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
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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
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Seal
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Fish Harvest
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ber o
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ValleyRidge
Eagle’s View
Castle Falls
Winding Willows
Clayton’s Cliff
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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
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Penguin
Fish Harvest
Size Number of Fish Caught
S 12
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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
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Title: _____________________N
um
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of
Inch
es
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01 2 3 4 5 6
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6-Week SnowfallAges of People at the
Family Reunion
Stem Leaf
0 51 0 1 2 72 53 24 1 2 55 36 7
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Key: 0 5 = 5
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Math textbook answer key Lessons 41–60
C A lv e r T e d u C AT i o n
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
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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
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ote
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Favorite Cold-Climate Animals
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
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Title: _____________________
Nu
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16
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01 2 3 4 5 6
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6-Week SnowfallAges of People at the
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Seal Penguin
Key: 0 5 = 5
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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
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Boxes of Cookies Sold
1 2 3 4 5 6
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x
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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
Favorite Cold-Climate Animals
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˚
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per
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re (
˚C)
Morning Temperature
Title: _____________________
Nu
mb
er o
f In
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18
16
14
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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
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Small Medium Large
Size of Fish
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50 5951 52 53 54 55 56 57 58
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x x x
Boxes of Cookies Sold
1 2 3 4 5 6
x
x
x xx
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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
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Favorite Cold-Climate Animals
0
12
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8
6
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Num
ber o
f Hik
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Summer
Winter
ValleyRidge
Eagle’s View
Castle Falls
Winding Willows
Clayton’s Cliff
4240383634323028262422201816141210
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Morning Temperature
Title: _____________________
Nu
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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
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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
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mb
er o
f V
ote
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Favorite Cold-Climate Animals
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˚
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10˚
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per
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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
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10
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6
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Small Medium Large
Size of Fish
Time of Day (A.M.)
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xx
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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
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Favorite Cold-Climate Animals
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
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86420
16˚
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Morning Temperature
Title: _____________________
Nu
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16
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10
8
6
4
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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
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6
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Small Medium Large
Size of Fish
Time of Day (A.M.)
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Boxes of Cookies Sold
1 2 3 4 5 6
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x
x xx
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xx
xx
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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 XC
at
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
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f V
ote
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Favorite Cold-Climate Animals
0
12
10
8
6
4
2Nu
mbe
r of H
iker
s
Number of Hikers Per Trail
Trails
Summer
Winter
ValleyRidge
Eagle’s View
Castle Falls
Winding Willows
Clayton’s Cliff
4240383634323028262422201816141210
86420
16˚
14˚
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Tem
per
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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
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xxxx
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xxx x
x
x
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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
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
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
Favorite Cold-Climate Animals
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
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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
Favorite Cold-Climate Animals
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.)
Math textbook answer key Lessons 41–60
C A lv e r T e d u C AT i o n
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
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 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
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
Favorite Cold-Climate Animals
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
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
Favorite Cold-Climate Animals
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
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
Favorite Cold-Climate Animals
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
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
Favorite Cold-Climate Animals
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.)
Math textbook answer key Lessons 41–60
C A lv e r T e d u C AT i o n
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
Function Rulex � 12
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
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
Function Rulex � 12
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
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
Function Rulex � 12
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
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
Function Rulex � 12
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
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
Function Rulex � 12
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
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
Function Rulex � 12
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
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
Function Rulex � 12
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
Math textbook answer key Lessons 41–60
C A lv e r T e d u C AT i o n
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
Math textbook answer key Lessons 41–60
C A lv e r T e d u C AT i o n
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
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
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
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
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
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
Math textbook answer key Lessons 41–60
C A lv e r T e d u C AT i o n
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
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
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
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 4Range 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
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
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
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
C A lv e r T e d u C AT i o n
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
x x x x x x x x x x x x x x x
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
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
x x x x x x x x x x x x x x x
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
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
x x x x x x x x x x x x x x x
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
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
x x x x x x x x x x x x x x x
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
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
x x x x x x x x x x x x x x x
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
C A lv e r T e d u C AT i o n
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
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
x x x x x x x x x x x x x x x
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
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
x x x x x x x x x x x x x x x
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
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
x x x x x x x x x x x x x x x
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
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
x x x x x x x x x x x x x x x
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
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
x x x x x x x x x x x x x x x
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
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
x x x x x x x x x x x x x x x
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
C A lv e r T e d u C AT i o n
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
C A lv e r T e d u C AT i o n
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
C A lv e r T e d u C AT i o n
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
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
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
Math ManuaL answer key Lessons 41–60
C A lv e r T e d u C AT i o n
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
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
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
Enrichmenty = 4x – 2