1 )....11 luke is 4 years younger then zoe. mischa is half luke’s age. let z be zoe’s age. a....

22
© Houghton Mifflin Harcourt Publishing Company Name Date Homework 7-1 1 Consider the expression 2 1 __ 2 - ( 3 __ 4 + 5 __ 8 ). a. Which operation is done first, subtraction or addition? b. Write the computation in words. 2 Consider the expression 4.5 + 6 × 0.1. a. Which operation is done first, addition or multiplication? b. Write the computation in words. Write the computation in words. 3 7 ÷ 1 __ 7 4 8 - t 5 3.6 ÷ 0.4 - 0.5 6 5 (6 + 7) Write an expression for the words. 7 Add 1 __ 6 and 4 __ 9 . 8 Subtract the product of 5 and 11 from 100. 9 Divide 9 by 2 and then add 5.7. 10 Multiply 42 by the sum of 4 and r. addition Possible answer: Subtract the sum of 3 __ 4 and 5 __ 8 from 2 1 __ 2 . multiplication Possible answer: Add 4.5 to the product of 6 and 0.1. Divide 7 by 1 __ 7 . Answers may vary. Subtract t from 8. Divide 3.6 by 0.4 and then subtract 0.5. Multiply the sum of 6 and 7 by 5. 1 __ 6 + 4 __ 9 100 - 5 11 9 ÷ 2 + 5.7 42 (4 + r) UNIT 7 LESSON 1 Read and Write Expressions 151

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Page 1: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

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Homework7-1

1 Consider the expression 2 1 __ 2 - ( 3 __

4 + 5 __

8 ).

a. Which operation is done first, subtraction or addition?

b. Write the computation in words.

2 Consider the expression 4.5 + 6 × 0.1.

a. Which operation is done first, addition or multiplication?

b. Write the computation in words.

Write the computation in words.

3 7 ÷ 1 __ 7

4 8 - t

5 3.6 ÷ 0.4 - 0.5

6 5 ⋅ (6 + 7)

Write an expression for the words.

7 Add 1 __ 6 and 4 __

9 .

8 Subtract the product of 5 and 11 from 100.

9 Divide 9 by 2 and then add 5.7.

10 Multiply 42 by the sum of 4 and r.

addition

Possible answer: Subtract the sum of 3 __ 4 and 5 __

8 from 2 1 __

2 .

multiplication

Possible answer: Add 4.5 to the product of 6 and 0.1.

Divide 7 by 1 __ 7 .

Answers may vary.

Subtract t from 8.

Divide 3.6 by 0.4 and then subtract 0.5.

Multiply the sum of 6 and 7 by 5.

1 __ 6 + 4 __

9

100 - 5 ⋅ 11

9 ÷ 2 + 5.7

42 ⋅ (4 + r)

UNIT 7 LESSON 1 Read and Write Expressions 151

Page 2: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

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Complete each division. Check your answer.

Divide.

Write an equation to solve the problem. Draw a model if you need to.

10 Jesse drives 6 3 __ 8 miles in a golf cart during a round of

golf. Payton drives 7 3 __ 4 miles. How much farther

does Payton drive?

11 Stretch Your Thinking Write the computation in words for an expression that uses all four operations (addition, subtraction, multiplication, and division). Then, write an expression for the words.

1 3 ⟌ _

1,957 2 9 ⟌ _

3,103 3 7 ⟌ _

5,768

4 69 ⟌ _

4,899

7 25 ⟌ _

1,175

5 87 ⟌ _

2,001

8 38⟌ _

2,660

6 52 ⟌ _

3,432

9 46 ⟌ _

2,438

652 R1 344 R7 824

66

53 7047

2371

Equations may vary.

1 3 __ 8 miles; 7 3 __

4 - 6 3 __

8 = n

Possible answer: Subtract 1 from 6. Then

multiply by the sum of 3 and 22. Then divide

the product by 3. (6 - 1) ⋅ (3 + 22) ÷ 3

152 UNIT 7 LESSON 1 Read and Write Expressions

Page 3: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

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Homework7-2

1 Follow the Order of Operations to simplify 27 ÷ (3 ⋅ 3) + 17

Step 1 Perform operations inside

parentheses.

Step 2 Multiply and divide from left to right.

Step 3 Add and subtract from left to right.

Simplify. Follow the Order of Operations.

2 54 - 200 ÷ 4 3 0.8 ÷ (0.07 - 0.06) 4 3 ⋅ 8 - 6 ÷ 2

5 ( 3 __ 8 + 1 __

4 ) ⋅ 16 6 64 + 46 - 21 + 29 7 72 ÷ (7 - 1) ⋅ 3

8 0.8 - 0.5 ÷ 5 + 0.2 9 5 __ 6 - 4 ⋅ 1 ___

12 10 5 ⋅ 15 ÷ 3

11 32 ÷ (2.3 + 1.7) ⋅ 3 12 (1 1 __ 2 - 3 __

4 ) × 1 __

4 13 (6.3 - 5.1) ⋅ (0.7 + 0.3)

14 12 ÷ 0.1 + 12 ÷ 0.01 15 1 __ 2 ⋅ 1 __

2 ÷ 1 __

2 16 10 - 4 + 2 - 1

27 ÷ 9 + 17

3 + 17

20

4

10

0.9

24

1,320

80

118

1 __ 2

3 ___ 16

1.2

1 __ 2

21

36

25

7

UNIT 7 LESSON 2 Simplify Expressions 153

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RememberingName Date7-2

Solve.

Write an equation to solve the problem. Draw a model if you need to.

4 The students of Turner Middle School are going on a field trip. There are 540 students attending. A bus can hold 45 students. How many buses are needed for the field trip?

5 The area of a rectangular court is 433.37 square meters, and the length of the court is 28.7 meters. What is width of the court?

Write the computation in words.

6 5 ÷ 1 __ 8

7 2.4 ÷ 0.6 + 0.2

8 Stretch Your Thinking Write step-by-step instructions for simplifying the following expression. 10 ⋅ [60 ÷ (11 + 4)] - 3

2 5 ⟌ _

44.3 3 2 ⟌ _

125.65 3 5 ⟌ _

34.565 8.86 62.825 6.913

Equations and models may vary.

Answers may vary.

Divide 5 by 1 __ 8 .

Divide 2.4 by 0.6 and then add 0.2.

12 buses; n = 540 ÷ 45

15.1 meters; n ⋅ 28.7 = 433.37

10 ⋅ [60 ÷ 15] - 3 = Add 11 and 4.

10 ⋅ 4 - 3 = Divide 60 by 15.

40 - 3 = Multiply 10 by 4.

37 = Subtract 3 from 40.

154 UNIT 7 LESSON 2 Simplify Expressions

Page 5: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

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Homework7-3

Evaluate the expression.

1 m ÷ 0.3 for m = 1.8 2 3 1 __ 3 - x for x = 5 __

6 3 50 - n ÷ 2 for n = 30

4 x ⋅ 1 1 __ 2 for x = 10 5 10 ⋅ (20 + d) for d = 30 6 120 ÷ (x ⋅ 6) for x = 2

7 a ⋅ 1 __ 3 + 3 ÷ 1 __

3 for a = 3 8 (0.15 - t) ⋅ 100 for t = 0.02 9 h ÷ 0.07 for h = 4.9

10 Max bought a pair of jeans for $32 and three T-shirts for t dollars each.

a. Write an expression for the total amount Max spent.

b. If each T-shirt cost $9, how much did Max spend?

11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age.

a. Write an expression for Luke’s age.

b. Write an expression for Mischa’s age.

c. If Zoe is 16 years old, how old are Luke and Mischa?

6

15

10

2 1 __ 2

500

13

35

10

70

32 + 3t dollars

$59

z - 4

1 __ 2 ⋅ (z - 4) or (z - 4) ÷ 2

Luke: 12 years old; Mischa: 6 years old

UNIT 7 LESSON 3 Expressions, Equations, and Inequalities 155

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Solve.

Write a word problem for the equation. Draw a model to show the product.

7 1 __ 2 ⋅ 4 __

5 = x

Simplify. Follow the Order of Operations.

8 3 __ 5 - 2 ⋅ 1 ___

10 9 40 ÷ (6 - 1) ⋅ 3 10 ( 1 __

2 +

3 __ 8 ) ⋅ 24

11 0.4 ÷ (0.09 - 0.07) 12 66 - 150 ÷ 10 13 6 ⋅ 5 - 9 ÷ 3

14 Stretch Your Thinking Write a two-operation expression that equals 31 when evaluated for x = 5.

1 0.8 ⟌ _

64 2 0.008 ⟌ _

72 3 0.04 ⟌ _

16

4 0.5 ⟌ _

80 5 0.48 ⟌ _

1,536 6 0.76 ⟌ _

1,596

Sample context and model is shown.

2 __ 5 24

20 51 27

21

Possible answer: 465 ÷ (x ⋅ 3)

Four-fifths of Bailey’s class want to play an

instrument in the band. Of those classmates, 1 __ 2 want to play a percussion instrument.

What fraction of the students in the class

want to play a percussion instrument?

80 9,000

3,200 2,100

400

160

156 UNIT 7 LESSON 3 Expressions, Equations, and Inequalities

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Homework7-4

1 a. Write the first five terms of a numerical pattern that begins with 2 and then adds 3.

b. Write an expression for the sixth term of the pattern.

c. Write the sixth term.

2 a. Write the first five terms of a pattern that begins with 5, and then adds 5.

b. Write the first five terms of a pattern that begins with 20, and then adds 20.

c. Circle the corresponding pairs of terms in the patterns. How does the top term compare to the bottom term?

d. How does the bottom term compare to the top term?

Complete the table and use it for Problems 3 and 4.

Cost of Music Downloads

Number of Songs 1 2 3 4 5

Cost in Dollars $0.99 $1.98

3 Describe a relationship shared by the corresponding terms.

4 What would be the cost of downloading 6 songs?

2, 5, 8, 11, 14

2 + 3 + 3 + 3 + 3 + 3 or 2 + (5 ⋅ 3)

17

$3.96

The top term is the bottom term divided by 4.

The bottom term is the top term times 4.

Sample answer: The cost in dollars is the number

of songs multiplied by ninety-nine cents.

$5.94

5

20

10

40

15

60

20

80 100

25

$2.97 $4.95

UNIT 7 LESSON 4 Patterns and Relationships 157

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Solve.

1 Manny has 40 ounces of butter that he is cutting into 1.25-ounce slices. How many slices will he have?

2 Tracy is running in a 5.25-kilometer race on Saturday. A marathon is approximately 42 kilometers. How many times as long as Tracy’s race is a marathon?

Write an equation to solve the problem. Use mental math or estimation to show that your answer is reasonable.

3 Each Saturday morning, Janie works 5 hours and earns $35.75. How much does Janie earn for each hour she works?

Equation:

Estimate:

Evaluate the expression.

4 120 ÷ (t ⋅ 3) for t = 4 5 m ⋅ 2 2 __ 3 for m = 5 6 4 ⋅ (2 + c) for c = 8

7 7 1 __ 2 - p for p = 5 __

6 8 60 - z ÷ 2 for z = 20 9 x ÷ 0.9 for x = 3.6

10 Stretch Your Thinking Create your own numerical pattern. Write the starting number, the rule, and the first 5 terms in the pattern. Then write an expression for the tenth term.

Show your work.

32 slices of butter

8 times

Possible answer: 2; add 7; 2, 9, 16, 23, 30; 2 + (7 ⋅ 9)

10

$7.15; 35.75 ÷ 5 = n

Janie earns about $7 per hour

because 5 × 7 = 35.

6 2 __ 3

13 1 __ 3

50

40

4

Equations and estimates may vary.

158 UNIT 7 LESSON 4 Patterns and Relationships

Page 9: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

1 2 3 4 5 6 7 8 9 100

y10

987654321

P

QR

S

x

W

Y

Z

X

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Homework7-5

Write an ordered pair to represent the location of each point.

1 point P 2 point Q 3 point R 4 point S

Plot and label a point at each location.

5 point W at (3, 9) 6 point X at (3, 5) 7 point Y at (9, 5)

Solve.

8 Suppose points W, X, and Y represent three vertices of rectangle WXYZ. Where should point Z be plotted?

Plot and label point Z. Then use a ruler to draw the rectangle.

9 What ordered pair represents the point at the center of the rectangle?

10 Use subtraction to find the lengths of segments WX and XY. Show your work.

Use the coordinate plane below to answer the questions.

(9, 9)

(2, 3) (1, 0) (7, 2) (0, 4)

(6, 7)

segment WX: 9 − 5 = 4; segment XY: 9 - 3 = 6

UNIT 7 LESSON 5 The Coordinate Plane 159

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0

y

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 9 10 x

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Divide.

7 a. Write the first five terms of a numerical pattern that begins with 5 and then adds 6.

b. Write an expression for the sixth term of the pattern.

c. Write the sixth term.

8 Stretch Your Thinking List and graph four ordered pairs that are vertices of a rectangle with a perimeter of 16 units.

1 0.9 ⟌ _

54

4 0.06 ⟌ _

48

2 0.09 ⟌ _

27

5 0.4 ⟌ _

188.4

3 1.2 ⟌ _

0.6

6 0.08 ⟌ _

56

5, 11, 17, 23, 29

5 + 6 + 6 + 6 + 6 + 6 or 5 + (5 ⋅ 6)

35

Possible answer: (4, 1), (4, 4), (9, 1), (9, 4)

60 300

800 471 700

0.5

160 UNIT 7 LESSON 5 The Coordinate Plane

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Homework7-6

0

y

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 9 10 x

Time (hr)

Dis

tan

ce (

mi)

0

y

100

90

80

70

60

50

40

30

20

10

1 2 3 4 5 x

The add 3 table below shows a numerical pattern in the left column and the result of adding 3 in the right column.

add 3 (x, y)

0 3 ( , )

1 ( , )

2 ( , )

3 ( , )

4 ( , )

1 Complete the add 3 table.

2 Complete the (x, y) table.

3 Each (x, y) pair of terms represents a point. Graph and connect the points.

A freight train is traveling at a constant speed of 20 miles per hour.

4 Complete the table to show the distance the train will travel in 0, 1, 2, and 3 hours.

Time (hr) 0 1 2 3

Distance (mi) 20

5 Write the ordered (x, y) pairs the data represent. Then graph and connect the points and extend the line.

( , ) ( , ) ( , ) ( , )

6 How far would you expect the train to travel in 2 1 __

2 hours? Explain your answer.

0

1

2

3

4

3

4

5

6

7

4

5

6

7

0

0 0 1 20 2 40 3 60

40 60

50 miles; Sample explanation: The graph

passes through the point at (2 1 __ 2 , 50).

UNIT 7 LESSON 6 Graph Ordered Pairs 161

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0

y

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 9 10 x

A

B

D

C

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Multiply.

1 76 × 4

_

2 199 × 6

__

3 7,907 × 2

__

4 98 × 78

__

Use the coordinate plane below to answer the questions.

Write an ordered pair to represent the location of each point.

5 point A

6 point B

7 point C

8 point D

9 Stretch Your Thinking Give the ordered pair for a point E so that when the points B, D, E, and C are connected (in that order), a square is formed. Then, find the area of square BDEC.

(9, 1); 17 square units

304 1,194

(0, 7) (4, 4) (5, 0) (8, 5)

15,814 7,644

162 UNIT 7 LESSON 6 Graph Ordered Pairs

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0

y

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 9 10 x

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Homework7-7

1 On the coordinate plane below, plot and label points to design your own constellation. When you return to class, share your constellation with your class.

2 Write the name of your constellation.

3 Write the order in which your points are to be connected.

4 Explain how you can tell that two points will be on the same horizontal line just by looking at their coordinates.

5 Explain how you can tell that two points will be on the same vertical line just by looking at their coordinates.

Constellations and answers will vary.

The points will have the same y-coordinate.

The points will have the same x-coordinate.

UNIT 7 LESSON 7 Focus on Problem Solving 163

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0

80

72

64

56

48

40

32

24

16

8

1 2 3 4 5 xTime (hr)

Earn

ing

s ($

)

y

0

y

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 9 10 x

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Write and solve an equation to solve the problem.

1 A group of 25 classmates visits an amusement park. When they arrive, 3 __

5 of the students want to ride the fastest

roller coaster first. How many students is this?

Nicole makes $8 per hour working at a daycare center.

2 Complete the table.

Time (hr) 0 1 2 3

Earnings ($) 8

3 Write the ordered (x, y) pairs the data represent. Then graph and connect the points and extend the line.

, , ,

4 How much money would Nicole make in 2 1 __

2 hours? Explain your answer.

5 Stretch Your Thinking Which points listed lie on the line? Which points do not lie on the line? Explain. (0, 5) (1, 5) (2, 4), (3, 6), (4, 3)

On the line: (0, 5) (2, 4), (4, 3);

Not on the line: (1, 5), (3, 6).

Possible answer: Plot each point

on the coordinate plane to see

if the point lies on the line.

f = 3 __ 5 ⋅ 25; 15 students

$20.00; Sample explanation: The graph

passes through the point at ( 2 1 __ 2 , 20 ) .

(0, 0)

0 16 24

(1, 8) (2, 16) (3, 24)

164 UNIT 7 LESSON 7 Focus on Problem Solving

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°F

0

10

20

–20

–10

3

4

1

6

2

5

°C

0

10

20

–20

–10

10

8

7

9

11

12

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Homework7-8

Each arrow on the Fahrenheit thermometer points to a temperature. Write the temperature.

1 2

3 4

5 6

Each arrow on the Celsius thermometer points to a temperature. Write the opposite temperature.

7 8

9 10

11 12

Write the opposite of each number.

13 –4 14 3 15 12 16 –17

17 39 18 –41 19 0 20 –22

21 Write a 3-digit integer and its opposite.

22 A hydrogen atom is made up of one proton with a charge of +1 and one electron with a charge of –1. How are the charges of the protons and electrons related to each other? Explain.

18˚F or 18˚F above zero

–16˚C or 16˚C below zero

4˚F or 4˚F above zero

0˚C

4

–39

–3

41

–12 17

0 22

–16˚F or 16˚F below zero

12˚C or 12˚C above zero

0˚F

18˚C or 18˚C above zero

12˚F or 12˚F above zero

–2˚C or 2˚C below zero

–10˚F or 10˚F below zero

–8˚C or 8˚C below zero

The charges of protons and electrons are opposite charges

because –1 is the opposite of +1.

Answers will vary. Possible answer: –123, 123

UNIT 7 LESSON 8 Negative Numbers 165

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Remembering

Compare.

1 1 __ 3 ● 1 __

4 2 3 __

7 ● 9 ___

21 3 1 ___

16 ● 1 ___

15

4 7 __ 9 ● 21 ___

27 5 4 __

5 ● 9 ___

10 6 2 __

3 ● 3 __

5

7 11 ___ 12

● 10 ___ 14

8 3 ___ 16

● 13 ___ 64

9 7 __ 8 ● 56 ___

64

10 7 ___ 22

● 28 ___ 88

11 5 __ 9 ● 43 ___

81 12 1 __

6 ● 3 ___

24

13 During her first basketball practice, Susan made 6 of the 10 free throws she tried. During her second practice, she made 12 of the 16 free throws she tried. During which practice did she make the greater fraction of the free throws she tried?

14 Devon bought 3 __ 4 yard of red ribbon and 11 ___

16 yard of blue ribbon. Which ribbon

did he buy more of?

15 Of the first 10 songs on Gene’s playlist, 3 are country songs. Of the first 20 songs on Tracy’s playlist, 7 are country songs. Who has a greater fraction of country music at the start of their playlist?

16 Stretch Your Thinking One point on a map is located at 300 feet below sea level. How high is a point on top of a hill that has the opposite elevation?

7-8 Name Date

>

=

=

=> <

<

<

> >

>

=

second practice

red ribbon

Tracy

300 feet above sea level

166 UNIT 7 LESSON 8 Negative Numbers

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00.0

0.5

1.5

1.0

2.0

2.5

10 20 30 40 50 60

Dis

tan

ce f

rom

Ho

me

(mi)

Mr. Chang’s Errands

Time (min)

6

8

10

4

2

0Week 1 Week 2 Week 3 Week 4

Num

ber

Sold

Alyssa’s Auto SalesTrucks

Cars

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Homework7-9

The table shows how far Mr. Chang was from his home as he did his errands. Use the table for 1–3.

1 Make a line graph that shows the data. Include a title and a vertical axis label.

2 Mr. Chang spent 15 minutes at the grocery store. How far is the grocery store from Mr. Chang’s home?

3 Mr. Chang’s farthest stop from home was at the Post Office. When was Mr. Chang at the Post Office?

The double bar graph shows the number of cars and trucks Alyssa sold over four weeks. Use the double bar graph for 4 and 5.

4 In which week did she sell the most trucks?

5 In which week did Alyssa sell eight vehicles altogether?

Mr. Chang’s ErrandsTime (min) Distance from

Home (mi)

0 0

10 0.5

20 0.5

25 1.25

40 1.25

45 2.25

50 2.25

60 0

1.25 miles

Between 45 and 50 minutes into his trip.

Week 2

Week 3

UNIT 7 LESSON 9 Double Bar Graphs and Line Graphs 167

Page 18: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

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The table shows how many pizzas each delivery driver delivered each week. Each driver works 48 weeks in a year. Use the table for 1–3.

1 How many pizzas does Bonnie deliver in a year?

2 How many pizzas does Agatha deliver in a year?

3 If you know how many pizzas Bonnie delivers in a year, how can you find the number James delivers in a year without multiplying? Explain, and then solve.

Multiply.

4 33 ∙ 92 = 5 24 ∙ 36 = 6 85 ∙ 65 =

7 34 ∙ 99 = 8 19 ∙ 23 = 9 91 ∙ 69 =

10 52 ∙ 61 = 11 84 ∙ 65 = 12 39 ∙ 66 =

13 Stretch Your Thinking Which graph, a double bar graph or a line graph, would you choose to compare how much time five students spend watching TV and doing homework. Explain.

7-9

Weekly Pizza Deliveries

James 91

Bonnie 90

Agatha 87

Possible answer: A double bar graph, because it would show whether

each student spent more time watching TV or doing homework. It

would also allow you to compare how much time each student spent

on each activity.

Possible answer: Since James delivers one more per week than Bonnie,

you could add 48 to Bonnie’s total; 4,320 + 48 = 4,368 pizzas.

4,320 pizzas

4,176 pizzas

3,036 864 5,525

3,366 437 6,279

3,172 5,460 2,574

168 UNIT 7 LESSON 9 Double Bar Graphs and Line Graphs

Page 19: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

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Homework7-10

1 Consider the question, “What is the favorite sport among all of the students in your class?” Write a possible hypothesis relating to this question.

2 How could you test your hypothesis?

3 How could you collect the data to test your hypothesis?

4 What kind of graph will be best to display your data?

5 How will you know if the data support your hypothesis?

Answers will vary. Possible answer: The favorite sport of the

students in my class is football.

Answers will vary. Possible answer: The hypothesis can be tested

by asking each student in the class what their favorite sport is and

then organizing and displaying the results in a table.

Answers will vary. Possible answer: Make a form on a sheet of paper

and ask each student in the class to fill in the form.

Answers will vary. Possible answer: Use a bar graph to show the

number of students who chose each sport. The tallest bar on the

bar graph shows which sport is the most popular.

Answers will vary. Possible answer: If the tallest bar on the bar

graph is for football, then the hypothesis is true.

UNIT 7 LESSON 10 Testing a Hypothesis 169

Page 20: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

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Multiply.

1 8.4 ∙ 6.5 = 2 3.9 ∙ 6.6 = 3 5.2 ∙ 6.1 =

4 9.1 ∙ 6.9 = 5 3.4 ∙ 0.99 = 6 0.19 ∙ 2.3 =

7 2.4 ∙ 0.06 = 8 0.85 ∙ 0.64 = 9 0.33 ∙ 0.92 =

10 A truck goes 13.2 miles on one gallon of fuel. How many miles can it go on 2.9 gallons?

11 The rectangular top of a table is 3.2 feet long and 4.2 feet wide. What is the area of the tabletop?

12 A wall is 8.5 feet high and 16.2 feet long. One gallon of paint covers 125 square feet. Will one gallon of paint cover the wall? Why or why not?

13 Stretch Your Thinking If you wanted to survey 20 students from your school about their favorite TV show, would it be better to survey 20 boys or 10 boys and 10 girls? Why or why not?

38.28 miles

54.6

62.79

0.144

25.74

3.366

0.544

31.72

0.437

0.3036

13.44 square feet

no; The area of the wall is 8.5 ⋅ 16.2 = 137.7 square feet, which is more

than 125 square feet, so one gallon of paint will not be enough.

Possible answer: 10 boys and 10 girls, because the boys might watch

different programs than the girls.

170 UNIT 7 LESSON 10 Testing a Hypothesis

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Page 21: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

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Homework7-11

1 Tanya recorded how many pages she read in her science book each day during the week. The number of pages were 7, 3, 3, 5, and 2. What is the mean, median, and range of the number of pages Tanya read?

mean: median: range:

If Tanya read two pages on Saturday, what would be the new median? Explain.

Find the mean, median, and range.

2 3, 7, 1, 9, 10 3 2, 4, 6, 8, 10

Mean: Mean:

Median: Median:

Range: Range:

4 12, 20, 3, 22, 74, 61 5 18, 37, 91, 56, 70, 40

Mean: Mean:

Median: Median:

Range: Range:

6 239, 279, 504, 371, 102 7 108, 118, 102, 125, 102

Mean: Mean:

Median: Median:

Range: Range:

6

4 pages 3 pages 5 pages

The median would still be 3 pages. The two middle numbers are

both 3, and the mean of 3 is 3.

6

52

111299

32

7 6

48

108279

21

9 8

73

23402

71

UNIT 7 LESSON 11 Mean, Median, and Range 171

Page 22: 1 )....11 Luke is 4 years younger then Zoe. Mischa is half Luke’s age. Let z be Zoe’s age. a. Write an expression for Luke’s age. b. Write an expression for Mischa’s age. c

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Solve. Circle the choice that tells how you gave your answer.

1 A truck can carry 12 cubic yards of dirt. At a construction site, there are 119 cubic yards of dirt to haul away. What is the least number of loads of dirt that need to be hauled away?

whole round mixed decimal remainder number up number only only

2 Organic kale costs 79 cents for every bunch. Jeremy has $7.62. What is the greatest number of bunches of kale Jeremy can buy?

whole round mixed decimal remainder number up number only only

3 A theater sells out all seats for a performance and earned $6,318 in ticket sales. The theater has 324 seats. The price of each ticket is the same. What is the price of each ticket?

whole round mixed decimal remainder number up number only only

4 Each egg carton holds 12 eggs. A farmer gathers 617 eggs to take to the market. How many egg cartons can the farmer fill completely?

whole round mixed decimal remainder number up number only only

5 Stretch Your Thinking Explain how you would find the median of data points displayed on a bar graph.

7-11

10 loads

9 bunches

$19.50

51 cartons

The bar with the middle height is the median. If two or more bars are

the same height, and one is in the middle when sorted by height, the

height of those bars is the median. If there is an even number of bars,

the median is the mean of the heights of the two middle bars.172 UNIT 7 LESSON 11 Mean, Median, and Range

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