpicks to find a compatible number. Then,

divide the compatible number by the number of toothpicks needed per game.

PTS: 1 DIF: Average REF: Page 11 OBJ: 1-2.3 Estimating a Quotient Using Compatible Numbers TOP: 1-2 Estimating with Whole Numbers KEY: estimation | division | compatible numbers

ID: A

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3. ANS: ASet the base equal to the number of calls. Set the exponent equal to the number of rounds. Then the expression will be in the form baseexponent. Multiply the base by itself the number of times of the exponent.

FeedbackA Correct!B Use the number of calls made by one person as the base of the exponential

expression.C Multiply the base by itself the number of times of the exponent.D The number of calls is the base of the exponential expression. The number of

rounds is the exponent of the exponential expression.

PTS: 1 DIF: Average REF: Page 15 OBJ: 1-3.3 Problem-Solving Application TOP: 1-3 Exponents KEY: exponent | problem solving

4. ANS: CYou should recognize that the last digit of 35 and 55 add to 10 and that the last digit of 31 and 29 add to 10. Use mental math to add all four numbers to get the answer.

FeedbackA Look at the digit in the ones place on all of the numbers and see if they add to 10.B Use mental math to add.C Correct!D Look at the digit in the ones place on all of the numbers and see if they add to 10.

PTS: 1 DIF: Basic REF: Page 26 OBJ: 1-5.1 Using Properties to Add and Multiply Whole Numbers NAT: 8.1.5.e TOP: 1-5 Mental Math KEY: addition | properties | whole numbers | mental math

5. ANS: DDetermine the pattern between the terms, and continue the pattern. In this case, the pattern is to multiply a term by a value and then divide the next term by a different value.

FeedbackA Look for a pattern.B Look for a pattern that involves multiplication and division.C Look for a pattern that involves multiplication and division.D Correct!

PTS: 1 DIF: Average REF: Page 34 OBJ: 1-7.2 Completing Other Sequences TOP: 1-7 Patterns and SequencesKEY: sequence | multiplication | division | pattern

ID: A

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6. ANS: DSubstitute for x in x + 2.x = 9; 9 + 2 = 11x = 15;15 + 2 = 17x = 27; 27 + 2 = 29The missing values are 17 and 29.

FeedbackA To evaluate the expression, use substitution.B Substitute the number for the variable and then find the value.C Substitute the number for the variable.D Correct!

PTS: 1 DIF: Basic REF: Page 54 OBJ: 2-1.1 Evaluating Algebraic Expressions NAT: 8.5.3.cTOP: 2-1 Variables and Expressions KEY: expression | algebraic expression | evaluate

7. ANS: AYou can multiply the cost of one comic book by the number of comic books to find the total cost.Let c be the cost of one comic book and n be the number of comic books.

Costc

Numbern

Cost × Amountc × n

Make a table to help you find the total cost of the comic books.

$2 2 4 n = 2; 2 × 2 = $4$2 3 n = 3; 2 × 3 = $6$2 4 n = 4; 2 × 4 = $8$2 5 n = 5; 2 × 5 = $10

The total cost is $4, $6, $8, or $10.

FeedbackA Correct!B Make a table to help you find the total cost of the comic books.C Make a table to help you find the total cost of the comic books.D Make a table to help you find the total cost of the comic books.

PTS: 1 DIF: Average REF: Page 55 OBJ: 2-1.2 Evaluating Expressions with Two Variables NAT: 8.5.3.cTOP: 2-1 Variables and Expressions

ID: A

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8. ANS: BTo find the total number of letters Isabel wrote, multiply the number of letters by the number of months.11x

FeedbackA Use the operation that means to put together groups of equal parts.B Correct!C Use the operation that means to put together groups of equal parts.D Use the correct operation.

PTS: 1 DIF: Average REF: Page 58 OBJ: 2-2.1 ApplicationNAT: 8.5.2.g TOP: 2-2 Translate Between Words and Math KEY: expression | algebraic expression

9. ANS: CUse multiplication when you see these keywords:timesmultiplied bythe productgroups of

FeedbackA Look for keywords in the phrase.B Look for keywords in the phrase.C Correct!D Look for keywords in the phrase.

PTS: 1 DIF: Average REF: Page 59 OBJ: 2-2.2 Translating Words into Math NAT: 8.5.2.b TOP: 2-2 Translate Between Words and Math KEY: expression | algebraic expression

10. ANS: CUse “÷” when you see these keywords:divided bythe quotient

FeedbackA Look for keywords in the phrase.B Check the order of the terms.C Correct!D Look for keywords in the phrase.

PTS: 1 DIF: Average REF: Page 59 OBJ: 2-2.2 Translating Words into Math NAT: 8.5.2.b TOP: 2-2 Translate Between Words and Math KEY: expression | algebraic expression

ID: A

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11. ANS: BThere are 19 blue cars. The algebraic expression of “k fewer than 19” is written as 19 − k.

FeedbackA There are fewer green cars than blue cars.B Correct!C This statement represents k more green cars than blue cars.D This statement represents k more green cars than blue cars.

PTS: 1 DIF: Advanced NAT: 8.5.2.g TOP: 2-2 Translate Between Words and Math

12. ANS: BLength

(in.)Width (in.) Area (in2)

8 2 16 = 8 • 28 3 24 = 8 • 38 4 32 = 8 • 48 w ?

The area is equal to 8 times the width, 8w.

FeedbackA Look for a relationship in each row of the table.B Correct!C Look for a pattern.D Look for a relationship in each row of the table.

PTS: 1 DIF: Average REF: Page 63 OBJ: 2-3.3 Writing an Expression for the Area of a Figure NAT: 8.5.2.aTOP: 2-3 Translating Between Tables and Expressions

13. ANS: Cb + 27 = 5023 + 27 = 50 ? Substitute 23 for b.50 = 50 ? Add.

Since 50 = 50, 23 is a solution to b + 27 = 50.

FeedbackA If the value for the variable makes the equation true, then that value is a solution.B Simplify both sides of the equation and compare.C Correct!D Substitute the given value for b in the equation, and see if you get a true statement.

PTS: 1 DIF: Average REF: Page 70 OBJ: 2-4.1 Determining Solutions of Equations TOP: 2-4 Equations and Their Solutions

ID: A

6

14. ANS: Am + 10 = 53 10 is added to m.m + 10 − 10 = 53 − 10 Subtract 10 from both sides to undo the addition.m = 43

Checkm + 10 = 5343 + 10 = 53? Substitute 43 for m in the equation.53 = 53? Add.53 = 53 43 is the solution.

FeedbackA Correct!B Substitute the solution in the equation to check your answer.C Subtract from both sides of the equation to undo the addition.D Subtract from both sides of the equation to undo the addition.

PTS: 1 DIF: Basic REF: Page 75 OBJ: 2-5.1 Solving Addition Equations NAT: 8.5.3.c TOP: 2-5 Addition EquationsKEY: equation | solving | addition

15. ANS: Anumber of degrees

already heated+ number of degrees still

needed= final temperature

88 + d = 212

88 + d = 212 88 is added to d.88 + d − 88 = 212 − 88 Subtract 88 from both sides to undo the addition.d = 124

The mixture still needs to be heated 124°F.

FeedbackA Correct!B Check that your solution plus the number of degrees already heated is equal to the

final temperature.C Set up an equation and solve.D Set up an equation and solve.

PTS: 1 DIF: Average REF: Page 75 OBJ: 2-5.2 ApplicationNAT: 8.5.3.c TOP: 2-5 Addition Equations KEY: equation | solving | addition

ID: A

7

16. ANS: CThe symbol “=” represents “is equal to” and the algebraic expression “y− 8” represents “8 subtracted from y. ”

12

+8

20

=

=

y− 8

+ 8

y

8 is subtracted from y.

Add 8 to both sides to undo the subtraction.

FeedbackA Check the order of the number and the variable.B Use addition to undo the subtraction.C Correct!D Check the order of the number and the variable.

PTS: 1 DIF: Advanced NAT: 8.5.3.c TOP: 2-6 Subtraction Equations KEY: algebraic equation | subtraction equation | solving algebraic equations | solving subtraction equations

17. ANS: DLet f represent the number of cups of flour needed.The amount of salt needed is 1

10 of the amount of flour.f

10 = the amount of salt Substitute 16 for the amount of salt.

f10 = 16 f is divided by 10.

(10)f

10 = 16(10) Multiply both sides by 10 to undo the division.

f = 160I-chen will need 160 cups of flour.

FeedbackA Set up an equation and solve.B Multiply to undo division.C Set up an equation and solve.D Correct!

PTS: 1 DIF: Average REF: Page 86 OBJ: 2-8.2 ApplicationNAT: 8.5.3.c TOP: 2-8 Division Equations KEY: equation | solving | division

ID: A

8

18. ANS: DDivide as you would with whole numbers. Then, place the decimal point in the quotient directly above the decimal point in the dividend.

FeedbackA Divide, not subtract.B Place the decimal point in the correct location.C Place the decimal point in the correct location.D Correct!

PTS: 1 DIF: Basic REF: Page 134 OBJ: 3-6.1 Dividing a Decimal by a Whole Number NAT: 8.1.3.dTOP: 3-6 Dividing Decimals by Whole Numbers KEY: decimal | division

19. ANS: D3.6 ÷ x= 3.6 ÷ 2 Substitute 2 for x.= 1.8 Divide. Place the decimal point.

FeedbackA Divide, not subtract.B Place the decimal point in the correct location.C Place the decimal point in the correct location.D Correct!

PTS: 1 DIF: Basic REF: Page 134 OBJ: 3-6.2 Evaluating Decimal Expressions NAT: 8.1.3.aTOP: 3-6 Dividing Decimals by Whole Numbers KEY: decimal | expression | evaluate | simplify

20. ANS: BDivide the total cost by the number of people. $24.10 ÷ 5Then, place the decimal point in the quotient directly above the decimal point in the dividend.

FeedbackA First, divide the total cost by the number of people. Then, place the decimal point in

the correct location.B Correct!C Place the decimal point in the correct location.D Divide, not subtract.

PTS: 1 DIF: Average REF: Page 135 OBJ: 3-6.3 ApplicationNAT: 8.1.3.a TOP: 3-6 Dividing Decimals by Whole Numbers KEY: decimal | division

ID: A

9

21. ANS: AMultiply the divisor and the dividend by the same power of ten to remove the decimal point from the divisor. Place the decimal point in the quotient directly above the decimal point in the dividend.

FeedbackA Correct!B Place the decimal point in the correct location.C Place the decimal point in the correct location.D Before dividing, multiply the divisor and dividend by the same power of ten to

remove the decimal point from the divisor.

PTS: 1 DIF: Basic REF: Page 137 OBJ: 3-7.1 Dividing a Decimal by a Decimal NAT: 8.1.3.dTOP: 3-7 Dividing by Decimals KEY: decimal | division

22. ANS: DMultiply the divisor and the dividend by the same power of ten to remove the decimal point from the divisor. Divide the number of sandwiches you need to make by the number of turkey slices in each package. Place the decimal point in the quotient directly above the decimal point in the dividend. Round up to be sure there are enough sandwiches.

FeedbackA Round up to be sure there are enough sandwiches.B Divide the number of sandwiches you need to make by the number of turkey slices

in each package.C Divide the number of sandwiches you need to make by the number of turkey slices

in each package.D Correct!

PTS: 1 DIF: Average REF: Page 141 OBJ: 3-8.2 ApplicationNAT: 8.1.5.d TOP: 3-8 Interpret the Quotient KEY: decimal | division

23. ANS: CDivide the number of students by the number of bookmarks in a package, and round up.

FeedbackA Round up to be sure there are enough bookmarks.B Divide the number of students by the number of bookmarks in a package.C Correct!D Divide the number of students by the number of bookmarks in a package.

PTS: 1 DIF: Average REF: Page 141 OBJ: 3-8.2 ApplicationNAT: 8.1.5.d TOP: 3-8 Interpret the Quotient KEY: decimal | division

ID: A

10

24. ANS: CFind the number of reserved seats.number of reserved seats

= number of reserved rows × number of seats per row

= 6 17( )= 102

Since every student can invite the same number of guests, find how many whole groups of 24 are in 102 seats. 102 ÷ 24 = 4.25The quotient shows that there are not enough seats for each student to invite 5 guests.

Each student can invite 4 guests.

FeedbackA Divide the total number of reserved seats by the number of students in the class,

and then drop the decimal part of the quotient.B Drop the decimal part of the quotient.C Correct!D Divide the total number of reserved seats by the number of students in the class,

and then drop the decimal part of the quotient.

PTS: 1 DIF: Advanced NAT: 8.1.3.d TOP: 3-8 Interpret the QuotientKEY: decimal | division

25. ANS: CUse inverse operations to get the variable on one side of the equation.

FeedbackA Use the correct operation.B The problem asks for an exact answer, so do not estimate.C Correct!D Substitute the solution in the original equation to check your answer.

PTS: 1 DIF: Average REF: Page 144 OBJ: 3-9.1 Solving One-Step Equations with Decimals NAT: 8.5.3.cTOP: 3-9 Solving Decimal Equations KEY: decimal | equation

26. ANS: CWrite an equation for the problem. The product of the length and the width will be the area of the rug: length × width = area. Solve the equation for width w.

FeedbackA Use the correct operation.B Check your answer.C Correct!D Divide correctly.

PTS: 1 DIF: Average REF: Page 145 OBJ: 3-9.2 ApplicationNAT: 8.2.1.h TOP: 3-9 Solving Decimal Equations KEY: decimal | equation

ID: A

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27. ANS: DList all the factors of each number, and find the factors that are common to all three. The greatest one is the GCF.

FeedbackA Find a common factor that is the greatest.B Find a factor that is shared by all three numbers.C Find a factor that is shared by all three numbers.D Correct!

PTS: 1 DIF: Basic REF: Page 173 OBJ: 4-3.1 Finding the GCFNAT: 8.1.5.b TOP: 4-3 Greatest Common Factor KEY: GCF | greatest common factor | factor

28. ANS: CIf there is a number to the left of the decimal, write that number as the whole number. Then, write the decimal part as a fraction over 100, and simplify.

FeedbackA If there is a number to the left of the decimal, write that number as the whole

number.B Check the fraction part.C Correct!D If there is a number to the left of the decimal, write that number as the whole

number.

PTS: 1 DIF: Basic REF: Page 181 OBJ: 4-4.1 Writing Decimals as Fractions or Mixed Numbers NAT: 8.1.1.eTOP: 4-4 Decimals and Fractions KEY: decimal | fraction | mixed number

29. ANS: BMultiply the whole number by the denominator, and then add the numerator. Write the result over the denominator. Or use a model to find the answer.

FeedbackA Multiply the whole number by the denominator, and then add the numerator.B Correct!C Multiply the whole number by the denominator, and then add the numerator.D Multiply the whole number by the denominator, and then add the numerator.

PTS: 1 DIF: Average REF: Page 193 OBJ: 4-6.2 Writing Mixed Numbers as Improper Fractions NAT: 8.1.1.dTOP: 4-6 Mixed Numbers and Improper Fractions KEY: improper fraction | mixed number

ID: A

12

30. ANS: BCompare the two fractions. Be sure to first write them with common denominators if they are unlike fractions.

FeedbackA First, make sure the fractions have common denominators. Then, compare the

numerators.B Correct!C First, make sure the fractions have common denominators. Then, compare the

numerators.

PTS: 1 DIF: Basic REF: Page 198 OBJ: 4-7.1 Comparing Fractions NAT: 8.1.1.i TOP: 4-7 Comparing and Ordering Fractions KEY: fraction | like fraction | compare

31. ANS: BWrite the fractions with common denominators, and then compare the numerators.

FeedbackA Write the fractions with common denominators, and then compare the numerators.B Correct!

PTS: 1 DIF: Average REF: Page 199 OBJ: 4-7.2 ApplicationNAT: 8.1.1.j TOP: 4-7 Comparing and Ordering Fractions KEY: fraction | compare | order

32. ANS: D7 •13

11 •13 = 91143

7 •1113 •11 = 77

1435 •11

13 •11 = 55143

Rename with like denominators.

The fractions in order from least to greatest are 513 , 7

13 , 711 .

FeedbackA Order from least to greatest.B To solve, order the fractions on a number line.C To solve, rename the fractions with like denominators.D Correct!

PTS: 1 DIF: Average REF: Page 199 OBJ: 4-7.3 Ordering FractionsNAT: 8.1.1.i TOP: 4-7 Comparing and Ordering Fractions

ID: A

13

33. ANS: BStep 1 Setup the problem.On this particular day, the diet of the rare species is 10

13 bamboo.

Compare 56 with 10

13 .

Step 2 Find a common denominator.Find a common denominator by multiplying the denominators, 6 × 13 = 78.

Step 3 Rewrite each fraction.5 •136 •13 = 65

7810 •613 •6 = 60

78

Step 4 Compare numerators.Since 65 > 60, the rare species does not eat enough bamboo.

FeedbackA If the animal's necessary amount of bamboo is less than what it eats on this

particular day, then the answer is yes.B Correct!C Find a common denominator to compare fractions of what the species needs to

what the species eats on this particular day.D If the animal's necessary amount is greater than what it eats on this particular day,

then the answer is no.

PTS: 1 DIF: Advanced NAT: 8.1.1.i TOP: 4-7 Comparing and Ordering Fractions KEY: multi-step

34. ANS: D1

10 + 310

= 410 Add the numerators. Keep the same denominator.

= 25 Simplify.

FeedbackA Add the numerators, and keep the same denominator.B Add the numerators, and keep the same denominator.C Add, not subtract.D Correct!

PTS: 1 DIF: Average REF: Page 202 OBJ: 4-8.1 ApplicationNAT: 8.1.3.a TOP: 4-8 Adding and Subtracting with Like DenominatorsKEY: fraction | addition | subtraction | like denominators

ID: A

14

35. ANS: ASubstitute 7

18 for v. Add or subtract the numerators. Keep the same denominator. If there are whole numbers, then add or subtract the whole numbers. If possible, simplify.

FeedbackA Correct!B First, substitute the value for the variable. Then, add or subtract the numerators and

keep the same denominator.C First, substitute the value for the variable. Then, perform the correct operation.D Perform the correct operation.

PTS: 1 DIF: Average REF: Page 203 OBJ: 4-8.3 Evaluating Expressions with Fractions NAT: 8.1.3.aTOP: 4-8 Adding and Subtracting with Like Denominators KEY: fraction | expression

36. ANS: AFind the least common multiple of the number of buns and the number of hot dogs. The LCM is the smallest multiple of each that divides evenly into the number of campers.

FeedbackA Correct!B Find the least common multiple of the number of buns and the number of hot

dogs.C Use a model to find the LCM.D You have reversed the numbers.

PTS: 1 DIF: Average REF: Page 228 OBJ: 5-1.1 ApplicationNAT: 8.1.5.b TOP: 5-1 Least Common Multiple KEY: LCM | least common multiple

37. ANS: BTo subtract the fractions, first find the lowest common denominator and rewrite them as equivalent fractions. Then subtract the numerators, and place the result over the common denominator.

FeedbackA Before subtracting the fractions, rewrite them as equivalent fractions with a

common denominator.B Correct!C First, find a common denominator, and write equivalent fractions with the common

denominator. Then, subtract the numerators and keep the common denominator.D Subtract the numerators and keep the common denominator.

PTS: 1 DIF: Average REF: Page 234 OBJ: 5-2.1 ApplicationNAT: 8.1.3.g TOP: 5-2 Adding and Subtracting with Unlike DenominatorsKEY: fraction | addition | subtraction | unlike denominators

ID: A

15

38. ANS: CFirst, find the lowest common denominator of the fractions and rewrite them as equivalent fractions. Then, subtract the numerators of the fractions and place the result over the common denominator. Next, subtract the whole numbers.

FeedbackA First, write equivalent fractions with a common denominator. Then, subtract the

fractions and then the whole numbers.B Before subtracting the mixed numbers, find a common denominator for the

fractions.C Correct!D Perform the correct operation.

PTS: 1 DIF: Average REF: Page 239 OBJ: 5-3.2 ApplicationNAT: 8.1.3.g TOP: 5-3 Adding and Subtracting Mixed NumbersKEY: mixed number | addition | subtraction

39. ANS: D7 2

5 →⎯⎯ 6 75 Rewrite 7 2

5 as 6 75 .

−2 35 →⎯⎯ −2 3

5

445 Subtract the fractions. Then, subtract the whole numbers.

FeedbackA First, regroup. Then, subtract the fractions and the whole numbers.B Regroup, and then subtract.C To check your answer, add this number to the second term and compare the sum to

the first term.D Correct!

PTS: 1 DIF: Basic REF: Page 244 OBJ: 5-4.1 Regrouping Mixed Numbers NAT: 8.1.3.a TOP: 5-4 Regrouping to Subtract Mixed Numbers

ID: A

16

40. ANS: C 43 → 42 3

3

−15 13 → −15 1

3

Write 43 as a mixed fraction with a denominator of 3.Regroup 43 as 42 + 3

3 .

27 23

Subtract the fractions. Then, subtract the whole numbers.

There are 27 23 minutes left to burn.

FeedbackA Rewrite the total length of the CD as a mixed fraction. Regroup the number as a

number plus a fraction.B Rewrite the total length of the CD as a mixed fraction. Regroup the number as a

number plus a fraction.C Correct!D Rewrite the total length of the CD as a mixed fraction. Regroup the number as a

number plus a fraction.

PTS: 1 DIF: Average REF: Page 246 OBJ: 5-4.2 ApplicationNAT: 8.1.3.g TOP: 5-4 Regrouping to Subtract Mixed Numbers

41. ANS: DLet b represent the weight of the larger bag. Use the equation b − 33

4 = 812 . Solve for b.

To solve the equation, isolate the variable on one side and the numbers on the other by using the inverse operation. Then, add the fractions by finding the lowest common denominator and rewriting them as equivalent fractions.

FeedbackA Before adding, rewrite the fractions with a common denominator.B Before adding, rewrite the fractions with a common denominator.C Set up an equation and solve for the variable.D Correct!

PTS: 1 DIF: Average REF: Page 249 OBJ: 5-5.2 ApplicationNAT: 8.5.3.b TOP: 5-5 Solving Fraction Equations: Addition and SubtractionKEY: equation | addition | subtraction | fraction

ID: A

17

42. ANS: BLet s represent the height of the second stack. Use the equation 43

4 + s = 712 . Solve for s.

To solve the equation, isolate the variable on one side and the numbers on the other by using the inverse operation. Then, subtract the fractions by finding the lowest common denominator and rewriting them as equivalent fractions.

FeedbackA Before subtracting, rewrite the fractions with a common denominator.B Correct!C Before subtracting, rewrite the fractions with a common denominator.D Set up an equation and solve for the variable.

PTS: 1 DIF: Average REF: Page 249 OBJ: 5-5.2 ApplicationNAT: 8.5.3.b TOP: 5-5 Solving Fraction Equations: Addition and SubtractionKEY: equation | addition | subtraction | fraction

43. ANS: DTo find how many cups of brown sugar are needed, multiply.4 2

3 • 34 = 14

3 • 34 = 31

2

FeedbackA Multiply, rather than subtract.B Multiply, rather than add.C Do not multiply by 12.D Correct!

PTS: 1 DIF: Advanced TOP: 5-8 Multiplying Mixed Numbers 44. ANS: B

Let f represent the total number of fish. Use the equation f = 16 ÷ 811 . Solve for f.

To solve the equation, multiply 16 by the reciprocal of 811 .

FeedbackA Dividing by a number is the same as multiplying by its reciprocal.B Correct!C Dividing by a number is the same as multiplying by its reciprocal.D Set up an equation and solve for the variable.

PTS: 1 DIF: Average REF: Page 275 OBJ: 5-10.2 Problem-Solving Application NAT: 8.5.3.bTOP: 5-10 Solving Fraction Equations: Multiplication and Division KEY: fraction | multiplication | division | equation | problem solving

ID: A

18

45. ANS: D18 + 36 + 24 + 36 + 30 + 36 = 180 Add all the values.180 ÷ 6 = 30 Divide the sum by the number of terms.

FeedbackA Be sure to add all the values in the data set.B Be sure to use all the values.C Be sure to add each value just once.D Correct!

PTS: 1 DIF: Basic REF: Page 298 OBJ: 6-2.1 Finding the Mean of a Data Set NAT: 8.4.2.aTOP: 6-2 Mean Median Mode and Range

46. ANS: BComputers were most expensive during the year with the highest value on the vertical axis.

FeedbackA Find the year with the highest value on the vertical axis.B Correct!C Check the axes.D Find the year with the highest value on the vertical axis.

PTS: 1 DIF: Basic REF: Page 323 OBJ: 6-7.2 Reading a Line Graph NAT: 8.4.1.d TOP: 6-7 Line GraphsKEY: line graph

ID: A

19

47. ANS: AThe value of the tick marks on the vertical scale rise 1 unit with the first three tick marks. However, the fourth tick mark is 3 units higher than the third tick mark. The vertical axis labeling is not constant.

From the graph, it appears that Ravi and Terrance jumped about the same height. However, Ravi jumped 6 feet high and Terrance jumped only 3 feet high. In reality, Ravi jumped twice as high as Terrance.

People might believe that Ravi and Terrance jumped about the same height. In reality, Ravi jumped twice as high as Terrance.

The graph should look like this.

FeedbackA Correct!B The lower part of the vertical scale is not missing.C Be careful when reading the graph to find who jumped higher.D The lower part of the vertical scale is not missing.

PTS: 1 DIF: Average REF: Page 326 OBJ: 6-8.1 Misleading Bar Graphs NAT: 8.4.1.d TOP: 6-8 Misleading Graphs

ID: A

20

48. ANS: Dtablespoons of milk

cups of flour = n168 cups of flourWrite a proportion. Let n be the amount of milk

for 168 cups of flour.

921 = n

168 Find the cross products.

21 • n = 9 • 168 The cross products are equal.

21n = 1512 n is multiplied by 21.

n = 72 Divide both sides by 21 to undo the multiplication.

The chef needs to add 72 tablespoons of milk for 168 cups of flour.

FeedbackA Set up a proportion and solve.B First, write a proportion and find the cross products. Then, set the cross products

equal and solve for the variable.C Set up a proportion of ratios that compare tablespoons of milk to cups of flour.D Correct!

PTS: 1 DIF: Average REF: Page 363 OBJ: 7-3.3 ApplicationNAT: 8.1.4.c TOP: 7-3 Proportions KEY: proportion

49. ANS: D3 in.

50 light-years = 18 in.x light-years Write a proportion using the scale. Let x be the actual

number of light-years between the two stars.

3x = 18(50) The cross products are equal.3x = 900x = 300 Divide both sides by 3 to undo the multiplication.

FeedbackA Set up a proportion of ratios that compare inches to light-years.B Use the distance between the two stars.C Find the cross products.D Correct!

PTS: 1 DIF: Average REF: Page 375 OBJ: 7-6.2 ApplicationNAT: 8.1.4.c TOP: 7-6 Scale Drawings and Maps KEY: distance | scale

ID: A

21

50. ANS: ASince there are 100 squares in the model, count the number of shaded squares.

FeedbackA Correct!B Count the number of shaded squares.C Count the number of shaded squares.D Count the number of shaded squares, not the number of unshaded squares.

PTS: 1 DIF: Basic REF: Page 381 OBJ: 7-7.1 Modeling PercentsTOP: 7-7 Percents KEY: percent | model

51. ANS: AStep 1 Round $110.05 to $110.Step 2 15% of $110 = 0.15 • $110 = $16.50

FeedbackA Correct!B Find the tip only, not the total bill plus the tip.C First, round the total bill. Then, multiply the result by the tip rate.D Use the correct tip rate.

PTS: 1 DIF: Average REF: Page 395 OBJ: 7-10.2 Finding TipsNAT: 8.1.4.d TOP: 7-10 Using Percents KEY: tip | percent

52. ANS: AStep 1 Round $34.55 to $35.Step 2 6% of $35 = 0.06 • $35 = $2.10Step 3 Add this amount to $35 to estimate the total cost of the doll.$35 + $2.10 = $37.10

FeedbackA Correct!B First, round the cost of the doll, and multiply it by the sales tax rate. Then, add the

result to the rounded cost.C Instead of subtracting, add the sales tax to the cost of the doll.D This is the sales tax only. Now, find the total cost of the doll with the sales tax.

PTS: 1 DIF: Average REF: Page 395 OBJ: 7-10.3 Finding Sales TaxNAT: 8.1.4.d TOP: 7-10 Using Percents KEY: sales tax

ID: A

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53. ANS: DA line is a straight path that extends without end in opposite directions. A line is named by two points on the line.

FeedbackA A line is named by two points on the line.B A line is a straight path that extends without end in opposite directions.C A line is a straight path that extends without end in opposite directions.D Correct!

PTS: 1 DIF: Average REF: Page 416 OBJ: 8-1.1 Identifying Points, Lines, and Planes NAT: 8.3.1.cTOP: 8-1 Building Blocks of Geometry

54. ANS: DThe sum of the angle measures is 180°78º + c = 180ºSo, c = 102º.

FeedbackA The sum of the angle measures is 180 degrees.B The sum of the angle measures is 180 degrees.C The sum of the angle measures is 180 degrees.D Correct!

PTS: 1 DIF: Average REF: Page 425 OBJ: 8-3.2 Identifying an Unknown Angle Measure NAT: 8.3.3.bTOP: 8-3 Angle Relationships KEY: angle | measurement | relationship

55. ANS: BA triangle appears in the top heart and then moves in a clockwise pattern around the figure.

FeedbackA The pattern should not skip a heart.B Correct!C This is identical to the last figure. Find the next figure.D Check the orientations of the triangles.

PTS: 1 DIF: Basic REF: Page 450 OBJ: 8-8.1 Extending Geometric Patterns NAT: 8.5.1.aTOP: 8-8 Geometric Patterns KEY: pattern | geometric pattern

ID: A

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56. ANS: BCommon Customary Measurements

Length Weight Capacity1 ft = 12 in. 1 lb = 16 oz 1 c = 8 fl oz1 yd = 36 in. 1 T = 2,000 lb 1 pt = 2 c1 yd = 3 ft 1 qt = 2 pt1 mi = 5,280 ft 1 qt = 4 c1 mi = 1,760 yd 1 gal = 4 qt

1 gal = 16 c1 gal = 128 fl oz

To convert 7 gallons to cups, multiply by a conversion factor from the table.

FeedbackA Multiply by a conversion factor.B Correct!C Multiply by a conversion factor.D Multiply by a conversion factor.

PTS: 1 DIF: Average REF: Page 496 OBJ: 9-3.1 Using a Conversion Factor NAT: 8.2.2.b TOP: 9-3 Converting Customary Units

57. ANS: DTo convert gallons to cups, multiply by 16To convert quarts to cups, multiply by 4.To convert pints to cups, multiply by 2.

Gloria can sell 36 servings.

FeedbackA Check that the answer is reasonable.B Use a conversion factor and multiply.C Use a conversion factor and multiply.D Correct!

PTS: 1 DIF: Average REF: Page 497 OBJ: 9-3.3 Problem-Solving Application NAT: 8.2.2.b TOP: 9-3 Converting Customary Units KEY: problem solving

ID: A

24

58. ANS: AThere are 3 feet in 1 yard.In 2 yards, there are 3 × 2 = 6 ft.In 3 yards, there are 3 × 3 = 9 ft.In m yards, there are 3 ×m = 3m ftIn 970 yards, there are 3 × 970 = 2,910 ft.

The length of Alsea Bay Bridge in Oregon is about 2,910 ft.

FeedbackA Correct!B There are three feet in one yard.C There are three feet in one yard.D There are three feet in one yard.

PTS: 1 DIF: Average REF: Page 497 OBJ: 9-3.3 Problem-Solving Application NAT: 8.2.2.b TOP: 9-3 Converting Customary Units KEY: problem solving

59. ANS: AThe perimeter of a figure is the distance around it.

FeedbackA Correct!B Add the lengths of the sides.C Add the lengths of the sides.D Add the lengths of the sides.

PTS: 1 DIF: Basic REF: Page 514 OBJ: 9-7.1 Finding the Perimeter of a Polygon NAT: 8.2.1.hTOP: 9-7 Perimeter KEY: perimeter | polygon

60. ANS: AA = 1

2 h(b1 + b2 ) Formula for the area of a trapezoid

A = 12 (7)(3.4 + 8.8) Substitute 7 for h, 3.4 for b1 , and 8.8 for b2 .

A = 12 (7)(12.2) = 42.7 Simplify.

FeedbackA Correct!B Use the formula for the area of a trapezoid.C Multiply 1/2 by the height and then by the sum of the bases.D The area of a trapezoid is the product of half its height and the sum of its bases.

PTS: 1 DIF: Average REF: Page 547 OBJ: 10-2.3 Finding the Area of a Trapezoid TOP: 10-2 Area of Triangles and Trapezoids

ID: A

25

61. ANS: BBreak apart the polygon into six squares that are 4 ft by 4 ft. Find the area of one square, and then multiply by 6 to find the total area.

FeedbackA Find the area, not the perimeter.B Correct!C First, break apart the polygon into six squares. Then, find the area of the square

and multiply by 6.D Break apart the polygon into six squares to help you.

PTS: 1 DIF: Average REF: Page 552 OBJ: 10-3.2 ApplicationNAT: 8.2.1.h TOP: 10-3 Area of Composite Figures KEY: area | composite figure | simpler parts

62. ANS: DThe area of a circle is the product of pi and square of the radius.A = πr 2

FeedbackA The area of a circle is pi times the square of the radius.B The area of a circle is pi times the square of the radius, not the square of the

diameter.C Find the area, not the circumference.D Correct!

PTS: 1 DIF: Average REF: Page 559 OBJ: 10-5.2 Using the Formula for the Area of a Circle NAT: 8.2.1.hTOP: 10-5 Area of Circles KEY: circle | area | formula

63. ANS: DFaces are the flat surfaces of the figure. An edge is the line segment along which two faces meet. A vertex is the intersection of three or more faces.

FeedbackA Faces are the flat surfaces.B An edge is the side shared between two faces.C A vertex is the point where three or more faces meet.D Correct!

PTS: 1 DIF: Basic REF: Page 566 OBJ: 10-6.1 Identifying Faces, Edges, and Vertices NAT: 8.3.1.cTOP: 10-6 Three-Dimensional Figures KEY: solid figure | face | edge | vertex

ID: A

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64. ANS: AA cylinder has two congruent, parallel, circular bases.

FeedbackA Correct!B A prism has faces that are all parallelograms. This object does not have any

parallelograms.C A polyhedron has faces that are polygons. Not every face of this object is a

polygon.D A cone has one base. This object has two bases.

PTS: 1 DIF: Basic REF: Page 567 OBJ: 10-6.2 Naming Three-Dimensional Figures NAT: 8.3.1.cTOP: 10-6 Three-Dimensional Figures KEY: solid figure | classify | name

65. ANS: DThe formula for the volume of a triangular prism is V = Bh, where B is the area of the base, and h is the height of the prism.

FeedbackA Use the formula for the volume of a triangular prism.B Multiply the base area by the height.C Find the volume, not the surface area.D Correct!

PTS: 1 DIF: Average REF: Page 572 OBJ: 10-7.2 Finding the Volume of a Triangular Prism NAT: 8.2.1.jTOP: 10-7 Volume of Prisms KEY: volume | triangular prism

66. ANS: CThe can has the shape of a cylinder. The formula for the volume of a cylinder is V = πr2h.

FeedbackA The formula for the volume of a cylinder is pi times the height times the square of

the radius, not the square of the diameter.B Find the volume, not the surface area.C Correct!D Use the formula for the volume of a cylinder.

PTS: 1 DIF: Average REF: Page 577 OBJ: 10-8.2 ApplicationNAT: 8.2.1.j TOP: 10-8 Volume of Cylinders KEY: volume | cylinder

ID: A

27

67. ANS: CThe scores in order from least to greatest are –20,319; –7,298; 10,542; 20,642; 21,115.So, the students’ names in order from lowest score to highest score are Maria, Aaron, Yumi, Octavio, Jesse.

FeedbackA Jesse's score is the lowest score.B Order the students' names in order from lowest score to highest score, not from

highest score to lowest score.C Correct!D Negative integers are always less than positive integers.

PTS: 1 DIF: Advanced NAT: 8.1.1.i TOP: 11-2 Comparing and Ordering Integers KEY: order | compare | integers

68. ANS: C

FeedbackA Check the location of the point.B The coordinate plane is divided by the x-axis and the y-axis into four quadrants.C Correct!D Check the location of the point.

PTS: 1 DIF: Basic REF: Page 610 OBJ: 11-3.1 Identifying Quadrants NAT: 8.5.2.c TOP: 11-3 The Coordinate Plane KEY: quadrant | coordinate plane

ID: A

28

69. ANS: De8

= 568 Substitute 56 for e.

= 7 Divide.

FeedbackA First, substitute the value for the variable. Then, divide.B When dividing integers, if the signs of the two integers are the same, the quotient is

positive. If the signs are different, the quotient is negative.C Substitute, and then divide.D Correct!

PTS: 1 DIF: Average REF: Page 629 OBJ: 11-7.2 Evaluating Integer Expressions NAT: 8.5.3.cTOP: 11-7 Dividing Integers KEY: integer | expression | evaluate

70. ANS: BYou can make a table to display the data. Let t be the number of tomatoes. Let p be the price per pack.t 12 16 24p 3 4 6

p is equal to t divided by 4.So, p = t

4 .

FeedbackA You can make a table to display the data. Then, compare the t and p values.B Correct!C Use the correct operation.D Substitute the number of tomatoes for t and the price per pack for p in the equation

to check your answer.

PTS: 1 DIF: Average REF: Page 641 OBJ: 11-9.3 Problem-Solving Application NAT: 8.5.2.aTOP: 11-9 Tables and Functions KEY: equation | function | problem solving

ID: A

29

71. ANS: DMake a function table. Write the solutions as ordered pairs.

x y = −2x− 2 y (x, y)–1 y = −2(−1) − 2 0 (–1, 0)0 y = −2(0) − 2 –2 (0, –2)1 y = −2(1) − 2 –4 (1, –4)

Graph the ordered pairs on a coordinate plane. Draw a line through the points to represent all the values of x and the corresponding values of y.

FeedbackA First, make a function table and write the solutions as ordered pairs. Then, graph

the ordered pairs and connect them with a line.B Graph the ordered pairs of the function and see if they form a straight line.C Choose several x-values. Graph the x-values and their corresponding y-values.

Then, connect them with a line.D Correct!

PTS: 1 DIF: Average REF: Page 647 OBJ: 11-10.4 Graphing Linear Functions NAT: 8.5.2.g TOP: 11-10 Graphing Functions KEY: graph | linear | function

ID: A

30

72. ANS: C0.45 = 45

100 = 920 Write as a fraction in simplest form.

0.45 = 45% Write as a percent.

FeedbackA Check the fraction.B To write the decimal as a percent, move the decimal point.C Correct!D To write the decimal as a fraction, use the number as the numerator and use 100 as

the denominator. Then, simplify.

PTS: 1 DIF: Average REF: Page 669 OBJ: 12-1.2 Writing Probabilities NAT: 8.4.4.g TOP: 12-1 Introduction to Probability KEY: probability

73. ANS: DMake an organized list to keep track of all the possible outcomes.

List the possible ways where the Hannah uses the blue wrapping paper.blue, stripedblue, polka dotsblue, clear

List the possible ways where the Hannah uses the red wrapping paper.red, stripedred, polka dotsred, clear

FeedbackA Make an organized list to find all the possible choices.B Make an organized list to find all the possible choices.C Make an organized list to find all the possible choices.D Correct!

PTS: 1 DIF: Average REF: Page 679 OBJ: 12-3.2 Making an Organized List NAT: 8.4.4.e TOP: 12-3 Counting Methods and Sample Spaces

ID: A

31

74. ANS: AThere are 7 English teachers and 6 science teachers.7 • 6 = 42

There are 42 possible combinations.

FeedbackA Correct!B Multiply to find the number of combinations.C Multiply to find the number of combinations.D Multiply to find the number of combinations.

PTS: 1 DIF: Average REF: Page 679 OBJ: 12-3.3 Using the Fundamental Counting Principle NAT: 8.4.4.eTOP: 12-3 Counting Methods and Sample Spaces

75. ANS: CMultiply the number of choices in each category.There are 3 choices for a sandwich, and 3 choices for a side dish, and 3 choices for a drink.3 • 3 • 3 = 27

There are 27 possible meals

FeedbackA Multiply the number of choices in each category.B Use the Fundamental Counting Principle.C Correct!D Multiply the number of choices in each category.

PTS: 1 DIF: Average REF: Page 679 OBJ: 12-3.3 Using the Fundamental Counting Principle NAT: 8.4.4.eTOP: 12-3 Counting Methods and Sample Spaces KEY: probability | organized list | sample

76. ANS: DThere are 5 vowels in the alphabet of 26 letters. So, the probability is 5

26 .

FeedbackA Find the probability of choosing a vowel, not a consonant.B To find the probability, divide the number of ways the event can occur by the total

number of outcomes.C To find the probability, divide the number of ways the event can occur by the total

number of outcomes.D Correct!

PTS: 1 DIF: Average REF: Page 682 OBJ: 12-4.1 Finding Theoretical Probability NAT: 8.4.4.bTOP: 12-4 Theoretical Probability KEY: probability | theoretical probability

ID: A

32

77. ANS: DThere are two possible outcomes, either drawing a silver ball or not drawing a silver ball. To find the probability of not drawing a silver ball, subtract the probability of drawing a silver ball from 1.

FeedbackA The probabilities of both outcomes in the sample space should add up to 1.B To find the probability of not drawing a silver ball, subtract the probability of

drawing a silver ball from 1.C Place the decimal point in the correct location.D Correct!

PTS: 1 DIF: Basic REF: Page 683 OBJ: 12-4.2 Finding the Complement of an Event NAT: 8.4.4.bTOP: 12-4 Theoretical Probability KEY: probability

78. ANS: CThere are 16 possible outcomes, and all are equally likely.

2, 2 2, 3 2, 4 2, 53, 2 3, 3 3, 4 3, 54, 2 4, 3 4, 4 4, 55, 2 5, 3 5, 4 5, 5

Four of the outcomes have an even number both times.

P(even, even) = 4 ways event can occur16 possible outcomes = 4

16 = 14

FeedbackA Divide the number of times of landing on an even number both times by the

number of possible outcomes.B First, find the number of times of getting an even number both times. Then, divide

that number by the number of possible outcomes.C Correct!D You can make a table to help you organize all the possible outcomes.

PTS: 1 DIF: Basic REF: Page 688 OBJ: 12-5.1 Finding Probabilities of Compound Events NAT: 8.4.4.bTOP: 12-5 Compound Events KEY: probability | compound events

ID: A

33

79. ANS: AThe outcome of the first spinner does not affect the outcome of the second spinner, so the events are independent.P(5 and 5) = P(5) • P(5) = 1

6 • 16 = 1

36

The probability of rolling a 5 on the first number cube and rolling a 5 on the second number cube is 1

36 .

FeedbackA Correct!B Multiply the probability of the first event by the probability of the second event.C This is the probability of the first event. Now, find the probability of both events.D Multiply the probability of the first event by the probability of the second event.

PTS: 1 DIF: Average REF: Page 700 OBJ: 12-Ext.1 Finding the Probability of Independent Events NAT: 8.4.4.hTOP: 12-Ext Independent and Dependent Events KEY: independent events | probability

SHORT ANSWER

80. ANS:

x x + 73 107 1410 17

Substitute for x in x + 7.x = 7; 7 + 7 = 14x = 10; 10 + 7 = 17

Scoring Rubric:4 The solution is correct, and all of the work is shown as above.

orA different logical method is used to find the correct solution.

3 The solution is correct, but not all of the work is shown.2 The solution is incorrect, but the work shows understanding of the concept.1 The solution is incorrect, and the work shows no understanding of the concept.

PTS: 1 DIF: Average OBJ: 2-1.PA01 Variables and ExpressionsNAT: 8.5.3.b TOP: 2-1 Variables and Expressions KEY: expression | algebraic expression | variable

ID: A

34

81. ANS: Answers could include any two of the following (the order in which y and 85 appear in each phrase is important):

y subtracted from 8585 minus ythe difference of 85 and yy less than 85take away y from 85

Scoring Rubric:4 Two of the example phrases are given with the operands in the correct order.3 Two of the example phrases are given; however, the operands are not in the correct

order.2 The answer includes only one example phrase that shows understanding of the

concept.1 The answer includes none of the example phrases and shows no understanding of

the concept.

PTS: 1 DIF: Average OBJ: 2-2.PA02 Translate Between Words and MathNAT: 8.5.2.a TOP: 2-2 Translate Between Words and Math KEY: expression | algebraic expression

82. ANS: The solution is q = 72.

58 = q – 14 + 14 = + 14

72 = q

Check58 = 72 – 14 ?58 = 58 ?Yes




PTS: 1 DIF: Average OBJ: 2-6.PA06 Solving Subtraction EquationsNAT: 8.5.4.a TOP: 2-6 Subtraction Equations KEY: equation | solving | subtraction

ID: A

35

83. ANS: a. 9 chairs

4.6 ÷ 0.5 = 9.29.2 ≈ 9 Round down because you cannot have 0.2 of a chair.

b. 11 chairs4.6 ÷ 0.4 = 11.511.5 ≈ 11 Round down because you cannot have 0.5 of a chair.



3 Both solutions are correct, but not all of the work is shown.2 The solution for part a is correct, but the solution for part b is incorrect.

orThe solution for part a is incorrect, but the work for part b is correct.

1 Both solutions are incorrect, and the work shows no understanding of the concept.

PTS: 1 DIF: Average OBJ: 3-8.PA08 Interpret the QuotientNAT: 8.1.5.d TOP: 3-8 Interpret the Quotient KEY: decimal | division

84. ANS: 12 hour

1 13 −

56 =

43 −

56 =

43 • 2

2 −56 =

86 −

56 =

36 = 1

2




PTS: 1 DIF: Average OBJ: 5-3.PA08 Adding and Subtracting Mixed Numbers NAT: 8.1.3.gTOP: 5-3 Adding and Subtracting Mixed Numbers KEY: mixed number | addition | subtraction

ID: A

36

85. ANS: Arrange the list in order from least to greatest: 23, 27, 29, 35, 39, 45, 48.range = the greatest – the least = 48 – 23 = 25mean = 23 + 27 + 29 + 35 + 39 + 45 + 48

7 = 2467 = 35.142857 ≈ 35.1

median = the middle number when the list is in order = 35mode = no mode

Scoring Rubric:4 Each solution is correct, and all of the work is shown as above.

orA different logical method is used to find the correct solutions to the problem.

3 Each solution is correct, but not all of the work is shown.2 The solutions are incorrect, but the work shows understanding of the concept.1 The solutions are incorrect, and the work shows no understanding of the concept.

PTS: 1 DIF: Average OBJ: 6-2.PA01 Mean, Median, Mode, and RangeNAT: 8.4.2.a TOP: 6-2 Mean Median Mode and Range KEY: data set | range | mean | median | mode

86. ANS:

Draw a bar graph. Label the vertical and horizontal axes.For each value in the table, draw a bar the corresponding horizontal axis label. The height of the bar must match the value from the table and the vertical axis scale.

Scoring Rubric:4 The solution is correct, and the graph is correct as shown above.


3 The solution is correct, but the entire graph does not completely match above.2 The solution is incorrect, but the work shows understanding of the concept.1 The solution is incorrect, and the work shows no understanding of the concept.

PTS: 1 DIF: Average OBJ: 6-4.PA02 Bar Graphs NAT: 8.4.1.b TOP: 6-4 Bar Graphs KEY: bar graph

ID: A

37

87. ANS: a. The grade that sold the most is the eighth grade. The eighth grade had the highest

average sales per student in the fund-raiser.

b. The grade that sold the least is the seventh grade. The seventh grade had the lowest average sales per student.

Scoring Rubric:4 The solution is correct, and the explanation is complete as above.

orThe solution is correct, and a different logical explanation is given.

3 The solution is correct, but the explanation is incomplete.2 The solution is incorrect, but the explanation shows some understanding of the

concept.1 The solution is incorrect, and the explanation is missing or shows no understanding

of the concept.

PTS: 1 DIF: Average OBJ: 6-4.PA09 Bar Graphs NAT: 8.4.1.a TOP: 6-4 Bar Graphs KEY: bar graph

88. ANS:

PTS: 1 DIF: Average REF: Page 315 OBJ: 6-5.4 Making a Histogram NAT: 8.4.1.b TOP: 6-5 Line Plots Frequency Tables and Histograms KEY: histogram

89. ANS: The bar graph is misleading because the scale is not accurately drawn. It appears as though the number of sixth-graders is nearly half the number of seventh-graders.

PTS: 1 DIF: Average REF: Page 326 OBJ: 6-8.1 Misleading Bar Graphs NAT: 8.4.1.d TOP: 6-8 Misleading GraphsKEY: bar graph | misleading

ID: A

38

90. ANS: a. hexagonal pyramidb. 7 faces, 12 edges, 7 vertices

Scoring Rubric:4 The solutions are correct.3 Both solutions are correct, but not all of the work is shown.2 The solution for part a is correct, but the solution for part b is incorrect.

orThe solution for part a is incorrect, but the work in part b is correct.


PTS: 1 DIF: Average NAT: 8.3.1.c TOP: 10-6 Three-Dimensional Figures KEY: solid figure | classify | name

91. ANS: a. 19

20

P(attend) = 171180 = 19

20

b. 2401920 = 228

x

19 • x = 228 • 20

19x = 456019x19 = 4560

19

x = 240



3 Both solutions are correct, but not all of the work is shown.2 The solution for part a is correct, but the solution for part b is incorrect

orThe solution for part a is incorrect, but the work in part b is correct.


PTS: 1 DIF: Average OBJ: 12-2.PA07 Experimental Probability | 12-6.PA07 Making PredictionsNAT: 8.4.4.d TOP: 12-2 Experimental Probability | 12-6 Making PredictionsKEY: probability | experimental probability | probability | prediction

ID: A

39

92. ANS: least value: 22greatest value: 52mean: 35median: 33mode: 28range: 30The least stem and least leaf give the least value: 22.The greatest stem and greatest leaf give the greatest value: 52.Use the data values to find the mean: 22 + 24 + 28 +. . .+ 46 + 50 + 52

20 = 35.The median is the average of the middle values: 33.The mode is the number that occurs most often: 28.The range is the difference between the greatest and least value: 30.

PTS: 1 DIF: Average REF: Page 331 OBJ: 6-9.2 Reading Stem-and-Leaf Plots NAT: 8.4.1.a TOP: 6-9 Stem-and-Leaf Plots

93. ANS:

Step 1 Place the population on the vertical axis and the years on the horizontal axis. Step 2 Determine an appropriate scale and interval for each axis.Step 3 Mark a point for each rural value, and connect the points with straight lines.Step 3 Mark a point for each urban value, and connect the points with straight lines.Step 4 Title the graph, label the axes, and include a key.

PTS: 1 DIF: Average REF: Page 323 OBJ: 6-7.3 Making a Double-Line Graph NAT: 8.4.1.bTOP: 6-7 Line Graphs

ID: A

40

94. ANS: Video

TypeFrequency Cumulative

Frequency

Comedy 5 5

Horror 7 12

Drama 4 16

Romance 2 18

True life 4 22

Video Type Frequency Cumulative Frequency

Comedy 5 5Horror 7 12Drama 4 16

Romance 2 18True life 4 22

PTS: 1 DIF: Advanced TOP: 6-5 Line Plots Frequency Tables and Histograms

95. ANS:

Step 1 Determine appropriate scales for both sets of data.Step 2 Use the data to determine the lengths of the bars. Draw bars of equal width. Bars should be in pairs. Use a different shade for each grade. Title the graph and label both axes.Step 3 Include a key to show what each bar represents.

PTS: 1 DIF: Average REF: Page 309 OBJ: 6-4.3 Problem-Solving Application NAT: 8.4.1.b TOP: 6-4 Bar GraphsKEY: bar graph | data | compare | problem solving

ID: A

41

96. ANS: n = 719 = n

63 Find the cross products.

9 • n = 1 • 63 The cross products are equal.

9n = 63 n is multiplied by 9.n = 7 Divide both sides by 9 to undo the multiplication.

PTS: 1 DIF: Average REF: Page 363 OBJ: 7-3.2 Using Cross Products to Complete Proportions TOP: 7-3 ProportionsKEY: proportion | cross products

97. ANS: (2, 5)Start at (0, 0). Move right 2 units and then up 5 units.The number of units moved right is the first number in the ordered pair, and the number of units moved up is the second number in the ordered pair.

PTS: 1 DIF: Basic REF: Page 319 OBJ: 6-6.1 Identifying Ordered Pairs NAT: 8.5.2.c TOP: 6-6 Ordered PairsKEY: ordered pairs

98. ANS:

The first number in the ordered pair tells how far right to move starting from the point (0, 0). The second number in the ordered pair tells how far up to move from the point (0, 0).

PTS: 1 DIF: Average REF: Page 320 OBJ: 6-6.2 Graphing Ordered Pairs NAT: 8.5.2.c TOP: 6-6 Ordered PairsKEY: ordered pairs | graph

ID: A

42

ESSAY

99. ANS: To add the numbers, first add the fraction parts together: 2

5 + 15 = 3

5 . Next add the whole numbers

together: 3 + 1 = 4. Write them together: 4 35 .

To subtract them, first subtract the fraction parts: 25 −

15 = 1

5 . Next subtract the whole numbers:

3 – 1 = 2. Write them together: 2 15 .




concept.1 The solution is incorrect, and the explanation is missing or shows no understanding of

the concept.

PTS: 1 DIF: Average OBJ: 4-8.PA12 Adding and Subtracting with Like Denominators NAT: 8.1.3.a TOP: 4-8 Adding and Subtracting with Like DenominatorsKEY: fraction | like denominators | addition | subtraction

100. ANS: The absolute value of a number is its distance from zero on a number line. Absolute values can never be negative.|5| = |–5| = 5




concept.1 The solution is incorrect, and the explanation is missing or shows no

understanding of the concept.

PTS: 1 DIF: Average OBJ: 11-1.PA10 Integers in Real-World SituationsNAT: 8.1.1.g TOP: 11-1 Integers in Real-World Situations KEY: integer

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6th grade to 7th grade Summer Packet - District - Home Practice.pdf · 6th grade to 7th grade Summer Packet ... Each student in the seventh grade will be required to write three papers