NAME DATE PERIOD Lesson 1 Skills Practice

[Pages:8]NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Skills Practice

Factors and Multiples

Find the GCF of each set of numbers. 1. 15, 40

2. 16, 36

3. 12, 54

4. 24, 64

5. 39, 26

6. 35, 63

7. 36, 48

8. 35, 28

Find the LCM of each set of numbers.

9. 7, 10

10. 7, 49

11. 5, 10

12. 12, 18

13. 8, 28

14. 6, 14

15. 12, 15

16. 9, 24

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

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Course 1 ? Chapter 1 Ratios and Rates

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Skills Practice

Ratios

For Exercises 1?10, write each ratio as a fraction in simplest form. Then explain its meaning.

1. 3 sailboats to 6 fan boats

2. 4 tulips to 6 daffodils

3. 5 ducks to 30 geese

4. 5 baseballs to 25 softballs

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

5. 6 poodles to 18 beagles

6. 10 brown eggs to 12 white eggs

7. WALLPAPER The design on Santana's wall includes 16 pink stripes and 20 green stripes. Find the ratio of pink stripes to green stripes.

8. JAZZ BAND In the jazz band at Wyatt's school, there are 15 trumpets and 9 trombones. Find the ratio of trombones to trumpets.

9. WILDLIFE PARK At a wildlife park, Zoey counted 10 lions and 14 tigers. What is the ratio of lions to tigers?

10. MAILBOX In one week, Latrina received 18 letters and 8 bills. What was the ratio of bills to letters?

11. GYM CLASS Mr. Riley allowed a class of sixth graders to choose an activity for their gym class. What is the ratio of students playing volleyball to the total number of students? Write the ratio as a fraction in simplest form. Then explain its meaning.

Gym Class Activities

Activity Students

Volleyball

12

Softball

21

Soccer

3

12. FRUIT SALAD In a fruit salad, there are 12 strawberries, 14 grapes, 6 kiwis, and 4 papayas. Find the ratio of kiwis to the total number of pieces of fruit in the fruit salad. Write the ratio as a fraction in simplest form. Then explain its meaning.

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Course 1 ? Chapter 1 Ratios and Rates

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 3 Skills Practice

Rates

Write each rate as a unit rate. 1. 14 hours in 2 weeks

2. 36 pieces of candy for 6 children

3. 8 teaspoons for 4 cups

4. 8 tomatoes for $2

5. $28 for 4 hours

6. 150 miles in 3 hours

7. $18 for 3 CDs

8. 48 logs on 6 trucks

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

9. Write the ratio $12 dollars for 3 tickets as a unit rate.

10. CHORES Wayne raked 30 bags of leaves in 3 hours. If he raked the same number of bags each hour, how many bags of leaves did he rake in one hour?

11. QUIZZES Mr. Ordonez gives his math students 34 quizzes during 17 weeks of school. If he gave the same number of quizzes each week, how many quizzes does Mr. Ordonez give his students every week?

12. TOURS It cost Mrs. Sapanaro $245 for her and 6 people to take a day-long guided tour of the Everglades. How much does the guided tour cost per person?

13. RUNNING Stephanie ran 1 lap in 6 minutes. At this rate, how far would she run in 30 minutes?

14. ALTITUDE In general, the air temperature decreases 12?F for every 4,000 feet increase in altitude. If a hiker climbs 3,000 feet, by how much can she expect the temperature to decrease?

15. PURCHASES One bottle of shampoo costs $6 for 8 ounces. A second bottle costs $4 for 5 ounces of shampoo. Which has the lower unit rate? How much lower?

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Course 1 ? Chapter 1 Ratios and Rates

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 4 Skills Practice

Ratio Tables

Use the ratio table given to solve each problem.

1. BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How many cups of sliced apples are needed to make 4 apple pies?

Number of Pies

1

4

Cups of Sliced Apples 6

2. BASEBALL CARDS Justin bought 40 packs of baseball cards for a discounted price of $64. If he sells 10 packs of baseball cards to a friend at cost, how much should he charge?

Number of Baseball Card Packs

10

40

Cost in Dollars

64

3. SOUP A recipe that yields 12 cups of soup calls for 28 ounces of beef broth. How many ounces of beef broth do you need to make 18 cups of the soup?

Number of Cups Ounces of Beef Broth

12 18 28

4. ANIMALS At a dog shelter, a 24-pound bag of dog food will feed 36 dogs a day. How many dogs would you expect to feed with a 16-pound bag of dog food?

Pounds of Dog Food 16 24

Number of Dogs Fed

36

5. AUTOMOBILES Mr. Fink's economy car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons.

Miles

420

Gallons 12

8

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

8

Course 1 ? Chapter 1 Ratios and Rates

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 5 Skills Practice

Graph Ratio Tables

Graph and label each point on the coordinate plane.

1. A(1, 3)

2. B(4, 3)

y 8 7 6 5 4 3 2 1

O 1 2 3 4 5 6 7 8x

y 8 7 6 5 4 3 2 1

O 1 2 3 4 5 6 7 8x

3. C(2, 0)

y 8 7 6 5 4 3 2 1

O 1 2 3 4 5 6 7 8x

4. D(2, 5)

y 8 7 6 5 4 3 2 1

O 1 2 3 4 5 6 7 8x

5. E(5, 3)

y 8 7 6 5 4 3 2 1

O 1 2 3 4 5 6 7 8x

6. F(3, 4)

y 8 7 6 5 4 3 2 1

O 1 2 3 4 5 6 7 8x

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

7. MONEY One dollar is worth 4 quarters. The table below shows this relationship.

Quarters in a Dollar

Number of Number of Dollars Quarters

1

4

2

8

3

12

4

16

a. List this information as ordered pairs (number of dollars, number of quarters).

b. Graph the ordered pairs. Then describe the graph.

y 16 14 12 10 8 6 4 2

O 2 4 6 8 10 12 14 16x

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Course 1 ? Chapter 1 Ratios and Rates

NAME _____________________________________________ DATE __________________ PERIOD _________

Skills Practice

Problem-Solving Investigation: Four-Step Plan

Solve. 1. TRAVELING The speed limit on a highway is 70 miles per hour. Suppose you travel this highway at a constant speed of 70 miles per hour without any stops. How long will it take you to travel 350 miles?

2. BABYSITTING Katelyn babysits 2 babies who each eat 5 jars of baby food each day. How many jars of baby food will Katelyn need if she babysits them for 3 days?

3. CALORIES A 100-pound person burns 7 Calories a minute playing basketball. How many Calories per minute will he burn if he plays for an hour?

4. NUMBERS Find three even numbers that are less than 10 and have a sum of 18.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

12

Course 1 ? Chapter 1 Ratios and Rates

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 6 Skills Practice

Equivalent Ratios

Determine if each pair of ratios or rates are equivalent. Explain your reasoning.

1. $18 for 3 bracelets; $30 for 5 bracelets

2. 120 Calories in 2 servings; 360 Calories in 6 servings

3. 4 hours worked for $12; 7 hours worked for $28

4. 15 blank CDs for $5; 45 blank CDs for $15

5. 24 points scored in 4 games; 48 points scored in 10 games

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

6. 15 out of 20 students own hand-held games; 105 out of 160 students own hand-held games.

7. 30 minutes to jog 3 miles; 50 minutes to jog 5 miles

8. $3 for 6 muffins; $9 for 18 muffins

9. 360 miles driven on 12 gallons of fuel; 270 miles driven on 9 gallons of fuel

10. SHOPPING Miguel bought 2 pairs of jeans for $50, and Han bought 4 pairs of jeans for $90. Did they pay the same rate? Explain your reasoning.

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Course 1 ? Chapter 1 Ratios and Rates

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 7 Skills Practice

Ratio and Rate Problems

Solve. 1. GUACAMOLE Eli is making guacamole. He uses 2 tablespoons of cilantro for every 3 avocados. At this rate, how many tablespoons of cilantro will he need for 9 avocados?

2. MARBLES The ratio of blue marbles to white marbles in a bag is 4 to 5. At this rate, how many blue marbles are there if there are 15 white marbles?

3. FERTILIZER Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water, how much plant food should she use?

4. STRAWBERRIES At a local fruit stand, Luisa spends $3.96 for 2 pounds of strawberries. How much can she expect to pay for 4 pounds of strawberries?

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

5. POGO STICK On her pogo stick, Lula made 24 hops in 30 seconds. At this rate, how many hops will she make in 50 seconds?

6. TESTS On a test, Matilda answered 12 out of the first 15 problems correctly. If this rate continues, how many of the next 25 problems will she answer correctly?

7. SOCCER The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a total of 21 games?

8. VEGETABLES At a harvest, 16 ears of corn are being picked for every 18 peppers. If 9 peppers have been picked, how many ears of corn have been picked?

9. CONSTRUCTION At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed along 35 feet of road?

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Course 1 ? Chapter 1 Ratios and Rates

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