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Big Ideas Math Green Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 150 Write the ratio. A. circles to squares B. triangles to parallelograms C. multiplication signs D. dollar signs to arrows to equal signs E. addition signs to F. squares to triangles to division signs circles Use the table to write the ratio. G. rock to music H. music to country I. hip hop : music J. rock : country K. hip hop to jazz L. rock : country : hip hop Puzzle Time Name _________________________________________________________ Date _________ Did You Hear About The... A B C D E F G H I J K L Complete each exercise. Find the answer in the answer column. Write the word under the answer in the box containing the exercise letter. 17 to 5 AND 2 : 11 FAST 3 to 7; 3 : 7 THAT 4 to 5; 4 : 5 INTO 75 COW 25 SUNSHINE 3 to 4; 3 : 4 TWO 65 CART 7 to 2 AN 5 to 6; 5 : 6 HORSE 3 : 5 WAS 1 to 6; 1 : 6 MUST 12 HAPPY 2 to 3 to 4; 2 : 3 : 4 EACH 3 : 5 : 7 OXIDENT 4 to 6; 4 : 6 OXEN 7 : 17 IT 6 to 3; 6 : 3 BUMPED 1 to 2; 1 : 2 ROCKS 80 GRASS 3 to 17 OTHER 64 WEATHER 5.1 Music Rock Hip Hop Country Jazz Number 3 7 5 2

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Big Ideas Math Green Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 150

Write the ratio.

A. circles to squares B. triangles to parallelograms

C. multiplication signs D. dollar signs to arrows to equal signs

E. addition signs to F. squares to triangles to division signs circles

Use the table to write the ratio.

G. rock to music H. music to country

I. hip hop : music J. rock : country

K. hip hop to jazz L. rock : country : hip hop

Puzzle Time

Name _________________________________________________________ Date _________

Did You Hear About The... A B C D E F

G H I J K L

Complete each exercise. Find the answer in the answer column. Write the word under the answer in the box containing the exercise letter.

17 to 5 AND

2 : 11 FAST

3 to 7; 3 : 7

THAT

4 to 5; 4 : 5

INTO

75

COW

25 SUNSHINE

3 to 4; 3 : 4 TWO

65 CART

7 to 2 AN

5 to 6; 5 : 6

HORSE

3 : 5 WAS

1 to 6; 1 : 6 MUST

12 HAPPY

2 to 3 to 4; 2 : 3 : 4 EACH

3 : 5 : 7 OXIDENT

4 to 6; 4 : 6 OXEN

7 : 17 IT

6 to 3; 6 : 3 BUMPED

1 to 2; 1 : 2 ROCKS

80 GRASS

3 to 17

OTHER

64

WEATHER

5.1

Music Rock Hip Hop Country Jazz

Number 3 7 5 2

Copyright © Big Ideas Learning, LLC Big Ideas Math Green All rights reserved. Resources by Chapter

147

5.1 Practice A

Name _________________________________________________________ Date __________

Write the ratio in two ways. Explain what the ratio means.

1. flies to lizards 2. cars : trucks

3. notebooks : pencils 4. hamburgers to hot dogs

Use the table to write the ratio. Explain what the ratio means.

5. tubas : flutes 6. trumpets : tubas

7. flutes : tubas 8. trumpets : flutes

You and a friend make a total of 45 bird houses. Use the tape diagram to find how many bird houses you make.

9.

10.

11. There are 3 buses to carry 96 students on a field trip. Write the ratio of buses to students.

12. There are 18 pieces of chalk. The ratio of chalk that is yellow to chalk that is not yellow is 1 : 2. How many pieces of chalk are yellow?

13. The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

a. 100 people b. 280 people c. 440 people d. 760 people

14. You spend 90 minutes practicing flip tricks and slides on your skate board. The ratio of time spent on flip tricks to time spent on slides is 7 : 8. How much time do you spend practicing slides?

Instrument Number

Tubas 2

Flutes 5

Trumpets 3

You:

Friend:

You:

Friend:

Big Ideas Math Green Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 156

Puzzle Time

Name _________________________________________________________ Date _________

How Can A Leopard Change His Spots? Write the letter of each answer in the box containing the exercise number.

Find the missing value(s) in the ratio table.

1. 2.

3. 4.

5. 6.

Complete the ratio table to solve the problem.

7. For every 2 laps you swim, your friend swims 3 laps. You swim a total of 8 laps. How many laps does your friend swim?

8. An amusement park sells 5 bottles of water for every 2 bottles of juice. In one hour, the amusement park sells 20 bottles of water. How many bottles of juice does the amusement park sell?

6 2 8 3 1 5 7 4

Answers

I. 6, 6

Y. 22

M. 8

V. 4

G. 6, 24

N. 12

O. 10, 18

B. 8, 9

5.2

Butterflies 2

Flowers 7 14

Nickels 6 12

Dimes 11

Apples 5 15

Oranges 6 12

Carrots 8 16

Cucumbers 3 9

Cats 3 9

Dogs 2 4

Pens 3 6

Pencils 4 12

You 2 8

Friend 3

Water 5 20

Juice 2

Copyright © Big Ideas Learning, LLC Big Ideas Math Green All rights reserved. Resources by Chapter

153

5.2 Practice A

Name _________________________________________________________ Date __________

Write several ratios that describe the collection.

1. paper clips to index cards 2. books to pencils

Find the missing value in the ratio table. Then write the equivalent ratios.

3. 4.

Complete the ratio table to solve the problem.

5. For every 2 cars you wash, your 6. Your closet has 5 shirts for every friend washes 3 cars. You wash 2 sweaters. Your closet has a total of 8 cars. How many does 30 shirts. How many sweaters your friend wash? are in your closet?

7. You are making a salad. The ratio of olives to croutons is 5 : 3. You put 12 croutons in your salad. How many olives do you put in your salad?

You Friend

2 3

8

Shirts Sweaters

5 2

10

10

30

Cars Trucks

3 5

6

TVs Computers

2 7

21

Big Ideas Math Green Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 162

Puzzle Time

Name _________________________________________________________ Date _________

Where Does An Umpire Like To Sit When He Is Eating Dinner? Write the letter of each answer in the box containing the exercise number.

Write a rate that represents the situation.

1. 45 meters in 6 seconds

2. 3 meters in 4 seconds

3. 2.80 meters in 5 seconds

4. 12 meters in 3 seconds

5. 35 meters in 20 seconds

6. 10 meters in 60 seconds

Write a unit rate for the situation.

7. $45.00 for 9 pounds

8. $24 for 3 pounds

9. $390 for 6 pounds

10. $42 for 21 pounds

11. $180 for 10 pounds

12. $864 for 8 pounds

Decide whether the rates are equivalent.

13. 9 miles in 3 hours

27 miles in 6 hours

14. 152 points in 8 games

171 points in 9 games

4 1 9 3 10 6 12 13 8 5 7 11 2 14

Answers

T. $108 per pound

P. 35 meters : 20 seconds

E. 45 meters : 6 seconds

B. 12 meters : 3 seconds

E. $8 per pound

T. 3 meters : 4 seconds

I. 2.80 meters : 5 seconds

A. $18 per pound

L. $5 per pound

D. 10 meters : 60 seconds

H. $65 per pound

N. $2 per pound

E. yes

H. no

5.3

Copyright © Big Ideas Learning, LLC Big Ideas Math Green All rights reserved. Resources by Chapter

159

5.3 Practice A

Name _________________________________________________________ Date __________

Write a rate that represents the situation.

1. 2.

Write a unit rate for the situation.

3. $44 in 4 days 4. 12 haircuts in 4 hours

5. 256 heartbeats in 4 minutes 6. 15 liters in 3 minutes

7. 12 cans for 6 people 8. 27 outs in 9 innings

9. 85 drops in 5 minutes 10. 36 children from 12 families

Decide whether the rates are equivalent.

11. 17 heartbeats in 15 seconds, 12. 96 miles on 4 gallons, 68 heartbeats in 60 seconds 380 miles on 15 gallons

13. You receive 9 text messages in 12 minutes. What is the rate of text messages per hour?

14. You studied for 14 hours last week. What was your unit rate of hours of study per day?

15. In a walk for charity, you walk at a rate of 100 meters per minute. How long does it take you to walk 2 kilometers?

16. A deli sells a sandwich spread for $6.40 per pound. How much do you have to pay for 24 ounces of the spread?

17. You can buy 3 sandwiches for $4.95 or 4 sandwiches for $6.72. Which is the better buy?

18. You can buy 20 ounces of cereal for $4.40 or 16 ounces of the same brand for $3.68. Which is the better buy?

0Cans

Kilograms0

2

5

4

10

6

15

8

20

10

25

0Holes

Strokes0

3

10

6

20

9

30

12

40

15

50

18

60

Big Ideas Math Green Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 168

Puzzle Time

Name _________________________________________________________ Date _________

What Do You Call A Frog With A Cast On Each Of Its Back Legs? Write the letter of each answer in the box containing the exercise number.

Determine which car gets the better gas mileage.

1. 2.

Y. Car A Z. Car B N. Car A O. Car B

3. 4.

T. Car A U. Car B P. Car A Q. Car B

Determine which is the better buy.

5. 6.

M. Brand A N. Brand B P. Brand A Q. Brand B

7. Participant A did 120 jumping jacks in 10 minutes. Participant B did 140 jumping jacks in 14 minutes. Which participant had the greater jumping jack rate?

H. Participant A I. Participant B

3 5 7 2 4 6 1

5.4

Car A B

Distance (miles) 180 175

Gallons Used 6 7

Car A B

Distance (miles) 234 140

Gallons Used 9 5

Car A B

Distance (miles) 400 630

Gallons Used 20 18

Car A B

Distance (miles) 315 228

Gallons Used 15 12

Apples A B

Cost (dollars) 3.75 4.50

Pounds 3 5

Toothpaste A B

Cost (dollars) 2.64 3.60

Ounces 6 8

Copyright © Big Ideas Learning, LLC Big Ideas Math Green All rights reserved. Resources by Chapter

165

5.4 Practice A

Name _________________________________________________________ Date __________

Determine which car gets the better gas mileage.

1. 2.

Determine which is the better buy.

3. 4.

5. Protein Bar A has 15 grams of protein in a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?

Complete the ratio tables and graph the ordered pairs from the table. What can you conclude?

6.

7. You are choosing a song for your dance recital. Song A has 11 beats in 10 seconds. Song B has 7 beats in 6 seconds. Which song has the greater rate?

Car A B

Distance (miles) 130 125

Gallons used 8 9

Car A B

Distance (miles) 400 440

Gallons used 12 15

Chord Charts A B

Cost (dollars) 13 18

Downloads 10 15

Pens A B

Cost (dollars) 5 2

Pens 20 7

Miami, FL

Time (min) Temperature Drop (F)

5 2

10

15

20

Orlando, FL

Time (min) Temperature Drop (F)

3 1

6

9

12

Big Ideas Math Green Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 174

Puzzle Time

Name _________________________________________________________ Date _________

What Did The Alien From Outer Space Say To The Green Book? Write the letter of each answer in the box containing the exercise number.

Write the percent as a fraction or mixed number in simplest form.

1. 35% 2. 30%

3. 55% 4. 84%

5. 59% 6. 43.9%

7. 144% 8. 2.5%

9. 334% 10. 132.6%

11. 0.8%

Write the fraction as a percent.

12. 15

13. 25

14. 1125

15. 325

16. 2950

17. 16225

18. 1320

19. 7110

8 14 3 6 12 18 5 1 19 13 2 9 16 10 17 15 11 7 4

Answers for Exercises 1–11

E. 1631500

R. 11125

D. 4391000

A. 1120

O. 720

L. 140

T. 59100

E. 1125

R. 17350

U. 310

S. 2125

Answers for Exercises 12–19

R. 58% O. 40%

E. 305% A. 264%

M. 20% Y. 170%

D. 12% E. 44%

5.5

Copyright © Big Ideas Learning, LLC Big Ideas Math Green All rights reserved. Resources by Chapter

171

5.5 Practice A

Name _________________________________________________________ Date __________

Use a 10-by-10 grid to model the percent.

1. 5% 2. 45% 3. 52% 4. 27%

Write the percent as a fraction or mixed number in simplest form.

5. 20% 6. 25% 7. 65% 8. 44%

9. 32% 10. 9% 11. 250% 12. 120%

13. Describe and correct the error in writing 8% as a fraction.

Write the fraction or mixed number as a percent.

14. 625

15. 320

16. 710

17. 34

18. 950

19. 1225

20. 315

21. 4225

22. Describe and correct the error in

writing 3940

as a percent.

23. Of the students in your class, 25% walk to school. What fraction of the students walk to school?

24. At the age of 4 months, a puppy’s weight is 275% of its weight at the age of 2 months. How many times heavier is the puppy at 4 months than at 2 months? Write your answer as a mixed number in simplest form.

Find the percent.

25. 4 is what percent of 10? 26. 11 is what percent of 40?

27. Four out of every five visitors at an amusement park buy day passes. What percent of the visitors buy day passes?

28. Only 6 of the 75 trees in a park are at least 30 feet tall. What percent of the trees are under 30 feet tall?

Write a fraction and a percent to represent the shaded portion of the model.

29. 30. 31.

8 48%10 5

= =

39 9.750.975 9.75%40 100

= = =

Big Ideas Math Green Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 180

Puzzle Time

Name _________________________________________________________ Date _________

Why Was The Math Textbook Feeling Sad? Write the letter of each answer in the box containing the exercise number.

Find the percent of the number.

1. 10% of 50 2. 20% of 30

3. 25% of 40 4. 4% of 50

5. 40% of 60 6. 50% of 38

7. 60% of 70 8. 75% of 20

9. 15% of 10 10. 16% of 80

11. 17% of 25 12. 42% of 20

Find the whole.

13. 30% of what number is 9?

14. 50% of what number is 11?

15. 25% of what number is 20?

16. 60% of what number is 21?

17. 75% of what number is 12?

18. 10% of what number is 6?

19. 120% of what number is 48?

20. 150% of what number is 75?

21. The length of a rectangle is 16 inches. If the width is 50% of its length, what is the width of the rectangle?

22. In your math class, 60% of the students are girls. If there are 15 girls in the class, how many students are in your math class?

8 13 2 20 7 22 11 16 9 21 3 15 1 12 18 5 17 14 10 4 19 6

Answers for Exercises 1–12

D. 285

F. 112

O. 6 S. 19

L. 42 M. 144

H. 24 L. 10

A. 4125

E. 5

G. 2 P. 15

Answers for Exercises 13–22

T. 60 S. 35

P. 22 B. 50

I. 8 R. 30

E. 40 E. 25

L. 80 E. 16

5.6

Copyright © Big Ideas Learning, LLC Big Ideas Math Green All rights reserved. Resources by Chapter

177

5.6 Practice A

Name _________________________________________________________ Date __________

Find the percent of the number. Explain your method.

1. 25% of 80 2. 60% of 20 3. 20% of 50 4. 30% of 70

5. 35% of 80 6. 62% of 50 7. 3% of 90 8. 91% of 60

9. 50% of 64 10. 40% of 35 11. 8% of 75 12. 40% of 85

13. 52% of 44 14. 13% of 58 15. 110% of 40 16. 250% of 18

17. Describe and correct the error in finding 4% of 65.

Find the whole. Explain your method.

18. 20% of what number is 12? 19. 30% of what number is 15?

20. 75% of what number is 24? 21. 65% of what number is 39?

22. Yesterday, 5% of the 120 sixth graders at a school were late. How many sixth graders were late?

23. The sale price of a pair of pants is 65% of the regular price of $25. How much do you save by buying the pants on sale?

24. Your family drives 126 miles from Key West to the Florida mainland. About 15% of this distance is spent on bridges. How many miles of bridges do you travel over?

25. Before a century plant dies, a tall flower stem grows from its center. The flower stem grows for only two months to reach 40% of a height of 25 feet. How tall is the flower stem after two months?

4% of 65 0.4 65 26= × =

Big Ideas Math Green Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 186

Puzzle Time

Name _________________________________________________________ Date _________

How Do You Fix A Broken Pizza? Write the letter of each answer in the box containing the exercise number.

Complete the statement. Round to the nearest hundredth, if necessary.

1. 72 in. ? = cm 2. 3 qt ? ≈ L

3. 15 lb ? ≈ kg 4. 120 mi ? ≈ km

5. 7 L ? ≈ qt 6. 75 kg ? ≈ lb

7. 5 km ? ≈ mi 8. 54 cm ? ≈ in.

9. 24 in. ? cmh h

= 10. 32 lb ? kgday day

11. 52 L ? qtyear year

≈ 12. 7 km ? mimin min

13. Felicia is 63 inches tall. What is her height in centimeters?

14. Your backpack weighs 6 kilograms. What is its weight in pounds?

15. If the speed limit is 65 miles per hour, how many kilometers per hour can a person drive without speeding?

Answers

P. 160.02

I. 182.88

W. 21.06

T. 13.2

H. 193.2

A. 2.85

T. 14.4

O. 3.1

A. 104.65

S. 165

T. 55.12

O. 7.42

E. 6.75

M. 4.34

T. 60.96

5.7

8 1 11 4 14 5 12 2 9 7 13 15 6 10 3

Copyright © Big Ideas Learning, LLC Big Ideas Math Green All rights reserved. Resources by Chapter

183

5.7 Practice A

Name _________________________________________________________ Date __________

Answer the question. Explain your answer.

1. Which key is longer: 5 cm or 2 in.?

2. Which package is heavier: 85 g or 3 oz?

Copy and complete the statement. Round to the nearest hundredth, if necessary.

3. 500 cm ? = m 4. 9 qt ? = c

5. 10 ft ? ≈ m 6. 2000 m ? ≈ ft

7. 4 qt ? ≈ L 8. 50 g ? ≈ oz 9. 1.4 lb ? ≈ kg

10. A hurricane has a large eye of about 80 miles. How many kilometers wide is the eye?

Copy and complete the statement using < >or .

11. 3 kg ? 100 oz 12. 2 yd ? 200 cm

13. 15 gal ? 50 L 14. 100,000 cm ? 1 mi

Copy and complete the statement.

15. 2 in. sec ? ≈ cm sec 16. 2 ft day ? ≈ m day

17. 8 L h ? ≈ gal h 18. 80 oz yr ? ≈ g yr

19. The maximum sustained winds reached by a hurricane were 230 kilometers per hour.

a. What is this wind speed in miles per hour?

b. What is this wind speed in meters per hour?

c. What is this wind speed in meters per minute?

d. Use the Internet to determine the highest category attained by the hurricane.

20. A book is 15 centimeters long and 6 centimeters wide. What are the length and width of the book in inches? Round your answers to the nearest hundredth.

21. You have a liter bottle of orange juice. You want to divide the juice into one-cup amounts. How many cups can you pour? How much juice will be left over? Explain your answer.