Mastering the NGSSS

the NGSSS

Practice and Standards-Based Assessment forthe Next Generation Sunshine State Standardsfor Mathematics

Grade 7Includes:

• Practice worksheet for each benchmark of the Grade 7 Next Generation Sunshine State Standards for Mathematics• Standards-Based Practice Assessment to

measure mastery progress

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Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except aspermitted under the United States Copyright Act, no part of this publication may bereproduced or distributed in any form or by any means, or stored in a database orretrieval system, without the prior permission of the publisher.

Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240-4027

ISBN: 978-0-07-892854-3MHID: 0-07-892854-0 Mastering the NGSSS, Grade 7

Printed in the United States of America.

1 2 3 4 5 6 7 8 9 10 009 17 16 15 14 13 12 11 10 09

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Mastering the NGSSS, Grade 7 Aiii

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Contents

To The Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A1

Practice by Benchmark . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A7

Standards-Based Practice Assessment Answer Document . . . . . . . . . . . . A29

Standards-Based Practice Assessment . . . . . . . . . . . . . . . . . . . . . . . A31

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To The StudentC

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Mastering the NGSSS, Grade 7 A1

In this practice workbook, you will be solving problems covering the Next Generation Sunshine State Standards, or NGSSS, for Grade 7 Mathematics. There are several types of questions that can be used to determine how well you have learned these mathematics standards.

• Most of the questions in this NGSSS workbook are multiple-choice questions. A multiple-choice question can be the easiest kind of problem to answer because Syou know that one of the answer choices is the right answer.

• Another type of question in the NGSSS workbook are gridded-response questions. There are no choices given to select from for this type of question. You must figure out the answer on your own and then record your answer in the grid provided.

• It is important to check over your work. These pages teach you how to check over your work so that you do your best to master the NGSSS.

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A2 Mastering the NGSSS, Grade 7

Name Date

To The Student (continued)

How do I answer multiple-choice questions?

Read the question and circle the letter of the answer you choose.

Sara deposits $4000 into her bank account. The bank pays 4% interest annually. If she makes no deposits or withdrawals for one year, how much interest will she earn?

A. $80.00

B. $100.00

C. $160.00

D. $400.00

• Read the question carefully.• Do any work in your NGSSS workbook beside or below

the question.• Work carefully so as not to make any calculation errors. • Solve the problem.• Look for your answer in the choices. If you do not find

your answer, check your work.• Use a pencil to record your answer in your workbook.


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How do I fill in the bubble?

Did you find your answer among the choices given?

If not, go back and work the problem again.

• If your answer is one of the choices, use a pencil to fill in the answer bubble with the letter of your choice.

• Make sure you fill in the bubble completely. The chart below shows you how to do this best.

• Make your marks dark.

IncorrectA B C D

F G H I

A B C D

IncorrectA B C D

F G H I

A B C D

IncorrectA B C D

F G H I

A B C D

IncorrectA B C D

F G H I

A B C D

• If you make a mistake be sure to erase your first mark completely before marking the correct choice.

CorrectA B C D

F G H I

A B C D


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How do I answer gridded-response questions?

Gridded-response questions ask you to solve a problem and record your answer in a grid like the one shown at the right.

This symbol appears next to the questions that require you to fill in your answer on a grid in your answer book. You MUST fill in the bubbles accurately to receive credit for your answer.

Parts of a Response GridResponse grids for Grade 7 have these parts.

Follow these steps to help you answer gridded-response questions:

• Read the problem carefully. • Make sure you understand what the question is asking.• Decide which facts you need to solve the problem.• Decide which operation you would use.• Work the problem and find an answer.• Check that the answer makes sense.• Write your answer in answer boxes at the top of the grid. If your answer is negative, put a

negative sign in the first box. If your answer is positive, skip the first box.• Print your answer with the first digit in the next box OR with the last digit in the last answer box.• Print only one digit or symbol in each answer box. Do NOT leave a blank answer box in the

middle of an answer.• Be sure to write a decimal point or fraction bar in the answer box if it is part of the answer.• Fill in the proper bubble under each answer box that matches what you wrote in the answer box.

Do NOT fill in a bubble under an unused answer box.

You can practice filling in a gridded-response on the next page.

! " #

$ % % % % " % % % % &

}}

answer boxes

fraction bardecimal point

number bubbles


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Use the space to do your work. Then mark the grid for the answer you have chosen. If you change your answer, be sure to erase completely.

1. Andrew’s baseball team won 9 _ 12

of their games. Which of the following decimals is another way to write 9 _

12 ?


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How can I check my work?

Ask yourself these questions:

• Did I use the right information from the problem?

• Did I answer the question that was asked?

• When solving the problem, did I copy the correct numbers from the problem?

• Did I do the math correctly?

• Does my answer make sense?

• Did I fill in the bubbles correctly for the multiple-choice questions?

• Did I fill in the bubbles correctly for the gridded-response questions?


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Practice By BenchmarkMA.7.A.1.1

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Circle the letter of the answer you choose.

11 Four friends purchased papayas at different farm stands. The amounts they paid for the number of pounds they purchased are listed below. Who received the best deal?

Papaya Prices & WeightsDiego Matt Laura Jackie$5.60 $3.69 $6.30 $6.00

2 lb 1 lb 3 lb 4 lb

A. DiegoB. MattC. LauraD. Jackie

[Lesson 4-1]

22 The table below lists population estimates for several Florida counties.

Projected PopulationCounty 2007 2010

Flagler 93,568 103,500

Orange 1,105,603 1,154,200

Lafayette 8,215 9,200

Miami-Dade 2,462,292 2,512,300

Which county’s projected growth rate is highest?

F. FlaglerG. OrangeH. LafayetteI. Miami-Dade

[Lesson 4-1]

33 A heart typically beats 4,320 times in an hour. At this rate, how many times does a heart beat in 8 minutes?

[Lesson 4-1]

44 The table shows actual distances between Florida towns. What should the legend on the map say?

Distance Between TownsTown Town Distance

Old Town Alachua 42 mi

Fanning Springs Satsuma 54 mi

Alachua

SatsumaFanningSprings Ocala National

Forest

Old Town

Jacksonville

Orlando

FLORIDA

AtlanticOcean

Gulf of Mexico

A. 1 inch = 10 milesB. 1 inch = 9 milesC. 1 inch = 8 miles D. 1 inch = 1 mile

[Lesson 4-21]

A7_A28_NGSSS_G7PrbyB_892854.indd7 Page 7 4/3/09 8:52:19 AM u-s008A7_A28_NGSSS_G7PrbyB_892854.indd7 Page 7 4/3/09 8:52:19 AM u-s008 /Volumes/118/GO00281/NGSSG%0/NGSSG_6_8/Application_Files_XXXXXX/grade07/PB/Volumes/118/GO00281/NGSSG%0/NGSSG_6_8/Application_Files_XXXXXX/grade07/PB

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Practice By Benchmark MA.7.A.1.2


11 Suppose Trahn invests an amount of money in a CD for 5 years at an interest rate of 6.2%. At the end of each year, he receives a check for the interest he has earned that year. If he earns $930 in interest over the 5 years, how much did he invest?

[Lesson 6-3]

22 A group of four friends celebrated a birthday at a local Japanese restaurant. After adding a 15% tip to the original bill, they each paid an equal portion of the total amount of $69.00. What was the amount of the original bill?

A. $79.35B. $60.00C. $54.00D. $17.25

[Lesson 6-3]

33 Maya’s favorite store is having a one-day sale and she wants to take advantage of it. What percent discount is the store offering?

One-Day Sale Prices

Item Original Price Sale Price

Jeans $99.00 $59.40

Vest $65.00 $39.00

Tank top $19.99 $11.99

F. 60%G. 40%H. 26%I. 16%

[Lesson 6-3]

44 There are 200 people attending a school party, 99% of whom are FSU fans. After some of the FSU fans left the party, 98% of the people at the party are FSU fans. How many people left the party?

[Lesson 6-3]


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11 A painter took a digital photo of a 16-inch wide by 20-inch long painting to display on his website. The digital image is 2.5 inches long. What is the area of the image in square inches?

[Lesson 4-3]

22 !ABC is similar to !JKL. If the perimeter of !ABC is 12 inches, what is the perimeter of !JKL?

4 in.

3 in.A

B

K

C 6 in.J L

A. 8 inchesB. 10 inchesC. 24 inchesD. 36 inches

[Lesson 4-3]

33 Which triangle is similar to !XYZ?

2 cm 2 cm

3 cmX Z

Y

F.

1.5 cm

2 cm 2 cm

G.

2 cm

2 cm 2 cm

H. 3 cm 3 cm

4 cm

I. 1 cm 1 cm

1.5 cm

[Lesson 4-3]

44 The parallelogram shown below hassides measuring 20.5 centimeters and14 centimeters.

20.5 cm

14 cm

Cecilia draws a similar parallelogram sothat the longest two sides are each24.6 centimeters. What is the length ofone of the other sides of Cecilia’s parallelogram?

A. 18.1 centimeters C. 11.7 centimetersB. 16.8 centimeters D. 9.9 centimeters

[Lesson 4-3]


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11 Which graph shows the relationship between quarts and gallons?

A. y

xO

2468

101214161820

1 2 3 4 5 6 7 8 9 10

Num

ber o

f Qua

rts

Number of Gallons

B. y

xO

2468

101214161820

1 2 3 4 5 6 7 8 9 10

Num

ber o

f Qua

rts

Number of Gallons

C. y

xO

2468

101214161820

1 2 3 4 5 6 7 8 9 10

Num

ber o

f Qua

rts

Number of Gallons

D. y

xO

2468

101214161820

1 2 3 4 5 6 7 8 9 10

Num

ber o

f Qua

rts

Number of Gallons

[Lesson 5-2]

22 Logos Café provides Internet access to their customers for a fee. The graph below represents the fee per number of minutes on the Internet. What is the fee?

8.00

16.00

24.00

32.00

100 20 30 40

LOGOS CAFÉ INTERNET FEE

Fee

(in d

olla

rs)

Number of Minutes

F. $16.00/min H. $0.80/minG. $8.00/min I. $0.20/min

[Lesson 5-2]

33 The graph below represents a unit conversion. Which relationship matches the data in the graph?

200100

0

300400500600700800900

1000

1 2 3 4 5 6 7 8 9 10

UNIT CONVERSION

A. centimeters to kilometersB. meters to centimetersC. millimeters to centimetersD. meters to millimeters

[Lesson 5-2]


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11 Which of the following tables demonstrates an inverse variation between x and y?

A. x 0.3 1 2 4

y 8 2.4 1.2 0.6

B. x 6 10 14 18

y 4 0 -4 -8

C. x 2 3 5 7

y 3.6 5.4 9 12.6

D. x 5 10 15 20

y -5 -10 -15 -20

[Lesson 5-3]

22 When people see a flash of lightning, their distance from the lightning varies directly with the amount of time it takes to hear thunder. For example, if Jacinta sees lightning and then hears thunder 15 seconds later, she is 3 miles from the lightning. If Jacinta sees lightning and then hears thunder 12 seconds later, how far is she fromthe lightning?

F. 2 milesG. 2.4 milesH. 2.5 milesI. 2.8 miles

[Lesson 5-3]

33 Which graph models a direct variation?

A. y

xO

B. y

xO

C. y

xO

D. y

xO

[Lesson 5-3]

44 The number of tablespoons of sea salt in a saltwater fish tank varies directly with the number of gallons of water in the tank. A pet-shop owner recommends a ratio of100 tablespoons of sea salt to 20 gallons of fresh water. How many tablespoons of sea salt should there be in a 35-gallon tank?

F. 70 tablespoons H. 175 tablespoonsG. 140 tablespoons I. 700 tablespoons

[Lesson 5-3]


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11 Monica’s family is driving from Daytona Beach to Savannah, a distance of approximately 195 miles. After 1 hour, they have driven 60 miles. If they continue to travel at the same speed, about how much longer will it take them to reach Savannah?

A. 120 minutesB. 135 minutesC. 195 minutesD. 255 minutes

[Lesson 4-1]

22 An interior designer made the scale drawing of a living room shown below.

Sofa

Table0.7 in.

0.8 in.

0.2 in.

TV

Chair

Plant Plant

Shelves

Lamp

The scale of the drawing is 1 inch = 50 inches. What is a good estimate of the actual length of the table?

F. 10 inchesG. 35 inchesH. 40 inchesI. 71 inches

[Lesson 4-2]

33 Mrs. Rodriguez compared the prices of different-sized bottles of shampoo.

Shampoo PricesSize Price

20 ounce $14.99

15 ounce $7.50

12 ounce $7.00

8 ounce $5.60

If she wants to pay the lowest unit price, which size should she buy?

A. 20 ounceB. 15 ounceC. 12 ounceD. 8 ounce

[Lesson 4-1]

44 During a 3-kilometer cross-countryrace, Carmen ran at a speed of 7.5 kilometers per hour while Sarah’s speed was 0.1 kilometers per minute. How many kilometers more than Sarah had Carmen run after 10 minutes?

[Lesson 4-1]


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Practice By Benchmark MA.7.G.2.1


11 A grain silo in the shape of a cylinder is shown below.

20 ft

14 ft

How many cubic feet of grain can fit within the silo? Use 22 _

7 for !.

[Lesson 8-1]

22 Jack has a tree house in the shape of a triangular prism. The base of the prism is shown below.

12 ft

12 ft12 ft

10 ft

If the height of the prism is 5 feet, what is its surface area?

A. 60 square feet C. 300 square feetB. 180 square feet D. 600 square feet

[Lesson 8-2]

33 Ezra is setting up a new fish tank. The tank is 100 centimeters long, 67 centimeters wide, and 52 centimeters tall. Which of the following expressions can he use to estimate the volume of the fish tank in cubic centimeters?

F. 100 + 67 + 52G. 100 + 70 + 50H. 100 ! 60 ! 50I. 100 ! 70 ! 50

[Lesson 8-1]

44 What is the surface area of a cylinder that has a diameter of 10 meters and a height of3 meters?

A. 55! square metersB. 80! square metersC. 160! square metersD. 260! square meters

[Lesson 8-2]

55 The right square pyramid pictured below is6 feet high.

8 ft

What is the volume of this pyramid?

F. 128 cubic feetG. 80 cubic feetH. 64 cubic feetI. 40 cubic feet

[Lesson 8-1]


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11 A block of wood is shaped like a rectangular prism with the dimensions shown below.

2 cm

10 cm

8 cm20 cm

A hole is drilled out of the middle of the prism with a radius of 2 centimeters. What is the volume of the remaining wood? Use 3.14 for !.

A. 125.6 cubic centimeters B. 1,474.4 cubic centimetersC. 1,600 cubic centimetersD. 1,725.6 cubic centimeters

[Lesson 8-3]

22 Fort Matanzas in St. Augustine was used during the colonial wars. It became a National Monument in 1924. Ben made a model of the fort as a school project. He painted four of the model’s faces in gray, as shown below.

8 in.

2 in.

7 in.

3 in.

4 in.

How many square inches of gray paint did Ben use?

F. 68 in2 H. 37 in2

G. 48 in2 I. 27 in2

[Lesson 8-3]

33 Anthony’s lunch box is shaped like a rectangular prism with half of a cylinderon top.

How many cubic inches is the total volume of the lunchbox? Use 3.14 for !.

A. 228.48 cubic inches B. 222.80 cubic inchesC. 178.24 cubic inchesD. 153.12 cubic inches

[Lesson 8-3]

44 A pyramid sits on top of a rectangular prism as shown below.

6 in.

5 in. 11 in.

7 in.

What is the total volume of the figure?

F. 380 cubic inchesG. 450 cubic inchesH. 495 cubic inchesI. 500 cubic inches

[Lesson 8-3]


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11 Which expression can be used to find the distance between the numbers 7 and -3 on a number line?

A. 7 ! 3B. " 7 ! (!3) # C. " 7 ! 3 # D. !3 ! 7

[Lesson 1-1]

22 When the temperature drops below 32 degrees for more than five hours, citrus crops could be in danger. The temperatureat 9:00 p.m. is 36 degrees and dropping2 degrees per hour. At what time do farmers need to take precautionary measures to protect their crops?

F. 9:00 p.m.G. 10:00 p.m.H. 11:00 p.m.I. 12:00 a.m.

[Lesson 1-2]

33 What is the value of the expression !14 ÷ (!2)?

A. !28B. !7C. 7D. 28

[Lesson 1-3]

44 Sadie wants to plant tulip bulbs in her garden. She wants to plant the bulbs in groups of 5 bulbs in each hole. She hasroom for 3 rows with 6 holes in each row. How many tulip bulbs will Sadie need for her garden?

F. 15G. 18H. 30I. 90

[Lesson 1-3]

55 In 2000, according to state data, 76.91% of Florida residents spoke English at home as a first language. By 2005, that percentage dropped to 74.54%. Which number best shows the percent of change?

A. 5%B. 2.37%C. –2.37%D. –5%

[Lesson 1-2]

66 What is the difference between 6 and !13?

F. –19G. –7H. 7I. 19

[Lesson 1-2]


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11 Which number, when multiplied by 3 _ 2 , gives

a product between 2 and 3?

A. 1 _ 2

B. 3 _ 4

C. 5 _ 4

D. 3 _ 2

[Lesson 2-3]

22 Alfonse completed 1 _ 3 of his homework while

at school and 3 _ 5 of his homework after

dinner. How much of his homework has Alfonse has completed?

F. 1 _ 2

G. 4 _ 15

H. 14_ 15

I. 3 _ 15

[Lesson 2-2]

33 What is the value of 4 _ 9 ÷ 5 _

3 ?

A. 20_ 27

B. 4 _ 15

C. 1 _ 2

D. 3 _ 4

[Lesson 2-3]

44 What is the value of ( 1 _ 2 ) 5?

F. 5 _ 10

G. 1 _ 32

H. 1 _ 10

I. 2

[Lesson 2-3]

55 Ecologists study changes in the body condition of alligators over time. The relationship between an alligator’s weight and length is described by a body condition index. An increase in the index is a sign that more prey is available. In the fall of 1999, the body condition index of alligators in the Everglades National Park Estuaries was 11 2 _

5 .

In the spring of 2004, the index was 9 9 _ 10

. What was the change in the body condition index for alligators in this region? Express your answer in decimal form.

-

[Lesson 2-2]


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11 The ski club made fleece scarves and sold them for $3.25 each. The total cost of materials was $35.50 and the club made a profit of $663.25. Use the equation belowto find s, the number of scarves the skiclub made.

3.25s - 35.5 = 663.25

How many scarves did the ski club make?

A. 168B. 193C. 215D. 239

[Lesson 3-3]

22 During the 2005–2006 school year there were 1,486 students enrolled at Olsen Middle School. The following year there were only 1,329 students enrolled. Assume that this trend continues for several years. Use the equation below to find y, the number of years after the 2005–2006 school year that enrollment reached 1,015 students.

1,015 = -157y + 1,486

How many years after the 2005–2006 school year did enrollment reach 1,015 students?

F. 2 yearsG. 3 yearsH. 4 yearsI. 5 years

[Lesson 3-3]

33 What is the value of x that makes the following equation true?

7x + 18 = 13x - 12

-

[Lesson 3-3]

44 A can of nuts costs $3.80. Before sales tax, the total cost for c cans of nuts is $15.20. Use the equation below to find the number of cans of nuts purchased.

3.80c = 15.20

How many cans of nuts were purchased?

A. 3B. 4C. 5D. 6

[Lesson 3-2]

55 What is the value of m if m + 8 = !22?

F. !30G. !14H. 14I. 30

[Lesson 3-1]


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11 Which is another way to express the following equation?

15x - 4 = 7 - 12x

A. !3 = !27xB. 3x = 3C. 3x = 11D. 27x = 11

[Lesson 3-3]

22 Emile starts with $10 in his school lunch account. Over time he buys pieces of fruit for $0.50 each and packages of crackers for $0.85 each. One day he finds that the balance in his account is $0.40. The equation below models the situation for f, the pieces of fruit that he bought, and c, the packages of crackers he bought.

10 - 0.50f - 0.85c = 0.40

Which of the following is an equivalent equation?

F. f = 0.40 + 0.85c _ !0.50

! 10

G. f = !9.60 + 0.85c

__ !0.50

H. f = 10.40 + 0.85c __

0.50

I. f = !10.1 + 0.85c

[Lesson 3-3]

33 Which of the following equations is equivalent to 8z - 3 = 2z?

A. 8z ! 3 = 2z ! 3B. 16z ! 3 = 4zC. 8z = 2z + 3D. 8z - 3 = 2z + 5

[Lesson 3-3]

44 Tricia applies the Multiplication Property of Equality to the equation below.

3x - 6 _ 5 = -4 + x

Which of the following equations could be her result?

F. 3x ! 6 = !20 + 5x

G. 3x ! 6 = !4 + x

_ 5

H. 5(3x ! 6) = 5(!4 + x)

I. 3x ! 6 _ 5 =

!4 + x _

5

[Lesson 3-3]

55 Kaylee is solving the equation below.

–2x – 4 = 5x – 7

Which operations can Kaylee perform on her equation that would justify its equivalence to 3 = 7x?

A. Subtract 4 from both sides of the equation. Then divide both sides by –2.

B. Add 7 to both sides of the equation. Then divide both sides by 5.

C. Subtract 4 from both sides of the equation. Then add 2x to both sides.

D. Add 7 to both sides of the equation. Then add 2x to both sides.

[Lesson 3-3]


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11 A 7-inch pizza costs $3.90. The cost of the pizza is based on its area. How much does a 14-inch pizza cost?

14 in.7 in.

A. $3.90B. $7.80C. $11.70D. $15.60

[Lesson 9-2]

22 The side lengths of prism A are given in the diagram below.

2 in.

3 in.

1 in. A B

The lengths of the sides of prism B are 3 times the side lengths of prism A. What is the surface area of prism B?

F. 25 square inchesG. 66 square inchesH. 198 square inchesI. 484 square inches

[Lesson 9-2]

33 The ratio of the perimeters of two similar squares is 5 to 4. If the area of the smaller square is 32 square units, what is the area of the larger square?

[Lesson 4-3]

44 Look at circles shown below.

x 2x

Which is a true statement?

A. The circumference of the larger circle is twice that of the smaller circle.

B. The circumference of the larger circle is four times that of the smaller circle.

C. The area of the larger circle is twice that of the smaller circle.

D. The area of the larger circle is eight times that of the smaller circle.

[Lesson 9-2]


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11 What are the coordinates of point C in the figure below after a translation of 3 units up and 4 units left?

O

!2!3!4

21 43!2!3!4

1234

y

x

A. (–1, 3)B. (1, 3)C. (6, –4)D. (1, –3)

[Lesson 10-1]

22 The vertices of !ABC are A(0, 6), B(2, 1), and C(–3, 4). If the figure were reflected across the x-axis to create !WXY, what would be the coordinates of the vertices of !WXY?

F. W(–6, 0), X(2, 1), Y(–3, –4)G. W(–3, –4), X(2, 1), Y(0, –6)H. W(0, –6), X(2, –1), Y(–3, –4)I. W(0, 6), X(–2, 1), Y(3, –4)

[Lesson 10-2]

33 Suppose quadrilateral QRST is dilated about point Q with a scale factor of 2. Which of the following expressions can be used to find the length of segment S!T!?

A. 4 • STB. 2 • STC. 0.5 • STD. 0.25 • ST

[Lesson 10-4]

44 Look at the coordinate grid below. Let trapezoid LMNP rotate clockwise 270° around point P.

y

O!4 !2!5 !3 21 3

!3

!2

2

45

3

x

Which ordered pair names point L!?

F. (–1, 1)G. (1, 3)H. (1, –1)I. (1, 3)

[Lesson 10-3]

55 Darrel draws a right triangle with a height of 9 centimeters and a base of 12 centimeters, as shown below.

9 cm

12 cm

Darrel dilates the triangle by a scale factor of 2 _

3 . What is the area of the resulting

triangle?

A. 24 square centimetersB. 36 square centimetersC. 81 square centimetersD. 122 square centimeters

[Lesson 10-4]


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11 Line segment AB has one endpoint at A(5, 9) and another at B(13, 21) on a coordinate grid. The line segment lies in which of the following quadrants?

A. IB. IIC. IIID. IV

[Lesson 1-1]

22 The map below shows Frank’s garden.

y

x

2

2

4

6

0 4 6

–6

–4

–2–6 –4 –2

Which ordered pair best names the location of the carrots?

F. (3, 4)G. (-3, 4)H. (3, -4)I. (-3, -4)

[Lesson 1-1]

33 Point A is at (2, 5). Point B is 2 units to the right and 8 units below Point A. What are the coordinates of Point B?

A. (2, 8)B. (4, 3)C. (4, –3)D. (0, –3)

[Lesson 1-1]

44 The map below shows the location of four different rooms at Holly’s school.

y

x

2

2

4

6

0 4 6

–6

–4

–2–6 –4 –2

Gymnasium

MusicLibrary

Art

Gymnasium

MusicLibrary

Art

Which room is at the point (3, –5)?

F. GymnasiumG. Art RoomH. Music RoomI. Library

[Lesson 1-1]

55 The points W(–4, 3), X(3, –5), Y(2, 6), and Z(–3, –1) are plotted on a coordinate grid. Which point is in the second quadrant?

A. point ZB. point YC. point XD. point W

[Lesson 1-1]


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11 Val calculates that with each step she walks she travels 2 feet. The distance from her home to school is 3,000 yards. After taking 15 steps, how many more yards does she have to walk to school?

[Lesson 9-1]

22 According to his car’s odometer, Alfonso drove a total of 10 kilometers from his house to the movie theater, and back again. Approximately how many miles is it between Alfonso’s house and the movie theater?

A. 3 milesB. 6 milesC. 30 milesD. 528 miles

[Lesson 9-1]

33 Evan used a cardboard box to make a bed for his hamster. He filled it to the top with shredded paper.

15 cm

10 cm6 cm

How many cubic millimeters of shredded paper did Evan use?

F. 900 cubic millimetersG. 9,000 cubic millimetersH. 90,000 cubic millimetersI. 900,000 cubic millimeters

[Lesson 9-1]

44 Phil has to store a number of small boxes, all measured in cubic inches, in an area that is measured in cubic feet. What should Phil do to determine how many boxes can be placed in the storage area?

A. Convert the volume of the boxes to cubic yards.

B. Convert the volume of the space to cubic yards.

C. Convert the volume of the boxes to cubic feet.

D. Divide the volume of the space by the volume of the boxes and then multiply by 12 to convert to feet.

[Lesson 9-1]


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11 Which pair of values is equivalent?

A. 1 _ 5 and 0.02

B. 1 _ 4 and 0.25

C. 1 _ 3 and 0.3

D. 1 _ 2 and 0.2

[Lesson 2-1]

22 The table shows the fraction of answers students got correct on a test. What is the decimal form for Willie’s score?

Fraction of Correct Answers

Miguel 6 _ 8

Willie 7 _ 8

Rachel 5 _ 8

F. 0.625G. 0.75H. 0.875I. 1.14

[Lesson 2-1]

33 Which value is NOT a terminating decimal?

A. 0.2666B. 1.2626C. 1.

__ 26

D. 2.6

[Lesson 2-1]

44 What is the height of the rectangle below, written as a decimal?

2.6 cm

cm19

F. 2.6 centimeterG. 0.9 centimeterH. 0.

_ 1 centimeter

I. 0.1 centimeter

[Lesson 2-1]

55 Nine of Florida’s twenty-one state symbols are animals, including the state bird (mockingbird), state reptile (American alligator), and state saltwater fish (sailfish). Which decimal represents the fraction of state symbols that are animals?

A. 0.428571B. 0.42857143C. 0.

______ 428571

D. 0. _ 4

[Lesson 2-1]

66 Which decimal is equivalent to 7 _ 11

?

F. 0. __

63 G. 0.63H. 0.

__ 57

I. 0.57

[Lesson 2-1]


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11 Raj used 2 _ 3 of his money to buy a used

bicycle. He then bought a new helmet for $45. After buying shin guards with 50% of the remaining amount, Raj had $2.50. How much did the bicycle cost?

A. $150.00B. $100.00C. $50.00D. $49.50

[Lesson 3-1]

22 Carlos bought a new cell phone. The graph below represents the relationship between the number of minutes he uses and the total cost. Carlos’ latest phone bill was $21.00. About how many minutes did he use?

Tota

l Cos

t (in

dol

lars

)

0 20 40 60 80 100 120 140 160 180 200

Number of Minutes

25

20

15

10

5

CELL PHONE USAGE

F. 7 minutesG. 9 minutesH. 150 minutesI. 160 minutes

[Lesson 3-1]

33 Ms. Gonzalez wanted to buy a book that was on sale for 25% off the original price. The bookstore was offering an additional 20% off to customers who used their store credit card. After all the discounts, Ms. Gonzalez paid $24.00 for the book. What was the original price in dollars?

[Lesson 3-1]

44 A baby tiger, from her birth, gains 3 pounds every 2 weeks. After 10 weeks, she weighs 17.5 pounds. How much did the tiger weigh at birth?

A. 14.5 poundsB. 5.5 poundsC. 3 poundsD. 2.5 pounds

[Lesson 3-1]


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Practice By Benchmark MA.7.S.6.1


11 A scientist takes samples from 4 parts of a lake. She gives each sample a pollution rating from 0 to 10. The results are shown in the table below.

Pollution TestingSample 1 2 3 4

Rating 3.1 2.9 9.2 2.8

The scientist calculates that the mean rating is 4.5, but she does not believe this is a good representation of the lake’s pollution. Which of the following could explain why?

A. She calculated the mean incorrectly.B. Some oil from her boat may have

contaminated one of the samples.C. She should have collected each sample

on a different day.D. Sample 1 is too low compared to the

others.

[Lesson 7-3]

22 A group of middle school students is randomly surveyed to determine how much, on average, teenagers drive in a week. Is it reasonable to use this sample group for this survey?

F. Yes, the survey is random.G. No, middle school students do not have

their driver’s licenses.H. Yes, most middle school students are

teenagers.I. No, the sample group should not be

chosen randomly.

[Lesson 7-3]

33 The table below lists the number of students in each grade at the Byron School.

Students at the Byron School

Grade Number of Students6 250

7 200

8 150

A random survey of 60 seventh grade students revealed that 30 students want to take a computer graphics class. Which is a reasonable generalization about students at Byron School that can be made based on this data?

A. More sixth grade students want to take a computer class than seventh grade students.

B. More eight grade students want to take a computer class than sixth grade students.

C. About half of the seventh grade students want to take a computer graphics class.

D. About half of the students in the middle school want to take a computer graphics class.

[Lesson 7-3]

44 Which is the best sample to use for predicting the next school president?

F. the number of players on the school soccer team

G. the students in the school government club

H. every tenth student that leaves the school in the afternoon

I. all the students that walk to school

[Lesson 3-3]


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Practice By BenchmarkMA.7.S.6.2


11 Look at the circle graph below.

CIRCUIT COURT FILINGSHAMILTON COUNTY, 2006–07

Which statement is supported by the graph?

A. About half of all the cases filed were criminal cases.

B. Together, about a quarter of all the cases filed were civil or probate cases.

C. If a clerk selects a case at random for review, it is most likely to be a civil case.

D. If a clerk selects a case at random in a different county, it is most likely to be a family case.

[Lesson 7-1]

22 Pam has 30 plant photos, 100 cat photos, and 70 dog photos. In a circle graph, which angle measure would be used for the plant section?

F. 180ºG. 126ºH. 54ºI. 15º

[Lesson 7-1]

33 Kyle is using the data below to make a histogram.

Mean Travel Time to WorkMean Travel Time

(minutes) Frequency

18.0–22.4 9

22.5–26.9 28

27.0–31.4 24

31.5–35.9 6

Which scale should Kyle use for the vertical axis?

A. 0 to 28B. 0 to 100 C. 6 to 28D. 18 to 35.9

[Lesson 7-1]

44 The ages of customers entering a store are 13, 20, 20, 16, 53, 41, 37, 20, 21, 47, 10, and 30. Janna plans to make a stem-and-leaf plot to display the data. Which stem will have the most leaves?

[Lesson 7-1]


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Practice By BenchmarkMA.7.P.7.1


11 Without looking, Max draws a marble from a bag. He records the color, and then puts it back in the bag. The results are shown in the table below.

Marbles DrawnColor Number of Drawsblue 9

orange 3

yellow 6

purple 2

Which event is likely next?

A. A purple marble will be drawn.B. An orange marble will be drawn.C. A purple marble will not be drawn.D. A blue marble will not be drawn.

[Lesson 7-2]

22 Look at the spinner below.

3

2

4

1

5

What is the sample space for the spinner?

F. 1, 2, 3, 4, 5G. 2, 4H. 1, 3, 5I. 1, 2, 3, 4, 5, 6

[Lesson 7-2]

33 Suppose you are playing a card game. In order to win, you need to draw a 4. The cards below are the only ones left.

If you choose a card at random, what is the probability you will pick a 4?

A. 4%B. 25%C. 50%D. 75%

[Lesson 7-2]

44 Leena rolls a number cube labeled from 1 to 6. Which number is she most likely to roll?

F. 2G. 4H. 6I. Each number is equally likely.

[Lesson 7-2]

55 Water freezes at 32˚F. For Tampa in December, the average low temperature is 52˚F and the record low temperature is 18˚F. Which describes the probability of water freezing outdoors in Tampa on a random day in December?

A. impossibleB. unlikelyC. likelyD. certain

[Lesson 7-2]


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Practice By BenchmarkMA.7.P.7.2


11 A laundry bag contains 4 green socks, 6 red socks, and 2 blue socks. Inez reaches into the bag and randomly pulls out 2 socks, one right after the other. What is the probability that she pulls out a green sock and then a blue sock?

A. 2 _ 11

B. 6 _ 11

C. 2 _ 33

D. 8 _ 33

[Lesson 7-3]

22 Mike spins the spinners below at the same time.

3 4

21

3

2

4

1

5

Which expression can Mike use to find the probability that he will spin an even number on each spinner?

F. 3 _ 4 · 3 _

5

G. 4 _ 9 · 3 _

8

H. 1 _ 4 · 2 _

5

I. 1 _ 2 · 2 _

5

[Lesson 7-3]

33 The ages of the students in Mrs. Yetz’s art class are shown in the table below.

Mrs. Yetz’s ClassAge Number of Students11 5

12 3

13 2

There are 6 girls and 4 boys in the class. What is the probability that a student chosen at random is a 12-year-old girl?

A. 0.18B. 0.3C. 0.45D. 0.9

[Lesson 7-3]

44 Maria tossed two coins at the same time. She did this 20 times and recorded the results in the table below.

ResultsCoin 1 Coin 2 FrequencyHeads Heads 4

Heads Tails 6

Tails Heads 7

Tails Tails 3

Based on this data, what is the probability that her next toss will show heads on both coins?

F. 0.15G. 0.2H. 0.25I. 0.8

[Lesson 7-3]


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Standards-Based Practice AssessmentStudent Answer Document

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1 A B C D

2 F G H I

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5 F G H I

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8 A B C D

9 F G H I

10 A B C D

11 F G H I

12 A B C D

13 F G H I

14

15

16 A B C D

17 F G H I

18

19 A B C D

20 F G H I

21 A B C D

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Standards-Based Practice AssessmentStudent Answer Document (continued)

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22 F G H I

23 A B C D

24 F G H I

25 A B C D

26 F G H I

27 A B C D

28 F G H I

29 A B C D

30 F G H I

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32 F G H I

33 A B C D

34 F G H I

35

36 A B C D

37 F G H I

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A29_A30_NGSSS_G7SBPA_SAD_892855.A30 Page A30 4/2/09 2:56:25 PM u-s008A29_A30_NGSSS_G7SBPA_SAD_892855.A30 Page A30 4/2/09 2:56:25 PM u-s008 /Volumes/118/GO00281/NGSSG%0/NGSSG_6_8/Application_Files_XXXXXX/grade07/SBPA/Volumes/118/GO00281/NGSSG%0/NGSSG_6_8/Application_Files_XXXXXX/grade07/SBPA

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Standards-Based Practice Assessment

Use the space in the Test Book to do your work. Then mark the space in your Answer Document for the answer you have chosen. If you change your answer, be sure to erase completely.

11 The balance models an equation.

x x x 1 1 1 1 1 1y y y y y y

Which equation is NOT equivalent to the equation modeled by the balance because of the property given?

A. 3(x + 1) = 6y + 3; Distributive Property B. 3x + 3 ! 3 = 6y + 3 ! 3; Subtraction

Property of Equality

C. 3x + 3 _

3 =

6y + 3 _

3 ; Division Property of

Equality D. 0 = 6y + 3x; Addition Property of

Equality

22 What is the volume of the figure shown below?

6

6

3

1

F. 114 cubic unitsG. 120 cubic unitsH. 144 cubic unitsI. 228 cubic units

33 The dimensions of two cubes are shown below.

3n cmn cm

The volume of the smaller cube is 125 cubic centimeters. What is the volume of the larger cube in cubic centimeters?

44 When the price of gasoline dropped $0.05 per gallon, it cost Mr. Lee $22.68 to fill his 14-gallon gas tank. By what percent did the price per gallon decrease?

A. 3%B. 14%C. 20%D. 30%

55 The sum of the digits of a two-digit number is 11 and the difference of the digits is 5. What is the number?

F. 38G. 47 H. 74 I. 83

A31_A39_NGSSS_G7SBPA_892854.inddA31 Page A31 4/3/09 11:10:11 PM u-s010A31_A39_NGSSS_G7SBPA_892854.inddA31 Page A31 4/3/09 11:10:11 PM u-s010 /Volumes/118/GO00281/NGSSG%0/NGSSG_6_8/Application_Files_XXXXXX/grade07/SBPA/Volumes/118/GO00281/NGSSG%0/NGSSG_6_8/Application_Files_XXXXXX/grade07/SBPA

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Standards-Based Practice Assessment (continued)

66 Seventh graders are making a scale model of a house and yard. There is a semi-circular driveway with width w, as shown below.

4 m

wScale:6 cm = 2 m

12 m

What should be the width, in centimeters, of the driveway on the model?

77 At her store, Stella sells clothing for 60% more than she paid. During a weekend sale, Stella sold clothing for 12.5% off what she would normally charge. Her revenues, including the 6% Florida sales tax, totaled $29,680. How much did Stella pay, in dollars, for clothing sold that weekend?

88 Rectangle ABCD is centered about the origin. Point A has coordinates (3, 4). Rectangle ABCD is rotated 90 degrees counterclockwise about the origin. What are the coordinates of A! ?

A. (3, 4)B. (-3, 4)C. (4, 3)D. (-4, 3)

99 A cylinder has the following dimensions.

2 cm

3 cm

Which is the cylinder’s approximatesurface area?

F. 9.42 square centimeters G. 12.56 square centimeters H. 25.12 square centimeters I. 62.8 square centimeters

1010 In 1958, NASA began its operations in Cape Canaveral. After a recent visit to Cape Canaveral, Allison created a spaceship model by placing a cone on top of a cylinder.

10 in.

6 in.5 in.

What is the volume of her model?

A. 628 cubic inches B. 942 cubic inches C. 1,256 cubic inchesD. 1,727 cubic inches


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1111 Which of the following is NOT true of similar figures?

F. They have the same shape. G. They have the same number of sides. H. Corresponding sides are proportional.I. Corresponding angles are proportional.

1212 Amanda drove 63 miles at a constant speed for 1.5 hours. If she drives at the same speed, how far will she drive in 4.5 hours?

A. 94.5 miles B. 135 miles C. 189 miles D. 283.5 miles

1313 If the speed limit along a stretch of highway in Europe is 90 kilometers per hour, what is the approximate speed limit in miles per hour?

F. 45 miles per hour G. 55 miles per hour H. 60 miles per hourI. 65 miles per hour

1414 The histogram shows the results of a 50-item Algebra readiness test taken by seventh graders. How many students had43 or more items correct?

35–3

8

43–4

6

47–5

0

31–3

40

3

Num

ber o

f Stu

dent

s

Number Correct

6

7

8

5

4

2

1

39–4

2

ALGEBRA READINESS TEST

1515 Mr. Thomas and Mrs. Lloyd own plots of land with the dimensions shown.

Mr. Thomas

726 ft 20 ft

30 ft

Mrs. Lloyd

2,178 ft

How many more acres does Mrs. Lloyd own?


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1616 Pablo’s class surveyed the entire seventh grade about the number of siblings each student had. They made a circle graph to present the results.

Which conclusion is NOT supported by the data?

A. As many students had only brothers as had no siblings.

B. About 50% of students in Grade 7 have only brothers or only sisters.

C. More students have brothers than have sisters.

D. About 50% of the student body has at least one sister.

1717 Parallelogram ABCD is a dilation of parallelogram WXYZ.

36

36

4040 10 10

9

9A

B

D

X Y

ZW

C

What scale factor was used to reduce WXYZ to ABCD?

F. 4G. 0.8H. 0.25

I. 0.2

1818 Five bridges in Jacksonville are listed as Notable Bridges of North America. To the nearest whole percent, about how much greater than the shortest span is the longest span?

Jacksonville Bridges

Name of Bridge Main Span (in feet)

Acosta Bridge 630

Dame Point Bridge 1,300

Isaiah D. Hart Bridge 1,088

John E. Matthews Bridge 810

Main Street Bridge 365

1919 When written as a decimal, which rational number is a repeating decimal?

A. -1 3 _ 4

B. 3 _ 8

C. 7 _ 15

D. 5 _ 4

2020 What is the solution of the equation?

8.2x + 1.5 = 21.5 ! 1.8x

F. 2G. 2.5H. 20

I. 25


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2121 The figure below shows the approximate land area and population of Florida.

66,000 sq mi = 1,000,000 people

AREA AND POPULATION OF FLORIDA

Population density is a rate that indicates how crowded an area is. A proportion is used to find population density, or number of persons per square mile.

population

_ area = number of persons

__ 1 square mile

Which of the following best describes the approximate population density of Florida, or persons per square mile?

A. less than 250 B. between 250 and 300C. about 300D. more than 300

2222 In a survey of 500 pharmacy shoppers, 135 had a preference for later hours. If the store estimates that they have 5,000 regular customers, how many can be expected to prefer later hours?

F. 675G. 1,350H. 4,865I. 5,000

2323 A drilling machine can drill through igneous rock at a rate of 1 meter every 155 seconds. Which of the following expressions gives the rate of the drilling machine in terms of yards per second?

A. 1m _ 155 s

! 1 ft _ 3.28 m !

1 yd _ 3 ft

B. 1 m _ 155 s

! 3.28 ft _ 1 m !

1 yd _ 3 ft

C. 1 m _ 155 s

! 1 ft _ 3.28 m !

3 yd _ 1 ft

D. 1 m _ 155 s

! 3.28 ft _ 1 m !

3 yd _ 1 ft

2424 The table shows the record high and record low temperatures in Florida.

Florida Extreme Temperatures

Record High 109°F in Monticello on June 29, 1931

Record Low–2°F in Tallahassee on February 13, 1899

Which expression represents the difference between these extremes?

F. +109 + (-2)G. + 109 - (-2)H. "-2 + 109# I. "109 - 2#


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2525 What is the difference between a positive number, x, and its absolute value?

A. 2xB. -xC. 0D. !2x"

2626 Rectangle ABCD is similar to rectangle WXYZ. If the scale factor used to dilate WXYZ to ABCD is 2, what is the relationship of the perimeters of the two rectangles?

F. The perimeter of ABCD is half the perimeter of WXYZ.

G. The perimeter of ABCD is equal to the perimeter of WXYZ.

H. The perimeter of ABCD is double the perimeter of WXYZ.

I. The perimeter of ABCD is four times the perimeter of WXYZ.

2727 If you roll a pair of number cubes, which of the following outcomes is as likely as a sum of 6?

A. sum of 3B. sum of 8C. sum of 11D. sum of 12

2828 What is the value of the expression?

12 - 3 # (1 - 2.5)

F. -13.5G. -7.5H. 6.5I. 16.5

2929 Quinton went to a car show with two friends. They bought 3 tickets for $12.50 each, 3 T-shirts for $15.00 each, and 3 drinks for $2.00 each. If the total amount spent was split evenly among all 3, which equation could be used to find c, the amount of money each person paid?

A. c = (3 + 15.00 + 2.00)B. c = 3 # (12.50 + 15.00 + 2.00) ÷ 3C. c = 3 # 12.50 + 15.00 + 2.00D. c = (3 # 12.50 + 2.00 + 15.00) ÷ 3

3030 Which of the following is the graph of the solution of 2x + 3 < 7?

F. -4 -2 0 2 4

G. -4 -2 0 2 4

H. -4 -2 0 2 4

I. -4 -2 0 2 4


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3131 Donna and Cristina are planning a party for their mother. Which of the following items will NOT be proportional to the number of guests?

A. the amount of food they needB. the number of party favors neededC. the dimensions of the invitationsD. the cost of the party

3232 Which expression can be used to find the circumference of the circle shown below?

16

F. ( 22 _ 7 ) ! 82

G. 2 ! ( 22 _ 7 ) ! 8

H. 2 ! ( 22 _ 7 ) ! 16

I. ( 22 _ 7 ) ! 8

3333 Kim is conducting a survey about her classmates’ favorite band. Which is the best sample of students to survey?

A. students on her school busB. the first 10 students in classC. students on her volleyball teamD. every tenth student to walk into the

cafeteria

3434 A city planner used a coordinate grid to show the locations of parks in a city.Which ordered pair describes the locationof Elver Park?

2

3

4

5

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7

8

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10

10

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8

7

6

5

4

3

2

1

12345678910 109876543211

City Center

FranklinPark

ElverPark Highland

Park

CityPark

TomasPark

SunsetPark

South

North

West East

El RobePark

F. (6, –3)G. (7, 3)H. (–8, –5)I. (–6, 7)

3535 To select the correct size air conditioning unit, Mario must know the volume of the space to be cooled.

25 ft35 ft

15 ft

60 ft

What is the volume, in cubic feet, of the building shown?


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3636 What is the volume of the air in the following cylinder if it is filled 1 _

4 of the way

with water? Use 3.14 for !.

14 cm

35 cm

A. 21,540.4 cubic centimetersB. 16,155.3 cubic centimetersC. 12,308.8 cubic centimetersD. 5,385.1 cubic centimeters

3737 The Wells family is planning a 250-mile road trip. Which is inversely proportional to the time it will take them to reach their destination?

F. their distance from homeG. their travel speedH. the temperatureI. the number of places they visit

3838 Chef Lopez uses this proportion to find m, the amount of meat, needed to serve p people:

p _

40 = 4 + 2m

_ 10

How many pounds of meat should Chef Lopez buy to serve 250 people?

3939 Correia’s Cookies uses special boxes that are printed and shipped to them flat. What is the surface area, in square inches, of each box?

Scale:1 sq unit = 1 sq in.

4040 If you spin each spinner once, how many possible outcomes are there?

RED

BLUE

ORANGEYELLOW

GREENWHITE6 3

2

4

187

5

A. 14B. 16C. 32D. 48


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4141 What is the median height of the seventh graders whose heights are recorded in the stem-and-leaf plot?

HEIGHTS OF SEVENTH GRADERS

4 7 8 8 9

5 0 1 3 3 5 6 8 9 9

6 0 0 1 1 3 4 5 8

KEY: 5 6 = 56 inches

F. 50G. 53H. 56I. 58

4242 Triangle ABC is similar to triangle EDC. What is the perimeter of triangle EDC?

4852

16

60

4343 Which of the following points is located at (1, –3)?

y

xW

X

Y

ZO

A. point WB. point XC. point YD. point Z

4444 Racecars at the Daytona 500 often exceed 2.5 miles per minute. What does the slope of the line represent?

y

x1 2

246810

3 4 5

F. total distanceG. maximum speedH. starting timeI. speed


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Includes:• 4 pages of NGSSS practice for each chapter of Glencoe Math Connects, Course 2

ISBN: 978-0-07-892854-3MHID: 0-07-892854-0

www.glencoe.com

Chapter Practice for the NGSSS

!LLLLLLLLLL''''''''''11111111111111111111__________GGGGGGGGGG7777777777__________SSSSSSSSSSEEEEEEEEEE__________888888888899999999992222222222888888888855555555554444444444----------0000000000..........iiiiiiiiiinnnnnnnnnndddddddddddddddddddd 2222222222 !LLLLLLLLLL''''''''''11111111111111111111__________GGGGGGGGGG7777777777__________SSSSSSSSSSEEEEEEEEEE__________888888888899999999992222222222888888888855555555554444444444----------0000000000..........iiiiiiiiiinnnnnnnnnndddddddddddddddddddd 22222222224444444444//////////2222222222//////////00000000009999999999 4444444444::::::::::11111111113333333333::::::::::11111111112222222222 PPPPPPPPPPMMMMMMMMMM 4444444444//////////2222222222//////////00000000009999999999 4444444444::::::::::11111111113333333333::::::::::11111111112222222222 PPPPPPPPPPMMMMMMMMMM

Contents

Bii NGSSS Practice, Math Connects, Course 2

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Florida Grade 7 Reference Sheet . . . . . . . . . . . . . . . . . . . . . . . . . Biii

Chapter Practice

Chapter 1 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .B1

Chapter 2 Rational Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . .B5

Chapter 3 Solve Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . .B9

Chapter 4 Proportions and Similarity . . . . . . . . . . . . . . . . . . . . . . . B13

Chapter 5 Linear Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . B17

Chapter 6 Percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . B21

Chapter 7 Data Analysis and Probability . . . . . . . . . . . . . . . . . . . . . B25

Chapter 8 Surface Area and Volume . . . . . . . . . . . . . . . . . . . . . . . B29

Chapter 9 Measurement and Proportional Reasoning . . . . . . . . . . . . . . B33

Chapter 10 Transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . B37

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NGSSS Practice, Math Connects, Course 2 Biii

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Grade 7 Mathematics Reference Sheet

Area KEY

Triangle A = 1 _ 2 bh

Rectangle A = bh

Trapezoid A = 1 _ 2 h(b1 + b2)

Parallelogram A = bh

Circle A = !r

b = base d = diameterh = height r = radius w = width A = area! = slant height B = area of baseS.A. = surface area C = circumferenceL.A. = lateral area V = volume P = perimeter of base

Use 3.14 or 22 _ 7 for !.

CircumferenceC = !d or C = 2!r

Volume/Capacity Total Surface Area

Rectangular Prism

V = bwh S.A. = LA + 2B or 2bh + 2bw + 2hw

Right Circular Cylinder

V = !r 2h S.A. = 2!r h + 2!r 2

Right Square Pyramid

V = 1 _ 3 Bh S.A. = B + 1 _

2 P!

Right Circular Cone

V = 1 _ 3 !r2h

In a polygon, the sum of the measures of the interior angles is equal to 180(n-2), where n represents the number of sides.

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Grade 7 Mathematics Reference Sheet (continued)

Pythagorean Theorem Simple Interest Formula

a

b

c a2 + b2 = c2

I = prt

where p = principal, r = rate, t = time

Slope-intercept form of an equation of an line Distance, Rate, Time Formula

y = mx + bwhere m = slope and b = y-intercept

d = rtwhere d = distance, r = rate, t = time

Conversions within a System of Measure

1 yard = 3 feet 1 mile = 1,760 yards = 5,280 feet1 acre = 43,560 square feet1 minute = 60 seconds 1 hour = 60 minutes1 year = 52 weeks = 365 days

1 liter = 1000 millimeters = 1000 cubic centimeters1 meter = 100 centimeters = 1000 millimeters1 kilometer = 1000 meters1 gram = 1000 milligrams1 kilogram = 1000 grams

1 cup = 8 fluid ounces1 pint = 2 cups1 quart = 2 pints1 gallon = 4 quarts

1 pound = 16 ounces1 ton = 2,000 pounds

Conversions between Systems of Measure

1 inch = 2.54 centimeters 1 cup = 0.24 liters1 foot = 0.305 meters 1 gallon = 3.785 liters1 mile = 1.61 kilometers 1 ounce = 28.35 grams 1 pound = 0.454 kilogramsWhen converting from SI to US Customary, use these approximations.

1 centimeter = 0.39 inches 1 liter = 4.23 cups1 meter = 3.28 feet 1 liter = 0.26 gallons1 kilometer = 0.62 miles 1 gram = 0.035 ounces 1 kilogram = 2.21 pounds

Temperature Conversions between Celsius and Fahrenheit

ºC = (F -32) · 5 _ 9 ºF = C · 9 _

5 + 32

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NGSSS Practice, Math Connects, Course 2 B1

Chapter 1 PracticeIntegers

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11 The number of tickets sold each day for the school concert is shown in the table below. The goal of the ticket committee was to sell 400 tickets.

Concert Ticket Sales

Day of Week Number of Tickets Sold

Monday 56

Tuesday 22

Wednesday 36

Thursday 78

Friday 112

Which statement below is NOT true?

A. The average number of tickets sold each day was greater than 60.

B. Twice as many tickets were sold on Friday as on Monday.

C. The difference between the number of tickets sold during the week and the committee’s goal is a negative integer.

D. More tickets were sold on Friday than on Monday, Tuesday, and Wednesday combined.

[Lesson 1-3] MA. 7.A.3.1

22 What is the value of the expression 5 · 12 - (4 + 12) ÷ 23?

F. –92G. 2.5H. 5.5I. 58

[Fair Game] MA.5.A.6.2

33 Malika’s home is represented by the ordered pair (0, 0) on the coordinate grid below.

y

xO

Supermarket

Home

Zoo

Library

School

Mall

Which ordered pair represents the location of the mall?

A. (2, -3)B. (-2, -3)C. (-3, 2)D. (-3, -2)

[Lesson 1-1] MA.7.G.4.3

44 The San Pedro Underwater Archaeological Preserve in Long Key is the site of the wreckage of the San Pedro, a ship that sank in 1733. Today the San Pedro lies under 18 feet of water. Which expression has a value that represents the depth of the wreckage below sea level?

F. (-9) · (-2)G. 9 · (-2)H. (-36) ÷ (-2)I. -(-36 ) ÷ 2

[Lesson 1-3] MA.7.A.3.1

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B2 NGSSS Practice, Math Connects, Course 2

Chapter 1 Practice (continued)Integers

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55 The odometer of Mr. Burdett’s truck read 56,234 miles before his trip and 56,619 miles after his trip. Which integer represents the change in the odometer reading on Mr. Burdett’s truck?

A. -385B. -234C. 385D. 112,853

[Lesson 1-2] MA.7.A.3.1

66 Elisa owes Carlos $10. She pays him $5. Which model can Elisa use to show how much money she still owes Carlos?

F.

-5-10 1050

G.

-5-10 10 1550

H.

-5-10 1050

I. -5-10 1050

[Lesson 1-2] MA.7.A.3.1

77 Marcelino drew a line through (-2, -2) and (3, 8) on a coordinate grid.

y

xO 1 2 3 4 5 6 7 8

123456

87

2

2

3

3

4

4

5

5

6

6

7

7

8

8

Which two sets of coordinates can Carrie use to draw the same line?

A. (2, -2) and (2, 0)B. (-8, -5) and (2, 0)C. (-5, -10) and (0, 2)D. (-5, -8) and (0, 2)

[Lesson 1-1] MA.7.G.4.3

88 Which integer is equal to the product of -8 and the sum of 5 and -2?

F. -24G. -6H. 6I. 24

[Lesson 1-3] MA.7.A.3.1


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99 Which two integers have a positive quotient and a negative sum?

A. -9 and -3B. -6 and 2C. 5 and 1D. 8 and - 4

[Lesson 1-3] MA.7.A.3.1

1010 Taeko records temperature changes for an experiment for the school science fair. The thermometers below show the temperature of a liquid at 10 a.m. and at 11 a.m.

150140

130100

9080

7060

5040

3020

100

—10

150140

130100

9080

7060

5040

3020

100

—10

10 a.m. 11 a.m.

Which integer represents the change in the temperature from 10 a.m. to 11 a.m.?

F. -81G. -9H. 9I. 81

[Lesson 1-2] MA.7.3.1

1111 Jaime was given $300 to buy supplies for the animal shelter where he works. He bought dog food for $130, a leash for $20, a blanket for $60, 4 dog toys for $4 each, and a collar for $40. Which expression represents the amount of money he has left?

A. 300 - 130 + 20 + 60 - 4 + 2 · 40B. 300 - (130 + 20 + 60 + 4 · 4 + 40)C. 300 - 130 + 20 + 4 · 4 + 40D. 300 - 130 - 20 - 60 + 4 · 4 - 40

[Lesson 1-2] MA.7.A.3.1

1212 Which equation is best represented on the number line below?

-10 0-1-2-3-4-5-9 -8 -7 -6

-2-2-2-2

F. -8 - -4 = -4G. -8 · 2 = -16H. -2 + -8 = -10I. -2 · 4 = -8

[Lesson 1-3] MA.7.A.3.1

1313 Which pair of coordinates describes a point in the second quadrant of a coordinate grid?

A. (2, 3)B. (-2, 3)C. (2, -3)D. (-2, -3)

[Lesson 1-1] MA.7.G.4.3


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1414 Wood storks are an endangered species found in Everglades National Park. During breeding season, a pair of wood storks needs 440 pounds of fish to feed themselves and their young. A wildlife rescue hospital provides the wood storks with 300 pounds of fish every day. Which expression represents the number of pounds of fish they still need?

F. 440 - 300G. 300 + 440H. 300 - 140I. 300 + 140

[Lesson 1-2] MA.7.A.3.1

1515 Pam recorded the average daily temperature for five days. She also listed the change in the average temperature from the previous day.

AverageTemperature

65°F69°F72°F68°F70°F69°F

Change fromYesterday

Which set of integers correctly completes the Change from Yesterday column?

A. +4, +3, +4, +2, +1B. +4, +3, -4, +2, +1C. +4, +3, -4, +2, -1D. +4, -3, -4, +2, -1

[Lesson 1-1] MA.7.A.3.1

1616 The Parks and Recreation Department uses a coordinate grid to show the locations of all the parks that it maintains in the city. Which park is located at (6, -3)?

1

2

3

4

5

6

7

8

9

10

10

9

8

7

6

5

4

3

2

1

12345678910 10987654321

City Center

FranklinPark

ElverPark

HighlandPark

CityPark

TomasPark

South

North

West East

El RobePark

F. City ParkG. El Robe ParkH. Franklin ParkI. Tomas Park

[Lesson 1-1] MA.7.G.4.3

1717 Which expression has the same value as - !-3" · !5" ?

A. -3 · (-5)B. 3 · 5C. -3 · 5D. -(-3 · 5)

[Lesson 1-3] MA.7.A.3.1


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Chapter 2 PracticeRational Numbers

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11 What decimal is equivalent to 701 _ 1,000

?

[Lesson 2-1] MA.7.A.5.1

22 Space shuttles are assembled, or “stacked,” in the Vehicle Assembly Building (VAB) at the Kennedy Space Center on Cape Canaveral.

525 ft.305 ft.

Which of the following statements best compares the height of the Statue of Liberty and the height of the VAB?

A. The VAB is less than 1 _ 2 as high as the

Statue of Liberty.B. The VAB is more than 1 _

2 and less than 3 _

5

as high as the Statue of Liberty.C. The Statue of Liberty is less than 1 _

2 the

height of the VAB.D. The Statue of Liberty is more than 1 _

2 and

less than 3 _ 5 the height of the VAB.

[Lesson 2-3] MA.7.A.3.2

33 How many times greater than the sum of 1 3 _ 4

and 2 1 _ 2 is the sum of 5 1 _

4 and 7 1 _

2 ?

F. 2 times

G. 2 1 _ 2 times

H. 3 times

I. 4 1 _ 2 times

[Lesson 2-3] MA.7.A.3.2

44 Mr. Suarez recorded the reading on his car’s fuel gauge before and after driving Carli and her friends to a school game. The readings were 1 _

2 tank and 1 _

8 tank, respectively.

Before Game After Game

What fraction of a tank of gas did Mr. Suarez use?

-

[Lesson 2-2] MA.7.A.3.2


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Chapter 2 Practice (continued)Rational Numbers

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55 Which model shows 1 _ 2 ! 1 _

4 ?

A.

B.

C.

D.

[Lesson 2-3] MA.7.A.3.2

66 Sara completed 3 _ 8 of her project on Monday

and 1 _ 4 of the project on Tuesday. How much

of her project is incomplete?

F. 1 _ 8

G. 3 _ 8

H. 5 _ 8

I. 3 _ 4

[Lesson 2-2] MA.7.A.3.2

77 The population of Florida is about 3 _ 50

of the population of the entire United States. Which decimal is equivalent to 3 _

50 ?

A. 0.06B. 0.6C. 6.0D. 16.66

[Lesson 2-1] MA.7.A.5.1

88 The Pep Club is raising money for the school athletic teams. Their goal is to raise $5,000.

In one week, they raised 2 _ 5 of their goal. At

that rate, for how many more weeks must they run the drive?

F. 1 1 _ 2

G. 2

H. 2 1 _ 2

I. 3

[Lesson 2-2] MA.7.A.3.2

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99 In terms of surface area, Lake Okeechobee is the second largest freshwater lake that is wholly within the continental United States.

Largest Freshwater Lakes in Continental U.S.

Lake Surface Area (in square miles)

Lake Michigan 22,400

Lake Okeechobee

Lake Pontchartrain 630

Lake Okeechobee is about 1 _ 32

the size of Lake Michigan. What is Lake Okeechobee’s approximate surface area?

A. 192 square milesB. 610 square milesC. 700 square milesD. 5,600 square miles

[Lesson 2-3] MA.7.A.3.2

1010 What is the value of the expression below?

( 2 _ 3 ) 3 ! 9

F. 2 _ 3

G. 8 _ 3

H. 24

I. 48

[Lesson 2-3] MA.7.A.3.2

1111 Lindsey picked 1 1 _ 2 bushels of Florida

oranges. Lindsey and two of her friends will share the oranges equally. What fraction of a bushel of oranges will each person receive?

-

[Lesson 2-3] MA.7.A.3.2

1212 María graphed "1.21 and "1.45 on the number line below.

-2 -1 0

Which of the following numbers is between "1.21 and "1.45?

A. "1 7 _ 9

B. "1 24 _ 50

C. "1 3 _ 8

D. "1 1 _ 6

[Lesson 2-1] MA.7.A.5.1


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1313 The costume committee is making costumes for the school play.

Costumes and Fabric Needed

Fabric onHand

6 cheerleaders, 1 yds each 34

6 yds12

Which expression can they use to find the number of cheerleader costumes they can make with the amount of fabric they already have?

F. 6 1 _ 2 ÷ 1 3 _

4

G. 1 3 _ 4 ÷ 6 1 _

2

H. 1 3 _ 4 + 6 1 _

2

I. 6 1 _ 2 ! 1 3 _

4

[Lesson 2-3] MA.7.A.3.2

1414 Amanda’s goal is to walk 4 1 _ 2 miles each day.

The park near her house has a path that is 3 _ 4 of a mile long. How many times must

Amanda walk around the park to reach her goal?

A. 3 timesB. 4 timesC. 6 timesD. 8 times

[Lesson 2-3] MA.7. A.3.2

1515 The set of blocks shown is a model of a three-floor apartment building. The penthouse takes up the whole of the top floor.

What fraction of the whole building is the penthouse?

F. 1 _ 8

G. 1 _ 7

H. 1 _ 3

I. 1 _ 2


1616 The Ruiz family is planning a trip by car, first to Orlando, then to Miami, and finally to Key West. When they reach Miami they estimate that they have traveled about 4 _ 5 of the distance from Pensacola to

Key West.

Driving DistancesPensacola to Orlando 450 miles

Orlando to Miami 234 miles

Miami to Key West

About how many miles is the total trip from Pensacola to Key West?

A. 547 milesB. 563 miles C. 684 milesD. 855 miles

[Lesson 2-3] MA.7.A.3.2


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Chapter 3 PracticeLinear Equations

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11 The population of Florida was approximately 10 million people in 1980. Suppose every decade after that the population grew by 3 million. At this rate, which expression can be used to find the population of Florida n decades after 1980?

A. 10 + 3nB. 3 + 10nC. 10 + 0.3n D. 3 + 0.1n


22 Marty is buying snacks for he and his friends. He buys a bag of pretzels for $5. Then he buys 6 fruit smoothies. If he spent a total of $20 buying snacks, then what was the price of a fruit smoothie?

F. $0G. $2.50H. $5.00I. $12.50

[Lesson 3-3] MA.7.A.3.3

33 What is the value of p in the equation below?

p _

8 + 4 = 260

A. p = 32 B. p = 64C. p = 1,048D. p = 2,048

[Lesson 3-3] MA.7.A.3.3

44 Michah uses the equation below to calculate the gallons of gasoline, g, he needs to ride his scooter for m miles.

g = 1 _ 50

m

How far could the scooter go on 25 gallons of gasoline?

F. 50 milesG. 75 milesH. 1,250 milesI. 1,500 miles

[Lesson 3-2] MA.7.A.3.3

55 The table below shows taxicab fares.

Taxicab FaresDistance (in miles) Cost

0 $4.00

1 $4.50

2 $5.00

3 $5.50

4 $6.00

5 $6.50

According to the table, the cost c of ann-mile ride is given by the equationc = 4.00 + 0.50n. What is the cost of a26-mile ride?

A. $7.00B. $13.00C. $17.00D. $33.00

[Lesson 3-3] MA.7.A.3.3


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Chapter 3 Practice (continued)Linear Equations

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66 What is the value of k in the equation below?

1 _ 5 k = 225

F. k = 45G. k = 230H. k = 1,125I. k = 1,500

[Lesson 3-2] MA.7.A.3.3

77 At the start of each semester Josh gets an allowance to buy lunch. Each week, he spends $20.75. After 6 weeks he has spent half of his money. How much is his allowance, in dollars?

[Lesson 3-1] MA.7.A.5.2

88 What is another way to express the equation3x + 6 = 10x - 8?

A. x = 2 _ 7

B. x = 2C. x = -1

D. x = 2 _ 9

[Lesson 3-3] MA.7.A.3.4

99 Bailey had some video games. During a big sale, she used her allowance to double the number of her video games. Then she divided the games into three categories: fantasy, strategy, and sports. There were 8 games in each category. How many video games did Bailey own before the big sale?

F. 4G. 6H. 8I. 12

[Lesson 3-1] MA.7.A.5.2

1010 Jeb needs $120 to fix his car. He has $65. Suppose Jeb earns $5 an hour mowing lawns. Which equation can be used to find the number of hours, h, Jeb must work to earn the difference?

A. 5h + 65 = 120B. 120 + 65 = 5hC. 120 + 5h = 65D. 65h + 5h = 120

[Lesson 3-3] MA.7.A.3.3

1111 Sara read 13 books during the first half of the year. In the second half of the year, she read the same number of books each month. She read 31 books in all. How many books per month did she read in the second half of the year?

F. 3G. 8H. 5I. 18

[Lesson 3-3] MA.7.A.3.3


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1212 The time it takes an elevator to travel from the ground floor is shown in the table below.

Elevator Travel TimeFloor Time (in seconds) 3th 3.75

5th 6.25

10th 12.50

15th 18.75

18th

How long will it take the elevator to get from the ground floor to the 18th floor, in seconds?

-

[Lesson 3-3] MA.7.A.3.3

1313 What is the solution to the equation below?

-4x + 18 = 26

A. x = -11B. x = -4C. x = 2D. x = 4

[Lesson 3-3] MA.7.A.3.3

1414 Which equation is equivalent to

1 _ 4 t + 5 = 3 _

4 t - 2?

F. 1 _ 4 t + 5 + 3 _ 4 t - 2 = 0

G. 1 _ 4 t + 3 _ 4 t = 5 - 2

H. 5 - 2 = 3 _ 4 t + 1 _

4 t

I. 5 + 2 = 3 _ 4 t - 1 _

4 t

[Lesson 3-3] MA.7.A.3.4

1515 The table below shows a relationship between p and q.

p q0 -3

3 21

6 45

9 69

12 93

Which equation is true for each of the ordered pairs in the table?

A. q = 7pB. q = 8p - 3C. q = p - 3D. q = 7p + 3

[Lesson 3-3] MA.7.A.3.3

1616 What is the solution to the equation below?

2 _ 3 h - 6 = 18

F. h = 8G. h = 16H. h = 18I. h = 36

[Lesson 3-3] MA.7.A.3.3


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1717 Kendra learns that, on average, about 1,000 people move to Florida every day. She writes the formula below to project the number of people, p, that move to Florida over an x-day period.

p = 1,000x

According to her formula, how many days would it take for 30,000 people to move to Florida?

-

[Lesson 3-2] MA.7.A.3.3

1818 What is the value of x in the equation below?

x _ 8 + 3 = 11

A. x = 0B. x = 8C. x = 32D. x = 64

[Lesson 3-3] MA.7.A.3.3

1919 Which table best demonstrates the relationship between t and s in theequation g = -4s + 5?

F. s 0 2 4 6 8g 5 -3 -11 -19 -27

G. s 2 1 0 -1 -2g -8 -4 0 4 8

H. s 0 1 2 3 4g 5 9 13 17 21

I. s 5 1 -3 -7 -11g 0 1 2 3 4

[Lesson 3-3] MA.7.A.3.3

2020 Apples are on sale for 2 pounds for $3.50. What is the total cost for 8 pounds of apples, in dollars?

-

[Lesson 3-2] MA.7.A.3.3


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Chapter 4 PracticeProportions and Similarity


11 The aspect ratio of a rectangular image is the ratio of the longer dimension to the shorter dimension. The table shows some common print sizes for still photography in the United States.

Common Print SizesDimensions

(inches) Aspect Ratio

4 ! 6 6 : 4

4 ! 5 5 : 4

5 ! 7 7 : 5

8 ! 10 10 : 8

Which two print sizes have equivalentaspect ratios?

A. 4 ! 6 and 4 ! 5B. 4 ! 6 and 8 ! 10C. 4 ! 5 and 5 ! 7D. 4 ! 5 and 8 ! 10


22 During a recent year, about 36,000,000 passengers passed through Orlando International Airport. The ratio of passengers passing through the Fort Lauderdale Airport to passengers passing through Orlando International Airport was 11 : 18. About how many passengers passed through the Fort Lauderdale airport?

F. 6.48 millionG. 22 millionH. 24 millionI. 58.9 million

[Lesson 4-1] MA.7.A.1.1

33 Maxine and Lara are drawing a map of Florida with a scale of 1 inch : 50 miles.

FLORID

A

400 miles

500 miles

If they make the North-South dimension of their map 10 inches long, how many inches wide should it be?

[Lesson 4-2] MA.7.A.1.6

44 Last year, the ratio of Steve’s height to his brother’s height was 2 : 1. During this past year, each of them grew 6 inches. Which of the following describes the ratio of their heights now?

A. The ratio is still 2 : 1.B. The ratio is greater than 2 : 1.C. The ratio is less than 2 : 1.D. The ratio is 3 : 2.

[Lesson 4-1] MA.7.A.1.6


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Chapter 4 Practice (continued)Proportions and Similarity

55 Although circles are not polygons, they can be considered to be similar figures.

r

d

R

D

If c represents the circumference of the smaller circle and C represents the circumference of the larger circle, which of the following is NOT true?

F. c _ d = C _

D

G. c _ r = C _ R

H. R _ r = C _ c

I. R _ d = c _

C

[Lesson 4-3] MA.7.A.1.3

66 What is the value for x in the proportion shown?

x _ 2.7

= 5 _ 18

[Lesson 4-1] MA.7.A.1.1

77 Carrie’s class is making a scale model of the Florida Historic Capitol. The class decides to use a scale of 1 inch = 5 feet.

136 ft

In the model, which of the following will NOT be proportional to the rest of the building?

A. length of the buildingB. the number of stairs C. the dimensions of the windowsD. the diameter of the dome

[Lesson 4-1] MA.7.A.1.1

88 Lupe wants to know which size of his favorite cereal is the most economical.

Cereal SizesPackage Weight

(ounces) Price Each

6 5 for $1.50

10 2 for $2.35

18 $4.50

30 $6.80

Which size package, and how many, should Lupe buy?

F. five 6-ounce packagesG. two 10-ounce packagesH. one 18-ounce packageI. one 30-ounce package

[Lesson 4-1] MA.7.A.1.6


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99 Mrs. Montoya’s car used 16 gallons of gas for the drive from Tallahassee to Miami. The odometers below show the number of miles on the car before and after her trip.

About how many gallons of gas will she need to drive 235 miles from Miami to Orlando?

A. 6 gallonsB. 8 gallonsC. 10 gallonsD. 12 gallons

[Lesson 4-1] MA.7.A.1.1

1010 Two parallelograms are similar. The ratio of their areas is 16 _

25 . What is the ratio of their

perimeters?

F. 5 _ 6

G. 4 _ 5

H. 16 _ 25

I. 256 _ 625

[Lesson 4-3] MA.7.G.4.1

1111 Bananas are on sale this week for 5 pounds for $3.00. Last week they cost $0.75 per pound. What is the savings per pound?

[Lesson 4-1] MA.7.A.1.6

1212 Triangle ABC is similar to triangle PQR.

Which of the proportions is NOT true?

A. AB _ PQ

= AC _ PR

B. AB _ BC

= PR _ QR

C. AB _ PQ

= Perimeter of !ABC __ Perimeter of !PQR

D BC _

QR = Area of !ABC __

Area of !PQR

[Lesson 4-3] MA.7.A.1.3


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1313 A map shows the following scale.

0

1 inch: 200 miles

200 miles

What distance is represented by 2 1 __ 4 inches on the map?

F. 0.001 milesG. 40.50 milesH. 450 miles I. 4,500 miles

[Lesson 4-2] MA.7.A.1.6

1414 Triangle ABC is similar to triangle XYZ.

20 cm

15 cm

10 cm

10 cm

What is the perimeter of triangle ABC?

[Lesson 4-3] MA.7.A.1.3

1515 The steps that Ella used to solve a proportion are shown below.

=

=

0.5 = x

2 .5x

2(2 .5) = 10x

102

2(2 .5)10

10x10

Which of the following did Ella NOT use to solve the proportion?

A. The Addition Property of Equality B. The Cross Products of a ProportionC. The Division Property of EqualityD. In a proportion, the product of the means

equals the product of the extremes.

[Lesson 4-1] MA.7.A.1.1

1616 Florida has 25 delegates to the United States House of Representatives. During a recent year, the ratio of representatives to people living in Florida was about 1 : 730,000. About how many people lived in Floridathat year?

F. 18,250,000G. 29,000,000H. 118,250,000I. 292,000,000

[Lesson 4-1] MA.7.A.1.1


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Chapter 5 PracticeLinear Functions

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11 The American crocodile is found in the swamplands of Southern Florida. Crocodiles can move quickly on land for short periods of time. Typically, crocodiles can reach speeds of 12 to 14 kilometers per hour. The graph shows the relationship between time and the distance that a crocodile can move.

y

x

4

1 2 3 4 5 6

8

12

16

20

Dist

ance

(in

met

ers)

Time (in seconds)

CROCODILE LAND SPEED

On the graph, what represents the speed of a crocodile?

A. the y-interceptB. the x-interceptC. the slope of the line D. the length of the line

[Lesson 5-2] MA.7.A.1.4

22 Easy Songs charges $1 for each song that subscribers download. Carla is graphing the cost of downloading x songs. What will be the slope of the graph?

F. 1G. xH. -1I. -x

[Lesson 5-2] MA.7.A.1.4

33 The function machine shown is broken.

Input

Output

! -

=

What value should the machine show as the output for x = -6?

A. -13B. -6C. 6D. 11

[Lesson 5-1] MA.7.A.1.4

44 Popular Games makes a profit of $10 on each game they sell. They agreed to donate $2 of the profit for each game they sold during one week to a hurricane relief fund. If x represents the number of games they sold that week, which function rule, f(x), describes the amount of money they made after the donation?

F. f(x) = 2 - 10xG. f(x) = (10 - 2)xH. f(x) = 2 + 10xI. f(x) = 10(2x)

[Lesson 5-1] MA.7.A.1.4

B17_B20_NGSSS_G7C5_892854.indd Page 17 4/8/09 11:17:11 PM u-s008B17_B20_NGSSS_G7C5_892854.indd Page 17 4/8/09 11:17:11 PM u-s008 /Volumes/118/GO00281/NGSSG%0/NGSSG_6_8/Application_Files_XXXXXX/grade07/Ch05/Volumes/118/GO00281/NGSSG%0/NGSSG_6_8/Application_Files_XXXXXX/grade07/Ch05

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Chapter 5 Practice (continued)Linear Functions

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55 What are the coordinates of the point where the graph of the line y = 2x + 1 intersects with the line x = 3?

A. (3, 7)B. (7, 3)C. (4, 3)D. (3, 4)

[Lesson 5-2] MA.7.A.1.4

66 What is the slope of the line shown?

O

1234

y

x21 43-2-3-4-2-3-4

F. -2

G. - 1 _ 2

H. 1 _ 2

I. 2

[Lesson 5-2] MA.7.A.1.4

77 Which statement is NOT true about the graph of y = -1?

A. It is a horizontal line.B. It is a vertical line.C. The slope is zero.D. It is below the x-axis.

[Lesson 5-2] MA.7.A.1.4

88 At each baseball game that she attends, Kiara keeps a list that matches the number on the uniform for each batter with the number of the opposing pitcher.

BatterNumber (b)

122314

PitcherNumber (p)

6617

BATTERS AND PITCHERS

Does the pairing of the batter numbers and the pitcher numbers (b, p) describe a function? Why or why not?

F. Yes, it is a function because there is only one pitcher at a time.

G. Yes, it is a function because each batter has only one number.

H. No, it is not a function because a batter can face a different pitcher for each time at bat.

I. No, it is not a function because a pitcher usually throws to more than one batter.

[Lesson 5-1] MA.7.A.1.4

99 Which equation does NOT describe a direct variation?

A. y = 2x

B. x1 _ y1

= 2 _ 3

C. xy = 1.5

D. x _ y - 2 _ 3 = 0

[Lesson 5-3] MA.7.A.1.5


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1010 The Roger Dean Stadium in Jupiter is the site of spring training for the Florida Marlins. The seventh grade math class is building a scale model of the stadium on a library table.

Which of the following relationships describes an inverse variation?

F. the length of each side of the baseball diamond and the perimeter of the baseball diamond on the scale model

G. the number of seats in the stadium and the number of seats in the scale model

H. the area of the model and the amount of space left on the table for landscaping

I. the area of the baseball diamond and the total area of the stadium

[Lesson 5-3] MA.7.A.1.5

1111 What are the coordinates of the point on the graph of y = -3x + 1 with a value of 5 for x?

A. (5, -14)B. (5, -18)C. (5, 14)D. (5, 18)

[Lesson 5-2] MA.7.A.1.4

1212 Acqua Sports rents water skis by the hour. Roger is making a line graph to show customers how the cost of renting a pair of water skis will change depending upon the number of hours they have the skis.

What will be the slope of the line after the initial 2-hour rental?

F. -10G. -2H. 2I. 10

[Lesson 5-2] MA.7.A.1.4

1313 What is the slope of the line shown?

O

-2-3-4

21 43-2-3-4

1234

y

x

A. -2

B. - 1 _ 2

C. 1 _ 2

D. 2

[Lesson 5-2] MA.7.A.1.2


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1414 The table shows the relationship between x and y for a linear function. What will be the slope of the graph of this function?

x 5 6 7 8

y 1 -1 -3 -5

F. -2

G. - 1 _ 2

H. 1 _ 2

I. 2

[Lesson 5-2] MA.7.A.1.4

1515 Does the function shown represent a direct or an inverse variation? How do you know?

12345

510152025

Domain Range

A. It is direct variation because each number in the domain is paired with only one in the range.

B. It is direct variation because the rate of increase in the range is constant.

C. It is inverse variation because both quantities increase.

D. It is inverse variation because the range does not start with 0.

[Lesson 5-3] MA.7.A.1.5

1616 Which of the following would you NOT expect to be true of a direct variation?

F. As one quantity increases, the other decreases.

G. The rate of increase remains the same.H. The rate of decrease remains the same.I. The ratio of the quantities is always the

same.

[Lesson 5-3] MA.7.A.1.5

1717 Which function rule describes the relationship in the table below?

Input (x) 1 3 5 7

Output (y) 2 10 18 26

A. Add 4 to the input value and then multiply this sum by 2.

B. Subtract 2 from the input value and then multiply this difference by 4.

C. Multiply the input value by 4 and then add 2 to this product.

D. Subtract 2 from the product of 4 and the input value.


1818 Which of the following is the equation of a line with a slope of -2?

F. y + 2x = 5G. 2y = 2x - 5H. 2y = x + 1I. y = x + 2

[Lesson 5-2] MA.7.A.1.4


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Chapter 6 PracticePercents

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11 The state of Florida has a total area of 58,560 square miles, of which4,308 square miles are covered by water. Which equation can you NOT use to find p, the percent of the area of Florida that is covered by water?

A. 0.01p = 4,308 ÷ 58,560

B. p = 4,308 _

58,560 ! 100

C. 4,308

_ 58,560

= p _

100

D. 100 ! 58,560 = 4,308p

[Lesson 6-2] MA.7.A.1.2

22 The principal of Carlo’s school is considering a proposal for a later school schedule. Carlo surveyed his classmates about their preferences regarding the later schedule.

Survey ResultsFor a later schedule 90

Against a later schedule 45

No opinion 15

What percent of the students that he surveyed were in favor of a later schedule?

F. 60%G. 67%H. 75%I. 80%

[Lesson 6-1] MA.7.A.1.2

33 The results of the voting for the office of student council president are shown in the circle graph.

If 540 students voted, how many students did NOT vote for the winner of the election?

[Lesson 6-1] MA.7.A.1.2


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Chapter 6 Practice (continued)Percents

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44 The smallest post office in the country is located in Ochopee. It services 11 people in Collier County. The total population of Collier County is about 316,000 people. Which choice best describes the percent of Collier County served by this post office?

A. between 0.01% and 0.1%B. between 0.001% and 0.01%C. between 0.0001% and 0.001%D. between 0.00001% and 0.0001%

[Lesson 6-1] MA.7.A.1.2

55 Approximately what percent of the large square is shaded?

F. 31%G. 67%H. 79%I. 85%

[Lesson 6-1] MA.7.A.1.2

66 The Pep Club raised $2,240 for athletic programs. If their goal was to raise $2,000, what percent of their goal did the Pep Club raise?

A. 89%B. 98%C. 108%D. 112%

[Lesson 6-2] MA.7.A.1.2

77 Six of the eight fish Gus caught were sunfish, and 65% of Darien’s catch were also sunfish. Eight of the ten fish Crystal caught were sunfish, and 0.7 of Brendan’s catch were sunfish. The greatest part of which angler’s catch were sunfish?

F. Brendan H. DarienG. Crystal I. Gus


88 Masako bought a calculator, four notebooks, and a video game on sale.

$18$24

$33$40

75¢ Each

$2 each

1 2 3

M+

M–

+

–

÷

0 . =

4 5 6

7 8 9

SMCE

MRC

%

!

"ONC

Without the sale, the calculator costs $24, the video game costs $40, and the notebooks cost $2 each. What percent did she save on her total purchase?

[Lesson 6-3] MA.7.A.1.2


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99 Many different kinds of crocodiles can be found at the Alligator Farm in St. Augustine. The table shows the length, in feet, of a typical adult male of each species.

Crocodiles at the Alligator Farm

Species Length (ft)

American crocodile 16

Cuban crocodile 11

Johnston’s crocodile 6

Morelet’s crocodile 10

Mugger crocodile 16

Nile crocodile 20

Orinoco crocodile 20

Siamese crocodile 13

The length of the American crocodile is about what percent of the average length of these eight species?

A. 88%B. 98%C. 104%D. 114%

[Lesson 6-1] MA.7.A.1.2

1010 The state of Florida has a 6% sales tax. Corey buys an electronic game on sale for 20% off the regular price of $110. What is the total cost of the game, including tax?

F. $81.40G. $88.00H. $91.64I. $93.28

[Lesson 6-3] MA.7.A.1.2

1111 The design for the Florida state flag is described in The 2006 Florida Statutes Title 4 Chapter 15. The width of each red bar should be 20% of the hoist. The hoist of a standard flag is usually 60% of the length.

hoist

w

length

What is w, the width in inches of each red bar, on a 60-inch length Florida flag?

[Lesson 6-1] MA.7.A.1.2

1212 Jason is buying a coat with a price of $80. As an employee of the store, he receives a discount and pays $64. How much of a discount does he get?

A. 8%B. 10%C. 16%D. 20%

[Lesson 6-2] MA.7.A.1.2


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1313 Students in the seventh grade at the Kennedy Middle School raised $1,200 during the first 3 weeks of a 4-week fund drive to help hurricane victims. The bar graph shows the amount raised by each class during the first 3 weeks.

$400

$300

$0

$200

$100

$500

$600

Mr.Hernandez

Mrs.LaChance

MissSuarez

Mr.Fortuna

FUND FOR HURRICANE VICTIMS

Marta wrote the following proportion to solve a problem for her class.

15 _ 100

= x _ 1,200

For which of the following problems is the value of x the solution?

F. Which class raised 15% of the total?G. Which class raised 15% more than

Mr. Fortuna’s class?H. If the students raised 15% of the total

during Week 1, how much did they raise that week?

I. If the students raise 15% more money during Week 4, how much will they have raised?

[Lesson 6-2] MA.7.A.1.2

1414 Mr. Marston plans to invest $2,000 in a plan that pays 5% simple interest each year. Which equation can he NOT use to find x, the amount of interest that his money will earn in one year?

A. x = 2,000 ! 0.05 ! 1

B. 2,000 = 0.05x

C. x = 1 _ 20

! 2,000

D. x _ 2,000 = 5 _ 100

[Lesson 6-3] MA.7.A.1.2

1515 The School Board is reviewing plans for three new buildings. The grid below represents the available land.

8 in.

6 in.

5 in.Sports

Complex

HighSchool

7 in.

8 in.

3 in.

MiddleSchool

What percent of the available land will be used for the 3 buildings?

[Lesson 6-1] MA.7.A.1.2


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Chapter 7 PracticeData Analysis and Probability

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11 Which outcome is the most likely to occur when spinning the two spinners below?

4 5

68

10

A B

CD

E

A. an even number and a consonantB. an even number and a vowelC. an odd number and a consonantD. an odd number and a vowel

[Lesson 7-2] MA.7.P.7.1

22 Madison is training for a race. The table below shows her training log.

Madison’s Training

Date Miles Ran

March 2 6

March 4 4

March 6 7

March 8 4

March 10 8

What is the median of the data?

F. 6 milesG. 5.8 milesH. 4 milesI. 2 miles

[Fair Game] MA.6.S.6.1

33 This year, Rosa harvested 60 cucumbers, 25 tomatoes, and 15 peppers from her garden. In a circle graph of this data, what angle measure (in degrees) should Rosa use for the peppers section?

[Lesson 7-1] MA.7.S.6.2

44 Kirk is planning a trip to Florida. He writes down the names of places he would like to visit on the six cards below and places them in a bag.

He randomly picks one card from the bag. Then, without replacing the first card, he randomly picks a second card. What is the probability that the first city is Orlando and the second city has 5 letters in its name?

A. 1 _ 6

B. 1 _ 15

C. 1 _ 18

D. 1 _ 36

[Lesson 7-3] MA.7.P.7.2


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Chapter 7 Practice (continued)Data Analysis and Probability

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55 The Bailey-Matthews Shell Museum in Sanibel has a special collection of shells from the beaches in southwest Florida. The maximum shell sizes, in millimeters, for a family of shells from this region are shown in the table below.

Family Mytilidae

Species Size (mm)Amygdalum papyrium 40

Botula fusca 18

Brachidontes cf. exustus 25

Geukensia granosissima 75

Ischadium recurvum 50

Lioberus castaneus 20

Modiolus americanus 100

Modiolus squamosus 65

Musculus lateralis 9

Felipe plans to make a stem-and-leaf plot of this data. Which list of stems should he use in the plot?

F. 0, 5, 8, 9G. 0, 0, 0, 0, 5, 5, 5, 8, 9H. 1, 2, 3, 4, 5, 6, 7, 8, 9I. 0, 1, 2, 4, 5, 6, 7, 10

[Lesson 7-1] MA.7.S.6.2

66 Soo Jin tosses a coin three times. How many possible outcomes are there?

A. 4B. 6C. 8D. 10

[Lesson 7-2] MA.7.P.7.1

77 Which histogram correctly displays the donations listed below?

$15, $18, $26, $24, $22, $25, $15, $18, $21, $28, $32, $16, $22, $30, $26, $29

F.

$15 to$19

$20 to$24

$25 to$29

$30 to$34

2

3

1

0

4

Num

ber o

f Don

atio

ns

5

Donation Amount

DONATIONS RECEIVED

G.

$15 to$19

$20 to$24

$25 to$29

$30 to$34

2

3

1

0

4

Num

ber o

f Don

atio

ns5

Donation Amount

DONATIONS RECEIVED

H.

$15 to$19

$20 to$24

$25 to$29

$30 to$34

2

3

1

0

4

Num

ber o

f Don

atio

ns

5

Donation Amount

DONATIONS RECEIVED

I.

$15 to$19

$20 to$24

$25 to$29

$30 to$34

2

3

1

0

4

Num

ber o

f Don

atio

ns

5

Donation Amount

DONATIONS RECEIVED

[Lesson 7-1] MA.7.S.6.2


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88 The table below shows the results of a survey of the types of vehicles that pass through an intersection.

Vehicles Passing Through an Intersection

Type Number of Vehicles

SUV 2

Minivan 8

Hatchback 7

Sedan 13

Truck 10

Based on these results, what is the probability that the next vehicle passing through the intersection will be a minivan?

A. 8%B. 16%C. 20%D. 25%

[Lesson 7-3] MA.7.P.7.2

99 Samantha rolls a number cube two times. What is the probability that she will roll the same number twice?

F. 1 _ 1,260

G. 1 _ 36

H. 1 _ 18

I. 1 _ 6

[Lesson 7-3] MA.7.P.7.2

1010 There are about 300 bears living in a protected area. A scientist wants to tag and observe a sample of bears to determine whether the population is thriving in the area. Which is the best sampling method for the scientist to use?

A. On a sunny afternoon, tag every bear that visits the river in the protected area.

B. Randomly select and tag 8 bears.C. Locate a den in the protected area, and

tag each bear in the den.D. Tag 30 bears from several different parts

of the protected area.

[Lesson 7-3] MA.7.S.6.1

1111 The contents of a bag of cubes are shown in the table below.

Contents of BagColor Number of Cubes

Yellow 8

Red 7

Blue 2

Purple 5

Orange 9

Green 10

Joe reaches in the bag and randomly selects a cube. Which color is Joe least likely to pick?

F. BlueG. PurpleH. GreenI. Orange

[Lesson 7-2] MA.7.P.7.1


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1212 Carter plans to use a spinner to simulate the possible outcomes when people are given a choice of 7 colors to pick from a display of shirts in a catalogue. Which spinner allows Carter to perform a fair experiment?

A. 2 2

3

44 3

1

B. 2 3

4

67 5

1

C. 3

4

67 5

12

D. 2 7

7

22

7

2

[Lesson 7-2] MA.7.P.7.1

1313 Brett rolls a number cube labeled from 1 to 6 and tosses a penny at the same time. What is the probability that he will roll an even number and toss heads?

F. 0.25G. 0.33H. 0.5I. 0.66

[Lesson 7-3] MA.7.P.7.2

1414 In a random survey of 50 students at Bryson Middle School, 14 students said that they were involved in an afterschool activity. There are 400 students at the school. Which generalization could be made based on this information?

A. If a student is selected at random, there is a 28% chance that he or she is involved in an afterschool activity.

B. If a student is selected at random, there is an 82% chance that he or she is involved in an afterschool activity.

C. There are probably 200 students at the school who are involved in an afterschool activity.

D. It is extremely likely that a student selected at random is involved in an afterschool activity.

[Lesson 7-3] MA.7.S.6.1

1515 According to the circle graph below, what percent of students in gym class prefer balance as an attribute?

PREFERRED ATTRIBUTE OFSTUDENTS IN GYM CLASS

F. 15%G. 20%H. 30%I. 45%

[Lesson 7-1] MA.7.S.6.2


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Chapter 8 PracticeSurface Area and Volume

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11 What is the surface area of the cylinder in the diagram below, in square centimeters? Use 3.14 for !.

10 cm

20 cm

[Lesson 8-2] MA.7.G.2.1

22 Which expression would determine the difference in volume of the solids?

32 cm32 cm

14 cm

14 cm

14 cm

A. (32) (7)2 - (32) (7)2 !B. (32)2 (7) - (32) (7)2 !C. (32) (14)2 - (32) (7)2 !D. (32) (14)2 - (32) (14)2 !

[Lesson 8-1] MA.7.G.2.1

33 The rectangular prism below measures 4 inches by 6 inches by h inches.

h

4 in.6 in.

If the surface area is 308 square inches, what is the height, h, of the prism?

F. 11 5_ 6

inches

G. 13 inches

H. 16 1_ 4

inches

I. 24 inches

[Lesson 8-1] MA.7.G.2.1

44 The model of a pyramid has a square base. Each side of the base measures 3 1 __ 2 feet. The slant height of each triangular face measures 7 feet. What is the approximate surface area of the pyramid?

A. 110.25 square feetB. 61.25 square feetC. 36.75 square feetD. 24.5 square feet

[Lesson 8-2] MA.7.G.2.1


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Chapter 8 Practice (continued)Surface Area and Volume

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55 Janisa is constructing a podium for an awards ceremony. The dimensions of the podium are shown in the diagram below.

2 ft

5 ft3 ft

9 ft

3 ft

3 ft

3 ft

What is the total volume of the podium?

F. 135 cubic feetG. 108 cubic feetH. 99 cubic feetI. 90 cubic feet

[Lesson 8-3] MA.7.G.2.2

66 Mike’s Ice Cream Stand has a giant ice cream cone on its rooftop. The cone is 8 feet tall with a diameter of 6 feet.

6 ft

8 ft

What is the volume of the cone to the nearest hundredth? Use 3.14 for !.

A. 25.12 cubic feetB. 75.36 cubic feetC. 200.96 cubic feetD. 226.08 cubic feet

[Lesson 8-1] MA.7.G.2.1

77 The approximate volume of a storage facility is 514,560 cubic feet. If the facility is in the shape of a rectangular prism that measures 96 feet wide and 40 feet tall, about how long is it?

F. 12,864 feetG. 5,360 feetH. 402 feetI. 134 feet

[Lesson 8-1] MA.7.G.2.1

88 What is the volume of the cone below, in cubic inches? Use 3.14 for !.

5 in.

15 in.

[Lesson 8-1] MA.7.G.2.1


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99 Kim built a birdhouse. It is a square-base pyramid sitting on top of a square prism as shown below.

3 in.3 in.

4.27 in.4 in.

5 in.

Kim wants to paint the birdhouse, top to bottom. What is the total external surface area of the birdhouse?

A. 64.62 square inches B. 85.62 square inchesC. 94.62 square inchesD. 103.62 square inches

[Lesson 8-3] MA.7.G.2.2

1010 What is the volume of a cylinder with a diameter of 16 centimeters and a height of 14 centimeters? Use 3.14 for !.

F. 11,253.76 cubic centimetersG. 2,813.44 cubic centimetersH. 703.36 cubic centimetersI. 351.68 cubic centimeters

[Lesson 8-1] MA.7.G.2.1

1111 What is the volume of the square pyramid below, in cubic inches?

6 in.

5 in.

5 in.

[Lesson 8-1 MA.7.G.2.1

1212 The volume of a square prism is 250 cubic feet. What is the height of the prism if one side of the base is 5 feet?

A. 5 feetB. 10 feetC. 50 feetD. 125 feet

[Lesson 8-1] MA.7.G.2.1


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1313 Look at the diagram below.

18 cm

8 cm 8 cm

2 cm

What is the volume of the prism outside the cylinder? Use 3.14 for !. Round your answer to the nearest cubic centimeter.

F. 226 cubic centimetersG. 248 cubic centimetersH. 926 cubic centimetersI. 1,152 cubic centimeters

[Lesson 8-3] MA.7.G.2.2

1414 A sailboat has a triangular mainsail, as shown.

15 ft

20 ft

What is the area of the mainsail?

A. 35 square feetB. 75 square feetC. 150 square feetD. 300 square feet

[Fair Game] MA.6.G.4.3

1515 A cube has a surface area of 150 square centimeters. Its volume is 125 cubic centimeters. What is the side length of the cube?

F. 3 centimetersG. 4 centimetersH. 5 centimetersI. 6 centimeters

[Lesson 8-2] MA.7.G.2.1

1616 What is the volume of the cylinder below, in cubic centimeters? Use 3.14 for !. Round your answer to the nearest tenth.

8 cm

22 cm

[Lesson 8-1] MA.7.G.2.1


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Chapter 9 PracticeMeasurement and Proportional Reasoning

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11 Maddie is camping with her family. They want to hike 5 miles on the first day. Maddie’s pedometer shows they hiked7,000 steps before they stopped for lunch.

It takes about 2,000 steps to walk a mile. How many more kilometers must they walk to reach their goal of 5 miles?

A. 2.415 kilometersB. 3.22 kilometersC. 5.635 kilometersD. 8.05 kilometers

[Lesson 9-1] MA.7.G.4.4

22 Mr. Smith sells two sizes of children’s sandboxes. The base of the smaller sandbox measures 72 inches by 55 inches as shown below.

72 in.

55 in.

If the larger sandbox is twice the length and width of the smaller sandbox, what is the area of the base of the larger sandbox?

F. 3,960 square inchesG. 7,920 square inchesH. 11,880 square inchesI. 15,840 square inches

[Lesson 9-2] MA.7.G.4.1

33 The data in the table represent the relationship between the area of a circleand its radius.

Area (cm2) Radius (cm)3.14 1

12.56 2

28.26 3

50.24 4

If a circle has a radius of 6 centimeters,what is the area of this circle, in square centimeters?

[Lesson 9-2] MA.7.G.4.1

44 Carlotta runs 14,520 feet every day. How many meters does she run in a 7-day period?

A. about 4,400 metersB. about 6,800 metersC. about 31,000 metersD. about 47,600 meters

[Lesson 9-1] MA.7.G.4.4


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Chapter 9 Practice (continued)Measurement and Proportional Reasoning

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55 Cedrick bought an aquarium that is15 inches high and has a base area of300 square inches. He wants to put a piece of cloth under the aquarium. How many square centimeters of the cloth will he need?

F. about 38 square centimetersG. about 97 square centimetersH. about 762 square centimetersI. about 1,935 square centimeters

[Lesson 9-1] MA.7.G.4.4

66 What is the volume of the figure shown below?

7 in.

10 in.

2 in.

A. 19 cubic inchesB. 32 cubic inchesC. 72 cubic inchesD. 140 cubic inches


77 Sandra draws a circle with a circumference of 6! inches. Michael draws a circle with a circumference of 36! inches. What is the ratio of the diameter of Sandra’s circle to the diameter of Michael’s circle?

F. 1 : 3G. 1 : !H. 1 : 6I. 6 : 1

[Lesson 9-2] MA.7.G.4.1

88 The average high temperature in Miami in June is 86˚F. What is this temperature in degrees Celsius?

[Lesson 9-1] MA.7.G.4.4

99 Fernando makes two sizes of picture frames to sell at the art show. The smaller picture frame measures 5 inches by 7 inches as shown in the diagram below.

7 in.

5 in.

The wood to make his picture frames costs 50¢ per linear inch. If the larger frame is twice the length and width of the smaller frame, how much more does it cost him to make the larger picture frame than the smaller frame?

A. $12B. $24C. $36D. $48

[Lesson 9-2] MA.7.G.4.1


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1010 The side lengths of Cube D are one-third the side lengths of Cube C. Which correctly describes the volume of Cube D compared to the volume of Cube C?

F. The volume of Cube D is 1 _ 27

the volume of Cube C.

G. The volume of Cube D is 1 _ 18

the volume of Cube C.

H. The volume of Cube D is 1 _ 9 the volume

of Cube C.I. The volume of Cube D is 1 _

3 the volume

of Cube C.

[Lesson 9-2] MA.7.G.4.1

1111 The perimeter of a rectangle is 44. If the dimensions of the rectangle are scaled by a factor of 1.5, what will be the perimeter of the resulting figure?

[Lesson 9-2] MA.7.G.4.1

1212 The table below shows the typical serving size for various breakfast foods.

Serving SizesOatmeal 42 grams

Banana 100 grams

Cereal 115 grams

Toast 60 grams

If Cindy has two servings of cereal for breakfast, how many ounces of cereal will she eat?

A. about 8 ouncesB. about 7 ouncesC. about 4 ouncesD. about 3 ounces

[Lesson 9-1] MA.7.G.4.4

1313 The table below shows a student’s heart rate while at rest.

Resting Heart RateTime (in seconds) Heart Beats

15 19

30 38

45 57

How many times will the student’s heart beat in 1.5 minutes?

F. 76 timesG. 95 timesH. 108 timesI. 114 times

[Lesson 9-1] MA.7.G.4.4


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1414 The circumferences of two circles areshown below.

Circle A

Circle B

d

C = 12.56

2d

C = ?

The diameter of Circle B is twice the diameter of Circle A. What is the circumference of Circle B?

[Lesson 9-2] MA.7.G.4.1

1515 Margaret feeds her dog about 300 grams of dog food for each meal. She feeds her dog twice a day. About how many kilograms of dog food does she need to feed her dog for a 7-day period?

A. 2.1 kilogramsB. 4.2 kilogramsC. 2,100 kilogramsD. 4,200 kilograms

[Lesson 9-1] MA.7.G.4.4

1616 A right triangle has a perimeter of30 centimeters. Suppose the length ofeach side is increased to 5 times its original length. What is the perimeter of the larger triangle?

F. 60 centimetersG. 90 centimeters H. 150 centimetersI. 300 centimeters

[Lesson 9-2] MA.7.G.4.1

1717 Georgia has a plastic container that is a rectangular prism. Its dimensions are shown on the diagram below.

She will completely fill the container with water. About how many cubic centimeters of water will she need?

A. about 220 cubic centimetersB. about 560 cubic centimetersC. about 1,423 cubic centimetersD. about 3,613 cubic centimeters

[Lesson 9-1] MA.7.G.4.4


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Chapter 10 PracticeTransformations

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11 If !MNP is translated 3 units to the left and 3 units down, what are the coordinates of its vertices?

y

xO-2-3

-2 21 4 53 6 7 8

123456

A. (–1, 2), (2, 2), (–1, 6)B. (2, –1), (2, 3), (5, –1)C. (–1, –1), (–1, 3), (2, –1)D. (5, 5), (5, 11), (8, 5)

[Lesson 10-1] MA.7.G.4.2

22 If !JKL is rotated 90 degrees counterclockwise about the origin, what would be the coordinate of the new vertex K '?

xO!2!3 !1 21 3 54!2

!4!3

2

45

3

1

y

F. (–3, 1)G. (–3, –1)H. (–1, –3)I. (–1, 3)

[Lesson 10-3] MA.7.G.4.2

33 Triangle ABC was transformed to form!A'B'C ' below.

y

xO

B'

A'

C'CB

A

Which transformation is shown here?

A. rotationB. reflectionC. translationD. dilation

[Lesson 10-2] MA.7.G.4.2

44 Suppose !PQR is dilated about point Q with a scale factor of 4. Which of the following expressions can be used to find the length of segment P'R'?

F. 4 " PRG. 2 " PRH. 0.5 " PRI. 0.25 " PR

[Lesson 10-4] MA.7.G.4.2


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Chapter 10 Practice (continued)Transformations

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55 A square prism with a height of 3 feet has a volume of 75 cubic feet. The picture below shows the base of the square prism.

s

What is the measure of s?

A. 5B. 12.5C. 25D. 225


66 Triangle DEF is a translation of !ABC.

xO

A C

B

DF

Ey

Which of the following describes the translation?

F. 1 _ 2 unit to the left and 4 units down

G. 4 units to the left and 1 _ 2 unit up

H. 4 units up and 1 _ 2 unit to the left

I. 1 _ 2 unit to the right and 4 units up

[Lesson 10-1] MA.7.G.4.2

77 Triangle ABC was dilated by a scale factor of 2 to form !DEF. Which graph best represents this dilation?

A. y

xA D

EC

F

B

B. y

xA D

E

F

C

B

C. y

xA

D

E

F

C

B

D. y

xD

A

B

C

F

E

[Lesson 10-4] MA.7.G.4.2


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88 The endpoints of ___

AB are at A(0, 0) and B(2, 3).

y

xO-2-3-4-5

-2-3-4-5

12345

21 43 5

Which line segment represents a translation of 3 units to the left and 1 unit down?

F. ___

CD G.

___ EF

H. ___

GH I.

___ JK

[Lesson 10-1] MA.7.G.4.2

99 Which triangle shows a reflection of !XYZ across the x-axis?

y

xO

Z

A

DC

B

Y

X

A. !AB. !BC. !CD. !D

[Lesson 10-2] MA.7.G.4.2

1010 Which of the figures below does NOT show a dilation of Figure A?

Figure A

F.

G.

H.

I.

[Lesson 10-4] MA.7.G.4.2


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1111 Point P is located at (2, 5) on a coordinate grid. What are the coordinates of point P after a translation of 3 units right and 2 units down?

A. (5, 3)B. (5, 7)C. (–1, 3)D. (0, 8)

[Lesson 10-1] MA.7.G.4.2

1212 If !EFG is rotated 180 degrees about the origin, what would be the coordinates of point G'?

y

xO!4 !2!5 !3 21 3 54

!4!5

!3!2

2

45

3

1

F. (–4, –2)G. (–4, 2)H. (–2, 4)I. (–2, –4)

[Lesson 10-3] MA.7.G.4.2

1313 Point Q is located at (-3, 4) on a coordinate grid. What are the coordinates of point Q after a rotation 270 degrees counterclockwise about the origin?

A. (3, –4)B. (4, 3)C. (–4, –3)D. (3, 4)

[Lesson 10-3] MA.7.G.4.2

1414 In which coordinate graph is the white figure a reflection of the gray figure overthe x-axis?

F. y

xO

G. y

xO

H. y

xO

I. y

xO

[Lesson 10-2] MA.7.G.4.2


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