1-1 problem-solving practice - mr. haydenmath triumphs lesson 2-1 a33...

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NAME DATE Lesson

1-1 Problem-Solving Practice

Solve.

1 FRUIT Leon brought a bag of fruit to his after-school meeting.

There were 4 apples, 3 bananas, and 6 pears in the bag. What

fraction of the fruit were bananas?

2 SHIRTS Carla bought 5 new sweatshirts. Three sweatshirts were

red, 1 sweatshirt was blue, and 1 sweatshirt was green. What

fraction of the sweatshirts were blue?

What fraction of the sweatshirts were red?

3 BALLOONS Angie bought the following balloons for the party:

R

Y Y G G G

R R B B B B

What fraction of the balloons are blue?

What fraction of the balloons are red?

What fraction of the balloons are not green?

4 SCHOOL Savannah brought 20 muffins to share at snack time. She

gave 12 muffins to the students and 3 muffins to the teachers.

What fraction of the muffins did Savannah give out?

5 PUZZLES I am a fraction that has a denominator of 7 and a

numerator of 3. What fraction am I?

A6 Lesson 1-1 Math Triumphs

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A001_A027_MTCRMG6C1_888222.indd A6A001_A027_MTCRMG6C1_888222.indd A6 6/26/08 10:35:08 AM6/26/08 10:35:08 AM

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NAME DATE

Problem-Solving PracticeLesson

1-2

Solve.

1 SCHOOL Cory read 1 ___ 12

of a book over a weekend. Rogelio has

the same book. He read 1 __ 8 of the book over the weekend. Who

read more pages?

2 HOBBIES Maggie and her mother are making scrapbooks of their

vacation at the beach. Maggie has finished 1 __ 5 of her scrapbook. Her

mother has finished 1 __ 4 of her scrapbook. Who has finished more of

her scrapbook?

3 GARDENING The picture is a diagram of Luis’s garden. He

planted flowers in the shaded part of the garden.

In what fraction of the garden are flowers planted?

4 BASKETBALL Luis, Ben, and James are on a basketball team. They

scored the most goals in the last game. Luis scored 1 goal every 15

minutes of the game. Ben scored 1 goal every 20 minutes of the

game. James scored 1 goal every 10 minutes of the game. Who

scored the most goals?

5 FOOD Ms. Kim cut a pizza into 5 slices.

Hannah ate 1 __ 5 of the pizza. Shade the picture of

the pizza to show how many pieces Hannah ate.

6 COOKING Miriam baked cookies to share with her friends. Tom

ate 1 __ 7 of the cookies. Jenna ate 1 __

6 of the cookies. Miriam ate 1 __

9 of the

cookies. Who ate the least amount of cookies?

7 CALENDAR Mr. Jamison travels for business. He spent 1 __ 3 of the

week in Denver, 1 __ 5 of the week in Chicago, and 1 __

8 of the week in

Topeka, Kansas. Where did he spend the least amount of time?

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NAME DATE


1-3

Solve.

1 DESSERT Jenna baked apple pies for a family reunion. Each pie

was cut into 9 pieces. Her family ate 28 pieces of pie. Write the

number of pies Jenna’s family ate as an improper fraction and

as a mixed number.

2 SNACKS Jamal had a bag of oranges to share with his friends.

He divided each orange into four equal pieces. Sixteen orange

sections were eaten. How many whole oranges did Jamal and his

friends eat?

3 HOBBIES Michele used strips of wood to make square picture

frames. Each strip of wood was of equal length. She cut each strip

into 7 equal pieces and used a total of 20 pieces for the frames.

Write the number of strips of wood Michele used as an improper

fraction and as a mixed number.

4 PACKAGING Carlotta bought boxes of snack bars at the grocery

store. Each box contained 6 snack bars. During the week, her

family ate 15 snack bars. How many whole boxes of snack bars

did her family eat?

5 PACKAGING Henry bought 3 packs of tomatoes to make salsa.

Each pack has 4 tomatoes in it. He used a total of 9 tomatoes.

Write the number of packs of tomatoes Henry used as an improper

fraction and as a mixed number.

6 PICNICS Mrs. Meyers bought three jugs of lemonade for a school

picnic. Each jug contained 16 cups of lemonade. Students drank a

total of 39 cups of lemonade at the picnic. Write the number of

jugs of lemonade the students drank as an improper fraction and

as a mixed number.

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NAME DATE


1-4

Solve.

1 KNITTING Rachel and Lionel each knit a scarf 60 inches long. The

scarves are shown below. What fraction of Rachel’s scarf is white?

What fraction of Lionel’s scarf is white?

Do Rachel and Lionel have equal amounts of white in their

scarves? Explain.

Rachel’s Scarf

Lionel’s Scarf

2 LUNCH John cut his 12-inch submarine sandwich into 12 equal

pieces. He ate 2 pieces. Juanita cut her 12-inch submarine

sandwich into 6 equal pieces. She ate the same amount as John.

How many pieces of her sandwich did Juanita eat?

John’s Sandwich

Juanita’s Sandwich

3 DESSERT Sylvia made a blueberry pie and cut it into 6 pieces.

Thelma made a blueberry pie and cut it into 12 pieces. The pies

were the same size. How many pieces of Thelma’s pie equal

2 pieces of Sylvia’s pie?

4 BASEBALL Anton and Julian both pitched in Friday’s little league

game. Anton threw 45 pitches of which 18 were strikes. Julian

threw 40 pitches of which 16 were strikes. Who threw the greater

fraction of strikes in Friday’s game? Explain your answer.

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1-5

Solve.

1 MUSIC Chris practiced three songs on his trumpet. The lengths of

the songs are shown in the table below. Which song has the

greatest length?

2 SHOPPING Maria bought 1 __ 2 pound of white potatoes,

3 __

4 pound

of red potatoes, and 7 __ 8 pounds of sweet potatoes. Which kind of

potato weighed the least?

3 HARVEST Three friends went to a farm to pick strawberries.

The table shows the amount each person picked. Who picked

the greatest amount of strawberries?

Strawberries Picked

Name Weight (kg)

Lionel 7 __ 8

Duncan 5 __ 6

Jorge 3 __ 4

4 PIZZA Three friends each ordered a small cheese pizza for lunch.

Carolina ate 4 __ 9 of her pizza. Sharona ate

3 __

8 of her pizza. Leona ate

1 __ 3 of her pizza. Who ate the least amount of pizza?

5 GARDENING Manuel plants a vegetable garden every spring.

Tomato plants use 1 __ 3 of the garden space. Pepper plants use 1 __

6 of

the garden space. Squash plants use 1 __ 2 of the garden space. Which

vegetable takes up the greatest amount of space in the garden?

Songs

Name Length (min.)

Jubilee Rag 5 __ 6

Trumpet March 3 __ 4

Climb High 1 __ 2

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NAME DATE


1-6

Solve.

1 HOME IMPROVEMENT Look at the diagram of the den. Is the

fraction of the floor that has been installed closest to 0, 1 __ 2 , or 1?

2 HEIGHT A newly planted tree is 5 2 __ 9 feet tall. To the nearest half

foot, how tall is the tree?

3 CATERING Maneefa set out five pans of lasagna at a party she

catered. Fifteen minutes later, only 3 5 __

8 pans of lasagna remained.

To the nearest half pan, how much lasagna is left?

4 TIME Stela spent 12 6 ___

11 hours preparing her science project

presentation. To the nearest half hour, how long did Stela spend

preparing the presentation?

5 CONSTRUCTION The sill of a house is 18 13

___ 15

feet long. To the

nearest half foot, how long is the sill of the house?

6 NUTRITION Harvell’s nutritionist told him to eat at least 2 ___ 16

pound

of oily fish per day. To the nearest half pound, how much oily fish

is Harvell supposed to eat per day?

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NAME DATE Lesson


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Solve.

1 BRACELETS Laurie is making bracelets using heart-shaped and

triangle-shaped beads. She wants to use an equal number of beads

on each bracelet, without mixing the shapes. What is the greatest

number of each shape she can use on each bracelet?

2 PHOTOS Sinji has 72 landscape scenes and 30 still-life scenes for a

photo album. She decides to put as many photos as she can on a page.

She also wants each page to contain the same number of photos, but

she does not want to mix the types of scenes. How many photos

should she put on each page?

3 MUSIC Neil divided his music CD collection into three categories.

He is planning to pack the CDs in boxes. He wants to pack the

same number of CDs in each box, and he does not want to mix

the categories. What is the greatest number of CDs that can be

in a box?

CD Categories

Category Number

Rock 105Easy Listening 63Classical 84

4 SAMPLES Mr. Mancell is preparing packages of free samples for

his customers. He has 36 ink pens, 28 bandage holders, and 32 key

chains. He starts by dividing the samples into equal groups. What is

the greatest number of samples he could put in each group?

5 DANCERS Valentina’s dance team is working hard toward a

regional competition. There are 14 Petites, 42 Juniors, and 35 Seniors

on the team. Each group practices at a different time, but they are

all divided equally into rows. What is the greatest possible number

of dancers that could be in each row?

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Math Triumphs Lesson 2-1 A33

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NAME DATE

Problem-Solving Practice

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Solve.

1 RAIN During the month of April, it rained on 8 days. What is the

fraction of days it rained in April in simplest form? (Hint: There are

30 days in April.)

2 PIZZA Mrs. Tyler ordered two pizzas. One pizza was cheese and

one was pepperoni. The cheese pizza was cut into 12 pieces. The

pepperoni pizza was cut into 8 pieces. Her family ate 10 pieces of

the cheese pizza and 6 pieces of the pepperoni pizza. In simplest

form what is the fraction of each pizza eaten?

Cheese Pepperoni

3 BOOKS Hector divided the books he read last year into four categories.

In simplest form, what fraction of the books are mystery books?

4 BASEBALL A baseball pitcher threw a total of 75 pitches in a

ballgame. Forty of those pitches were strikes. In simplest form, what

fraction of the pitches were strikes?

5 MUSIC The school orchestra contains 32 musicians. There are 10

musicians in the brass section. In simplest form, what fraction of the

orchestra is the brass section?

6 TESTS A math test has a total of 100 questions. Darla got 84

questions correct. In simplest form, what fraction of the questions

did Darla answer correctly?

Lesson

2-2

Book Categories

Category Number

Mystery 8Science Fiction 12History 4Biography 4

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Solve.

1 PARTY Bruno bought 3 __

4 pound of cheese for a party. After the

party, 2 __ 3 of the cheese was left. How many pounds of cheese were

left after the party?

2 BIOLOGY Cierra has a test tube of cells. She needs to use 1 __ 5 of the

cells to make new cells. Of this 1 __ 5 , she puts 2 __

7 into Petri dishes.

What fraction of the total amount of cells did she put into the

Petri dishes?

3 DESSERT Nyoko is making cookies. The recipe requires 1 __ 3 cup of

sugar for 1 batch of cookies. How much sugar will Nyoko need to

make half the recipe?

4 COMPUTERS Vara’s hard drive is 2 __ 3 full with current files. Vara

saves 2 __ 3 of the current files and deletes the rest. How full is her

hard drive after deleting the files?

5 FITNESS When Tess trains for a marathon, she runs 2 __ 3 of a mile

each day during the week. On Saturdays, she runs 1 __ 3 of her

distance. How far does she run on Saturdays?

6 BUSINESS An office copy machine is stocked with paper 4 __ 5 of the

time. When the machine is stocked, it works properly 5 __

6 of the

time. What fraction of time is the copy machine fully stocked and

working the way it should?

Lesson

2-3

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Solve. Write the answer in simplest from.

1 COOKING Deepak made 4 __ 5

of a gallon of soup to feed 8 of his

friends. How much soup did each of his friends get?

2 ADVERTISING An hour long talk show plays 10 commercials in 1 __ 3

hour of advertising time. Assuming each commercial is equal in

length, how long is each commercial as a fraction of the hour?

3 CHEMISTRY Camille is working with a beaker of solution filled to

the 2 __ 5 L mark. She needs to divide the solution evenly between 6 test

tubes. How much solution should she pour into each test tube?

4 BUSINESS Mr. Valdez spent 2 __ 6 of his work day in meetings on

Friday. He had 3 meetings that each took the same amount of

time. As a fraction of his work day, how long was each of

Mr. Valdez’s meetings?

5 MACHINERY One machine runs for 8 __

9 of a shift. The machine

spends an equal amount of time on 4 different tasks. As a fraction

of the shift, how long does the machine spend on each task?

6 CONSTRUCTION Chenoa is building a dog house. She has one

piece of wood that is 6 __

7 of a yard long. She needs to cut it into 6

equal pieces. How long should she cut each piece?

Use a diagram to justify your answer.

Lesson

2-4

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NAME DATE Lesson


Solve.

1 CYCLING Becky takes a long bicycle ride every Saturday. The

odometer on her bicycle records her mileage. Becky reset her

odometer to 00.00 miles before her last ride. The odometer reading

is shown below. Write the distance Becky cycled in word form.

2 TOOLS Brandon needs to drill a six hundred twenty-five

thousandths inch in a piece of wood. Write the measure in

standard form.

3 HORSEBACK RIDING Sergio rode his horse for 3.56 miles. What is

this distance in word form?

4 RUNNING Sabrina and Aashi raced each other in a 100m sprint.

Their stop watches are shown below. Write their times in word form.

Sabrina Aashi

5 ENGINEERING Andre is designing a power system that uses a

motor with rating of three and seventy-five hundredths horsepower.

He tests the motor with a device that reads horsepower in decimal

units. What value should the testing device read in standard form?

6 TRAVEL Tia’s mother told her they would need to drive four

hundred eighty-two and sixty-three hundredths miles to Mount

Rushmore. What is the distance as a decimal?

7 BIOLOGY In Biology class, Adita’s frog weighed one and four tenths

kilograms. What is the decimal equivalent of the frog’s weight?


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NAME DATE


3-2

Solve.

1 GROCERY Abigail spent the amount shown at the grocery store.

How much did she spend?

2 SHOPPING Kyle bought a pair of shoes for $42.83. He gave the

cashier two $20-bills, two $1-bills, and some coins. What coins did he

give the cashier if he did not receive any change?

3 ENTERTAINMENT Paulina has a ten-dollar bill, three quarters, and

four pennies. She wants to buy a movie DVD. A comedy movie costs

$10.99. A drama movie costs $10.59. Which movie can Paulina buy?

4 BASEBALL Charro bought something from the concession stand at a

baseball game. He paid with three $1-bills and two quarters. Prices

for concessions are listed in the table below. What did Charro buy if

he did not receive any change?

Food Price

Soda $2.50

Pretzel $2.75

Hot Dog $3.50

5 WAGES Gaia earns $5.85 per hour at her after-school job. What is

Gaia’s hourly wage written in word form?

6 FLOWERS Tabitha bought a single carnation to give to her mother

on her birthday. She paid $2.68 for the flower. What combination

of coins and bills did Tabitha use if she used the fewest

number possible?

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NAME DATE


3-3

Solve.

1 METRIC CONVERSIONS A centimeter is about 2.54 inches. How long

is a centimeter to the nearest half of an inch?

2 RAINFALL It rained 13.65 centimeters in Houston last week. What

was the rainfall to the nearest centimeter?

3 CONSTRUCTION Leslie is replacing a rotten board on the side of a

house. The board measures 7.63 feet. Leslie wants to use a new board

that is closest in size to the one she is replacing. The new boards are

shown below. Which board should she use?

4 MEASUREMENT The Youngmans’ lot is 1.68 acres. How large is their

lot to the nearest half of an acre?

5 ENERGY The daily energy usage of some common household

appliances is shown below. Which appliance does not use about

1 kilowatt hour of energy per day?

6 TRAVEL Chiara went to Italy to visit her grandparents. They

traveled to Pisa, where Chiara saw the famous leaning tower. The

tower is 55.86 meters high. What is the height of the tower to the

nearest meter?

7 BIOLOGY Jorge found a rhinoceros beetle

in his flowerbed. It was 5.45 centimeters

long. How long is the beetle to the

nearest centimeter?

cm 1 2 3 4 5 6

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NAME DATE


3-4

Solve.

1 MANUFACTURING Amalia works in a factory. She measures parts

as they come off an assembly line. No part should measure more

than 1.65 cm. She measures three parts to be 1.09 cm, 1.73 cm, and

1.64 cm. Order these parts from least to greatest. Are all of the

parts within the requirement?

2 BIOLOGY Makalla has four test tubes, each containing a different

volume. Write the volumes from least to greatest.

Volume

3.9 mL3.7 mL3.5 mL3.8 mL

3 BASEBALL Marcos wants to know which of his friends has the

best batting average and which has the worst batting average. Look

at the list below. Which is the highest batting average and which is

the lowest?

Batting Averages

0.2730.3250.3710.3130.269

4 MEASUREMENT Coach Torres measured the heights of his players

for the basketball team photo. The players were 78.5 inches,

73.2 inches, 75.7 inches, 79.2 inches, 71.3 inches, 73.1 inches,

78.7 inches, and 79.5 inches. What is the correct order of the players’

heights from shortest to tallest?

highest:

lowest:

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NAME DATE


3-5

Solve.

1 BAKING Manu is baking cookies. His recipe requires 3 __

4 cup of

butter. He has 0.9 cup of butter. Does Manu have enough butter?

Explain.

2 FRUIT Sarala goes to the farmer’s market to buy a basket of

apples. She wants to buy the heaviest basket. Which basket should

Sarala buy?

Apples Weight

Basket A 2.3 lb.

Basket B 2 1 __ 4

lb.

Basket C 2.1 lb.

3 CHEMISTRY Lise measures the pH of five solutions. They are

7.15, 7 1 __ 4 , 7.22, 7

5 ___

10 , and 7.6. What is the order of pH levels from

least to greatest?

4 CONSTRUCTION Tansy needs to adjust the door frame in order to

install a new door. She tries a 1 __ 2 inch thick board and it is too

narrow. Then she tries a 0.75 inch thick board and it is too wide.

She finds two more pieces of scrap wood, one that is 0.78 inches

and one that is 0.63 inches. Which piece should Tansy try next?

Explain.

5 MANUFACTURING Kavi is a machinist. He needs to make a part

that is 12.37 inches by 3.65 inches. He has the stock material

shown below. Which size material should Kavi use?

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NAME DATE Lesson


Solve.Solve.

1 BIKING Yesterday, Angelica biked 6.73 miles from her house to

the park. Then she biked 14.62 miles from the park to a lake. Then

she biked 11.15 miles back to her house. How many miles did

Angelica bike?

2 CHEMISTRY Diego mixed 10.37 mL of solution with 1.28 mL of

water. How much liquid does Diego have now?

3 WELDING Ella welded a 2.46-inches thick piece of steel to a

0.75-inch thick piece of steel. How many inches thick is the new

piece of welded steel?

4 COMPUTERS Sanson needs to put two files on his flash drive.

One file is 63.8 MB and another file is 62.77 MB. His flash drive

can hold 128 MB of data. Will both files fit on the flash drive?

Explain.

5 ENGINEERING Yada Lin is designing a sprinkler system with two

lines. One of the lines will have a flow of 2.17 gallons per minute.

The other line will have a flow of 1.64 gallons per minute. What

will be the total flow of water when both lines are running?

6 BAKING Tran needs 7 pounds of apples to make four apple tarts.

He buys two bags of apple. One bag weighs 3.28 lb and the other

weighs 3.73 lb. Does Tran have enough apples to make four tarts?

Explain.


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NAME DATE


Solve.

1 GROCERY Emma bought several items at the grocery store. She

gave the clerk $20 to pay for her total bill of $12.54. How much

change did Emma receive?

2 GYMNASTICS Imani earned a score of 38.68 in her qualifying

event. She later earned a score of 39.82 in the final event round.

How much did Imani improve her score from the qualifying

round to the final round?

3 BASEBALL One measure of a baseball pitcher’s performance is his

earned run average. In his junior year of high school, Paco had an

earned run average of 6.19. In his senior year he had an earned

run average of 5.43. How much better was Paco’s earned run

average in his senior year than in his junior year?

4 BUTCHER SHOP Lorena needs 3 pounds of ground beef for a new

spaghetti recipe. The butcher scale reads 2.85 pounds. How much

should the butcher add to the scale to get the amount of ground

beef that Lorena needs?

ON OFF

5 COMMUNITY SERVICE To earn a badge in her service organization,

Kate is working 24 hours at a local hospital. The first weekend, she

works 8.25 hours. The second and third weekends she works

6 hours and 5.5 hours respectively. If Kate completes her work in one

month, how many hours will she work during her last weekend?

6 GEOGRAPHY Russia has the largest land area in the world. Its

land area covers 17 million square kilometers. The land area of the

United States is 9.16 million square kilometers. How much larger

is Russia than the United States in land area?

UNITED STATES

RUSSIA

Lesson

4-2

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NAME DATE


Solve.

1 GEOMETRY The area of a rectangle is found using the formula

A = � × w, where A is the area of the rectangle, � is the length of

the rectangle, and w is the width of the rectangle. What is the area

of this rectangle?

8 cm

5.7 cm

2 BUSINESS Elise charges $12.50 per hour to tutor students in

math. She tutored for 3 hours last night. How much money did

she earn? Round to the nearest cent if necessary.

3 GIFTS Leon has 8 nieces and nephews. As a holiday gift, he will

give each niece and nephew a gift certificate for a movie ticket,

popcorn, and a soda. If each gift certificate costs $8.75, how

much did Leon spend on the gifts? Round to the nearest cent

if necessary.

4 GEOMETRY The area of a triangle is found using the formula

A = 0.5 × b × h, where A is the area of the rectangle, b is the

measure of the base, and h is the height of the triangle. What is

the area of this triangle?

h = 4 in.

b = 6 in.

5 NUTRITION Suleisha ate 1.5 servings of lasagna. Each serving has

420 Calories. How many Calories were in the lasagna Suleisha ate?

Lesson

4-3

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NAME DATE


Solve.

1 MONEY Keenan works at a movie theater, selling tickets on the

weekend. He worked 9 hours one weekend and earned $83.25.

What was Keenan’s hourly wage?

2 BAKING Mark is making bread. He tripled a recipe and now has

16.5 cups of flour. How many cups of flour were in the

original recipe?

3 ARCHEOLOGY A dig site has an area of 514.5 square meters. The

archeologists working on the dig decide to divide the site into

6 equal portions. What will be the area of each portion?

20.5

m

25 m

4 MEASUREMENT Mrs. Arvisu is ordering a fence for her yard. The

fence must be ordered in yards. Mrs. Arvisu has determined that

she needs 350.4 feet of fencing. How many yards are in 350.4 feet?

(Hint: There are 3 feet in 1 yard.)

5 TRAVEL Cheyenne drove 978.2 miles making deliveries for her

job. She did this in 4 days. On average, how many miles did

Cheyenne travel each day?

6 MEDICINE A medicine bottle contains 60.5 milliliters. Each dose is

5 milliliters. How many doses are in the entire bottle?

7 CAMPING A scout troop is going camping. The five scouts have

camping gear that weighs a total of 109.3 pounds. If the scouts

divide the gear equally among themselves, how much will each

scout need to carry?

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Solve.

1 TEST MATERIALS Tayshia is helping her teacher pass out the

answer sheets for the quiz. Her class has 22 students and each

student gets 1 answer sheet. How many answer sheets will she

pass out?

2 MULTIPLICATION As shown below, Jorie, Reed, and Demont are

multiplying 10 × 72. Who is correct?

Jorie72

× 10702

Reed72

× 10720

72× 107,200

Demont

3 FRIENDS Each day Devon calls five of his friends. How many

phone calls will he make in 6 days?

4 PUZZLE Manuel wrote the following multiplication sentences on

a piece of paper and showed them to Allen. What number makes

each sentence true?

5 × ? = 0

? × 20 = 0

97 × ? = 0

5 SOUP If Darlene buys 12 times the number of soup cans shown

in the figure below, how many cans of soup does she buy?

6 PETS Karen feeds each of her rabbits 1 carrot before she goes to

school. If Karen has 17 rabbits, how many carrots does she need?

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Solve.

1 HEALTH Every day Matilda and her three brothers each take a

multi-vitamin. What is the total number of multi-vitamins they

take in all for one full week?

2 ARRAYS What multiplication fact is modeled by the array below?

3 SHOPPING Chochmo bought 3 boxes of golf balls. If each box

contains 12 balls, how many balls did he buy?

4 FORESTRY Mr. Rodriquez owns a tree farm. He planted several ash

trees as seen in the figure below. How many Ash trees did he plant?

5 TRAVEL Adam drove from Jacksonville, Florida to Atlanta,

Georgia. If he averaged 58 miles per hour while completing the

6 hour trip, approximately how far did he travel?

6 GEOMETRY Each side of a cube is called a face. What is the total

number of faces shown in the figure below?

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Solve.

1 CHECKING ACCOUNT Cindy’s bank charges $2 per check to pay her

bills from her checking account. If she wrote 9 checks last month,

how much did the bank charge her?

2 FENCING Aaron is building a dog pen for his three dogs. How much

fencing does he need to build the pen seen in the figure below?

8 feet

Dog Pen

8 feet 8 feet 8 feet

3 RUNNING Jenna has a 7 mile route that she runs each Saturday. If she

runs all 52 Saturdays during the year, how many miles will she run?

4 TOURISM Lake Front Tours charges $7 per person for a boat tour

of Lake Michigan. Complete the table below to find the revenue

generated based on the number of passengers on the tour.

5 EARNINGS Jessica earns $8 an hour working at the Ernie’s pet shop.

If Jessica worked 36 hours last week, how much did she earn?

6 THEATER SEATING The seating arrangement in row 1 of a movie

theater is shown in the figure below. If there are 40 rows in the theater

and they all contain the same number of seats, how many seats are in

the theater?

Row 1 Aisle Aisle

Number of

Passengers1 2 3 4 5 6 7 8 9

Revenue $7

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Solve.

1 MEASUREMENT A gross is equal to a dozen dozen, or 12 times 12. A

hotel manager ordered 3 gross of light bulbs. How many light bulbs

did she order in all?

2 DECORATING Eric is decorating his deck for a party. He is hanging

strings of lights that have 12 lights on each string. If he hangs 9

strings of lights, how many lights are there in all?

3 MONEY José saved $25 each month last year. How much did he

save in all?

4 NUTRITION A bag of pita chips contains 15 servings. Each serving is

about 11 pita chips. About how many chips are in the bag?

5 FOOD SERVICE The price of a large pizza is $11. Today the Pizza

Place sold 129 large pizzas. How much money did they make from

the sale of large pizzas?

6 CONTEST Each month every sixth grade student has to read

11 books. There are 110 students. How many books are read in a

month?

7 PACKAGING A package of crackers contains 12 crackers. There are

8 packages of crackers in a box. How many crackers are in the box?

8 EXERCISE Carlo biked 12 miles per day for 22 days. Rosa biked

11 miles per day for 24 days. Who biked the greater number of

miles? Explain how you found your answer.

Lesson

5-4

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Solve.

1 CHEMISTRY Darnell ordered 16 boxes of test tubes for his chemistry

lab. Each box contains 65 test tubes. How many test tubes did

Darnell order?

2 FLOWERS Jeremy owns a flower shop. On Valentine’s Day he sold

74 bouquets with a dozen roses in each bouquet. How many roses

did Jeremy sell on Valentine’s Day?

3 RUNNING Dakota has been preparing for a marathon for the past 18

weeks. She has run 23 miles each week. How many miles has Dakota

run during her training?

4 TRAVEL Zach is driving from Los Angeles to New York City. He has

driven for 29 hours, and his average speed is 59 mph. How many

miles has Zach driven?

5 TYPING Leah can type 65 words per minute. It takes her 15 minutes

to type a report. Approximately how many words are in the report?

6 BAKING Amelia owns a bakery. Every Tuesday she bakes

14 batches of cookies. Each batch makes the same number of cookies.

How many cookies does Amelia bake every Tuesday?

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Solve.

1 CHANGE Lucy has 70 pennies. For how many dimes could she trade

the pennies?

2 FLOWERS Kimiko planted 150 marigolds in rows of 10. One of the

rows is shown below. How many rows did she plant?

3 TELEPHONES On Monday, Felipe spent 45 minutes on his cell

phone. He made a call that lasted 45 minutes. How many calls did

Felipe make on his cell phone on Monday?

4 TECHNOLOGY Dave purchased a new MP3 player for $80.00. He

only had $10 bills in his wallet. How many of the bills did he need to

give the cashier?

5 HARDWARE Shenequa measured a screw to be 20 millimeters long.

If 10 mm = 1 cm, how many centimeters long is the screw?

6 BAKING Oya baked 110 cookies to give to 10 of her teachers. How

many cookies did she give each teacher?

7 CHARITY Ms. Dixon gives money to charities of her choice each

year. She is able to donate $500 this year. This year she is giving to

1 charity. How much does each of her selected charities get this year?

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Lesson

6-2

Solve.

1 RETAIL Ren bought a new DVD player that cost $40. How many

5-dollar bills did Ren give the sales clerk?

2 FOOD SERVICE Sarai and her two friends went out for lunch. They

decide to each pay an equal share. The restaurant bill was a total of

$36.00. How much does each girl owe?

3 BASKETBALL Tito scored the same number of points during each of

the first 4 basketball games of the year. He scored 40 points total.

How many points did Tito score during each game?

4 TECHNOLOGY Nikki’s hard drive is 30 gigabytes. She wants to

divide it into 2 equal parts. What size should Nikki make each part

of her hard drive?

5 BIOLOGY LaBron split his cell cultures into 6 new Petri dishes. After

preparing the cells, he has 24 milliliters of cell suspension. How

many milliliters does he need to add to each new dish?

6 MODELS Jonathan made a model of his car. His full-size car is

15 feet long. The full-size car is 5 times larger than the model car.

How long was Jonathan’s model?

7 EMPLOYMENT Fala worked 32 hours last week. She worked the

same number of hours each day for 4 days. How many hours did

Fala work each day?

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Lesson

6-3

Solve.

1 FUNDRAISING Toru sells tins of popcorn to raise money for the

school band. Each tin of popcorn sells for $8. He has raised $96

so far. How many tins of popcorn has he sold?

2 EMPLOYMENT Kwam works for a landscaping company. He

earns $9 per hour. The last pay period Kwam earned $180. How

many hours did he work?

3 FITNESS Ines has been working out every day for the past

49 days. How many weeks has Ines been working out?

4 CELEBRATION A group of 12 people went out to lunch for

Chantal’s birthday. Eleven of them decided to treat Chantal to

lunch. The total restaurant bill was $154. How much does each

person owe?

5 MAINTENANCE Trevor needs to make sure there is enough

cleaning solution to run a processing machine. He has 80 liters of

cleaning solution. The machine uses 10 liters of cleaning solution

every day. How many days can Trevor run the machine before he

runs out of cleaning solution?

6 TRAVEL Gen is driving from Atlanta, Georgia to Salt Lake City,

Utah. She estimates it will take her 28 hours to drive this distance.

She decides to drive an average of 7 hours per day. How many

days will it take Gen to complete her trip?

7 BIOLOGY Sara needs to run tests to determine if the DNA she is

looking for is present in her samples. The machine can hold a total

of 60 samples in 12 rows. How many samples are in each row?

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Solve. Tell what you will do with the remainder.

1 FOOD BANK The food bank just had a canned food drive. Carly is

putting family-size cans into boxes. She can fit 6 cans in one box.

Carly has a stack of 38 cans. How many boxes does she need?

2 SNACK TIME Mr. Green has 9 apples. There are 8 children in his

group. How many apples can each child have?

3 LUAU Veronica bought 37 flower necklaces called leis for her

Hawaiian luau party. There were 18 guests at the party. How

many leis could Veronica give each guest?

4 GARDENING Hank has 4 large flowerpots. He buys 50 plants at

the garden center. He wants each pot to have the same number of

plants. How many plants should he put in each flowerpot?

5 TEAMS Mr. Patel needs to divide his class into teams to play a

game. There are 31 students in the class. Each team needs no more

than 4 players. Into how many teams does Mr. Patel need to

divide his class?

6 BIRTHDAY PARTY Phuong had pizza at her birthday party.

Including Phuong, there were 9 guests. The pizzas were sliced into

32 pieces. How many slices could each guest have?

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Solve.

1 SAVINGS Jun wants to save $900 over the next 12 months. How

much money should she put in the bank each month?

2 MEASUREMENT Teresa and Sonia are identical twins—even their

weight is the same. Their combined weight is 218 pounds. How

much does each girl weigh?

3 SCHOOL At the beginning of the school year, the principal learns

that she will have 189 seventh-graders in her school. She has

7 teachers for the seventh-grade homerooms. How many students

should she assign to each seventh-grade homeroom?

4 FISH A new pet store just received their shipment of 198 pet fish.

They need to limit the number of fish that they put in each tank to

6 fish. How many fish tanks will the pet store need for their

new shipment?

5 COMMUNITY SERVICE Five students volunteered for a total of

185 hours at the local hospital. Each of the students volunteered the

same number of hours. How many hours did each student volunteer

at the hospital?

6 ART Maya made $378 by selling all 9 of her

paintings at the craft fair. Each painting was

sold for the same price. For what price did

Maya sell each of her paintings?

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Lesson

6-6

Solve. Show the remainder if there is one.

1 CLASS SIZE There are 744 students at Carver Middle School.

There are 31 homeroom classes. How many students are in

each homeroom?

2 WORK HOURS A hospital intern worked 1,000 hours in just

12 weeks. How many hours did he work each week?

3 GAS MILEAGE Mr. Cho drives a hybrid car. Last month he drove

1,065 miles. His car used 28 gallons of gasoline. What was his car’s

gas mileage last month (miles per gallon)?

4 INTERNET CONNECTION Blanca’s internet connection is very slow

during certain times of the day. She downloaded a 2,226 kilobytes

file when her internet connection averaged 53 kilobytes/sec. How

many seconds did it take for Blanca’s file to download?

5 FARMER’S MARKET Tally has 235 peaches to sell at the farmer’s

market. She puts at least 12 peaches in each bag. How many bags

does Tally need? How many peaches are left after Tally puts

12 peaches in each bag?

6 MARBLE TILE Ilya lays marble tile floors. His current project will

cost his customer $5,000 dollars at a price of $61 per square foot.

How many square feet of tile is Ilya laying?

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Lesson


Solve.

1 GARDENING The dimensions of a flower garden are 15 feet long

by 5 feet wide. In simplest form, what is the ratio of the garden’s

width to its length?

length = 15 feet

width = 5 feet

2 HOBBIES A jewelry-making kit contains 15 blue beads, 25 red

beads, 10 yellow beads, and 30 black beads. In simplest form,

what is the ratio of red beads to black beads?

3 ELECTIONS Carlos, Leona, and Kim ran for class president. The

table below shows the number of votes each student received. In

simplest form, what is the ratio of votes Carlos received to the

total number of votes?

Votes Counted for Class President

Carlos |||| |||| |||| |||| ||

Leona |||| |||| |||| |||| |

Kim |||| |||| |||

4 WEATHER During the first 28 days of April, it rained on 8 days. If

it rains the last two days of April, what will be the ratio of the

number of rainy days in the month to the total number of days in

the month? Write your answer in simplest form.

5 BASEBALL A baseball team played 120 games during a season.

If the number of games won is 80, what will be the ratio of the

number of games won to the total number of games?


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7-2

Solve.

1 CARNIVAL Jess goes to the carnival every year. Each ride requires

tickets. Complete the ratio table to find the number of tickets Jess

needs to go on a certain number of rides.

Number of rides 4 8 12 16 20

Number of tickets 8

2 BAKING Mrs. Taylor keeps track of the number of raisins she uses

when she makes cookies. Complete the ratio table to compare the

number of raisins to the number of cookies.

Number of raisins 72 108 144

Number of cookies 12 14 20

3 OFFICE Kirsten tracks the number of copies she can make on the

photocopier over different lengths of time. Complete the ratio table.

Based on the table, how long would it take for Kirsten to make

450 copies?

Number of copies 90 180 360

Number of minutes 2 5 8

4 CAMP Billie is the director of a summer camp. For each session

during the summer, she notes the number of chaperones and the

total number of campers. Extend Billie’s table to complete each ratio.

How many chaperones does Billie need for 90 campers?

Number of chaperones 18 24 40

Number of campers 81 126 162 180

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7-3

Solve.

1 TECHNOLOGY A laser printer can print 150 pages in 5 minutes.

Find the number of pages printed per minute.

2 FITNESS The table below shows the time and distance walked

for two different walkers. Which walker had the faster unit rate?

Show your work.

Jenna Theo

Time Distance Time Distance

120 minutes 8 miles 90 minutes 6.5 miles

3 FOOD The diagrams below show the prices of large pizzas at

two local restaurants. Which restaurant has the lower unit cost

per pizza?

Pizza ShackSpecials

Buy 2 largepizzas for$12.99 and get 1large pizza free

Leo’s Pizza Parlor

Large Pizzas - $5.50 each

4 PLANTS Sally’s lima bean plant grew 4.5 inches in 3 months. Her

pinto bean plant grew 8.4 inches in 4 months. Which plant grew at

a faster rate?

5 TRAVEL A jet aircraft traveled 2,750 miles in 5 hours. Find a unit

rate to describe its average speed.

6 POPULATION Which state in the table below has the greatest

population per square mile?

State2002 Estimated

Population

Approximate Land

Area in sq miles

Maryland 5,500,000 9,800

New York 19,200,000 47,000

Connecticut 3,500,000 5,000

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7-4

Solve.

1 COINS The bag below contains some pennies, nickels, dimes, and

quarters. One coin is drawn from the bag without looking. What is

the probability that the coin is a penny or a quarter?

2 FRUIT A bag contains 3 oranges, 4 tangerines, 2 pears, and

2 apples. A piece of fruit is chosen without looking. What is

the probability that the fruit is not an orange color?

3 TICKETS A group of 15 people are attending a baseball game, but

they were not able to get seats together. The table below shows

the number of seats purchased in each row. The tickets for each

seat are placed in a bag, and each person picks one ticket

without looking.

Tickets Available

Row Number Number of Tickets

1 3

5 1

12 2

16 5

27 4

a) What is the probability that the first person who picks a ticket

gets a seat in row 1?

b) What is the probability that the first person who picks a ticket

gets a seat in an even numbered row?

c) What is the probability that the first person who picks a ticket

gets a seat in row 12 or greater?

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NAME DATE


Solve.

1 SAVINGS Mandy saved $15 in January and $22 in February.

Dasan saved $22 in January. How much money does Dasan need

to save in February to have the same amount of money as Mandy?

2 NUTRITION Darla ate a whole-wheat bagel and 1 __ 2 cup of broccoli

with lunch. Simon ate 1 __ 2 cup of raspberries and a whole-wheat

pita with lunch. The chart below shows the amount of fiber in

each food item. Compare the total grams of fiber eaten by Darla

and Simon. Justify your answer.

Fiber Grams in Different Foods

Food Fiber (grams)

Whole-wheat pita 4Whole-wheat bagel 4

Broccoli ( 1 __ 2 cup) 3

Raspberries ( 1 __ 2

cup) 3

3 FITNESS Nari walked 5 miles each day for 3 days. If Lawrence

walks 3 miles each day, how many days will it take for

Lawrence to walk the same number of miles as Nari?

4 INTERIOR DESIGN Sleepy Time Hotel and Overnight Stay Inn are

putting new curtains in each room. Each room has one window.

Sleepy Time Hotel has 10 floors and each floor has 12 rooms.

Overnight Stay Hotel has 12 floors and each floor has 10 rooms.

Compare the number of new curtains in each place. Justify

your answer.

5 FLOORING Mr. Garcia and Mrs. Lansing are laying tiles on their

porches in the patterns shown below. Compare the number of

tiles on the each porch. Justify your answer.

Mr. Garcia’s Porch Mrs. Lansing’s Porch

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NAME DATE


Solve.

1 LANDSCAPING Mr. Batista planted 15 tulip bulbs, 25 daffodil

bulbs, and 12 iris bulbs. How many bulbs did he plant in all?

2 PENS Rachel bought the packages of pens shown below.

How many pens did Rachel buy in all?

Contains 6 Pens Contains 15 Pens Contains 20 Pens

3 PIANO Delilah practiced the piano for 1 hour on Monday,

45 minutes on Tuesday and 1 hour and 15 minutes on Wednesday.

How many hours did Delilah practice in all?

4 HOTEL A hotel has 10 floors. Each floor has 15 rooms.

Each room has 2 chairs. What is the total number of chairs

in the rooms of the hotel?

5 OLYMPICS During the 2004 Summer Olympic Games,

the United States won 36 gold medals, 39 silver medals,

and 27 bronze medals. How many medals did the United States

win in all?

6 PHOTOS Lionel filled an album with photographs. Each page has

2 rows of photographs and 4 photographs in each row. The album

has 15 pages. How many photographs are in the album?

Lesson

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NAME DATE


Solve.

1 GARDEN A farmer plants tomato plants using the plan shown

below. How many tomato plants does she plant in all?

6

10

15

5

2 FOOTBALL A football team scored 4 touchdowns (each worth

6 points) and 4 extra points (each worth 1 point). How many total

points did the football team score?

3 KNITTING Lavelle knitted 12 scarves. Each scarf used 30 yards of

green yarn and 15 yards of blue yarn. How many yards of yarn

did Lavelle use in all?

4 FITNESS Alano jogs 8 miles on Mondays and 6 miles on

Thursdays. How many total miles does he jog in 3 weeks?

5 BASKETBALL Willa made four 2-point baskets in the basketball

game. Elisa made five 2-point baskets in the game. How many

points did Willa and Elisa score in all?

6 SAVINGS Larisa saved $10 the first week of the month and $15

the last week of the month. She does this for 3 months. How

much does she save in all?

7 FLOORING Mrs. Bateman is putting tiles on her kitchen floor in

the design shown below. How many tiles does she need to buy?

3

6

10

13

Lesson

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NAME DATE


Solve.

1 KITTENS Carla has 2 cats. Each cat had 5 kittens. She found

homes for 7 kittens. How many kittens does Carla have now?

2 BAKERY A baker made 15 loaves of white bread, 12 loaves of

wheat bread, and 10 loaves of rye bread. A customer bought 2

loaves of each kind of breads. How many loaves of bread are left?

3 EARNINGS On Monday, Colin worked 3 hours, earned $10 per

hour, and spent $5 for lunch. On Tuesday, Colin worked 7 hours,

earned $8 per hour, and spent $6 for lunch. How much money

does Colin have now?

4 COOKIES Shamika baked 60 oatmeal cookies for a bake sale. She

divided the cookies equally among 12 bags. At the bake sale she

sold 7 bags of cookies. How many cookies does Shamika have left?

5 COMPUTERS Emilio received a $15 discount when he bought an

ink-jet printer. He also bought 2 black printer cartridges, 1 color

printer cartridge, and 5 packages of paper. His receipt is shown

below. How much did Emilio spend in all?

Computer World

Ink-jet printer 1 @ $125.00– Discount –$15.00

Black printer cartridges2 @ $35.00

Color printer cartridges1 @ $35.00

Paper 5 @ $5.00

6 AMUSEMENT PARK Lalana paid $12 for admission to an

amusement park. She rode the roller coaster 3 times and the Ferris

wheel 2 times. Each ride cost $2. She also bought a hamburger and

2 lemonade drinks during the day. How much money did Lalana

spend in all?

Lesson

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9-2

Solve.

1 EARNINGS Flor earns $9 for every hour she works at the movie

theater. This week she worked h hours. The expression 9 × h

represents how much money Flor earned this week. What is

the operation?

2 SCREWS Bimisi finds 56 screws on a shelf. He also finds a box of

screws in the storage room. The expression 56 + s represents how

many screws Bimisi has altogether. What is the variable?

3 PENCILS Sashi had t pencils. She gave 1 pencil each to 6 of her

friends. The expression t - 6 represents how many pencils Sashi

has left. What is the constant?

4 CONCRETE Al is building a new tiled patio in his backyard.

The expression 5 × w represents how many square yards of

tile Al will need to make his patio. What is the operation?

5 READING Crystal has read 125 pages in her book. The expression

p - 125 represents how many pages Crystal has left to read. What

is the operation?

6 CELL PHONE Goro made 40 calls on his cell phone last month.

He talked for a total of x minutes. The expression x ÷ 40

represents the average length of time Goro spent on each call.

What is the variable?

5 yards

w y

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9-3

Solve.

1 EXERCISE Juwan runs 2 miles every day. Write an expression to

represent how far Juwan runs in d days.

2 AIR CONDITIONING Hao installs air conditioning units. Each unit

can produce 1.5 tons of cooling. Write an expression for the

amount of cooling of u units.

3 TRAVEL Leon has been driving at a constant speed of 60 miles per

hour. Write an expression for how long it will take Leon to travel

m miles.

4 GEOMETRY Write an expression for the sum of the side lengths of

the triangle.

6

13

x

5 AGES Celeste is 15 years old. Her sister is 12 years old.

Their brother is y years old. Write an expression for their

combined ages.

6 READING Aisha reads 25 pages per hour. Write an expression for

how many pages she can read in h hours.

7 TESTS Sumi scored t points fewer than

Clara on their biology test. Write an

expression to find Sumi’s test score.

Clara’s test is shown at the right.

8 MAGAZINES The administrative assistant arranged 30 magazines

equally on t tables in the waiting area. Write an expression

representing the number of books on each table.

Name :1 3d + 17d2 4t + 18 + 10t

3 8a + 5 + 6 + 3a4 4 + 5u + u + 4

5 5y + 2 + 5y + 36 c + 7 + 3c + 3

7 6k + 4 + 3k + 78 2g + 6 + 2g + 9

9 7r + 8 + 2r + 1

Clara

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9 - 4

Solve.

1 HOUSEWORK Mr. Hatano needs to clean his house. It typically

takes him h hours to dust, 2h hours to vacuum, and 2 hours to

clean the kitchen. The expression h + 2h + 2 represents the number

of hours he needs to clean his house. Simplify the expression.

2 MOVIES The Gibbons family has several children. The table

shows the cost of items that the family buys for each child when

they go to the movies. Write and simplify an expression that

represents how much it costs for the Gibbons children to go to

the movies.

Item Cost

Child’s ticket $4

Small popcorn $2

Small soda $2

3 EGGS Mykia kept track on a chalkboard

of how many dozen eggs she used each

day last week. Somebody erased her

marks from Saturday and Sunday. She

knows she always uses twice as many

eggs on Sunday as she does on Saturday.

Using the letter e, write and simplify an

expression to show how many dozen eggs Mykia used last week.

4 CABINETRY Seth packs 8 screws for each cabinet door and 4 screws

for each shelf. In addition, he packs 2 extra screws for each cabinet

door order and 1 extra screw for each shelf order. The expression

8c + 2c + 4s + s represents the number of screws he packs.

Simplify the expression to determine how many screws should be

packed based on the number of cabinet doors and shelves.

5 FUND-RAISER Elise sold x raffle tickets for the school fundraiser.

Jordan sold three times as many tickets as Elise. Sasha sold

22 tickets. Nair sold 15 tickets. Write and simplify an expression

that represents the number of tickets sold by these four students.

Saturday Sunday

MondayTuesday

Wednesday Thursday

Friday

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9-5

Solve.

1 EARNINGS For a typical shift, Alex gets paid $15 per hour.

The expression 15h represents how much Alex can expect to make

during a shift. Determine how much Alex should make if he works

a 5-hour shift.

2 ALLOWANCE Pelipa gets $2 more per week in allowance than her

younger brother. Pelipa’s brother gets $10 per week in allowance.

How much is Pelipa’s allowance?

3 GARDENING Sujit started a garden. The garden is 4 feet longer

than it is wide. Sujit’s garden is 3 feet wide. How long is the

garden?

? Feet

3 Fe

et

4 ELECTRICITY An air conditioner (A/C) consumes 2 kilowatts of

electricity on low and 5 kilowatts of electricity on high. The

expression 2l + 5h represents how much electricity the A/C unit

uses. Leandro ran the A/C unit for 3 hours on low and 6 hours

on high yesterday. How many kilowatts of electricity did the

A/C unit consume?

5 SHOPPING Ayako went shopping this morning. She bought the

pants and socks shown below. She also bought a shirt that cost $5

more than the pants. How much did she spend?

$5$30

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9-6

Solve.

1 BAKING Tybalt is making a peach cobbler.

He needs 5 pounds of peaches. He has 3 pounds

of peaches right now. Use a model to show

how Tybalt could determine how many more

pounds of peaches he needs.

2 INVENTORY A case of light bulbs at a hardware

store contains 20 boxes of light bulbs. Seven boxes

of light bulbs have been sold. Use a model to

show how many more boxes must be sold before

the case is empty.

3 LANDSCAPING Mrs. Rogers is laying a brick path.

The path is 12 feet long. She has laid bricks along

7 feet of the path. Use a model to show how many

more feet of bricks Mrs. Rogers will lay.

12 Feet

4 CRAFTS Casey needs 16 pieces of ribbon, and so far

she has cut 9 pieces. The equation r + 9 = 16 can be

used to find how many more pieces of ribbon

Casey has to cut. Draw a model of the equation.

5 FIELD TRIP Mr. Solano’s class is going on a field

trip. He collected 3 permission slips today. When

Mr. Solano added them to the permission slips he

already had, he had a total of 10. The equation

p + 3 = 10 could be used to find how many

permission slips Mr. Solano had before today.

Draw a model of the equation.

6 PICTURE FRAMING A picture framer has 7 pictures

to frame. He has finished framing 2 of them. The

equation f + 2 = 7 could be used to find how many

pictures still need to be framed. Draw a model of

the equation.

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1 BYPASS Malik takes a bypass to get to his grandmother’s house.

The speed limit on the bypass is 40 mph. Malik travels 3 hours on

the bypass. If he maintained the speed limit, what was the distance

he traveled on the bypass?

2 RUNNING Austin runs along a training path in preparation for a

marathon. He maintains a steady speed of 5 mph and completes

the path in 4 hours. What is the distance of the path?

3 DOG SLED Ethan travels by dog sled to check snowy trails for

safety. He keeps the dogs at a speed of 12 mph. After 2 hours at

this speed, how far has he traveled?

4 FLYING A jet flies at a rate of 18 miles per minute. How far will

the jet travel in 25 minutes?

5 CAMPING TRIP The Hayden family goes camping every year.

Mr. Hayden maintains a speed of 35 mph while traveling up the

mountain toward the family’s camp site. It takes 5 hours to reach

the site. How far did the Hayden family travel up the mountain?

6 BUS TOUR Renee is traveling with a tour group while visiting

several cities and major landmarks across the country. After touring

the Grand Canyon, the group boards the bus and travels at a speed

of 65 miles per hour for 7 hours to get to the next destination.

How far did they travel?

7 LEISURE Courtney and her friend Sherry enjoy a leisurely walk

at the park for about 2 hours. They keep a steady pace at about

2 miles per hour. How far did they walk?

8 LIMOUSINE Braylon celebrates his birthday party with friends in a

limousine. The driver maintains a speed of 40 miles per hour while

the friends watch movies and listen to music for 3 hours. What is

the distance that they travel during the party?

9 PLOWING Mr. Yeary keeps a speed of 6 miles per hour while

plowing his farmland. He plows for 4 hours. What is the total

distance that he travels?

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Lesson

10-1

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Lesson

10-2

Solve.

1 KARATE The students in Mr. Kim’s karate class warm up by

running one lap along the perimeter of a rectangular mat. The mat

is 80 feet long and 35 feet wide. How far do the students run?

2 DRIVING Drake’s older brother is learning how to drive. His father

instructs him to drive slowly along the path shown. How far does

Drake’s brother drive?

120 yd

225 yd

3 LIGHTS Michael is hanging decorative lights along the perimeter of

a window. The window is 214 centimeters long and 180 centimeters

wide. How many centimeters of lighting does he need?

4 BANNER Kayla is making a rectangular banner to hang up at a

pep rally. The banner measures 54 inches long and 9 inches wide.

She draws a colorful border on the banner. How long is the border?

5 SCRAPBOOK Mrs. Bryant uses a pair of scrapbooking scissors to cut

out a square sheet of paper. One side of the square is 18 centimeters.

What is the perimeter of the cutout?

6 BULLETIN BOARD Mrs. Arnold is purchasing a border for the

bulletin board shown. How many feet of border should she buy?

5 ft

4 ft

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Lesson

10-3

Solve.

1 POSTERS Mr. Lopez asked his students to create posters for their

final projects. The poster boards measured 51 centimeters by

76 centimeters. What was the area of each poster board?

2 PHOTOGRAPHY Jane and her brother posed for a formal portrait.

Jane will use the 11 inch by 14 inch framed portrait as a gift for her

grandmother. What is the area of the framed portrait?

3 CONSTRUCTION The opening of a typical doorway is 3 feet wide

and 7 feet tall. What is the area of the opening of a typical

doorway?

4 TABLE CLOTHS Tom purchased a tablecloth for his rectangular

dining room table. The tablecloth measures 60 inches by

102 inches. What is the area of the tablecloth?

5 GOLF The fairway of a golf course is rectangular in shape. Its

width is 22 yards, and its length is 280 yards. What is the area of

the fairway?

6 AIRPORT A small airport has a runway that is 900 meters long

and 75 meters wide. What is the area of the runway?

7 CONSTRUCTION Malik is building an additional 12 feet by 16 feet

bedroom onto his house. What is the area of the new bedroom?

8 BILLIARDS The surface of a billiards table is 44 inches wide

and 88 inches long. What is the area of the surface of the

billiards table?

9 COUNTERTOP A new kitchen countertop has dimensions of

244 centimeters by 76 centimeters. What is the area of the countertop?

10 NOTE CARDS Simon has an oral report for biology class. He made

several notes on note cards measuring 3 inches by 5 inches. What

is the area of each note card?

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Lesson

10-4

Solve.

1 TOYS Lina has a toy box in her room. The box is 4 feet long,

2 feet wide, and 3 feet tall. What is the volume of the toy box?

2 CEREAL A cereal box has a length of 20 centimeters, a width of

4 centimeters, and a height of 30 centimeters. What is the volume

of the cereal box?

3 MOVING TRUCK The Morris family is moving. To transport some

of their belongings to the new house, they rent a moving truck

with a trailer that is 5 feet wide, 8 feet long, and 10 feet tall. What

is the volume of the trailer?

4 CLOSET Robin has a large closet in her bedroom. The closet

measures 2 feet by 10 feet, and it is 8 feet tall. What is the volume

of Robin’s closet?

5 MUSIC BOX Kenji collects music boxes. Her favorite one has a

length of 4 inches, a width of 4 inches, and a height of 4 inches.

What is the volume of Kenji’s favorite music box?

6 AQUARIUM The Batista family has pet fish in a medium-sized

aquarium that is 62 centimeters long, 30 centimeters wide, and

30 centimeters high. What is the volume of the aquarium?

7 SANDBOX Scott is playing in his sandbox. He digs a rectangular

hole that measures 5 inches wide, 11 inches long, and 1 inch deep.

What is the volume of the hole?

8 GEOMETRY Each side length on a number cube measures

5 millimeters. What is the volume of the number cube?

9 TRASH A city provides commercial trash bins in several sizes.

One common trash bin measures 10 feet long, 8 feet wide, and

7 feet high. What is the volume of the trash bin?

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1-1 problem-solving practice - mr. haydenmath triumphs lesson 2-1 a33...

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