answer keys - amazon s3answer keys lessons 41–60 math textbook 4.5 multiplying greater numbers try...

04CMAKC0613-0615

Answer Keysfor Calvert Math

Lessons 41–60

CONTENTS

Math Textbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

Math Workbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40

Math Manual . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43

C A lv e r T e d u C AT i o n

04CMAKC

33

Answer Keyslessons 41–60 Math Textbook

4.5 Multiplying Greater NumbersTry These1 1,836 2 19,464 3 $13,330 4 6,318

Exercises1 7,521 2 10,212 3 $16,388 4 59,328 5 18,612 6 115,830 7 167,690 8 326,986 9 $630,288 10 635,922 11 factor 12 78 3 6,475 > 4,810 3 84

Problem Solving13 211,792 nails 14 $56,808

Mind Buildermath bath

4.6 Multiplying with MoneyTry These1 $40 2 $30.72 3 $21.28 4 $19.60 5 $180.16

Exercises1 $22.10 2 $32.66 3 $30.40 4 $28.86 5 $74.40 6 $33.75 7 $95.88 8 $71.64 9 $23,202 10 $53,172 11 $64,942 12 $52,272 13 $17,670 14 $125,450 15 $251,300 16 $502,191

Problem Solving17 $59.80 18 $498.40 19 17 corsages

Constructed Response20 a The cookies brought in $4.40 more. b $15.90 c Even though the cookies make up the majority of sales, the lemonade still makes up a part of the sales, so to double the sales, both the cookies and the lemonade must be doubled, not just the cookies.

Mixed Review21 63,982 22 7,217 23 $16.81 24 $21.15

4.7 Problem-Solving Application: Shopping CartTry These1 $14.49 2 $8.16 3 $1.28 4 $23.93

Solve1 $2.28 2 $0.79 3 $2.37 4 $0.90 5 $12.60 6 $0.30 7 $2.10 8 $0.37 9 $1.85 10 $21.20 11 $5.56 12 $0.63

Chapter 4 ReviewLanguage and Concepts1 a 2 e 3 b 4 c 5 d

Skills and Problem Solving6 800 7 1,500 8 360,000 9 42,000 10 2,700,000 11 400,000 12 1,200,000 13 30,000,000 14 2,100 15 200 16 54,000 17 16,000 18 24,000 19 12,000 20 160,000 21 240,000 22 585 23 4,522 24 1,920 25 7,380 26 $750 27 19,800 28 $97.34 29 28,033 30 123,662 31 $461.55 32 $3,616.84 33 576,631 34 $36,626.23 35 212,713 36 $1,872.50 37 1,763,042 38 turkey and tuna salad 39 roast beef 40 5 shrimp salad sandwiches, 3 tuna salad sandwiches, 2 chicken salad sandwiches

Chapter 4 Test1 3,600 2 4,000 3 4,000 4 32,000 5 140 6 810 7 15,620 8 768 9 64,090 10 40,641 11 122,304 12 318,644 13 $8.16 14 $896.28 15 $624.22 16 $2,249.75 17 533,188 18 $1,482.96 19 $86,370 20 504 spaces 21 $12.56 22 yes 23 crayons 24 notebook, ruler, and eraser

Change of Pace1 4 5 x

3

6

3 7 x

4

5

4 8 x

2

4

11

21

5

24

30

12

28

15

35

02

08

04

16

16

32

24 5 x

3

6

3 7 x

4

5

4 8 x

2

4

11

21

5

24

30

12

28

15

35

02

08

04

16

16

32

3 4 5 x

3

6

3 7 x

4

5

4 8 x

2

4

11

21

5

24

30

12

28

15

35

02

08

04

16

16

32

1,620 1,665 3,5524 1,242 5 6,293 6 31,098 7 14,553

Cumulative Test1 b 2 a 3 a 4 c 5 c 6 a 7 c 8 a 9 c 10 c

Chapter 5

5.1 Collecting, Organizing, and Displaying DataTry These1

2

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x

Boxes of Cookies Sold

1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x

Months Tally Total Number Counted

June 5July 4August 3

Flowers Tally Total Number Counted

Rose 6Daisy 5Buttercup 5Lily 4

Students Tally Total Number Counted

Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes

Favorite Cold-Climate Animals

0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest

Size Number of Fish Caught

S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers

Number of Hikers Per Trail

Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week

6-Week SnowfallAges of People at the

Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________N

um

ber

of

Inch

es

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

Math textbook answer key Lessons 41–60


04CMAKC

34

Exercises1

2

Problem Solving3

Girls have 4 more summer birthdays.

4 Possible answers: Jacob rolled a 3 the most. Jacob rolled a 1, 2, and 4 four times. Jacob rolled a 5 and 6 three times. 5 Answers will vary.

Mind Builder1 13 2 S

5.2 Mean, Median, Mode, and RangeTry These1 range: 3; mode: 9; median: 9; mean: 8 2 range: 7; mode: 5; median: 5; mean: 6 3 range: 7; mode: no mode; median: 18; mean: 19

Exercises1 range: 9; mean: 7; median: 6; mode: 6 2 range: 3; mean: 30; median: 29; mode: 29 3 range: 15; mean: 20; median: 24; mode: 12 4 range: 9; mean: 6; median: 7; mode: 7 5 range: 20; mean: 14; median: 15; mode: 15 6 range: 22; mean: 12; median: 9; mode: 7

Problem Solving7 lion 8 elephant 9 1,143 pounds 10 2,225 pounds

Constructed Response11 Yes, Thomas is correct because the camel, lion, and giraffe eat a combined 492 pounds per week, which is less than the 518 pounds that the hippopotamus eats weekly. 12 No, Ellen is incorrect because the median is the number in the middle only after the numbers in the data set are placed in order from least to greatest. The lion only appears in the middle on the chart, which has no particular order. When rearranged by amount of food eaten, it can be seen that the giraffe’s 280 pounds is the median.

5.3 Problem-Solving Application: Using StatisticsTry These1 mode 2 mean 3 median

Solve1 8 2 16 laps 3 14,120 miles 4 30°F 5 28°F

Test Prep6 c 7 d

Problem Solving

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

Cumulative Review1 nine million, five hundred sixty-seven thousand, one hundred twenty-three 2 6 3 1,000 4 81 5 152 6 1,700 7 180 8 245 9 170 10 448 11 690 12 3,000 13 86 14 117 15 88 16 12 17 6 18 8 19 maple 20 cedar 21 4 22 6

5.4 Single- and Double-Bar GraphsTry These1 Football; Tennis 2 Tennis; Basketball 3 Soccer 4 Tennis

Exercises1 2 30 votes

Problem Solving

3

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes XC

at

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2Nu

mbe

r of H

iker

s


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wnPet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)



04CMAKC

35

4

Test Prep5 c 6 d

5.5 Line GraphsTry These1 $3 2 $6 3 $6.50 4 $5 5 8 pounds 6 10 pounds 7 5 pounds 8 13 pounds

Exercises1

2 week 5 3 7 inches

Problem Solving4

5 Possible answers: 17°C or 18°C

5.6 Stem-and-Leaf PlotsTry These1 14 2 50 3 40 4 fifties

Exercises1

2 62 3 30; mean

Problem Solving4 13 neighborhoods 5 35 mph 6 35 mph 7 mean: about 28; median: 30; mode: 40

Constructed Response8 A new stem of 5 would need to be added, with one leaf of 5. The mean would increase to about 30, the median would increase to about 32, and the mode would remain unchanged.

Mid-Chapter Review1 70 species 2 60 species 3 245 species 4 35 species

5.7 Problem-Solving Application: Displaying DataTry These1 Possible answers: They both have titles and the axes are labeled. The vertical axis has a numerical scale. 2 The pictograph uses pictures or symbols to represent the data in the set.

Exercises1 false; They do not show continuous change over time. 2 A pictograph uses pictures or symbols to show a comparison between different values. A bar graph uses bars to show a comparison between different values.

Problem Solving3 Cheetah; Elephant; 45 mph 4 about 46 mph 5 Wildebeest, Lion

Constructed Response6 Possible response: Yes, because a bar graph uses bars to compare different values and the data that the students collected is about the speeds of different animals.

Mixed Review7 3,437 8 20,722 9 210,999 10 818,297

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X XTa

n

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)

50 5951 52 53 54 55 56 57 58

x x

xxxx

60

xxx x

x

x

x

1 10 2 3 4 5 6 7 8 9

xxx x

x

x

Temperatures

x x x


1 2 3 4 5 6

x

x

x xx

xxx

xxx

xxx

xx

x

xx

xx

xx

x






Boys 4Girls 8

Color

Benny Yes X X

Tan

Wh

ite

Bro

wn

Pet

Angie X X Yes

Kenny X Yes X

Cat

Do

g

Ham

ster

X Yes X

Yes X X X X Yes

Number of Votes


0 12108642

Walrus

Polar Bear

Seal

Penguin

Fish Harvest


S 12

M 4

L 2

Nu

mb

er o

f V

ote

s


0

12

10

8

6

4

2

Num

ber o

f Hik

ers


Trails

Summer

Winter

ValleyRidge

Eagle’s View

Castle Falls

Winding Willows

Clayton’s Cliff

4240383634323028262422201816141210

86420

16˚

14˚

12˚

10˚

6 7 8 9 10

Tem

per

atu

re (

˚C)

Morning Temperature

Title: _____________________

Nu

mb

er o

f In

ches

18

16

14

12

10

8

6

4

2

01 2 3 4 5 6

Week


Family Reunion

Stem Leaf

0 51 0 1 2 72 53 24 1 2 55 36 7

Walrus Polar Bear

Seal Penguin

Key: 0 5 = 5

Nu

mb

er o

f Fi

sh

Fish Harvest

0

12

10

8

6

4

2

Small Medium Large

Size of Fish

Time of Day (A.M.)



04CMAKC

36

5.8 Coordinate GraphingTry These1 (2, 1) 2 (3, 3) 3 (1, 1) 4 (1, 3) 5 School 6 Restaurant 7 Post Office 8 Home

Exercises1 K 2 A 3 I 4 D 5 L 6 F 7 C 8 E 9 G 10 (3, 1) 11 (4, 4) 12 (8, 2) 13 (1, 8)

Problem Solving14 a

0 65

6543210

4321

y

x0 65

6543210

4321

y

x7

Input(x)

1 dictionary

2 dictionaries

3 dictionaries

4 dictionaries

Function Rule(x � $4.00) + 0.50

Output(y)

(1 � $4.00) + 0.50 $4.50 total

$8.50 total

$12.50 total

$16.50 total

(2 � $4.00) + 0.50

(3 � $4.00) + 0.50

(4 � $4.00) + 0.50

Input(x)

6

29

43

37

72

Function Rule(x + 4) – 2

Output(y)

(6 + 4) – 2 8

(29 + 4) – 2 31

(43 + 4) – 2 45

(43 + 4) – 2 39

(72 + 4) – 2 74

Input(x)

22

31

44

54

Function Rulex – 11

Output(y)

22 – 11 11

31 – 11 20

44 – 11 33

54 – 11 43

Input(x)

2

4

6

8

10

Function Rulex � 4

Output(y)

2 � 4 8

4 � 4 16

6 � 4 24

8 � 4 32

10 � 4 40

Input(x)

12

24

36

60


Output(y)

12 � 12 1

24 � 12 2

36 � 12 3

60 � 12 5

b

0 65

6543210

4321

y

x0 65

6543210

4321

y

x7

Input(x)

1 dictionary

2 dictionaries

3 dictionaries

4 dictionaries


Output(y)

(1 � $4.00) + 0.50 $4.50 total

$8.50 total

$12.50 total

$16.50 total

(2 � $4.00) + 0.50

(3 � $4.00) + 0.50

(4 � $4.00) + 0.50

Input(x)

6

29

43

37

72


Output(y)

(6 + 4) – 2 8

(29 + 4) – 2 31

(43 + 4) – 2 45

(43 + 4) – 2 39

(72 + 4) – 2 74

Input(x)

22

31

44

54


Output(y)

22 – 11 11

31 – 11 20

44 – 11 33

54 – 11 43

Input(x)

2

4

6

8

10


Output(y)

2 � 4 8

4 � 4 16

6 � 4 24

8 � 4 32

10 � 4 40

Input(x)

12

24

36

60


Output(y)

12 � 12 1

24 � 12 2

36 � 12 3

60 � 12 5

triangle The points form a rectangle.

Mind Builder1 (G, 8) 2 Tarpon Springs 3 St. Petersburg 4 (A, 9) 5 (H, 8)

5.9 Function TablesTry These1 Rule: x × 7 or 7x 2 Rule: x + $3.50 3 Rule: x – 17 4 Rule: x ÷ 2

Exercises1

2

3

4

Problem Solving5

6 $24.50

5.10 Graphing Function TablesTry These1

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30

5.10Try These (continued)

0 65

6543210

4321

y

x0 65

6543210

4321

y

x7

Input(x)

1 dictionary

2 dictionaries

3 dictionaries

4 dictionaries


Output(y)

(1 � $4.00) + 0.50 $4.50 total

$8.50 total

$12.50 total

$16.50 total

(2 � $4.00) + 0.50

(3 � $4.00) + 0.50

(4 � $4.00) + 0.50

Input(x)

6

29

43

37

72


Output(y)

(6 + 4) – 2 8

(29 + 4) – 2 31

(43 + 4) – 2 45

(43 + 4) – 2 39

(72 + 4) – 2 74

Input(x)

22

31

44

54


Output(y)

22 – 11 11

31 – 11 20

44 – 11 33

54 – 11 43

Input(x)

2

4

6

8

10


Output(y)

2 � 4 8

4 � 4 16

6 � 4 24

8 � 4 32

10 � 4 40

Input(x)

12

24

36

60


Output(y)

12 � 12 1

24 � 12 2

36 � 12 3

60 � 12 5

0 65

6543210

4321

y

x0 65

6543210

4321

y

x7

Input(x)

1 dictionary

2 dictionaries

3 dictionaries

4 dictionaries


Output(y)

(1 � $4.00) + 0.50 $4.50 total

$8.50 total

$12.50 total

$16.50 total

(2 � $4.00) + 0.50

(3 � $4.00) + 0.50

(4 � $4.00) + 0.50

Input(x)

6

29

43

37

72


Output(y)

(6 + 4) – 2 8

(29 + 4) – 2 31

(43 + 4) – 2 45

(43 + 4) – 2 39

(72 + 4) – 2 74

Input(x)

22

31

44

54


Output(y)

22 – 11 11

31 – 11 20

44 – 11 33

54 – 11 43

Input(x)

2

4

6

8

10


Output(y)

2 � 4 8

4 � 4 16

6 � 4 24

8 � 4 32

10 � 4 40

Input(x)

12

24

36

60


Output(y)

12 � 12 1

24 � 12 2

36 � 12 3

60 � 12 5

0 65

6543210

4321

y

x0 65

6543210

4321

y

x7

Input(x)

1 dictionary

2 dictionaries

3 dictionaries

4 dictionaries


Output(y)

(1 � $4.00) + 0.50 $4.50 total

$8.50 total

$12.50 total

$16.50 total

(2 � $4.00) + 0.50

(3 � $4.00) + 0.50

(4 � $4.00) + 0.50

Input(x)

6

29

43

37

72


Output(y)

(6 + 4) – 2 8

(29 + 4) – 2 31

(43 + 4) – 2 45

(43 + 4) – 2 39

(72 + 4) – 2 74

Input(x)

22

31

44

54


Output(y)

22 – 11 11

31 – 11 20

44 – 11 33

54 – 11 43

Input(x)

2

4

6

8

10


Output(y)

2 � 4 8

4 � 4 16

6 � 4 24

8 � 4 32

10 � 4 40

Input(x)

12

24

36

60


Output(y)

12 � 12 1

24 � 12 2

36 � 12 3

60 � 12 5

0 65

6543210

4321

y

x0 65

6543210

4321

y

x7

Input(x)

1 dictionary

2 dictionaries

3 dictionaries

4 dictionaries


Output(y)

(1 � $4.00) + 0.50 $4.50 total

$8.50 total

$12.50 total

$16.50 total

(2 � $4.00) + 0.50

(3 � $4.00) + 0.50

(4 � $4.00) + 0.50

Input(x)

6

29

43

37

72


Output(y)

(6 + 4) – 2 8

(29 + 4) – 2 31

(43 + 4) – 2 45

(43 + 4) – 2 39

(72 + 4) – 2 74

Input(x)

22

31

44

54


Output(y)

22 – 11 11

31 – 11 20

44 – 11 33

54 – 11 43

Input(x)

2

4

6

8

10


Output(y)

2 � 4 8

4 � 4 16

6 � 4 24

8 � 4 32

10 � 4 40

Input(x)

12

24

36

60


Output(y)

12 � 12 1

24 � 12 2

36 � 12 3

60 � 12 50 65

6543210

4321

y

x0 65

6543210

4321

y

x7

Input(x)

1 dictionary

2 dictionaries

3 dictionaries

4 dictionaries


Output(y)

(1 � $4.00) + 0.50 $4.50 total

$8.50 total

$12.50 total

$16.50 total

(2 � $4.00) + 0.50

(3 � $4.00) + 0.50

(4 � $4.00) + 0.50

Input(x)

6

29

43

37

72


Output(y)

(6 + 4) – 2 8

(29 + 4) – 2 31

(43 + 4) – 2 45

(43 + 4) – 2 39

(72 + 4) – 2 74

Input(x)

22

31

44

54


Output(y)

22 – 11 11

31 – 11 20

44 – 11 33

54 – 11 43

Input(x)

2

4

6

8

10


Output(y)

2 � 4 8

4 � 4 16

6 � 4 24

8 � 4 32

10 � 4 40

Input(x)

12

24

36

60


Output(y)

12 � 12 1

24 � 12 2

36 � 12 3

60 � 12 5

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30



04CMAKC

37

2

Exercises1

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30

2

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30

Problem Solving

3

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4Pa

y

2

Hours4

$10

$20

$30

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30



04CMAKC

38

4

Chapter 5 ReviewLanguage and Concepts1 difference 2 median 3 most frequent 4 stem-and-leaf plot 5 coordinates 6 relationship

Skills and Problem Solving7–9

10 Deer 11 Wolf, Raccoon 12 Both classes have 26 students. 13 5 14 Summer 15 17 people 16 8 people17

18 4, 5, 6 19 5 20 5821–28

29

30

31

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30

Rule: y = x � 3

Input (x)

0 triangles

1 triangle

2 triangles

3 triangles

x � 3

0 � 3

1 � 3

2 � 3

3 � 3

Output (y)

0 corners

3 corners

6 corners

9 corners

Ordered Pair (x, y)

(0, 0)

(1, 3)

(2, 6)

(3, 9)

Rule: y = x + $4

Input (x)

$1

$2

$3

$4

x + 4

1 + 4

2 + 4

3 + 4

4 + 4

Output (y)

5 total in bank

6 total in bank

7 total in bank

8 total in bank

Ordered Pair (x, y)

(1, 5)

(2, 6)

(3, 7)

(4, 8)

Rule: y = x ÷ 2

Input (x)

2 eyes

4 eyes

6 eyes

8 eyes

x ÷ 2

2 ÷ 2

4 ÷ 2

6 ÷ 2

8 ÷ 2

Output (y)

1 person

2 people

3 people

4 people

Ordered Pair (x, y)

(2, 1)

(4, 2)

(6, 3)

(8, 4)

Rule: y = x � 4

Input (x)

0 wagons

1 wagon

2 wagons

3 wagons

x � 4

0 � 4

1 � 4

2 � 4

3 � 4

Output (y)

0 wheels

4 wheels

8 wheels

12 wheels

Ordered Pair (x, y)

(0, 0)

(1, 4)

(2, 8)

(3, 12)

Rule: x � $5

Input (x)

2 hours

4 hours

6 hours

Output (y)

$10

$20

$30

Rule: y = (x � 2) + 4

Input (x)

1

2

3

4

(x � 2) + 4

(1 � 2) + 4

(2 � 2) + 4

(3 � 2) + 4

(4 � 2) + 4

Output (y)

6

8

10

12

Ordered Pair (x, y)

(1, 6)

(2, 8)

(3, 10)

(4, 12)

Wh

eels

1 2 3Wagons

Inch

es

1 2 3Weeks

4

Co

rner

s

1 2 3Triangles

Tota

l in

Ban

k

1 2 3 Deposits

4

Peo

ple

1 2 3

Eyes

4

Pay

2

Hours4

$10

$20

$30

Range Mean Median Mode

6 5 4 3

8 3 2 2

11 21.4 19 19

Heights of Students in Inches

Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4



04CMAKC

39

Chapter 5 Test1 Elephant; 25 mph 2 45 mph 3 50 mph 4 44 mph 5 45 mph6

7 20 push-ups 8 Scott 9 Scott 10 35 push-ups11 A bar graph compares several items and a line graph shows a change of one item over a period of time.12–15

16

17

18

Change of Pace1 $2,250 2 Rent 3 Other, Medical and Dental, Clothing, Recreation, Food, Rent 4 Responses may vary. 5 $675 6 $27,000

Cumulative Test1 a 2 b 3 a 4 a 5 b 6 c 7 b 8 d 9 a 10 c


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4Range Mean Median Mode

6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


6 5 4 3

8 3 2 2

11 21.4 19 19


Stem Leaf

4 8 9 95 2 2 3 4 5 5 6 7 8 8 8 96 0 1 2

Rule: $12 – x

Input (x)

$1 spent

$3 spent

$5 spent

$9 spent

Output (y)

$11 left

$9 left

$7 left

$3 left

Rule: x ÷ 2

Input (x)

6 socks

10 socks

12 socks

4 socks

Output (y)

3 pairs of socks

5 pairs of socks

6 pairs of socks

4 pairs of socks

Rule: triple

Input (x)

1 set

2 set

3 set

4 set

Output (y)

3 triplets

6 triplets

9 triplets

12 triplets

1 2 3 4

G A

B

C F

H E D

1 2 3 4

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9 10 11 12

Rule: x ÷ 5

Input (x)

25 cents

5 cents

45 cents

10 cents

Output (y)

5 nickels

1 nickel

9 nickels

2 nickels

Rule: x � 4

Input (x)

1 tiger

2 tigers

3 tigers

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: ( x + (x ÷ 5)

Input (x)

10

15

20

4 tigers

Output (y)

4 legs

8 legs

12 legs

16 legs

Rule: x + (x ÷ 5)

Input (x)

10

15

20

x + ( x ÷ 5)

10 + (10 ÷ 5)

15 + (15 ÷ 5)

20 + (20 ÷ 5)

Output (y)

12

18

24

Ordered Pair (x, y)

(10, 12)

(15, 18)

(20, 24)

Speed of Animals

Stem Leaf

2 53 0 24 0 45 0 06 47 0

1 2 3 4

1416

1 2 3 4

M

K

L

J

5 10 15 20 25 30 35 40 45

Key: 4 8 = 48

Key: 2 5 = 25

10

5

5 10 15 20 25 30 35 40 45 50

16151413121110

987654321

1 2 3 4


04CMAKC

40

Answer Keyslessons 41–60 Math Workbook

Practice 50 – Multiplying Greater Numbers1 24,255 2 70,299 3 $9,562 4 27,550 5 $23,448 6 15,392 7 49,533 8 $168,885 9 386,220 10 $12,083 11 53,436 12 10,192 13 157,584 14 $91,988 15 137,609 16 47,880

Practice 51 – Multiplying with Money1 $309.72 2 $64.32 3 $31.85 4 $82.60 5 $4,203.71 6 $240.70 7 $343.84 8 $1,074.96 9 $55.25 10 $120.26 11 $137.00 12 $758.94 13 $1,016.73 14 $1,803.18 15 $3,393.88 16 $138,996 17 $1,197.90 18 $4,802.50 19 $626.81 20 $46.80 21 $219.49 22 $415.36

Mixed Practice1 8 2 9 3 6 4 9 5 5 6 9 7 $86.25 8 $831.42

Enrichment 52 – Multiplication Riddle1 $81.96, L 2 $334.88, A 3 $402.39, B 4 $4,856.46, E 5 $1,588.44, N 6 $499.79, M 7 $1,567.62, O 8 $3,989.49, T 9 $1,003.68, P 10 $521.64, Y 11 $2,153.80, U 12 $1,765.02, I 13 $368.41, S; PLEASE PUT IT ON MY BILL

Practice 53 – Problem-Solving Application: Shopping Cart1 $9.85 2 $177.30 3 $5.99 4 $41.93 5 $2.85 6 $8.55 7 $5.98 8 $113.62 9 $8.97 10 $134.55 11 $3.79 12 $83.38 13 $4.50 14 $108.00 15 $682.33 16 $53.82 17 $86.25 18 $17.27 19 $8.04 20 No 21 $2.99 more

Review 54 – Chapter 4 Review1 1,200 2 2,400 3 100,000 4 18,000 5 63,000 6 64,000 7 8,100 8 35,000 9 160,000 10 300,000 11 2,993 12 $5,070 13 13,272 14 55,428 15 60,375 16 65,075 17 315,068 18 $24,769 19 106,260 20 $1,119.96 21 $695.70 22 63,336 23 $1,001.88 24 28,084 25 143,140 26 1,425 newspapers 27 144 squares 28 $71.94 29 $56.59

Test 55 – Chapter 4 Test Prep1 c 2 b 3 b 4 > 5 d 6 a or b 7 c 8 < 9 a 10 d

Chapter 5

Practice 56 – Collecting, Organizing, and Displaying Data1 1

2

3

4

5

6

H

T

x x x x x x x x x x x x x x x

87 88 89 90 91 92 93 94 95

Zoo Animals Total Number Counted

Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

2

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

3

4

5

6 2 tigers 7 27 penguins 8 bears 9 6 more penguins 10 lions and elephants 11 giraffes; 6 more giraffes

Mixed Practice1 8,187 2 37,913 3 $19.39 4 1, 2, 3, 6, 9, 18 5 1, 2, 3, 4, 6, 8, 12, 24 6 1, 17

Practice 57 – Mean, Median, Mode, and Range1 6; 4.5; 3 and 8; 5 2 7; 9; 9; 8 3 3; 6; 6 and 7; 6 4 7; 8; 8; 7 5 2; 4; 4; 4 6 13; 8.5; 8; 9 7 Mean Daily Temperatures (in degrees Fahrenheit) 8 50˚F 9 Portland, ME 10 Minneapolis 11 Phoenix 12 Memphis 13 1 Minneapolis; 2 Portland, ME; 3 Pittsburgh; 4 Seattle; 5 Memphis; 6 Atlanta; 7 San Francisco; 8 Phoenix; 8 Houston 14 39˚F; 26˚F; 28˚F; 23˚F

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

Math workbook answer key Lessons 41–60


04CMAKC

41

Enrichment 58 – Looking at Data1 286; 230 2 7; 8 3 46; 46 4 45; 44; 43

Practice 59 – Problem-Solving Application: Using Statistics1 8 2 16 3 7 4 6 5 5 6 18 7 22 8 413 9 307 10 34 11 14 12 3,175 13 11 cans 14 93

Practice 60 – Single- and Double-Bar Graphs1 8 balloons 2 2 balloons 3 4 balloons 4 144 balloons 5 12 balloons 6 10 miles 7 2 more balloons 8 4 more balloons 9 74 balloons 10 about 34 balloons 11 baseball 12 basketball and swimming 13 5 more people 14 soccer 15 3 people

Practice 61 – Line Graphs1 20˚ 2 15˚ 3 25˚ 4 15˚ 5 Tuesday 6 Monday and Friday 7 Thursday 8 Saturday 9 Thursday 10 20˚Mixed Practice1 7 2 6.5 3 7 4 2.25 5 3.64 6 5.39 7 38,012 8 7,389 9 2,808

Practice 62 – Stem-and-Leaf Plots1

2 86; 82 3 23 4 11 students 5 50 inches 6 61 inches; 2 students 7 55 inches 8 Add a 2 to the leaves for the 6 stem.

Practice 63 – Problem-Solving Application: Displaying Data1 6 years 2 cat 3 cat, cow, and horse 4 3 years 5 horse 6 Average Lifetimes 7 300 meters 8 Between 0 and 1 minute, and between 1 and 2 minutes 9 There was a 1 minute break.

Mixed Practice1 c 2 c 3 b 4 c

Practice 64 – Coordinate Graphing1 G 2 B 3 I 4 N 5 P 6 R 7 D 8 S 9 Q 10 K 11 E 12 J 13–28 Check student’s drawing. 29 Umbrella

Practice 65 – Function Tables1

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

2

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

3

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

4

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

5

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

6 2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

7

8

9

10

11

12

Practice 66 – Graphing Function Tables1

1

2

3

4

5

6

H

T


87 88 89 90 91 92 93 94 95


Giraffes 12

Lions 6

Monkeys 21

Elephants 6

Tigers 2

Penguins 27

Zebras 13

Bears 7


0 1 2 3 4 5 6

Stem Leaf

7 6 8

8 2 2 2 5 7

9 4 5 9

1 + 3 4

2 + 3 5

3 + 3 6

4 + 3 7

8 - 2 6

7 - 2 5

6 - 2 4

5 - 2 3

0 + 4 4

3 + 4 7

7 + 4 11

12 + 4 16

7 - 7 0

9 - 7 2

13 - 7 6

15 - 7 8

10 ÷ 2 5

8 ÷ 2 4

6 ÷ 2 3

4 ÷ 2 2

Key: 7 6 = 76

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8 2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

Math workbook answer key Lessons 41–60


04CMAKC

42

2

3

4

Review 67 – Chapter 5 Review1 14 students 2 3 students 3 18 students 4 5; 3; 3 5 9; 4; 4 6 4; 3; 3 7 14 8 6 9 400 10 Jamie 11 100 times 12 Jamie 13 5 P.M. and 6 P.M. 14 3 P.M. and 4 P.M. 15 4 millimeters

16

17 11 18 55 19 E 20 B 21 A 22 F 23 C 24 D 25 Check student’s graph.

Stem Leaf

5 4 5 5 7 8

6 0 3 5

Key: 5 4 = 54

12 4

9 3

6 2

3 1

8

1 6

3 5 7

4 9 2

Fraction Decimal World Name

3/10 0.3 three tenths

6/10 0.6 six tenths

5/10 0.5 five tenths

4/100 0.04 four hundredths

2/100 0.02 two hundredths

9/100 0.09 nine hundredths

Fraction Decimal Word Name 2/10 0.2 two tenths 3/100 0.03 three hundredths 5/1,000 0.005 five thousandths 4/100 0.04 four hundredths 42/1,000 0.042 forty-two thousandths

65/1,000 0.065 sixty-five thousandths 2 43/100 2.43 two and forty-three hundredths 13 2/10 13.2 thirteen and two tenths 1 2/100 1.02 one and two hundredths 1 7/1,000 1.007 one and seven thousandths

3 21/100 3.21 three and twenty-one hundredthsTest 68 – Chapter 5 Test Prep1 c 2 c 3 b 4 b 5 d 6 c 7 b 8 b 9 a 10 d

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

2 × 1 2

2 × 2 4

2 × 3 6

2 × 4 8

(4 × 1) + 1 5

(4 × 2) + 1 9

(4 × 3) + 1 13

(4 × 4) + 1 17

(2 × 4) - 8 0

(2 × 5) - 8 2

(2 × 6) - 8 4

(2 × 7) - 8 6

(3 × 1) - 2 1

(3 × 2) - 2 4

(3 × 3) - 2 7

(3 × 4) - 2 10

(10 ÷ 2) + 1 6

(8 ÷ 2) + 1 5

(6 ÷ 2) + 1 4

(4 ÷ 2) + 1 3

(12 ÷ 1) - 1 11

(12 ÷ 2) - 1 5

(12 ÷ 3) - 1 3

(12 ÷ 4) - 1 2

(25 ÷ 5) + 2 7

(20 ÷ 5) + 2 6

(15 ÷ 5) + 2 5

(10 ÷ 5) + 2 4

$12 6 (12, 6)

$10 4 (10, 4)

$8 2 (8, 2)

$6 0 (6, 0)

1 4 (1, 4)

2 8 (2, 8)

3 12 (3,12)

4 16 (4,16)

18 6 (18, 6)

15 5 (15, 5)

12 4 (12, 4)

9 3 (9, 3)

0 2 (0, 2)

2 4 (2, 4)

4 6 (4, 6)

6 8 (6, 8)

0 2 4 6 8 10 12 14 16

1210

8642

0 1 2 3 4

16141210

8642

87654321

0 2 4 6 8 10 12 14 16 18

7654321

0 1 2 3 4 5 6 7 8

Stem Leaf

5 4 5 5 7 8

6 0 3 5

Key: 5 4 = 54

12 4

9 3

6 2

3 1

8

1 6

3 5 7

4 9 2

Fraction Decimal World Name

3/10 0.3 three tenths

6/10 0.6 six tenths

5/10 0.5 five tenths

4/100 0.04 four hundredths

2/100 0.02 two hundredths

9/100 0.09 nine hundredths

Fraction Decimal Word Name 2/10 0.2 two tenths 3/100 0.03 three hundredths 5/1,000 0.005 five thousandths 4/100 0.04 four hundredths 42/1,000 0.042 forty-two thousandths

65/1,000 0.065 sixty-five thousandths 2 43/100 2.43 two and forty-three hundredths 13 2/10 13.2 thirteen and two tenths 1 2/100 1.02 one and two hundredths 1 7/1,000 1.007 one and seven thousandths

3 21/100 3.21 three and twenty-one hundredths


04CMAKC

43

Answer Keyslessons 41–60 Math Manual

Lesson 42Warm-upProblem 1 is correct. Problem 2 has a mistake in multiplying the tens. The correct answer is 12,996. Problem 3 has a mistake in adding the partial products. The correct answer is 218,988.

EnrichmentThere are 7 boys. Sample constructed response: I solved this problem by making the following table.

Boys 1 5 6 7

Girls 3 15 18 21

Total 4 20 24 28

Then I used guess and check. I started with a guess of 1 boy. Since there are three times as many girls, I put a 3 in my table under the 1 for the boy. This gave me a total of 4 students. This is much fewer than 28 students. I made my next guess, 5 boys. You can see in the table that this was still not enough. Next I tried 6 and then 7, which worked. There are 7 boys in the club.

Lesson 43Skill Development1 $3.54 2 $89.56 3 $91.21 4 $10.45

Lesson 44Warm-up 1

Connor’s

1st Week: $615 + $483

$1,098

2nd Week: $69 x 7 $ 483

Lydia’s

1st day: $200 + $897

$1,097

Day 2–14: $69 x 13 $ 897

1. $ 0.53 x 21 53 1060 $11.13

2. $ 5.46 x 32 1092 16380 $174.72

3. $17.99 x 46 10794 71960 $827.54

4. $ 7.69 x 18 6152 7690 $138.42

3 3 34 5 5

1 1 1

5 7

Lesson 44

2

Connor’s

1st Week: $615 + $483

$1,098

2nd Week: $69 x 7 $ 483

Lydia’s

1st day: $200 + $897

$1,097

Day 2–14: $69 x 13 $ 897

1. $ 0.53 x 21 53 1060 $11.13

2. $ 5.46 x 32 1092 16380 $174.72

3. $17.99 x 46 10794 71960 $827.54

4. $ 7.69 x 18 6152 7690 $138.42

3 3 34 5 5

1 1 1

5 7

Lesson 44

3

Connor’s

1st Week: $615 + $483

$1,098

2nd Week: $69 x 7 $ 483

Lydia’s

1st day: $200 + $897

$1,097

Day 2–14: $69 x 13 $ 897

1. $ 0.53 x 21 53 1060 $11.13

2. $ 5.46 x 32 1092 16380 $174.72

3. $17.99 x 46 10794 71960 $827.54

4. $ 7.69 x 18 6152 7690 $138.42

3 3 34 5 5

1 1 1

5 7

Lesson 44

4

Connor’s

1st Week: $615 + $483

$1,098

2nd Week: $69 x 7 $ 483

Lydia’s

1st day: $200 + $897

$1,097

Day 2–14: $69 x 13 $ 897

1. $ 0.53 x 21 53 1060 $11.13

2. $ 5.46 x 32 1092 16380 $174.72

3. $17.99 x 46 10794 71960 $827.54

4. $ 7.69 x 18 6152 7690 $138.42

3 3 34 5 5

1 1 1

5 7

Lesson 44

Lesson 45Warm-up1 J 2 G 3 A 4 F 5 I 6 B 7 C 8 H 9 D 10 E

EnrichmentTotals: $74.75; $119.70; $59.88; $71.88 Subtotal: $326.21 Total with postage: $334.20

Lesson 46Warm-upPossible answer: I think Benjamin’s dad should buy his labels at the discount store. If he buys them online, he will need to purchase 4 boxes to get the 100 labels he needs. This will cost him $39.96. By getting them at the discount store he would save $1.21 and he could get them right away.

Lesson 49Warm-upmedian: 4; mode: 4; range: 5; mean: 4

FiFth review Lesson1 true 2 false; When symbolizing money, you use the dollar sign or the cent sign, but not both together. 3 true 4 true 5 false; There are times when the numbers must be regrouped when doing lattice multiplication. 6 false; Data is a collection of information. It does not have to be numerical. 7 true 8 false; Tallies are shown in groups of five. There are four vertical marks crossed over by a diagonal mark to signify five. 9 False; A number line can be started at any value. 10 true 11 false; Mean and average are the same. The median is the middle number in a set of data. 12 true 13 true 14 false; The range is found by subtracting the lowest data value from the highest data value. 15 true 16 true

Lesson 50Warm-upB = 7; A = 17; C = 8; I = 14; T = 28; S = 2; STATISTICS

Enrichment9 boxes; 6 boxes

Math ManuaL answer key Lessons 41–60


04CMAKC

44

Lesson 51Warm-up94

Lesson 52Warm-up1 26˚ 2 25˚ 3 30˚ 4 25˚Enrichmentany two numbers that add up to 5; for example: 2 and 3; 4 and 1; or 0 and 5

Lesson 53Warm-up

0

1

2

3

4

5

6

7

Math Reading

Subjects

Nu

mb

er o

f St

ud

ents

Favorite Subjects

Boys

Girls

Enrichment1 3 2 Math 3 3 4 Reading and Geography

Lesson 54Warm-up

Brandon’s Scores

stem leaf

3 8 4 1 5 5 7 5 1 4 9 6 2 3 7 5 7 9 8 4 6 6 9 2 3 9

key 3 | 8 = 38

Lesson 55Warm-up1 62 2 12 3 45

Lesson 56Warm-up

0

Enrichment5 × m = 15 and 5m = 15; (a)(b) = 22 and ab = 22; 7 × m – 3 = 1 and 7m – 3 = 1; 3 × a = b and 3a = b

Lesson 57Warm-upy = x – 9

Enrichmenty = 3x + 5

Lesson 58Warm-up1 2x – 2 2

Enrichmenty = x – 5y = x + 10

y = x – 9

x y

15 613 411 2 9 0

y = 3x + 5

x y

0 5 1 8 2 11 3 14

2x – 2

x y

1 0 2 2 3 4 4 6

Lesson 58

0

x 2x –2 y Ordered Pair

1

2

3

4

2x – 2

2 – 2 0 (1, 0)

4 – 2 2 (2, 2)

6 – 2 4 (3, 4)

8 – 2 6 (4, 6)

Lesson 59

y = x – 9

x y

15 613 411 2 9 0

y = 3x + 5

x y

0 5 1 8 2 11 3 14

2x – 2

x y

1 0 2 2 3 4 4 6

Lesson 58

0


1

2

3

4

2x – 2

2 – 2 0 (1, 0)

4 – 2 2 (2, 2)

6 – 2 4 (3, 4)

8 – 2 6 (4, 6)

Lesson 59

y = x – 9

x y

15 613 411 2 9 0

y = 3x + 5

x y

0 5 1 8 2 11 3 14

2x – 2

x y

1 0 2 2 3 4 4 6

Lesson 58

0


1

2

3

4

2x – 2

2 – 2 0 (1, 0)

4 – 2 2 (2, 2)

6 – 2 4 (3, 4)

8 – 2 6 (4, 6)

Lesson 59

Math ManuaL answer key Lessons 41–60


04CMAKC

45

Lesson 59Warm-up

y = x – 9

x y

15 613 411 2 9 0

y = 3x + 5

x y

0 5 1 8 2 11 3 14

2x – 2

x y

1 0 2 2 3 4 4 6

Lesson 58

0


1

2

3

4

2x – 2

2 – 2 0 (1, 0)

4 – 2 2 (2, 2)

6 – 2 4 (3, 4)

8 – 2 6 (4, 6)

Lesson 59

y = x – 9

x y

15 613 411 2 9 0

y = 3x + 5

x y

0 5 1 8 2 11 3 14

2x – 2

x y

1 0 2 2 3 4 4 6

Lesson 58

0


1

2

3

4

2x – 2

2 – 2 0 (1, 0)

4 – 2 2 (2, 2)

6 – 2 4 (3, 4)

8 – 2 6 (4, 6)

Lesson 59

Enrichmenty = 4x – 2

answer keys - amazon s3answer keys lessons 41–60 math textbook 4.5 multiplying greater numbers try...

Documents