in0i tpg8 894000 - glencoe.com

the ISTEP+

Practice and Assessment for the Indiana Statewide Testing for Educational Progress-Plus

Grade 8

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

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

ISBN: 978-0-07-894000-2MHID: 0-07-894000-1 Mastering the ISTEP+, Grade 8 Printed in the United States of America.

1 2 3 4 5 6 7 8 9 10 009 18 17 16 15 14 13 12 11 10 09

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Contents

Mastering the ISTEP+, Grade 8 INiii

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To the Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . INiv

Mathematics Reference Sheet . . . . . . . . . . . . . . . . . . . . . . . . . . INv

Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IN1

Prerequisite Skills Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IN15

Diagnostic Test. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IN25

Practice by Standard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IN35

Practice Test – Applied Skills. . . . . . . . . . . . . . . . . . . . . . . . . . . IN65

Practice Test – Session 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IN71

Practice Test – Session 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IN79

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To the Student

INiv Mastering the ISTEP+, Grade 8

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Indiana’s Academic Standards describe what mathematics you should learn this school

year. Your textbook, Math Connects, Course 3, is one of the main tools you will use to

learn this math. If you master the mathematics, you should be able to do well on the

ISTEP+ test in the spring.

This workbook, Mastering the ISTEP+, is another tool to help you review the

mathematics you will need for performing well on the test this year. It is actually two

workbooks in one.

This side of the workbook contains tools to help you determine which of the standards

you know well and which ones you still need to practice. The questions are similar to

those you might see on the ISTEP+ test.

The Reference Sheet on the next page lists some of the formulas that you should

be familiar with in order to solve problems more quickly.

A Prerequisite Skills Check tests the standards from last year, which are tools

you’ll need for this year’s mathematics.

The Diagnostic Test assesses the math skills you will learn this year.

The Practice by Standard section contains worksheets that focus on each

standard individually. These also can be used to practice types of questions you

may have answered incorrectly on the Diagnostic Test.

In the Problem Solving section, you will learn how to read word problems

and find the best ways to solve them.

Practice Tests are included to help determine how much you have learned

this year.

If you flip this workbook over, you will find the Study Guide and Intervention and Practice Workbook, Course 3 that goes along with your student edition textbook.

There are two pages of practice for each lesson in your textbook. These pages review

the math being taught in the lesson and give you practice problems for that math.

Remember that the most important thing is to concentrate on learning the

mathematics. When you know the math, you have the power to do well on the test.

•

•

•

•

•

•

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Mathematics Reference Sheet

Mastering the ISTEP+, Grade 8 INv

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Figure Formulas for Area (A) and Circumferences (C)

Triangle

A = 1 __ 2 bh Area =

1 __

2 × base × height

Rectangle

A = ℓw Area = length × width

Trapezoid A = 1 __

2 h(b

1 + b

2) Area =

1 __

2 × height × sum of bases

Parallelogram A = bh Area = base × height

Square A = s2 Area = side × side

Circle A = πr2

C = 2πr

Area = π × square of radius

Circumference = 2 × π × radius

π ≈ 3.14 or 22 __

7

Figure Formulas for Volume (V) and Surface Area (SA)

Rectangular

Prism V = ℓwh

SA = 2ℓw + 2hw + 2ℓh

Volume = length × width × height

Surface Area = 2(length × width) +

2(height × width) + 2(length × height)

Cylinder

V = πr2h

SA = 2πr2 + 2πrh

Volume = π × square of radius × height

Surface Area = 2 × π × square of radius +

2 × π × radius × height

Conversions

1 foot = 12 inches 1 minute = 60 seconds 1 meter = 1000 millimeters

1 yard = 3 feet 1 hour = 60 minutes 1 meter = 100 centimeters

1 mile = 5,280 feet 1 day = 24 hours 1 kilometer = 1000 meters

1 mile = 1,760 yards

1 cup = 8 fluid ounces 1 gram = 1000 milligrams

1 pound = 16 ounces 1 pint = 2 cups 1 kilogram = 1000 grams

1 ton = 2,000 pounds 1 quart = 2 pints

1 gallon = 4 quarts 1 liter = 1000 cubic centimeters

1 liter = 1000 milliliters

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Mathematics Reference Sheet (continued)

INvi Mastering the ISTEP+, Grade 8

Figure Formulas for Volume (V) and Surface Area (SA)

General

PrismsV = Bh

Volume = area of base × height

Surface Area = sum of the areas of the faces

π ≈ 3.14

or

π ≈ 22 __

7

Sphere

V = 4 __ 3 πr3

SA = 4πr2

Voulme = 4

__ 3 × π × cube of radius

Surface Area = 4 × π × square of radius

Right Circular

ConeV = 1 __

3 πr2h Voulme =

1

__ 3 × π × square of radius × height

Regular

PyramidV = 1 __

3 Bh Voulme =

1

__ 3 × area of base × height

Slope-Intercept Form

y = mx + b

where m = slope and b = y-intercept

Pythagorean Theorem

a2 + b2 = c2

Distance Formula

d = rt

where d = distance, r = rate, and t = time

Simple interest Formula

I = prt

where I = interest, p = principal, r = rate, and t = time in years

Temperature Formulas

°C = 5 __ 9 (F - 32)

°Celsius = 5 __ 9 × (°Fahrenheit - 32)

°F = 9 __ 5 C + 32

°Fahrenheit = 9 __ 5 × °Celsius + 32

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Problem Solving

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Mastering the ISTEP+, Grade 8 IN1

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This Four-Step Plan can help you find a method for solving any word problem.

1 UNDERSTAND • Read the problem carefully. • What question do you need to answer? • What information do you need to solve the problem? • What information do you NOT need to solve the problem?

2 PLAN• Decide on one or more strategies to use.

Guess, Check, and ReviseDraw a DiagramUse Logical ReasoningAct it OutMake a TableSolve a Simpler Problem

oooooo

Work BackwardUse a GraphLook for a PatternMake a ModelUse a Venn DiagramDetermine Reasonable Answers

oooooo

3 SOLVE• Carry out your plan.• Perform the operations needed to find the solution.• Revise your plan as needed.

4 CHECK • Reread the problem. • Does your answer make sense? • Is your answer reasonable? • Revise your plan as needed.

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Problem Solving (continued)

IN2 Mastering the ISTEP+, Grade 8

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Follow the Four-Step Plan below to help you answer Problem 1.

1 Derek built a square pyramid with a side length of 18 centimeters for the base.The slant height of each face of the pyramid is 20 centimeters.

What is the surface area of the pyramid?

Answer square centimeters

The pyramid will rest on a table. Derek plans to cover the visible parts of the pyramid with felt. How many square centimeters of felt will he need?

Answer square centimeters

Read the problem.

What do you want to find?

What information can you use from the problem?

The make a model strategy can help you visualize the dimensions of the pyramid so that you can find the area of the base and each face of the pyramid.

What formulas will you need to solve the problem?

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Draw a net of a square pyramid. Label the dimensions.

Find the area of the base and one face. Then combine the areas to find the surface area of the pyramid.

Find the surface area of the visible parts of the pyramid.

Reread the problem.

Are your answers reasonable? Explain how you know.


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Follow the Four-Step Plan below to help you answer Problem 2.

2 Gabriela, the manager of a wildlife rehabilitation center, is making a schedule for volunteers. She would like there to be 2 volunteers for every 7 animals in the center.

At the present time, there are 18 volunteers on the roster. If Gabriela sticks to the plan, what would be the maximum number of animals at the center?

Answer

An oil spill resulted in a total of 98 animals at the center. How many more volunteers than the ones on the roster does Gabriela need to find?

Answer

Read the problem.

What are you asked to find?

What given information can you use to solve the problem?



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One approach to solving this problem is to use the make a table strategy, which can help you identify the relationship between the number of volunteers at the center and the number of animals.

Make a table of equal ratios, starting with the ratio of 2 volunteers to 7 animals, and ending with 18 volunteers to the number of animals.

Number of Volunteers Number of Animals

Use the table to find the maximum number of animals that can be at the center if all 18 volunteers are there.

Use the table to find how many MORE volunteers would be needed if there were 98 animals at the center. Explain how you used the table.

Reread the problem.

Did you answer the questions that were asked? Are your answers reasonable? Does your explanation make sense within the context of the original question?


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Use what you have learned about the Four-Step Plan to answer Problem 3.

3 Are the functions below linear or non-linear?

y = x2 – 1 and y = x – 1

Complete the tables of values for the functions below. Then graph both functions on the following coordinate grid.

x x2 - 1 y (x, y)-2

-1

0

1

2

x x - 1 y (x, y)-2

-1

0

1

2

y

x1 2 3 4

34

21

–2–3–4

–3 –2–4

Explain whether the functions are linear or non-linear by contrasting their characteristics in the table or the graph.

YOUR TURN

Reread the problem and check to make sure that you completed all of the parts of the problem.

UNDERSTANDRead the problem.

PLANYou can use the

strategies make a table and use a

graph to solve the problem.

SOLVERemember to show

your work in the provided tables and coordinate grid. In this problem, you

need to also explain your reasoning.

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4 Chase bought a shirt and a pair of pants on sale. The shirt was discounted 40% and cost $27 after the discount. The pants were discounted 55% and cost $36 after the discount.

What were the original prices of the shirt and pair of pants?

Show All Work

Original price of shirt

Original price of pants

Chase has a discount coupon for an additional 20% off. What will he pay for the shirt and pair of pants if tax is 6%?

Show All Work

Answer

YOUR TURN

Reread the problem.

Check that you performed the correct calculations. Did you use the discounted prices to find the total cost of the shirt and pants?


PLANYou can use the

guess, check, and revise strategy to

solve the problem.

SOLVEShow all of your work. Remember

that 55% off an item is the same as

paying 45% of the item.


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5 What is the area of the figure below?

2 ft

8 ft

2 ft

2 ft

6 ft

14 ft

Show All Work

Answer square feet

What is the area of the figure in square inches?

Show All Work

Answer square inches

YOUR TURN

Reread the problem.

Did you find the area of each part of the figure? Did you combine the areas of each part to find the total area?Did you use the correct conversion of square feet to square inches?


PLANYou can use the solve a simpler

problem strategy.

SOLVEShow all your

work. Use the Math Reference Sheet as

needed.



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6 Write the equation of a line with a slope of 4 and a point (1, –4) on the line. Justify your work.

Show All Work

Answer

What is the y-intercept of the equation of the line? Explain.

7 Jasmine wants to compare the lengths of some insect eggs, but some are written in scientific notation and some are written as decimals. All of the measurements are in inches.

3.543 × 10-2 0.007874 0.001063 7.874 × 10-4

Write all of the numbers in scientific notation and then compare. Justify your work.

Show All Work

Answer


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8 On a trip to his friend’s house, Alejandro drove 40 miles per hour for 12 minutes and 55 miles per hour for 18 minutes. What was Alejandro’s average speed in miles per hour? Explain your reasoning on the lines below.

Show All Work

Answer miles per hour

9 The drama club spent $125 on printing posters and tickets for a play. They plan to sell tickets to the play for $6 each.

Write a function to represent the situation.

Function

How much profit will they make if they sell 125 tickets?

Show All Work

Answer


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10 Laticia is thinking about borrowing $14,000 to buy a car. She can pay 7% simple interest for 5 years or 6.5% interest compounded annually for 5 years.

Which loan will cost more? How much more will it cost?

Show All Work

Answer

What factors should you consider when thinking about a loan at a simple interest rate or a compounded interest rate?


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11 A library is having a book sale. All hardbound books sell for $4 each. Write a function to represent this situation.

Function

All paperback books sell for $1.50 each. Write a function to represent this situation.

Function

Fill in the correct function in the top row and complete the table of values for each function. Graph both functions on the coordinate grid below.

Paperback Books Hardback Books

x y (x, y)2

4

6

x y (x, y)2

4

6

y

x

Sale

s($

)

2468

101214161820222426

0 1 2 3 4 5 6 7 8 9 10Number of Books

Use equations, tables, or a graph to find the number of paperbacks the library needs to sell to make the same amount of money as the sale of 3 hardbound books.

Answer



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12 Janeka made the model of the house below.

16 in.

20 in.

12 in.24 in.

Sophia made a similar house using a scale factor of 1 __ 4 .

What is the difference in volume, in cubic inches, of the two models?

Show All Work

Answer cubic inches


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13 Jin wants to have some posters printed at a print shop. Print Perfect charges $120 for set up and $15 per poster. Artie’s Print Shop charges $160 for set up and $10 per poster.

Write an expression that represents the amount Print Perfect charges given the number of posters p that Jin has printed.

Expression

Write an expression that represents the amount Artie’s Print Shop charges given the number of posters p that Jin has printed.

Expression

For what number of posters will the cost be the same at both print shops?

Show All Work

Answer



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Prerequisite Skills Check

Fill in the bubble next to the correct answer. Be sure to fill in the bubble completely.

1 Purya rolls a number cube numbered from 1-6. What is the probability that Purya rolls an even number?

A 1 __ 6

B 1 __ 3

C 1 __ 2

D 6 __ 3

2 What is the slope of the following line?

-2-3-4

-2-3-4 2 43

1

1

234 (1, 4)

(-1, -2)

y

x

F -3

G1 __ 3

H 2

J 3

3 Which of the following nets can be used to form a triangular prism?

A

B

C

D

4 The Chase Tower in Indianapolis has 48 floors. Which shows the prime factorization of 48?

F 4 × 12 H 23 × 3

G 24 × 3 J 22 × 3 × 4

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Prerequisite Skills Check (continued)

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5 The product of a number n and 12 is 72. Which of the following equations represents that relationship?

A 72n = 12

B 12 + n = 72

C 12 ___ n = 72

D 12n = 72

6 What is the length of one side of a square whose area is 64 square inches?

F 8 inches

G 16 inches

H 32 inches

J 256 inches

7 Simplify the following expression.

5(5m - m + 5) - 3(2m - 1)

A 14m + 28

B 18m + 4

C 18m + 28

D 14m + 22

8 If �MNP is translated 3 units to the left and 3 units down, what are the coordinates of its new vertices?

M

y

x-2 21 43 5 6

1234567

F (-1, 2), (2, 2), (-1, 6)

G (2, -1), (2, 3), (5, -1)

H (-1, -1), (-1, 3), (2, -1)

J (5, 5), (5, 9), (8, 5)

9 The following table shows the weights of Chie’s four guinea pigs.

Guinea Pig Weight (Pounds)Casper 3.08

Ernie √ ___

15

Ginger 10 ___ 3

Marley π

Which shows Chie’s guinea pigs in order from lightest to heaviest?

A Casper, Ginger, Marley, Ernie

B Ernie, Ginger, Marley, Casper

C Marley, Casper, Ginger, Ernie

D Casper, Marley, Ginger, Ernie

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10 A long-distance runner can run at a rate of 4 miles per 22 minutes. At this rate, how long will it take the runner to run 24 miles?

F 42 minutes

G 1 hour, 28 minutes

H 1 hour, 50 minutes

J 2 hours, 12 minutes

11 Which of the following is equivalent to 5.9 × 103?

A 0.0059

B 59

C 5,900

D 59,000

12 What is the value of z in the following equation?

3z - 14 = 1

F - 13 ___ 3

G 5

H 11

J 15

13 The following bar graph shows the results of a survey on favorite types of music. How many more people said that they prefer hip hop music to classical music?

1520

10

05

25

Vote

s

30Favorite Types of Music

Rock

Coun

tryHip

HopCl

assic

al

A 5

B 10

C 15

D 25

14 What is the value of 44?

F 16

G 64

H 246

J 256



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15 The squares below follow a geometric pattern. If the pattern of squares is continued, what fraction of the fourth square would be shaded?

1 2 3

A 1 ___ 64

B 1 ___ 32

C 1 ___ 16

D 1 __ 4

16 A student has received the following scores on six tests.

94, 88, 72, 53, 91, 88

If the teacher agrees to drop the lowest test score, which of the following measures of central tendency will change?

F the mean and median only

G the mean only

H the mean, median, and mode

J the median only

17 Cathy bought 4 pairs of shorts for $38.60. If each pair of shorts cost the same amount, what was the cost of each pair of shorts?

A $8.65

B $9.55

C $9.65

D $153.60

18 Two out of every 7 students in a 7th-grade class wear glasses. If there is a total of 28 students in the class, how many wear glasses?

F 8

G 9

H 20

J 23

19 In the 2004 Indianapolis 500, the winner, Buddy Rice, completed only 450 out of 500 laps because rain shortened the race. What percent of the race did the winner complete?

A 9%

B 45%

C 90%

D 111%



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20 A pollster wants to ask people whom they plan to vote for in a town’s mayoral election between Natalie Rogers and Juan Cruz. Which survey question will NOT affect the results?

F Why will you vote for Natalie Rogers instead of Juan Cruz in the mayoral election?

G Will you vote for Natalie Rogers or Juan Cruz knowing that Natalie Rogers will raise taxes?

H Do you still plan to vote for Juan Cruz for mayor even though he may cut funding for our schools?

J Do you plan to vote for Natalie Rogers or Juan Cruz in the mayoral election?

21 Ms. Feliciano brings in a box of stickers for the students in her class. She wants to give the same number of stickers to each student. Without knowing how many students are in her class, which number of stickers would be impossible to divide equally among her students?

A 65

B 71

C 77

D 81

22 Which of the following shows the graph of a line with a slope of -2 that goes through point (2, -1)?

F

-2-3-4

-2-3-4 2 43

1

1

234

y

x

G

-2-3-4

-2-3-4 2 43

1

1

234

y

x

H y

x

-3-4

-2

-2-3 21 43 5

1234

J y

x

-3-4

-2

-2-3 21 43 5

1234



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23 In the diagram below, lines a and b are parallel.

a

b

c

2

1

What is the measure of angle 2 if the measure of angle 1 is 35°?

A 35°

B 65°

C 145°

D 155°

24 If the value of x in the following equation is 4, what is the value of y?

5y + 3x = 27

F 3

G 39 ___ 5

H 12

J 15

25 On Saturday afternoon, Kimberly

ate 2 __ 5 of an apple pie. On Saturday

night, Kimberly’s brother ate 2 __ 5 of

what was left of the pie. What fraction of the pie was eaten on Saturday in total?

A 4 ___ 25

B 9 ___ 25

C 16 ___ 25

D 4 __ 5

26 Four bicycle riders are participating in a 50-mile trail ride. The paces of the four riders are shown in the following table.

Rider Pace Lorenzo 25 miles per 3 hoursJorge 22 miles per 2 hoursLance 38 miles per 4 hoursJermaine 40 miles per 5 hours

If the riders maintain their paces, which rider will be the first to complete the ride?

F Lorenzo

G Jorge

H Lance

J Jermaine



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27 Bijou makes a model of her house that is exactly to scale with her actual house. Her house is 21 feet tall, and the front door is 7 feet tall. In her model, the door is 6 inches tall. How tall will her model house be?

A 2 inches

B 1 foot 6 inches

C 1 foot 8 inches

D 14 feet 6 inches

28 The following table shows the approximate area of four Indiana counties in square miles.

County Area (Square Miles)

Adams 3.39 × 102

Allen 6.57 × 102

Ohio 8.7 × 101

Union 1.62 × 102

Which county listed in the table has the smallest area?

F Adams

G Allen

H Ohio

J Union

29 The following line graph shows the populations of Evansville, Indiana, according to the census in 1980, 1990, and 2000.

1980 1990 2000

120,000118,000116,000

122,000124,000126,000128,000130,000132,000134,000

Population of Evansville, Indiana

Population

Based on the statistical data, which is the best estimate for the population of Evansville, Indiana, in 2010?

A 100,000 C 122,000

B 115,000 D 135,000

30 Ezra has $35 to spend on 3 shirts. If each shirt costs the same amount, which inequality shows whether Ezra has enough money?

F 35 ≤ 3sG 35 > 3sH 35s ≥ 3

J 35 ≥ 3s



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31 Which point on the number line represents - √

__ 2 ?

1 2 3 4 50-1-2-3-4-5

A point AB point B

C point CD point D

32 Of all the U.S. vice presidents who served completely in the 20th century, 10% were from Indiana. They were Thomas R. Marshall and J. Danforth Quayle. How many U.S. vice presidents served completely during the 20th century?

F 2

G 10

H 12

J 20

33 Which series of transformations can be used on the parallelogram in the coordinate grid so that each of its 4 vertices will have a pair of negative coordinates?

y

x

A translate 6 units down, and then reflect over the x-axis

B rotate 90 degrees counterclockwise and then reflect over the y-axis

C translate 6 units to the left, and then 3 units down

D translate 6 units to the left, and then reflect over the x-axis

34 Which set of values for z is the solution for the following inequality?

25 - 2z > 10

F z < 15 ___ 2

G z < 15

H z < 35 ___ 2

J z > 15 ___ 2



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35 Which of the following shows the graph of a line that goes through point (-4, -2) and (0, 4)?

A y

x

-3-4

-2

-3 -1-2-4 1 32 4

1234

B y

x

-3-4

-2

-3 -1-2-4 1 32 4

1234

C y

x

-3-4

-2

-3 -1-2-4 1 32 4

1234

D y

x

-3-4

-2

-3 -1-2-4 1 32 4

1234

36 Abina writes the ages of the players on her favorite baseball team in the following data set.

24, 33, 27, 34, 21, 40,20, 19, 37, 25, 20, 19

Which histogram matches Abina’s data set?

F

40-4930-3920-2910-19

64

02

Age of Player

23

6

1

8

10

Num

ber o

f Pla

yers

G

40-4930-3920-2910-19

68

10

4

02

Num

ber o

f Pla

yers

Age of Player

13

6

2

H

40-4930-3920-2910-19

64

02

Age of Player

13

6

2

8

10

Num

ber o

f Pla

yers

J

40-4930-3920-2910-19

64

02

Age of Player

4

1

5

2

8

10

Num

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f Pla

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37 A truck driver drives 220 miles from Gary, Indiana, to Richmond, Indiana. If the total time for the drive was 3 hours and 40 minutes, what was the truck driver’s average speed?

A 55 miles per hour

B 60 miles per hour

C 65 miles per hour

D 807 miles per hour

38 Which lists all of the prime factors of 60?

F 3 and 5

G 2, 3, 4, and 5

H 2 and 15

J 2, 3, and 5

39 The ratio of boys to girls in a class is 3:4. If there are 28 students in the class, how many boys are there?

A 10

B 12

C 16

D 21

40 The circle graph shows the elements present in the human body. If Martin weighs 150 pounds, how many pounds of carbon are in his body?

F 8.3 −

3 pounds

G 18 pounds

H 27 pounds

J 97.5 pounds

41 A football player loses 6 yards on each of 3 consecutive plays and then gains 15 yards on the 4th play. How many yards did the player gain or lose in total over the 4 plays?

A -33

B -3

C 3

D 33



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Diagnostic Test

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1 Of the 220,342 people who took part in a survey, 168,500 stated that they would support a proposed recycling program. Based on this data, which is the most reasonable claim?

A About 75% of the people surveyed did not agree to support the program.

B Less than 75% of the people surveyed agreed to support the program.

C More than 75% of the people surveyed agreed to support the program.

D About half of the people surveyed agreed to support the program.

[Lesson IN7]

2 A middle school athletic department ordered 328 practice jerseys with the school’s mascot on them. Of these jerseys, 82 were returned to the printing company because the wrong mascot was printed on them. What percent of the original order did the athletic department keep?

F 85%

G 75%

H 33%

J 25%

[Lesson 5-1]

3 Which of the following is 3−4 expressed as a fraction?

A − 4 __ 3

B 1 ___ 81

C 1 ___ 64

D 1 ___ 12

[Lesson 2-9]

4 A large tree in Mrs. Santiago’s yard was struck by lightning and fell as shown in the diagram below. Which equation could be used to find the length of the fallen part of the tree?

13 ft

8 ft

F 82 + 132 = x

G √ ________

82 + 132 = x

H 132 − 82 = x

J √ ________

132 − 82 = x

[Lesson 3-1]

Fill in the bubble next to the correct answer. Be sure to fill in the bubble completely.

IN25-IN34_DTG8_894000.indd 25IN25-IN34_DTG8_894000.indd 25 6/25/09 3:39:45 PM6/25/09 3:39:45 PM


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Diagnostic Test (continued)

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5 What is the slope of the following equation?

y = − 1 __ 3 x + 2

A − 1 __ 3

B 1 __ 3

C 2

D 6

[Lesson 9-6]

6 The area of a playground is 3,600 square feet. What is the area in square yards?

F 300 yd2

G 400 yd2

H 1,200 yd2

J 32,400 yd2

[Lesson IN1]

7 In a recent year, the total population of Indiana was about 6,380,000. What is this number in scientific notation?

A 6.38 × 10-6

B 63.8 × 105

C 6.38 × 106

D 6.38 × 107

[Lesson 2-10]

8 The box-and-whisker plot shows the average monthly rainfall in Indiana. Based on this data, which is the most reasonable statement?

2.0 2.5 3.0 3.5 4.0 4.5 5.0

F The median average monthly rainfall is 4.05 inches.

G The median average monthly rainfall is 3.4 inches.

H There are more months in which the average rainfall is less than the median.

J There are more months in which the average rainfall is greater than the median.

[Lesson 11-6]

9 The diameter of the circle is 10 inches. What is the approximate area of the shaded region of this figure?

6 in.

8 in.

A 54.5 in2 C 102.5 in2

B 78.5 in2 D 290 in2

[Lesson 7-3]



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10 Which graph represents a linear function?

F y

x

G y

x

H y

x

J y

x

[Lesson 10-1]

11 A dog dropped his plastic chew toy in a river. The current floated the

toy 12 miles downstream in 2 2 __ 5 hours.

At this rate, how many miles would the toy travel in 5 hours?

A 1 mile C 25 miles

B 24 miles D 28.8 miles

[Lesson 4-1]

12 What is the area of the largest square in the figure below?

F 5 square units

G 9 square units

H 16 square units

J 25 square units

[Lesson 3-6]

13 Which equation, when graphed, has a slope of 3 and contains the point (1, 5)?

A y = 3x + 8 C y = 3x − 2

B y = 3x + 2 D y = 3x − 14

[Lesson 9-6]



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14 A card is selected at random from a standard deck of 52 playing cards and then replaced. A second card is then selected. What is the probability of selecting a jack and then a 10?

F 1 ____ 169

G 1 ___ 26

H 1 ___ 13

J 2 ___ 13

[Lesson 12-1]

15 The illustration below shows the construction of an angle bisector. All of the following describe steps in the construction except which one?

A Draw an arc with center X and a convenient radius.

B Draw arc with center Y and the same radius.

C Draw an arc with any radius and center E that intersects

�� ED

and �� EF .

D Draw an arc with center D.

[Lesson IN3]

16 Rafael’s test scores for the first quarter are 60, 75, 60, 82, 84, and 83. After completing some extra credit work, the teacher agrees to add 6 points to each of Rafael’s two lowest test scores. How will the extra credit points change his mean test grade?

F decrease by 2 points

G increase by 1 points

H increase by 2 points

J increase by 12 points

[Lesson 11-4]

17 Johnetta’s architecture class built a square pyramid out of plywood. They plan to paint the outside of the pyramid, including the bottom. The pyramid has the dimensions shown.

7 ft

6 ft

What is the total surface area of the pyramid?

A 21 square feet

B 84 square feet

C 120 square feet

D 204 square feet

[Lesson 7-8]



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18 Which line graphed below represents the table of values shown?

x y0 –11 12 34 7

F y

x

G y

x

H y

x

J y

x

[Lesson 9-3]

19 Mrs. Taylor wants to reduce the amount she spends on take-out food each month. She plans to reduce her spending $5 per month until she meets her goal. Which equation can be used to determine m, the number of months it will take to reduce her take-out food spending from $75 to $25 per month?

A 75m − 5m = 25

B 75 − 5m = 25

C 5m + 75 = 25

D 1 __ 3 m + 75 = 25

[Lesson 8-3]

20 Figures ABCD and FGHI are similar squares. The sides of FGHI are half the length of the sides of ABCD. If the area of ABCD is 50 square inches, what is the area of FGHI?

F 50 in.2

G 25 in.2

H 12.5 in.2

J 6.25 in.2

[Lesson IN2]



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21 The 2006 earnings for Indiana from scenic and sightseeing transportation were about $3,500,000. The 2007 earnings for this industry were about $4,400,000. Which best describes the change in earnings from 2006 to 2007?

A increase of about 20%

B increase of about 26%

C increase of about 80%

D increase of about 126%

[Lesson 5-3]

22 A grain-storage silo has the shape of a cylinder with a 12-foot diameter and a height of 20 feet. The roof of the silo is cone-shaped, with a 12-foot diameter and a height of 8 feet. What is the total volume of the silo?

F 1,959.36 ft3

G 2,562.24 ft3

H 3,165.12 ft3

J 10,248.96 ft3

[Lesson 7-6]

23 What is the expanded version of the following expression?

2(4x − 3)2

A 64x2 − 36

B 32x2 − 18

C 8x − 6

D 32x2 − 48x + 18

[Lesson 2-9]

24 The scatter plot shows the annual sales for Stan’s Savory Snacks since 1985. Which statement best describes the data in the graph?

1985 1990 1995 2000 2005

15010050

200250300

Thou

sand

s of

Dol

lars

350400450500

Year0

Snack Sales

F On average, snack sales increased about $50,000 each year.

G There is no correlation between the year and snack sales.

H On average, snack sales increased about $10,000 each year.

J On average, snack sales increased $100,000 each year.

[Lesson 9-9]

25 The regular price of a jacket is $78. If there is a 20% discount, what is the sale price of the jacket?

A $15.60

B $58.50

C $62.40

D $93.60

[Lesson 5-3]



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26 Carlos read an article in the local newspaper stating that the city park levy was expected to pass at the next election. Carlos surveyed the people in his neighborhood and gathered the following data.

Survey Results for Carlos’s Neighborhood

Vote Number

For the Park Levy

28

Against the Park Levy

71

From these results, Carlos concluded that the newspaper article was incorrect. Which is the best explanation for why this conclusion might not be reasonable?

F Carlos’s sample does not represent all of the voters in the city.

G The sample size is too large.

H Newspaper surveys are always reliable.

J The data collector is biased.

[Lesson 12-5]

27 A rectangular pool is 5 meters long, 6 meters wide, and 2 meters deep. If water fills the pool at a rate of 2 cubic meters per hour, how long will it take for the pool to be half full?

A 7.5 hours C 30 hours

B 15 hours D 60 hours

[Lesson 4-1]

28 A service company charges a fee of $50 for all service calls plus $40 for each hour it takes to make the repairs. If c is the total cost, and h is the number of hours, which equation best represents this situation?

F c = 50h + 40

G c = 90h

H c = 50 + 40hJ c = 40h − 50

[Lesson 9-3]

29 Shani has a mold in the shape of a cone. The mold has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mold?

A 16.75 cm3 C 502.4 cm3

B 167.47 cm3 D 669.87 cm3

[Lesson 7-6]

30 A cup contains 12 blue straws, 8 green straws, 15 yellow straws, and 13 red straws. If Taro picks a straw at random, what is the probability that it will be blue or green?

F 1 ___ 24 H 1 __ 4

G 1 __ 6 J 5 ___ 12

[Lesson IN9]



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31 Between which two whole numbers is √

___ 95 ?

A 10 and 11

B 9 and 10

C 8 and 9

D 7 and 8

[Lesson 3-2]

32 The figure shows a square inscribed in a circle. If the radius of the circle is 7 √

__ 2 inches, which is the area of

the square?

F 196 in2

G 98 in2

H 56 in2

J 28 √ __

2 in2

[Lesson 3-6]

33 What is the value of x in the following equation?

2x(5 + 4) = 10 � 32

A 2.25

B 5

C 8.2

D 50

[Lesson 8-2]

34 Which of the following represents

the graph of the equation

y = 1 __ 2 x + 2 ?

F y

x

G y

x

H y

x

J y

x

[Lesson 9-3]



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35 Aidan bought a 2-liter bottle of seltzer water. About how many fluid ounces of seltzer water is in the bottle if each liter is about 34 fluid ounces?

A about 17

B about 34

C about 68

D about 128

[Lesson IN1]

36 Evaluate 4–3

___ 44 .

F 4–12

G 4−7

H 1−7

J 41

[Lesson 2-9]

37 Quincy got on the highway at 11:00 A.M. and traveled at an average rate of 50 miles per hour. He continued driving without making any stops. At what time did Quincy arrive at his destination, which was 175 miles from his starting location?

A 12:30 P.M.

B 1:05 P.M.

C 1:30 P.M.

D 2:30 P.M.

[Lesson 4-1]

38 Which is the equation of the line shown below?

y

x

F 4x − 3y = 8 H 3x + 4y = 8

G y = 4 __ 3 x + 2 J y = − 3 __ 4 x − 2

[Lesson 9-3]

39 Which group below is shown in order from least to greatest?

A √ ___

11 , π, 2.97506385…, √ __

5

B √ __

5 , π, 2.97506385…, √ ___

11

C √ __

5 , 2.97506385…, √ ___

11 , π

D √ __

5 , 2.97506385…, π, √ ___

11

[Lesson 3-4]

40 A spinner and a number cube are used in a game. The spinner has four equal sections: red, blue, green, yellow. The faces of the cube are numbered 1 through 6. What is the probability of a player spinning the color red and rolling a 5 or 6?

F 1 ___ 24 H 1 __ 7

G 1 ___ 12 J 7 ___ 12

[Lesson 12-1]



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41 Ashley cut a polystyrene sphere through the center. What shape is the face that is formed by the cut?

A sphere

B oval

C half circle

D circle

[Lesson IN4]

42 Kateri mows lawns to earn money. She bought a lawn mower for $200 and plans to charge $30 per lawn. Kateri wrote this inequality to determine the least number of lawns that she must cut until she has made a $130 profit, which is the cost of the digital camera that she wants to buy. What is the solution to the inequality?

30x - 200 ≥ 130

F x ≥ 2 1 __ 3

G x ≥ 10

H x ≥ 11

J x ≤ 11

[Lesson 8-8]

43 Which is the closest estimate of √ ___

22 ?

A 4

B 4.6

C 5

D 484

[Lesson 3-4]

44 What is the solution to 4(2x − 3) = 7 + 5?

F x = 1.875

G x = 3

H x = 7.5

J x = 12

[Lesson 8-2]

45 The table shows the enrollment in public kindergarten for two Indiana cities. Which is a correct comparison of this data?

Enrollment in Public KindergartenCity 2008 2007 2006 2005 2004Ft. Wayne 4,920 4,937 4,684 4,643 4,524Anderson 1,477 1,424 1,523 1,416 1,365

F The difference between the mean and median enrollment in Anderson is less than the difference between the mean and median enrollment in Ft. Wayne.

G The data for Anderson has a greater range.

H The difference between the mean and median enrollment in Ft. Wayne is less than the difference between the mean and median enrollment in Anderson.

J The median enrollment in Ft. Wayne is twice the median enrollment in Anderson.

[Lesson 11-5]



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Practice by Standard

Standard Indicator 8.1.1

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1 A hydrogen molecule is 1.5 × 10-10 meters in length. What is this number in standard notation?

A 0.000000015

B 0.0000000015

C 0.00000000015

D 0.000000000015

[Lesson 2-10]

2 People have about 25,000,000,000,000 red blood cells in their bodies at any given time. What is that number in scientific notation?

F 2.5 × 1010

G 2.5 × 1011

H 2.5 × 1012

J 2.5 × 1013

[Lesson 2-10]

3 The area of Indiana is about36,417 square miles. What is thisnumber in scientific notation?

A 3.6417 × 10-4

B 3.6417 × 10-3

C 3.6417 × 103

D 3.6417 × 104

[Lesson 2-10]

4 One light year is approximately5.879 × 1012 miles. What is thisnumber in standard form?

F 5.879 million miles

G 5,879,000 miles

H 5,879,000,000 miles

J 5,879,000,000,000 miles

[Lesson 2-10]

5 Which is the least number?

A 7.4 × 10-2

B 7.4 × 10-1

C 7.4 × 100

D 7.4 × 101

[Lesson 2-10]

6 There are 3.1 × 106 hogs in the state of Indiana, accounting for over 5% of the nation’s pork supply. What is the number of hogs in standard form?

F 310,000

G 3,100,000

H 31,000,000

J 310,000,000

[Lesson 2-10]

7 Which number is the greatest?

A 2.4 × 101

B 5.2 × 104

C 7.8 × 103

D 9.1 × 10-2

[Lesson 2-10]

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Practice by StandardStandard Indicator 8.1.2

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1 What is 3-2 as a fraction? Fill in your answer on the response grid below.

[Lesson 2-9]

2 Which expression is equivalent to (a3)-4?

A a-1

B 1 ____________ a3 · a3 · a3 · a3

C 1 __ a4

D 1 __ a3

[Lesson 2-9]

3 The record low temperature for the state of Indiana is -36ºF set on January 19, 1994. Which expression is equivalent to -36?

F (-6)(-6)

G 62

H -(62)

J (-6)2

[Lesson 2-9]

4 Which expression is equivalent to 56?

A 5 · 5 · 5 · 5 · 5 · 5

B 5 + 5 + 5 + 5 + 5 + 5

C 1 _______________ 5 · 5 · 5 · 5 · 5 · 5

D 1 ___________________ 5 + 5 + 5 + 5 + 5 + 5

[Lesson 2-9]

5 What is the value of x5 + x2 if x = -2?

F -36

G -28

H -14

J 36

[Lesson 2-9]

6 If a is a negative integer, which expression has the greatest value?

A a2

B a3

C a-2

D a-3

[Lesson 2-9]



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1 What is the value of x-5

___ x2 when x = -1?

A -1

B 1 __ 7

C 1 __ 5

D 1

[Lesson 2-9]

2 What is the value of 4-3

___ 4-5 ?

F 16

G 4

H 1 ___ 16

J 1 ______ 65,536

[Lesson 2-9]

3 What is the value of (25)(30)(2-2)?

A -40

B 0

C 8

D 64

[Lesson 2-9]

4 How can you write 35 × 34 as a single power of 3?

F 3-1

G 31

H 39

J 320

[Lesson 2-9]

5 What is the value of (32)(3-2)(33)(90)?

A 6

B 9

C 27

D 81

[Lesson 2-9]

6 Which expression is equivalent to a-3

___ a2 if a = 7?

F 1 ___ 7-5

G 1 __ 75

H 7

J 75

[Lesson 2-9]

7 Which of the following expressions is NOT equivalent to b8?

A b × b × b × b × b × b × b × bB b3 × b5

C b4

___ b-4

D b2 + b6

[Lesson 2-9]



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1 Which number is irrational?

A 1 ___ 16

B √__

4

C √__

7

D 13

[Lesson 3-1]

2 Which number is rational?

F π

G √__

8

H 0.12345…

J 1 __ 4

[Lesson 3-1]

3 Which of the following lists shows the numbers in order from least to greatest?

A √__

2 , √__

3 , 1, 2, 3

B 1, 2, 3, √__

2 , √__

3

C 1, √__

2 , 2, √__

3 , 3

D 1, √__

2 , √__

3 , 2, 3

[Lesson 3-1]

4 Which of the following lists shows the numbers in order from greatest to least?

F 3, 4, 5, √__

8 , √___

10

G 5, 4, √___

10 , 3, √__

8

H 5, 4, 3, √__

8 , √___

10

J √___

10 , √__

8 , 5, 4, 3

[Lesson 3-1]

5 The distance from South Bend to Goshen is about 22 miles. Whichnumber is closest to 22?

A √___

22

B √___

44

C √____

250

D √____

500

[Lesson 3-1]

6 Mrs. Greene writes four irrational numbers on the board and asks one of her eighth-grade students to choose the number that is closest to his age. Which one of these irrational numbers did the student most likely choose?

F π

G √___

13

H √____

195

J √______

1,000

[Lesson 3-1]

7 Which of the following numbers is closest to 1 __ 4 ?

A 1 ____ √

___ 17

B 1 ___ √

__ 4

C 1 ___ √

__ 9

D 1 ___ √

__ 3

[Lesson 3-1]



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1 Between which two whole numbers is √

___ 95 ?

A 10 and 11

B 9 and 10

C 8 and 9

D 7 and 8

[Lesson 3-2]

2 Alec uses the Pythagorean Theorem to calculate the distance from the front left corner of his yard to the back right corner. He calculates the distance to be √

____ 924 yards. What is

the approximate distance from the front left corner to the back right corner?

F 3 yards

G 13 yards

H 23 yards

J 30 yards

[Lesson 3-2]

3 Which point on the number line best represents √

__ 8 ?

1 2 3 4

A point A

B point BC point CD point D

[Lesson 3-2]

4 How many whole numbers have square roots greater than 4 butless than 5?

F 10 whole numbers

G 9 whole numbers

H 8 whole numbers

J 1 whole number

[Lesson 3-1]

5 What number has a square root of 16?

A 1

B 4

C 32

D 256

[Lesson 3-1]

6 What is the largest perfect square less than 500?

F 499

G 484

H 441

J 22

[Lesson 3-1]

7 What is the value of ( √__

9 ) 2 ?

A 81

B 9

C 3

D 1

[Lesson 3-1]



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1 Crystal plays basketball for a team in Bloomington. She has made 15 ofthe 25 foul shots she has attempted.What is her free throw shooting percentage?

A 15%

B 40%

C 50%

D 60%

[Lesson 5-1]

2 Rosa bought a music system while at the mall in Evansville. The systemoriginally cost $400 and was on sale for $280. What was the percent of decrease in the price of the music system?

F 120%

G 70%

H 42.9%

J 30%

[Lesson 5-8]

3 If the value of a house triples in ten years, what is the percent of increase in the value of the house?

A 300%

B 200%

C 100%

D 33.3%

[Lesson 5-8]

4 A sweater originally priced at $35 is on sale for 20% off. What doesMei Ling pay for the sweater on saleif she must also pay a 7.75% sales tax?

F $35.75

G $30.17

H $28.08

J $7.54

[Lesson 5-1]

5 Anthony deposits $1,000 into acertificate of deposit (CD) that pays 5.2% interest compounded once each year. How much will Anthony have after 5 years?

A $1,026.00

B $1,052.00

C $1,288.48

D $5,260.00

[Lesson 5-9]

6 How much profit does Brittany make on a pair of earrings if she buys the earrings for $15 and marks them up to 180% of what she paid?

F $42.00

G $27.00

H $12.00

J $1.80

[Lesson 5-1]



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1 Which expression represents theproduct of a number and 6subtracted from 50?

A 6x - 50B 6(x - 50)C 50 - 6xD x(50 - 6)

[Lesson 1-7]

2 Which expression represents 8 less than 3 times a number?

F 3x < 8

G 3x - 8

H 8 - 3xJ 8 < 3x

[Lesson 1-7]

3 The original price for a pair of pants was $32. The pants are on sale for $5 off the original price. What would you pay if you bought two pairs of pants at the sale price?

A $22

B $44

C $54

D $59

[Lesson 1-9]

4 Which inequality represents two times a number is at most 35?

F 2x > 35

G 2x < 35

H 2x ≥ 35

J 2x ≤ 35

[Lesson 8-6]

5 Halima’s grandfather is 6 years more than 3 times as old as Halima. Her grandfather is 63 years old. How oldis Halima?

A 14

B 19

C 23

D 27

[Lesson 8-2]

6 Mr. Davey divides his science class of 27 students into two groups for an experiment. The first group has5 fewer students than the second group. How many students are ineach group?

F 4 and 23

G 8 and 19

H 11 and 16

J 12 and 15

[Lesson 1-9]



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1 What is the solution of 3x - 8 = 31?

A x = -6 1 __ 5

B x = 7 2 __ 3

C x = 12

D x = 13

[Lesson 8-2]

2 What is the solution of 8 - 2x = 2?

F x = 5

G x = 3

H x = -3

J x = -5

[Lesson 8-2]

3 What is the solution of 2.4x + 3.8 = -4.6?

A x = -3.5

B x = -3.3

C x = -0.7

D x = -0.3

[Lesson 8-2]

4 Keon bought a CD and 5 DVDs at the mall in Indianapolis for $92. If the CD cost $12 and the DVDs were all the same price, then what was the price of each DVD?

F $20.00

G $18.00

H $16.00

J $7.25

[Lesson 8-3]

5 What is the solution of the equation3 __ 4 x - 1 __ 3 = 2 1 __ 2 ?

A x = 3 7 __ 9

B x = 2 8 __ 9

C x = 2 1 __ 8

D x = 1 5 __ 8

[Lesson 8-2]

6 What value of b is the solution of the following equation?

3b ___ 4 = 24

F 2

G 8

H 18

J 32

[Lesson 8-2]

7 What value of m is the solution of

4 ( 1 __ 2 m + 1 __ 8 ) = 16?

A 6

B 7

C 7 3 __ 4

D 64

[Lesson 8-2]



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1 What is this expression whensimplified?

2x(3x + 1)

A 5x2 + 1B 6x2 + 1C 6x2 + 2xD 8x

[Lesson 10-7]


(x + 4) 2

F x2 + 8x + 16

G x2 + 16

H 2x + 8

J 2x + 4x + 16

[Lesson 10-7]


4b(b2 + b)

A 4b2 + 4bB 8b5

C 4b5

D 4b3 + 4b2

[Lesson 10-7]

4 What is the sum?

(3n3 - n2) + (n4 + 6n3 - 4n2)

F n4 + 3n3 + 3n2

G n4 + 9n3 - 5n2

H 2n5 + 3n9

J n4 + 9n3 - 3n2

[Lesson 10-7]

5 What is the difference?

(6x2 - 2x + 9) - (4x2 - 6)

A 2x2 - 2x + 15

B 6x2 - 2x + 3

C -10x2 - 2x - 3

D -2x2 - 2x - 15

[Lesson 10-7]


2(x + 6)2

F 2x2 + 72

G 4x + 24

H 2x2 + 24x + 72

J 4x2 + 48x + 144

[Lesson 10-7]



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1 A line contains the points (0, -3),(1, 2), and (-2, y). If the slope isconsistent, what is the value of y?

A -13

B -1

C 13

D 17

[Lesson 9-4]

2 Which best describes the slope of the line in the graph below?

y

x

F The slope is positive.

G The slope is negative.

H The slope is undefined.

J The slope is zero.

[Lesson 9-4]

3 Which equation does not have a straight line as its graph?

A y = 0.5x + 5

B y = -8x

C y = ⎪x⎥ D y = 2

[Lesson 9-3]

4 Which equation describes the graph below?

y

x

F y = -2x

G y = -2x + 1

H y = - 1 __ 2 x + 1

J y = 2x - 1

[Lesson 9-6]

5 Which best describes the slope of a line that contains points (4, 4)and (4, - 4)?

A The slope is positive.

B The slope is negative.

C The slope is undefined.

D The slope is zero.

[Lesson 9-4]

6 The graph of which linear equation will go up from left to right?

F y = -9x - 5

G y = 8 - 4xH y = -2x + 7

J y = 3x - 1

[Lesson 9-6]



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1 What is the slope of y = 2 __ 3 x + 2?Fill in your answer on the response grid below.

[Lesson 9-4]

2 What is the slope of y = 5 - 4x?

A 5

B 1 __ 5

C - 1 __ 4

D -4

[Lesson 9-4]

3 Which is the equation of the line that has a slope of -4 and passes through the point (0, 0)?

F y = 4xG y = 4

H y = -4

J y = -4x

[Lesson 9-6]

4 What is the slope of y - 3x = -1?

A -3

B -1

C 1

D 3

[Lesson 9-4]

5 What is the equation of a line with slope - 2 __ 3 that passes through point (3, 2)?

F y = - 2 __ 3 x + 4

G y = - 2 __ 3 x + 5

H y = 2 __ 3 x - 2

J y = 2 __ 3 x + 5 __ 3

[Lesson IN6]

6 What is the slope of the line with the equation y - 3 = 3(x + 2)?

A -4

B 2

C 3

D 6

[Lesson IN6]



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1 What is the y-intercept of the graph of 4x + 3y = 24?

A -6 C 6

B -8 D 8

[Lesson 9-3]

2 Which is the graph of 2x - 3y = 6?

F y

x

G y

x

H y

x

J y

x

[Lesson 9-3]

3 Which is the equation of the line graphed below?

y

x

A y = 2x + 4

B y = 1 __ 2 x + 4

C y = 2x - 4

D y = 1 __ 2 x - 4

[Lesson 9-6]

4 The table shows the relationship between the number of days a library book is overdue d, and the fine f, when the book is overdue.

d (days) 1 2 3 4 5

f (cents) 10 20 30 40 50

Which of the following equationsrepresents the relationship?

F d = 10fG f = d + 10

H f = 10dJ f = 10(d + 1)

[Lesson 9-3]



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1 Which equation represents a linear function when graphed?

A y = 2x + 1

B y = 2x2 + 1

C y = 2x3 + 1

D y = ⎪2x⎥ + 1

[Lesson 10-1]

2 Which equation represents a nonlinear function when graphed?

F y = 92

G y = 9xH y = -9x

J y = 9x2

[Lesson 10-1]

3 Which statement is true about the function y = ⎪6x⎥ - 4?

A When graphed, it is a horizontal line.

B When graphed, it is a vertical line.

C It is a linear function.

D It is a nonlinear function.

[Lesson 10-1]

4 Which is the graph of a linear function?

F y

x

G y

x

H y

x

J y

x

[Lesson 10-1]



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1 Which equation below can you use to find the measure of angle A?

x°

2x°

A

A x · 2x = 90

B x + 2x + 90 = 180

C 2x - x - 90 = 180

D 2x + x = 180 + 90

[Lesson 8-3]

2 Mandy is organizing a trip for herbasketball club to see a Pacer’s game. The cost to rent a bus is $150. Tickets cost $25 per person minus a group discount of $8 per ticket. Whatfunction represents the cost per person?

F f(p) = $150 + $33p

___________ p

G f(p) = $150p + $25

H f(p) = $150 + $17p ÷ p

J f(p) = $150 + $17p

___________ p

[Lesson 9-2]

3 The oldest child in the Sanchez family is 3 times as old as the youngest child, and the middle child is 4 years older than the youngest child. The total of the ages of the three children is 29. What is the age of the middle child?

A 5

B 9

C 10

D 15

[Lesson 8-3]

4 Maria is making paper flowers todecorate for a dance. The function below represents the number offlowers she can make in h hours.

f(h) = 15h - 5

How many flowers will she make in5 hours?

F 80

G 70

H 50

J 15

[Lesson 9-2]

5 A birthday party at a rollerskating rink costs $100 plus $6 per person. What is the cost for a party if 30 people attend?

A $100

B $180

C $280

D $300

[Lesson 9-2]



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1 What tool do you use to measure an angle?

A a compass

B a ruler

C a protractor

D a calculator

[Lesson IN3]

2 If you use a compass and straightedge to construct perpendicular segments, which statement is true about the segments?

F The two segments do not intersect.

G The two segments form90-degree angles.

H The two segments form one acute angle and one obtuse angle.

J The two segments form two obtuse angles.

[Lesson IN3]

3 What tool would be most appropriate to use to check to make sure you bisected a segment correctly?

A a ruler

B a calculator

C a pencil

D a protractor

[Lesson IN3]

4 Which picture shows a line segment correctly bisected using a compass and straightedge?

F

G

H

J

[Lesson IN3]


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1 What is the name of this solid?

A pyramid

B cone

C prism

D cylinder

[Lesson 7-4]

2 How would you describe this shape?

F 3 faces, 6 vertices, 9 edges

G 5 faces 12 vertices, 3 edges

H 2 faces, 12 vertices, 6 edges

J 5 faces, 6 vertices, 9 edges

[Lesson 7-4]

3 Which solid can have four triangular faces?

A pyramid

B cone

C sphere

D cylinder

[Lesson 7-4]

4 Which of the following figures could represent the top view of a triangular prism?

F

G

H

J

[Lesson 7-4]

5 Winona cut a polystyrene cylinder as shown

What is the shape of her cross section?

A square

B rectangle

C circle

D oval

[Lesson IN4]



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1 Lucas is cutting a 10-inch by 10-inch square from a circular piece of fabric as shown in the diagram. About what size is the smallest diameter of circular fabric from which Lucas can cut his square?

10 in.

10 in.

A 10 in. C 14 in.

B 12 in. D 18 in.

[Lesson 3-6]

2 The diagram shows the side view ofa support bracket used with a bookshelf.

Shelf brace

Wall brace

Support rod

14 in.

20 in.

What is the approximate length of the support rod?

F 6 in. H 24 in.

G 18 in. J 28 in.

[Lesson 3-5]

3 A 26-foot rope is used to brace a tent pole at the Pulaski County Fair. The rope is anchored 10 feet from the base of the pole. How tall is the tent pole?

10 ft

26 ft

Tent

pole

A 21.8 ft C 28 ft

B 24 ft D 30 ft

[Lesson 3-5]

4 Abdul is putting a fence around his garden to keep rabbits away from his vegetables. The diagram below shows the dimensions of the garden.

?

13 ft

14 ft

12 ft

Abdul measures three sides of the garden, but his measuring tape was not long enough to measure the fourth side. What is the garden’s perimeter?

F 19 ft H 48 ft

G 39 ft J 58 ft

[Lesson 3-6]



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1 A school bus driver earns $10.20 per hour. How much does a driver earn for a 7-hour day?

A $3.20

B $71.40

C $714.00

D $7,140.00

[Lesson 4-1]

2 Gold has a density of 19.3 g/cm3.This means that the mass of 1 cubiccentimeter of gold is 19.3 grams. What is the approximate mass ofa cube of gold that measures0.5 centimeters on each edge?

F 2.4 g

G 29 g

H 38.6 g

J 154.4 g

[Lesson 4-1]

3 Lu-Chan burned 275 calories in25 minutes of jogging. At this rate, how many calories did she burn in15 minutes?

A 11 calories

B 150 calories

C 165 calories

D 225 calories

[Lesson 4-1]

4 Roger rides his bike at an average rate of 12 miles per hour. At this rate, how long does it take him to ride the10 miles from his house to the nature preserve?

F 120 minutes

G 90 minutes

H 50 minutes

J 40 minutes

[Lesson 4-1]

5 A lion is a great hunter because it can reach speeds as high as 50 miles per hour. At this speed, about how many feet to the nearest tenth would a lion run in 1 second? Fill in your answer on the response grid below.

[Lesson 4-1]



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1 Shown below is a scale drawing of a pool table made in Jeffersonville, IN. If the actual length of the table is96 inches, what is the area of the table?

12 cm

5 cm

A 768 in2

B 1,843.2 in2

C 3,840 in2

D 22,118.4 in2

[Lesson IN2]

2 The dimensions of two cubes are shown below

n cm3n cm

The volume of the smaller cube is125 cubic centimeters. What is the volume of the larger cube?

F 375 cm3

G 1,125 cm3

H 3,375 cm3

J 15,625 cm3

[Lesson 7-9]

3 The two trapezoids below are similar. What is the area of the smaller trapezoid?

11 cm

8 cm9 cm

16.5 cm

12 cm

x

A 19 cm2

B 49.4 cm2

C 55.1 cm2

D 57 cm2

[Lesson IN2]

4 Triangle ABC is similar to triangle XYZ.

40

35

32 24

28

x

What is the value of x?

F 34.29

G 30

H 21.9

J 19.2

[Lesson IN2]



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1 What is the volume of a squarepyramid with a base side length of5 ft and a height of 15 ft?

A 375 ft3

B 125 ft3

C 75 ft3

D 25 ft3

[Lesson 7-6]

2 What is the volume of the cone to the nearest hundredth?

8 in.

12 in.

F 50.24 in3

G 200.96 in3

H 602.88 in3

J 803.84 in3

[Lesson 7-6]

3 A sphere has a diameter of 10 inches. What is the volume of a sphere to the nearest hundreth?

A 104.67 in3

B 523.33 in3

C 1,570 in3

D 4,186.67 in3

[Lesson IN5]

4 What is the surface area of the pyramid?

5 cm

4 cm 4 cm

F 96 cm2

G 65 cm2

H 56 cm2

J 26 cm2

[Lesson 7-8]

5 The official Indiana Fever WNBAbasketball has a radius of 4.6 inches. To the nearest whole number, how many square inches of leather are used in covering a WNBA basketball?

A 1,817 in2

B 1,063 in2

C 266 in2

D 116 in2

[Lesson IN5]

6 What is the volume of a cone witha radius of 6 inches and a height of24 inches?

F 904.32 in3

G 2,712.96 in3

G 2,617.28 in3

J 8,138.88 in3

[Lesson 7-6]



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1 What is the volume of the figure shown below?

9 m

10 m

8 m

3 m

A 720 m3

B 840 m3

C 960 m3

D 1,080 m3

[Lesson 7-6]

2 A table in a conference room has the dimensions shown in the diagram below. What is the approximate area of the table top?

6 ft

15 ft

F 28 ft2

G 90 ft2

H 104 ft2

J 118 ft2

[Lesson 7-3]

3 In the figure below, the diameter of the circle is 5 inches. To the nearest square inch, what is the area of the shaded region?

5 in.

A about 54 in2

B about 25 in2

C about 20 in2

D about 5 in2

[Lesson 7-3]

4 The three-dimensional figure is made of stacked cubes. Each side of the cubes measures 1 inch. What is the volume of the figure?

F 12 in3

G 24 in3

H 30 in3

J 36 in3

[Lesson 7-4]



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1 About how many hours are there in a 365-day year?

A 7,300 h

B 8,760 h

C 10,950 h

D 21,900 h

[Lesson IN1]

2 Indiana banana is another name for a pawpaw. If a pawpaw weighs350 grams, how many kilogramsdoes it weigh?

F 350,000 kg

G 35 kg

H 3.5 kg

J 0.35 kg

[Lesson IN1]

3 How many liters are equivalent to 45,600 milliliters?

A 0.456 L

B 4.56 L

C 45.6 L

D 456 L

[Lesson IN1]

4 Which speed in feet per second is equivalent to 60 miles per hour?

F 5,280 ft/s

G 3,600 ft/s

H 880 ft/s

J 88 ft/s

[Lesson IN1]

5 A speed limit of 65 kilometers per hour in Vancouver, BC, is about the same as what speed limit in miles per hour in Kokomo, IN? (1 mi ≈ 1.6 km)

A about 25 mi/h

B about 40 mi/h

C about 65 mi/h

D about 105 mi/h

[Lesson IN1]

6 The movie Hoosiers is 114 minutes long. What is the length of the movie in hours?

F 1.5 hour

G 1.9 hour

H 2.3 hours

J 2.5 hours

[Lesson IN1]



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1 A survey found that 75% of the200 sixth graders in Cloverdale were born in Indiana. A student claimed that 75% of Cloverdale’s residents were born in Indiana. Why is thisclaim not valid?

A The sample is too small.

B The sample is not a randomsample of all Cloverdale residents.

C The survey was probably only at one or two schools.

D The survey should have included high school students.

[Lesson IN7]

2 A radio station claimed 3 out of 5 people preferred their station. Which information about a survey they used would best support this claim?

F Five people were surveyed.

G People who took the survey were given a free CD.

H People going into the radio station were the only ones surveyed.

J People were chosen at random from the phone book for the survey.

[Lesson IN7]

3 A pharmaceutical company claimsthat 90% of doctors surveyedrecommended antacid X. Whichstatement would suggest that the maker’s claim is misleading?

A The survey included only doctors who were supplied with samples of antacid X to be given to patients.

B The survey included both male and female doctors.

C The survey was conducted over a one-month period.

D The survey asked doctors to choose from among 6 different antacids.

[Lesson IN7]

4 Jonas surveyed people leaving arecycling center to determine theattitudes of Americans toward water pollution. He found that 86% were concerned about water pollution. Which is the best explanation of why the results of the survey might NOTbe valid?

F The survey did not includepeople in other countries.

G Participants were not surveyedby mail or by phone.

H The sample was not representative of the population to which he generalized.

J The survey was carried out bya student.

[Lesson IN7]



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1 Students in Mr. Simpson’s math class wanted to find out which restaurant in town people liked best. Students took turns standing outside Cazadores Restaurant to survey customers as they were leaving the restaurant. Of the 300 people surveyed, 223 said that Cazadores was their favorite place to eat. From the survey results, the class concluded that Cazadores was the favorite restaurant among all people of their town. Which is the best explanation for why thisconclusion might NOT be valid?

A The sample was biased.

B The sample was not random.

C The sample size was too small.

D The sample size was too large.

[Lesson IN7]

2 A local newspaper wants to findout the opinions of city residentsregarding a new senior center. To do this, the newspaper’s editor plans to survey a random sample of adultresidents. From which of these listings should the editor draw the names of people to survey?

F city and county workers

G small business association

H members of the senior health clinic

J the local telephone directory

[Lesson IN7]

3 To determine the sixth grade’s favorite subject, Anita asked 100 sixth graders whether English or mathematics is their favorite. Why is her survey biased?

A Anita should have asked students to name their favorite subject without giving choices.

B Anita should have also asked teachers.

C Anita’s sample is too small.

D Anita should have asked about physical education.

[Lesson IN7]

4 The student council passed out a questionnaire to all 900 studentsin their school asking about thestudents’ lunch preferences. Of the28 students who returned the survey, 18 said that they would like to have outside restaurants sell food in the cafeteria. Based on the results, they concluded that most students want restaurant food available in thecafeteria. Why might the conclusion NOT be valid?

F The sample was not random.

G The sample group did notrepresent the whole population.

H Most of the students who werequestioned did not answer the survey.

J The sample size was too large.

[Lesson IN7]

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The following chart shows the points the Indiana Hoosier’s Mens basketball team scored in the first 10 games of the season. Use this chart for Questions 1–2.

2007-200899 100 95 70 65

83 64 84 70 100

2008-200983 60 50 54 81

72 58 54 66 54

1 Which team had the higher mean and median?

A 2007-2008

B 2008-2009

C The 2007-2008 team had a higher mean but a lower median.

D The 2007-2008 team had a lower mean but a higher median.

[Lesson 11-4]

2 If the team scored 73 points in the 11th game of the 2007-2008 season, how would the mean and median be affected?

F Both measures would increase.

G Both measures would decrease.

H The mean would increase but the median would decrease.

J The median would increase but the mean would decrease.

[Lesson 11-4]

Emily’s math quiz scores were92, 80, 92, 77, 100, 82, 93, and 56. Use this list to answer Questions 3–4.

3 Which measure of central tendency should Emily use to obtain her highest “average” score?

A mean

B median

C mode

D range

[Lesson 11-4]

4 If Emily takes another quiz and scores a 94, how will the mean be affected?

F increase 1 point

G increase 2 points

H increase 11.75 points

J decrease 2 points

[Lesson 11-4]

5 For the following data set, which has the greatest value: the mean, median, mode, or range?

4.2 m, 6.3 m, 7.3 m,4.2 m, 5.4 m, 5.0 m

A mean

B median

C mode

D range

[Lesson 11-4]

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The lengths, in feet, of ten of Indiana’scovered bridges are displayed below in a box-and-whisker plot. Use the box-and-whisker plot to answer Questions 1–6.

40 60 80 100 120 140 160 180 200 220

1 What appears to be the median length of the covered bridges?

A 41 ft

B 60 ft

C 80 ft

D 170 ft

[Lesson 11-6]

2 Which number best represents the upper quartile?

F 60

G 80

H 170

J 207

[Lesson 11-6]

3 Which number best represents the lower extreme?

A 41

B 60

C 80

D 207

[Lesson 11-6]

4 What appears to be the length of the longest covered bridge?

F 41 ft

G 60 ft

H 170 ft

J 207 ft

[Lesson 11-6]

5 About what is the interquartile range?

A 9.5

B 90.5

C 110

D 166

[Lesson 11-6]

6 How does the data above the median compare to the data below it?

F There are more bridges that are longer than the median than bridges that are shorter.

G The range of bridges above the median is greater than below.

H There are more bridges that are shorter than the median than bridges that are longer.

J The range of bridges below the median is greater than above.

[Lesson 11-6]



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1 The scatter plot shows test scores and time spent studying for a test. What can you conclude about the relationship between hours of study and test scores?

Test

Scor

e

6080

2040

0

100

2 4Hours of Study

A More time spent studying did not improve test scores.

B The more time studying, the higher the test score is.

C The more time spent studying, the lower the test score is.

D Test score are not related totime spent studying.

[Lesson 9-9]

2 The scatterplot compares years ofeducation to income in thousands of dollars. What kind of correlation is shown?

Inco

me

(thou

sand

sof

dalla

rs)

30

20

40

10

0 1210 1614 18Years of Education

F negative correlation

G no correlation

H a correlation of 1

J positive correlation

[Lesson 9-9]

3 The scatterplot shows the normal July temperatures and the latitudes north of the equator for 10 locations in the United States. Which statement is best supported by the graph?

50 60 70 80 90

40

20

60

Latit

ude

(°N)

80

Temperature (°F)0

Temperature and Latitude

A The temperature increasesas the latitude increases.

B Temperature and latitude are not related.

C The temperature increasesas the latitude decreases.

D As the latitude changes, the temperature remains constant.

[Lesson 9-9]



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1 Suppose you flip a coin three times and get heads, then tails, and then tails again. If you flip the coin one more time, what is the probability of getting heads?

A 1

B 3 __ 4

C 1 __ 2

D 1 __ 8

[Lesson IN9]

2 You take marbles one at a timewithout replacement from a bagcontaining 10 yellow and 5 greenmarbles. The first two marbles you take out are yellow. What is theprobability that the third marble will be yellow?

F 9 ___ 15

G 8 ___ 15

H 8 ___ 13

J 10 ___ 15

[Lesson IN9]

3 What is the probability Lee rolls a number cube twice and gets a 5each time?

A 1 __ 6 C 1 ___ 30

B 5 ___ 36 D 1 ___ 36

[Lesson IN9]

4 In Miko’s math class there are 11 boys and 8 girls. The teacher has randomly picked two boys to put problems on the board. If she randomly chooses a third student from the remainder of the class, what is the probability she picks a girl?

F 0 H 8 ___ 19

G 1 __ 8 J 8 ___ 17

[Lesson IN9]

5 Carlotta places tiles with thefollowing letters into a bag.

I N D I A N A

She draws two tiles randomly without replacing them. What are the chances that both letters she draws are vowels?

A 2 __ 7 C 12 ___ 49

B 15 ___ 14 D 16 ___ 49

[Lesson IN9]



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The table below shows the possible outcomes when you roll two number cubes. Use the table to answer Questions 1–3.

1, 1 2, 1 3, 1 4, 1 5, 1 6, 1

1, 2 2, 2 3, 2 4, 2 5, 2 6, 2

1, 3 2, 3 3, 3 4, 3 5, 3 6, 3

1, 4 2, 4 3, 4 4, 4 5, 4 6, 4

1, 5 2, 5 3, 5 4, 5 5, 5 6, 5

1, 6 2, 6 3, 6 4, 6 5, 6 6, 6

1 How many ways are there to roll a sum of 9 on the number cubes?

A 1 way

B 2 ways

C 4 ways

D 6 ways

[Lesson 12-1]

2 What is the probability of rolling a sum of 7?

F 1 ___ 12

G 1 __ 6

H 7 ___ 36

J 1 __ 2

[Lesson 12-1]

3 What is the probability of rolling a sum that is less than 4?

A 1 ___ 36

B 1 ___ 12

C 1 __ 2

D 1

[Lesson 12-1]

4 Alana has 5 different headbands and7 different T-shirts. She picks one headband and one T-shirt without looking. How many combinations of headbands and T-shirts are possible?

F 12 combinations

G 24 combinations

H 30 combinations

J 35 combinations

[Lesson 12-1]

5 An ice cream shop offers chocolate, vanilla, and strawberry ice cream with either sprinkles or nuts. It can be served in a cone or cup. If Jamal chooses his ice cream randomly, what is the probability that it will be vanilla ice cream with sprinkles in a cup?

A 1 __ 4 C 1 ___ 12

B 1 __ 9 D 8 __ 6

[Lesson 12-1]


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Practice TestApplied Skills

PDF 2nd

Write your answers in the space provided. Be sure to show all your work.

1 The function y = 10,000 - 12x can be used to determine the amount of water y left in a pool after x hours. The graph of the function is shown below.

y

x

Num

bero

fGal

lons

2,0003,0004,0005,0006,0007,0008,0009,000

10,000

1,000

0 200 400 600 800 1,000

Number of Hours

y = 10,000 – 12x

Find the slope and describe its meaning in this problem.

Show All Work

Answer

Find the y-intercept and describe its meaning in this problem.

Answer

According to the graph, after how many hours will there be 4,000 gallons left in the pool?

Answer

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Practice TestApplied Skills (continued)

PDF 2nd

2 The price of a certain brand of coffee goes from $8 a bag to $10 a bag.

What is the percent of change in the price?

Show All Work

Answer

Is the percent of change a percent of increase or a percent of decrease? Explain.

Answer

3 Lamar is choosing between two boxes for shipping. Box 1 is 250 cubic inches. Box 2 is 4,000 cubic centimeters. (Use 1 inch = 2.54 centimeters.)

Which box is larger?

Show All Work

Answer

By how much is it larger?

Answer


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4 The equation c = 50 + 3p can be used to determine the cost c to rent a skating rink for a party for p people.

Graph the equation on the coordinate grid below.

Show All Work

Answer

c

p

Cost

(Dol

lars

)

40

50

2030

10

0

60

7080

90

4 8 12 16Number of People

Ice Rink Rental

Use the graph to determine the cost of having a party for 10 people. Check your answer algebraically.

Answer

If you were having a party, what is the maximum number of people that you could have at the party if you had $75? Check your answer algebraically.

Answer



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PDF 2nd

5 Chun can type 20 pages in 3 hours while Eva can type 30 pages in 4 hours.At what rates can Chun and Eva type?

Answer Chun: pages per hour, Eva: pages per hour

How many pages can Chun type in 12 hours?

Show All Work

Answer pages

How long will it take Eva to type a 120 page report?

Answer hours

6 A coat was originally priced at $125. It has been marked with a discount of 25% off.What is the sale price of the coat?

Show All Work

Answer

If the coat that was originally priced $125 is discounted to $62.50, what percent is the coat discounted?

Answer


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PDF 2nd

7 The table shows the number of inches per given number of feet.

Feet Inches1 12

2 24

3 36

4 48

What is the ratio of inches to feet?

Answer

Plot the points on the coordinate grid below and draw a line of best fit.

Num

ber o

f Inc

hes

40

20

30

50

70

10

0

60

80

1 2 43 85 6 7Number of Feet

What is the slope of the line?

Show All Work

Answer

Why are the slope and the ratio the same?



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PDF 2nd

8 The interior of any polygon can be divided into triangular regions using its diagonals from one vertex. The table shows the number of triangular regions and the sum of the measures of the interior angles for polygons having different number of sides. Complete the table for the missing values.

number of sides (n) 3 4 5 6 7

number of triangular regions 1 2 3 4

sum of measures of interior angles (S) 180° 360° 590° 720°

Use the information in the table to derive a formula to determine the sum of the measures of the interior angles in an n-gon.

Show All Work

Answer

Determine the sum of the measures of the interior angles in an 11-gon.

Show All Work

Answer

Is the formula you used for finding the sum of the measures of the interior angles a linear function? Why or why not?



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Practice TestSession 1

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1 Which number is irrational?

A 1 __ 4

B √ __

3

C √ __

9

D 2.3

2 What is (x + 4)2 in expanded form?

F 2x + 8

G x2 + 16

H x2 + 4x + 16

J x2 + 8x + 16

3 Which equation represents a nonlinear function when graphed?

A y = 3x + 1

B y = 32 + 1

C y = -3x + 1

D y = 3x2 + 1

4 How many square feet are there in a rectangular flowerbed that measures 6 yards by 15 yards?

F 30 ft2

G 90 ft2

H 270 ft2

J 810 ft2

5 Which drawing shows a front view of the three dimensional figure shown?

A

B

C

D

Fill in the bubble next to the correct answer.

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Practice TestSession 1 (continued)

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6 What is 5-2 • 56 ?

F 25-12

G 5-12

H 54

J 254

7 If you divide 4 more than twice a number by 0.1, the result is 3.4. Which equation represents this information?

A 2n + 4 ___ 0.1 = 3.4

B2n + 4 ______

0.1 = 3.4

C 2n ___ 0.1

+ 4 = 3.4

D 2n ___ 0.1

= 3.4

8 Which tool would you use to measure the length of a line segment?

F ruler

G compass

H calculator

J pencil

9 The water surface area of Lake Michigan is 4,920 km3. What is that number in scientific notation?

A 4.92 × 102

B 4.92 × 103

C 4.92 × 104

D 4.92 × 105

10 Which is an equation for the line passing through the point (6, -1) and

having slope 1 __ 3 ?

F y = 1 __ 3 x - 5

G y = 1 __ 3 x - 3

H y = 1 __ 3 x + 3

J y = 1 __ 3 x - 7

11 A cold front caused the temperature to drop from 60˚ to 48˚ within 2 hours. What is the percent of decrease in temperature cause by the cold front?

A 12%

B 20%

C 25%

D 80%

12 What is the largest perfect square less than 100?

F 9

G 64

H 81

J 99



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13 What is the value of 3-4? Fill in your answer on the response grid below.

14 Which equation represents the data in the table below?

x y0 10

5 0

10 10

A y = 2 C y = -2x + 10

B y = -2x + 6 D y = 2x - 6

15 Jorge’s Bike Rental charges a fee of $30 for a two-day rental. Each additional day costs $10 per day. What is an equation that represents the cost c of renting a bike for n days?

F 30 + 10n = cG 10 + 30n = c

H 30 + 10(n - 2) = cJ 30n + 10(n - 2) = c

16 Josie works at a computer store. She wants to ask her boss for a raise, so she makes a graph to show how her sales have increased over the past six months.

Num

bero

fCo

mpu

ters

Sold

100

0

101102103104105

Jun Ju

lAu

gSe

pOct

Nov

Months

Josie’sComputer Sales

Josie’s boss thinks the graph is misleading. Which of the following best explains why the graph is misleading?

A The intervals are not uniform on the y-axis.

B The data set is too small.

C The intervals on the y-axis make the increase in sales appear significant.

D The data should be displayed as a circle graph rather than a line graph.



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17 How much shorter is the direct path from A to C than the path that goes from A to B to C?

3.2 km

2.4 km

F 0.8 km

G 1.6 km

H 4 km

J 5.6 km

18 The area of square ABCD is 400 square centimeters. What is the area of a square that has a side length of one-half of the side length of square ABCD?

A 100 cm2

B 150 cm2

C 200 cm2

D 250 cm2

19 You flip 4 coins all at once. What is the probability that you will get tails on all 4 coins?

F 1 ___ 16 H 1 __ 8

G 1 __ 4 J 1 __ 2

20 The area of the pentagonal base of the solid figure below is 45 square inches. Which of the following formulas can be used to find the volume of the figure?

h

A V = 1 __ 3 (45)h

B V = 4 __ 3 (45)h

C V = 45hD V = 45Bh

21 What is true of a line that has no x-intercept?

F The line is parallel to the x-axis.

G The line is vertical.

H The line has positive slope.

J The line has undefined slope.



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22 What is the area of the figure shown below?

3 cm 3 cm

6 cm

A about 32.13 cm2

B about 37.27 cm2

C about 42.08 cm2

D about 46.26 cm2

23 Lloyd was absent 9 of the 180 scheduled days of school. What part of the school year was he absent?

F 5%

G 9%

H 50%

J 95%

24 In a box-and-whisker plot, what is the median of the lower half of a data set called?

A median

B lower quartile

C lower extreme

D upper quartile

25 Hannah and Deon are playing a game using a fair spinner and a fair number cube. The spinner has 8 sections numbered 1 through 8. The faces of the cube are labeled A, B, C, D, E, and F. Hannah will roll the number cube and spin the spinner. What is the probability of rolling a vowel and spinning an even number? Fill in your answer on the response grid below.

26 A shoebox is the shape of a rectangular prism. It has a length of 10 inches, a width of 6 inches, and a height of 4 inches. Without considering overlapping, how many square inches of cardboard must be used in making the box?

F 248 in2

G 240 in2

H 124 in2

J 20 in2



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27 A ramp rises 3 feet over a span of 15 feet. What is the length of the ramp to the nearest tenth of a foot?

3 ft

15 ft

A 16.2 ft

B 15.3 ft

C 14.7 ft

D 13.5 ft

28 What is the value of √ ____

729 ? Fill in your answer on the response grid below.

29 In a survey of a random sample of math students taking algebra, 75% of the students said they prefer algebra to geometry. Why is it NOT valid to conclude that most math students prefer algebra to geometry?

F 75% is not large enough a percentage to say that most students prefer algebra.

G The number of the students in the sample is not known.

H Surveying only algebra students out of all math students is likely to bias the results.

J Teachers should have been included in the survey.

30 On July 24, 2008, the minimum hourly wage in Indiana was increased to $6.55 from $5.85. How much more did a worker earning minimum wage earn in a 40 hour week after July 24, 2008?

A $0.28

B $0.70

C $28.00

D $70.00



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31 During the months of June and July, Dayana worked at the Indianapolis Zoo. She worked weekly totals of 32 hours, 28 hours, 38 hours, 40 hours, 25 hours, 38 hours, 30 hours, and 36 hours. What is the median number of hours that Dayana worked each week?

F 40 h

G 36 h

H 34 h

J 32 h

32 A number n is at least 6 but no more than 10. Which of the following describes this situation?

A 6 < n and n < 10

B 6 ≤ n and n ≤ 10

C 6 ≤ n and n > 10

D 6 ≤ n and n ≥ 10

33 The length of the light waves that produce the color red is about 7 × 10-7 meters. What is that length in standard notation?

F 0.00000007 m

G 0.0000007 m

H 7,000,000 m

J 70,000,000 m

34 The scatter plot shows the relationship between a person’s height and the amount of time that person spends reading books. Which conclusion can be drawn from the scatter plot?

Heig

ht (i

nche

s)

Reading Time (hours)

A As a person’s height increases, the amount of time that person spends reading books increases.

B A person’s height and the amount of time that person spends reading books are not related.

C As a person’s height decreases, the amount of time that person spends reading books increases.

D As a person’s height increases, the amount of time that person spends reading books decreases.

35 What is the solution of -15 = n + 15?

F n = 0

G n = 30

H n = 15

J n = -30

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Practice TestSession 2

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Fill in the bubble next to the correct answer.

1 Find the volume of the irregular object shown.

5 m

8 m

12 m

4.5 m

2 m

A 38.4 m3 C 192 m3

B 143 m3 D 4,320 m3

2 On a recent math test in Mrs. Hill’s class, the scores were 75, 82, 90, 85, 80, 89, 91, 70, 79, 88, 89, and 72. Find the mean for this set of data. Fill in your answer on the response grid below.

3 The distance from the sun to Jupiter is 4.84 × 108 miles. What is the distance expressed in standard notation?

F 48,400,000,000 miG 4,840,000,000 miH 484,000,000 miJ 48,400,000 mi

4 Yorktown has more than 130,000 registered voters. In a survey, 7 of 10 voters in the Crestwood community of Yorktown said they planned to vote for candidate A for mayor, 1 planned to vote for candidate B, and 2 were undecided. Is it valid to predict that candidate A will win the election?

A Yes, because 70% is a majority of the voters.

B No, because the results may not be typical of results throughout the city.

C Yes, because even if the undecided voted for candidate B, candidate A will still win.

D Yes, because Crestwood voters are well informed.

IN79-IN86_PTS2G8_894000.indd 79IN79-IN86_PTS2G8_894000.indd 79 7/3/09 8:06:28 AM7/3/09 8:06:28 AM


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5 A bag contains 4 white marbles, 4 red marbles, and 4 blue marbles. If you pick one marble without looking and flip a coin, what is the probability in fraction form of choosing a red marble and getting tails? Fill in your answer on the response grid below.

6 Between which two integers does √

___ 35 lie?

F 4 and 5 H 5 and 6G 6 and 7 J 3 and 4

7 Which equation shows twice the sum of a number and five is 7?

A 2n + 5 = 7 B 5 + 2n = 7 C 2(n + 5) = 7D 5(n + 2) = 7

8 In a survey of 350 households, 70% separate their garbage for recycling. How many of the 350 households do not separate their garbage?

F 30 householdsG 70 householdsH 105 householdsJ 245 households

9 Three notebooks and a pen cost $5.60. If the pen costs $1.25, what is the cost of each notebook?

A $1.45B $1.87C $2.18D $4.35

10 According to the U.S. Census Bureau, almost 13% of Indiana’s 2007 population of more than 6,000,000 is 65 years or older. About how many people in Indiana are 65 or older?

F 7,800,000 peopleG 780,000 peopleH 78,000 peopleJ 7,800 people



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11 Which is the value of x to the nearest tenth?

5 cm

8 cm

13 cm

y

x

A 6.4 cmB 12.8 cmC 14.5 cmD 17.7 cm

12 What is the equation of the line shown below?

-2-3-4

-2-3-4 2 43

1

1

234

y

x

F y = 3 __ 4 x + 3

G y = - 4 __ 3 x + 4

H y = - 3 __ 4 x + 3

J y = 4 __ 3 x - 4

13 The bar graph shows the average number of hours that people in different age groups spend watching television each week.

14–1710–136–92–5

14

1920

10

05

Tim

e (H

ours

)

Age

T.V. Viewing by Age

Which statement best explains why the graph is misleading?

A The age intervals are too broad.B The title of the graph is

misleading.C The intervals on the vertical scale

are not uniform.D The bar lengths do not correctly

reflect the data.



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14 Miguel has a bag with 2 red marbles, 4 blue marbles, and 6 green marbles in it. Miguel will draw a marble from the bag without looking, then draw a second marble without replacing the first. What is the probability that Miguel will draw 2 red marbles?

F 1 ___ 36

G 1 ___ 66

H 1 ____ 120

J 1 ____ 144

15 What is the value of ( 3 __ 5 )

-2

written in fraction form? Fill in your answer on the response grid below.

16 In the late 1970s a pyramid was almost built in Bedford, Indiana. The square-based pyramid was supposed to be 95 feet tall. If the measurement of one side of the base would have been 80 feet, what would the volume of the pyramid have been to the nearest cubic foot?

A 25,333 ft3 B 76,000 ft3 C 202,667 ft3

D 608,000 ft3

17 Which tools would be most appropriate to use to construct an angle bisector?

F straightedge and compassG calculator and pencilH protractor and abacusJ yard stick and scissors

18 What is the solution of the following equation?

3a ___ 6 = -10

A a = 20 B a = 0 C a = -10D a = -20



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19 75 is more than 8 times the quotient of a number and 3. Which inequality represents this description?

F 8 ( n __ 3 ) > 75

G 75 ≥ 8 ( n __ 3 )

H 75 > 8 ( n __ 3 )

J 8 ( n __ 3 ) ≥ 75

20 What is the best name for the solid shown below?

A coneB cylinderC pyramidD rectangular prism

21 The two cylinders shown are similar.The volume of the smaller cylinder is 16π cubic feet. What is the volume of the larger cylinder?

r = 2 ft

r = 4 ft

F 32π ft3

G 64π ft3

H 96π ft3

J 128π ft3

22 The area of a garden is 100 square yards. What is this area in square feet?

A 900 ft2

B 300 ft2

C 200 ft2

D 100 ft2



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23 Which number is rational?

F π

G √ �� 13

H √ � 9

J √ �� 21

24 In a box-and-whisker plot, what is the greatest value of the set of data called?

A medianB lower extremeC upper extremeD upper quartile

25 A container in the shape of a right cone has a height of 16 inches and a radius of 3 inches. What is the approximate volume of the container? Use π = 3.14.

F 452.16 in3

G 150.72 in3

H 301.44 in3

J 56.53 in3

26 Which statement is true about the function y = x3 + 6?

A When graphed, it is a horizontal line.

B When graphed, it is a vertical line.C It is a linear function.D It is a nonlinear function.

27 The scatter plot below shows the high school and college grade point average for 10 students. Which of the following statements is supported by the graph?

y

x

Colle

ge G

PA

2

1

0

3

4

1 2 3 4High School GPA

F A student’s high school GPA is usually similar to her college GPA.

G A student’s high school GPA is usually much lower than her college GPA.

H A student’s high school GPA has no correlation to her college GPA.

J A student’s high school GPA is usually much higher than her college GPA.



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28 The population of Indiana in 2008 was estimated to be about 6,376,800. What is that number in scientific notation?

A 6.3768 × 105

B 6.3768 × 106

C 6.3768 × 107

D 6.3768 × 108

29 What is 3(x2 + x + 4) + (x2 - 3) simplified?

F 4x2 + 3x + 9G 2x2 + 3x + 15H 6x2 + 3x + 3J 4x2 + x + 1

30 What is the value of √

____ 121 ?

A 9B 11C 19D 21

31 A line has a slope of - 1 __ 2 and passes

through the point (6, -2). What is the slope-intercept form for the equation of the line?

F y = - 1 __ 2 x - 2

G y = - 1 __ 2 x + 2

H y = - 1 __ 2 x + 1

J y = 6x - 2

32 Which expression is equivalent to (25) (2-2)(2-1)?

A 210

B 28

C 22

D 1 __ 28



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33 Which equation is true for triangle PQR?

F PR2 - PQ2 = RQ2

G RQ2 + PR2 = PQ2

H PQ2 + PR2 = RQ2

J PQ2 + RQ2 = PR2

34 If 3 people working together can paint the exterior of a house in 4 days, how long would it take 2 people to do the same job?

A 12 daysB 6 daysC 2 daysD 1 day

35 Which is the graph of x + 1 __ 2 y = 4?

F

-4-6-8

-4-6-8 4 86

2

2

468

y

x

G

-4-6-8

-4-6-8 4 86

2

2

468

y

x

H

-4-6-8

-4-6-8 4 86

2

2

468

y

x

J

-4-6-8

-4-6-8 4 86

2

2

468

y

x


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