IN0i TPG7 893998 - Glencoeglencoe.com/sites/indiana/student/mathematics/assets/pdfs/mc2_in... · the ISTEP+ Practice and Assessment for the Indiana Statewide Testing for Educational

the ISTEP+

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

Grade 7

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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: 978-0-07-893998-3MHID: 0-07-893998-4 Mastering the ISTEP+, Grade 7 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 7 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. . . . . . . . . . . . . . . . . . . . . . . . . . . IN63

Practice Test – Session 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IN69

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

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To the Student

INiv Mastering the ISTEP+, Grade 7

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

year. Your textbook, Math Connects, Course 2, 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 2 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 (continued)

INvi Mastering the ISTEP+, Grade 7

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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Mathematics Reference Sheet

Mastering the ISTEP+, Grade 7 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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Problem Solving

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Mastering the ISTEP+, Grade 7 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 and CheckDraw a DiagramUse Logical ReasoningAct it OutEliminate the Possibilities Solve a Simpler Problem

oooooo

Work BackwardUse a GraphLook for a PatternMake a ModelMake an Organized ListDetermine 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 7

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

1 Kayla recorded low temperatures for the past 10 days. The temperature fell 8° on the first day, rose 2° each day for 5 days, then dropped 4° each day for 4 days, and on the 10th day was -17°. What was the temperature at the beginning of the first day?

Answer

Kayla read in the newspaper that the forecast for temperature for the next two days will be one-third the temperature that she recorded the first day. What will be the temperature for the next 2 days?

Answer

Read the problem.

What do you want to find?

The work backward strategy can help you organize the facts in the problem to find the temperature on the first day.

Why will the work backward strategy be helpful?



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List the number of degrees the temperature rose or dropped from the first day to the 10th day. Show your work.

First day:

Next 5 days:

Next 4 days:

10th day temperature:

Use inverse operations to work backward from the temperature on the 10th day to the temperature at the beginning of the first day. Show your work and explain your steps.

Use the temperature on the first day to find the forecast for the next 2 days. Show your work.

Reread the problem.Determine whether your answer is reasonable by working forward from the temperature at the beginning of the first day to the temperature on the tenth day.


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

2 Jaime recently joined a gym and received a free training session. The trainer told him that he should spend 3 minutes on the ellipitical machine for every 2 minutes that he worked out with free weights.

If Jaime works out for 40 minutes, how long should he spend on the elliptical machine? How long should he work out with free weights?

Ellipitical machine minutes

Free weights minutes

If Jaime stayed with the trainer’s plan and worked out for 30 minutes using free weights, how long did he work out on the elliptical machine?

minutes

Read the problem.

What are you asked to find?

What is the ratio of minutes on the elliptical machine to minutes with free weights?



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One approach to solving this problem is to use the make an organized list strategy.

Complete the list below. Continue the list until you reach a total of 40 minutes.

Minutes on Elliptical Machine

Minutes with Free Weights

Total Minutes

3 2 56 4 10

You can use the look for a pattern strategy to find the number of minutes Jaime worked out on the elliptical machine if he worked out with free weights for 30 minutes.

Look at the organized list. What is the difference between 30 minutes on free weights and 16 minutes on free weights?

What pattern can you use in the list to find the number of minutes Jaime would spend on the elliptical machine?

Reread the problem.

Are all the ratios of elliptical machine to free weights equal to 3 minutes:2 mintues?


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

3 The table shows the distance Audrey drove each hour on her trip to Muncie, Indiana.

Hours 1 2 3 4 5Distance (miles) 54 108 162 216 270

What was Audrey’s speed in miles per hour? Explain your reasoning.

Answer miles per hour

To get to Muncie, Audrey has to drive a total of 513 miles. If she keeps driving at the same rate, how many more hours will she travel before she arrives in Muncie?

Show All Work

Answer hours

YOUR TURN

Reread the problem. Do your answers and explanation make sense within the context of the problem?

UNDERSTANDRead the problem.

PLANYou can use the strategy look for

a pattern.

SOLVERemember to show your work. In this problem, you also

need to explain your reasoning.



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4 Isaiah knows that the area of a rectangular play area is 235 square feet and that the length of the play area is 6.3 feet longer than the width. What are the dimensions of the play area?

Show All Work

235 ft2

w + 6.3

w

Width feet

Length feet

How much fencing would be needed to enclose the play area?

Show All Work

Answer feet

YOUR TURN

Reread the problem. How can you check your answer?


SOLVEShow all your work. Make sure that you place the decimal point correctly in

the products.

PLANYou can use the strategies draw a

diagram, guess and check, and make an

organized list.


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5 Look at the four figures below.

Figure 1 Figure 2 Figure 3 Figure 4

What is the relationship between the number of the figure and the number of squares in each figure?

Use the relationship to predict the number of squares in the eighth figure.

Show All Work

Answer squares in Figure 8

YOUR TURN

Reread the problem.Does the relationship that you describe apply to each one of the figures in the pattern? Did you correctly apply the relationship when predicting the number of squares in the eighth figure?


PLANYou can use the

strategies look for a pattern and use

logical reasoning.

SOLVEShow all your

work. Describe the relationship using words or symbols.



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6 Which of the following composite numbers has the greatest number of prime factors? Which has the least number of prime factors?

80, 160, 210

Show All Work

Answer greatest number of prime factors

Answer least number of prime factors

Alli says that the greater the composite number, the greater the number of prime factors. If true, state true. If not true, give a counterexample.

7 Best Sports discounted their most popular skateboard from $125 to $85. What is the percent of decrease? What will Anton pay for the discounted skateboard if the tax is 7%?

Show All Work

Answer decrease

Answer cost of skateboard


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8 Leah and Cole split some DVDs for making videos so that Cole has 5 DVDs for every 3 DVDs that Leah has. Leah has 15 DVDs. How many does Cole have?

Suppose Cole and Leah have 56 DVDs to share. How many would each get?

Show All Work

Answer DVDs for Cole

Answer DVDs for each

9 A group of friends is taking a 3-day bike ride. They rode 1 __ 4 the distance on the first

day, 1 __ 2 the remaining distance on the second day, and the last 98 7 ___ 16 miles the third day.

What was the total distance of the bike trip?

If they had ridden the same number of miles each day, what would have been the

distance they traveled each day?

Show All Work

Answer total miles

Answer miles each day


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10 Use the coordinate grid below to answer the questions.

x

y

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

-2-1-4-5-6-7-8-9 -3 21 4 5 6 7 8 93

123456789

Triangle ABC is reflected across the x-axis and then translated using (x, y) → (x + 2, y - 8). What are the coordinates of the final image?

Show the transformations on the coordinate grid

Answer coordinates of final image

If you translated the triangle and then reflected it across the x-axis, would it have the same coordinates for the final image as the one above? Explain.


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11 Chloe and Devon both have afterschool jobs. The tables below show each of their earnings for the past 4 weeks.

Chloe’s EarningsWeek Earnings

2 304 606 90

Devon’s EarningsWeek Earnings

2 504 1006 150

Draw a graph of their earnings on the coordinate grid below and find the slope of each line.

Show All Work

Answer

What can you tell from comparing the slopes of each line? What is the meaning of the slope?

What are the hourly rates?

Answer

Earn

ings

($)

2010

0

30405060708090

100110120130140150

1 2 3 4 5 6 7 8 9Week



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12 The diagram below is a sign that Alana designed. The shaded region inside the sign is

similar to the design of the sign and has 1 __ 3 its dimensions. Alana plans to decorate the

portion of the sign that is not shaded.

21 in.

24 in.

3 in.

What is the area of the sign, in square inches, that Alana will decorate?

Show All Work

Answer square inches

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13 Ed signed up for an ongoing workshop on computer skills. He was charged a one-time fee of $50 to cover materials in the workshop. He attended 8 classes. His bill for the classes was $194.

Write an equation that can be used to determine the cost (c) of each class.

Equation

After the class, Ed found out that he could attend additional workshops for three-quarters the normal cost and an additional one-time fee of $20.

Ed is thinking about taking additional classes, but he does not want to spend more than $100.

Write an inequality to solve the problem. What is the greatest number of additional classes can he take?

Show All Work

Inequality

Answer additional classes



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Prerequisite Skills Check

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1 What is the measure of angle 1 in the figure below?

175°

A 15°

B 75°

C 105°

D 115°

2 Which list of numbers is ordered from least to greatest?

F - 1 __ 4 , 1 1 __ 4 , 0.2, 1.2

G 0.2, 1.2, - 1 __ 4 , 1 1 __ 4

H - 1 __ 4 , 0.2, 1.2, 1 1 __ 4

J 0.2, - 1 __ 4 , 1.2, 1 1 __ 4

3 On Saturday morning, the temperature was 3°F below zero. By 2:00 P.M., the temperature had risen 16°. What was the temperature at 2:00 P.M.?

A 13°

B 16°

C 18°

D 19°

4 The Yangs’ dinner bill came to $63.00. If they left a 20% tip, how much money did the Yangs spend on dinner?

F $12.60

G $50.40

H $65.00

J $75.60

5 Kiarra worked for 5 hours and made $32. Which equation could she use to find how much money she made per hour, h?

A h + $32 = 5

B $32 ÷ 5 = hC $32 - 5 = hD h + 5 = $32

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

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Prerequisite Skills Check (continued)

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6 What is the sum?

5 __ 6 + 1 __ 8 =

F 3 __ 7 H 17 ___ 18

G 40 ___ 48 J 23 ___ 24

7 A pool has a diameter of 14 feet. Which equation can be used to find its circumference, C?

A C = 14 × π

B C = 7 × π

C C = 72 × π

D C = 2 × 14 × π

8 The area of the average farm in Indiana is 243 acres. Which expression BEST describes how many acres of farmland there are in Indiana if the state has f farms?

F f × 243

G 243 - fH f + 243

J 243 ÷ f

9 It has taken Jada 2 hours to hike 5 miles. At that rate of speed, how long will it take her to hike 10 miles?

A 4 hours

B 5 hours

C 10 hours

D 30 hours

10 Which point shows the location of 1.8 on the number line?

0 1 2 3

F point FG point G

H point HJ point J

11 What does 3 × 4 + 6 ÷ 3 equal?

A 6

B 10

C 14

D 18



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12 Which value of m makes the following equation true?

m + 48 = 32

F −80

G −16

H 16

J 80

13 What is the measure of ∠ABC in the figure below?

42°

56°

A 42° C 82°

B 56° D 98°

14 The school library has 125 mystery books and 75 science fiction books. What is the ratio of mystery books to science fiction books in the library?

F 2:1

G 3:1

H 3:5

J 5:3

15 Ramon has a stack of 50 baseball cards. Of those, 10 are rookie cards. He chooses one card. What is the probability that he chooses a rookie card?

A 4 __ 5 C 1 __ 5

B 1 __ 4 D 2 ___ 25

16 Odessa listed the height of each member of her family in inches.

Name Height (inches)

Andre 23

Odessa 60

Emmet 67

Mom 63

Dad 70

Then, she found the mean and median height of her family, including her baby brother, Andre. How did Andre’s height affect the mean and median heights of Odessa’s family?

F It did not change the mean at all.

G It changed the median significantly.

H It changed the mean significantly.

J It did not change the median at all.



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17 Mrs. Martinez has $640 in a savings account. If the interest rate is 2% per year, how much interest will she earn in 1 year?

A $12.80

B $20.00

C $128.00

D $652.80

18 Eric took a math test. He answered 75% of the questions correctly. Which fraction is equivalent to 75%?

F 1 ___ 75

G 7 ___ 10

H 100 ____ 75

J 3 __ 4

19 Sandy puts 1 blue chip, 1 green chip, 2 red chips, and 1 white chip into a bag. If Sandy draws one chip out of the bag without looking, what is the probability that the chip selected will be a red chip?

A 0.20

B 0.30

C 0.40

D 0.50

20 Three friends had a car wash to raise money for a class trip.

Car Wash Percentage

Name Percent of Money Raised

Jacob 10%Emily 30%Brian 60%

Which circle graph best displays the information in the table about the percentage of money each friend raised?

F

G

H

J



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21 A meteorologist reported that the temperature was 26°F at 5 P.M. and 14°F at 11 P.M. What is the absolute value of the temperature difference between 5 P.M. and 11 P.M.?

A 40°F

B 12°F

C –12°F

D –40°F

22 Which figure is shaded 50%?

F

G

H

J

23 Which point represents the location of the ordered pair (–4, 3)?

y

x1 2 3 4 5 6-2-3-4-5-6

-2-1

-3-4-5-6

21

3456

-1

A point AB point BC point CD point D

24 What is 5 __ 8 ÷ 5 __ 3 ?

F 3 __ 8

G 10 ___ 11

H 8 ___ 13

J 25 ___ 24



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25 Lisa filled a fish tank with water. She made the following graph to show the volume of water in the tank each minute that she filled it.

y

xVolu

me

of W

ater

(gal

lons

)

48

121620

0 1 2 3 4 5

Time (minutes)

Which of the following data tables shows the data represented in the graph?

A Time (minutes)

Volume of water (gallons)

0 01 12 23 3

B Time (minutes)


2 43 84 125 16

C Time (minutes)


4 1 8 212 316 4

D Time (minutes)


1 42 83 124 16

26 Toby measures the length of a board he is using to build a bird house. Which is an appropriate unit of length for this measurement?

F millimeter

G centimeter

H meter

J kilometer

27 What is the surface area of the cylinder?

3 in.

10 in.

A 56.52 square inches

B 188.44 square inches

C 216.66 square inches

D 244.92 square inches

28 The probability that Marissa’s favorite basketball team will win the tournament is 0.45. What is this probability expressed as a ratio?

F 9 ___ 20 H 45 ___ 55

G 1 __ 2 J 100 ____ 45



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29 In 2007, 25% of the population of Indiana was under the age of 18. What is this percent expressed as a decimal?

A 2.5

B 0.75

C 0.25

D 0.025

30 Sari plans to fertilize her circular flowerbed. The diameter of the flowerbed is 30 inches.

30 in.

What is the area of the flowerbed?

F 47.1 square inches

G 225 square inches

H 706.5 square inches

J 2,826 square inches

31 What does 8 - (3 × 2) + 7 equal?

A 9

B 17

C 21

D 70

32 What is the measure of ∠ACD?

65°

80°

F 35° H 130°

G 55° J 145°

33 A coat that originally cost $85.00 is on sale for 30% off. What is the new price of the coat?

A $25.50

B $55.00

C $59.50

D $110.50

34 Jeremy’s fish tank is shaped like a cylinder with a diameter of 30 centimeters and a height of 45 centimeters. Rounding to the nearest cubic centimeter, what is the volume of the tank? Use 3.14 for π.

F 4,239 cubic centimeters

G 8,478 cubic centimeters

H 31,793 cubic centimeters

J 127,170 cubic centimeters

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35 Whooping cranes are endangered birds. Each fall, scientists help the whooping cranes migrate from Wisconsin through Indiana and other states to Florida. The following table shows the number of whooping cranes that migrated each year from 2001 until 2009.

YearNumber of Whooping

Cranes

2001 92002 222003 372004 502005 652006 882007 782008 872009 81

Which of the following is the BEST way to display the data?

A bar graph

B circle graph

C line graph

D stem-and-leaf plot

36 Which is the correct value for m?

2 ___ 15 = m ____ 67.5

F 9 H 90

G 54.5 J 120

37 Luis wants to know which color is most popular among students at his school. He asks a random sample of 30 students to choose their favorite colors from red, blue, or green. Which of the following is the BEST way for him to display the results?

A bar graph

B line graph

C stem-and-leaf plot

D circle graph

38 Madison is training for a race. The table below shows the distance that she has run each day for the last four days.

Date Miles Ran

March 2 1.5

March 3 2

March 4 2

March 5 2.5

Which statement about the data in the table is true?

F The mode is less than the median.

G The median is greater than the mean.

H The mean is the same as the median.

J The mode is greater than the mean.



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39 The table shows how many of each type of animal a pet shop has.

Animal Animals Available

Dog 9Cat 8Bird 5Hamster 6Snake 2

If pet sales are chosen randomly, what is the probability that the next animal the pet shop sells will be a hamster?

A 6%

B 20%

C 50%

D 60%

40 Mr. Ruiz is measuring the lengths of four pieces of lumber. Which list shows the lengths in order from shortest to longest?

F 3.5 ft, 3.75 ft, 3.3 ft, 3.25 ft

G 3.5 ft, 3.25 ft, 3.3 ft, 3.75 ft

H 3.25 ft, 3.3 ft, 3.5 ft, 3.75 ft

J 3.75 ft, 3.25 ft, 3.3 ft, 3.5 ft

41 What is the absolute value of –14?

A –14

B –5

C 5

D 14

42 There are 18,345 seats in Conseco Fieldhouse in Indianapolis. If 60% of the seats are occupied, how many people are seated in the fieldhouse?

F 7,338

G 11,007

H 18,405

J 29,352

43 What is 18 ÷ -3?

A –6

B –5

C 6

D 15

44 Kyle has a recipe for muffins. The recipe calls for 3 cups of flour to make 12 muffins. What is the ratio in simplest form of cups of flour to muffins?

F 3 to 12

G 1 to 3

H 1 to 4

J 4 to 1



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45 What is the measure of the fourth angle of a trapezoid with angles of 58°, 122°, and 122°?

A 58°

B 64°

C 122°

D 180°

46 The state bird of Indiana is the cardinal. A scientist measured the length of a cardinal egg. What is the most likely length of the egg?

F 2.3 millimeters

G 2.3 centimeters

H 2.3 meters

J 2.3 kilometers

47 A scale drawing has a scale of 1 inch equals 3 feet. How many inches would represent 42 feet in this drawing?

A 3.5 inches

B 14 inches

C 15 inches

D 126 inches

48 In the figure below, �� ED is

perpendicular to � �� AB , and m∠AEC = 44°. What is m∠CED?

44°

F 45° H 54°

G 46° J 136°

49 The following stem-and-leaf plot shows the number of points scored by the players on a basketball team during one season.

Stem Leaf1 0 2 6 92 0 1 2 4 53 2 3 3 5 6 7 8 94 0 3 4 85 4 2|0 = 20

Which of the following statements about the data is true?

A Most players scored 50–59 points during the season.

B Most players scored 40–49 points during the season.

C The fewest players scored 50–59 points during the season.

D The fewest players scored 20–29 points during the season.

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Diagnostic Test

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

[Lesson 9-1]

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

[Lesson 6-3]

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

A

B

C

D

[Extend 11-6]

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

[Lesson 4-1]

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Diagnostic Test (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

[Lesson 3-1]

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

[Lesson 1-3]

7 Simplify the following expression.

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

A 14m + 28

B 18m + 4

C 18m + 28

D 14m + 22

[Lesson 1-4]

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)

[Lesson 10-9]

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

[Lesson IN13]

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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

[Lesson 6-2]

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

A 0.0059

B 59

C 5,900

D 59,000

[Lesson IN1]

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

3z - 14 = 1

F - 13 ___ 3

G 5

H 11

J 15

[Lesson 3-5]

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

[Lesson 8-4]

14 What is the value of 44?

F 16

G 64

H 246

J 256

[Lesson 1-2]



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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

[Lesson 2-7]

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

[Lesson 8-2]

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

[Lesson IN4]

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

[Lesson 6-6]

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%

[Lesson 7-2]



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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?

[Lesson IN9]

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

[Lesson 4-1]

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

[Lesson 6-3]



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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°

[Lesson IN10]

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

[Lesson IN3]

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

[Lesson 5-5]

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

[Lesson 6-6]



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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

[Lesson 6-8]

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

[Lesson IN1]

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

[Lesson 8-6]

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

[Lesson 3-1]



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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

[Lesson IN13]

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

[Lesson 7-2]

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

[Lesson 10-10]

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

[Lesson IN2]



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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

[Lesson IN6]

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

ber o

f Pla

yers

[Lesson 8-4]



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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

[Lesson 6-2]

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

[Lesson 4-1]

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

[Lesson 6-1]

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

[Extend 8-4]

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

[Lesson 2-6]



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Practice by Standard

Standard Indicator 7.1.1

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1 The highest point in Indiana is Hoosier Point, at about 1,250 feet above sea level. What is this number in scientific notation?

A 1.25 × 102

B 1.25 × 103

C 1.25 × 104

D 1.250 × 104

[Lesson IN1]

2 Which of the following shows 0.0536 in scientific notation?

F 5.36 × 10-2

G 5.36 × 10-1

H 5.36 × 101

J 5.36 × 102

[Lesson IN1]

3 What is 4.1 × 104 in standard notation?

A 0.0041

B 4,100

C 41,000

D 410,000

[Lesson IN1]

4 The following table shows the distance of four moons from the planet Jupiter.

Moon Distance from Jupiter (km)

Io 4.22 × 105

Ganymede 1.07 × 106

Europa 6.71 × 105

Thebe 2.22 × 105

Which moon is the farthest from the planet Jupiter?

F Io

G Ganymede

H Europa

J Thebe

[Lesson IN1]

5 The first long-distance U.S. auto race took place in Indianapolis in 1911. The winner won a $14,000 prize. What is this amount in scientific notation?

A 14.0 × 101 C 1.4 × 103

B 14.0 × 102 D 1.4 × 104

[Lesson IN1]

6 Which of the following shows 7.03 × 10-7 in standard notation?

F 70,300,000

G 0.70300000

H 0.00000703

J 0.000000703

[Lesson IN1]

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Practice by StandardStandard Indicator 7.1.2


A 10

B 16

C 25

D 32

[Lesson 1-2]

2 To throw a perfect game in baseball, a pitcher must retire 27 consecutive hitters. How can this number be represented with an exponent?

F 127

G 32

H 33

J 39

[Lesson 1-2]

3 What integer is 112? Fill in your answer on the response grid below.

[Lesson 1-2]

4 The formula for the volume of a cube is s3, where s is the length of one side. What is the volume of a cube with a side of 5 inches?

A 15 cubic inches

B 105 cubic inches

C 125 cubic inches

D 555 cubic inches

[Lesson 1-2]

5 Which of the following is equal to 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7?

F 7(8)

G 78

H 87

J 7(7)8

[Lesson 1-2]


A 40

B 1,000

C 4,000

D 10,000

[Lesson 1-2]


F 8

G 16

H 256

J 4,096

[Lesson 1-2]

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1 Which list shows all of the prime factors of 12?

A 2 and 3 only

B 2, 3, and 4

C 3 only

D 1, 2, 3, 4, 6, and 12

[Lesson 4-1]

2 Parke County is called the Covered Bridge Capital because it has 30 covered bridges. What is this number in prime factorization?

F 2 × 15

G 22 × 5

H 22 × 3 × 5

J 2 × 3 × 5

[Lesson 4-1]


A 1, 5, and 7 only

B 1, 5, 7, and 35

C 5 and 7 only

D 3, 5, and 7 only

[Lesson 4-1]


F 2, 5, and 10

G 2 and 5 only

H 5 only

J 1, 2, 4, 5, 10, 20, 25, 50, and 100

[Lesson 4-1]

5 According to the 2000 census, there are 32 towns or cities in Indiana with a population greater than 25,000. Which shows the prime factorization of the number of towns or cities with more than 25,000 people in Indiana?

A 25

B 22 × 8

C 23 × 4

D 24

[Lesson 4-1]

6 Which shows the prime factorization of 84?

F 2 × 3 × 7

G 4 × 3 × 7

H 22 × 3 × 7

J 2 × 6 × 7

[Lesson 4-1]



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1 Jack says that every whole number between 90 and 100 is a composite number. Which of the following numbers can you use to prove that Jack’s statement is NOT correct?

A 91

B 93

C 97

D 99

[Lesson 4-1]

2 A camp counselor wants to split a large group of campers into small groups to go on rowboats. The counselor wants to have the same number of campers in each small group. Which number of campers can the counselor divide to make equal small groups?

F 53

G 45

H 43

J 41

[Lesson 4-1]

3 A baker wants to sell muffins in packages that can be split into as many differently-sized equal groups as possible. Which of the following numbers of muffins should the baker put in each package?

A 12 C 20

B 15 D 29

[Lesson 4-1]

4 Maria says that every whole number that ends in 7 is a prime number. Which of the following numbers can you use to prove that Maria’s statement is NOT correct?

F 17

G 27

H 37

J 47

[Lesson 4-1]

5 Leroy says that every number that is evenly divisible by 3 must be a composite number. Which number can you use to show that Leroy’s statement is NOT correct?

A 3

B 39

C 99

D 300

[Lesson 4-1]

6 Francesca says her house number is a two-digit prime number greater than 50. Both digits of her number are prime numbers. Which of the following could be Francesca’s house number?

F 61

G 73

H 77

J 91

[Lesson 4-1]



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1 Hideki is building a deck for his house in the shape of a square. One side of his deck is 9 feet long. What is the area of Hideki’s deck?

A 3 square feet

B 36 square feet

C 81 square feet

D 99 square feet

[Lesson 1-3]

2 A painter uses a canvas with an area of 100 square inches. If the canvas is in the shape of a square, what is the length of each of its sides?

F 1 inch

G 10 inches

H 25 inches

J 10,000 inches

[Lesson 1-3]

3 Which of the following numbers has a square root that is equal to itself?

A 1

B 2

C 4

D 10

[Lesson 1-3]

4 What is the value of √ __

42 ?

F 2 H 16

G 4 J 56

[Lesson 1-3]

5 Carol buys a table with the top in the shape of a square. One side of it is 12 inches long. What is the area of the top of her table?

A √ ___

12 square inches

B 48 square inches

C 120 square inches

D 144 square inches

[Lesson 1-3]

6 What is ( √ ___

16 )2 ? Fill in your answer in the response grid below.

[Lesson 1-3]



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1 The following table shows the height of 4 basketball players.

Player Height (Feet)

Brad 5.96

Christine 2π

Jose 19 ___ 3

LaToya √ ___

37

Which shows the basketball players in order from shortest to tallest?

A Brad, Christine, Jose, LaToya

B Brad, LaToya, Christine, Jose

C Brad, LaToya, Jose, Christine

D Jose, Christine, LaToya, Brad

[Lesson IN13]

2 Which point on the number line represents √

__ 5 ?

9 1110876543210

F point F

G point GH point HJ point J

[Lesson 12-1]

3 Which shows π, 4. −

1 , √ ___

15 , and 4.1 in order from least to greatest?

A π, 4.1, 4. −

1 , √ ___

15

B π, √ ___

15 , 4. −

1 , 4.1

C √ ___

15 , π, 4.1, 4. −

1

D π, √ ___

15 , 4.1, 4. −

1

[Lesson IN13]

4 Which point on the number line represents √

__ 1 ?

0 1 2 3 4 5

F point FG point G

H point HJ point J

[Lesson 12-1]

5 Which shows -1, - √ __

3 , -2 √ __

2 and 4 in order from least to greatest?

A -2 √ __

2 , - √ __

3 , -1, 4

B -1, - √ __

3 , -2 √ __

2 , 4

C - √ __

3 , -2 √ __

2 , -1, 4

D 4, -1, - √ __

3 , -2 √ __

2

[Lesson 12-1]



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1 Six tennis rackets cost $437.04. Each racket costs the same amount. What is the cost of each racket?

A $71.18

B $72.04

C $72.84

D $77.04

[Lesson IN4]

2 A particular plant grows an

average of 3 __ 5 inch per day. How

many inches will the plant grow during a 7-day week?

F 1 2 __ 5 inches

G 2 inches

H 3 1 __ 5 inches

J 4 1 __ 5 inches

[Lesson 5-5]

3 A scuba diver goes down into the water at a rate of 4 feet per minute. After 6 minutes, the diver begins to come up at a rate of 3 feet per min ute. What is the diver’s depth after 11 minutes?

A 9 feet

B 19 feet

C 21 feet

D 39 feet

[Lesson 2-6]

4 Mark buys a pack of baseball cards

that weighs 4 __ 5 ounce. There are 8

cards in the pack, each of which has the same weight. What is the weight of each baseball card?

F 1 ___ 10 ounce

G 1 __ 8 ounce

H 4 ___ 13 ounce

J 32 ___ 40 ounce

[Lesson 5-7]

5 Marla, Nina, and Mia bought their parents 4 throw pillows for a gift. Each pillow costs $9.42 including tax. The three sisters decide to split the total cost evenly. How much does each sis ter pay for the gift? Fill in your answer on the response grid below.

[Lesson IN4]



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1 Of all the U.S. presidents who served before 1900, exactly 4% were from Indiana. The only U.S. president from Indiana was Benjamin Harrison. How many U.S. presidents were there before 1900?

A 4

B 20

C 25

D 40

[Lesson 7-2]

2 A jacket that usually costs $80 was on sale for $60. Which shows the percent decrease in the price of the jacket?

F 20%

G 25%

H 80%

J 133%

[Lesson 7-6]

3 By 2:00 on Saturday afternoon, 20% of Jeffrey’s guests had arrived at his birthday party. If 3 people had arrived, how many guests is Jeffrey expecting at his party in total?

A 6

B 12

C 15

D 23

[Lesson 7-2]

4 River Forest, a very small town in central Indiana, had a population of 16 people in 1990. By 2000 the population had risen to 28. By what percent did the population of River Forest increase from 1990 to 2000?

F 12%

G 43%

H 57%

J 75%

[Lesson 7-6]

5 Luz is watching a movie on her DVD player. She stops the movie after watching 60% of it. The DVD player shows that she has watched 66 minutes of the movie. How long is the movie in total?

A 39.6 minutes

B 91 minutes

C 110 minutes

D 126 minutes

[Lesson 7-2]

6 Page puts $1,000 into a savings account at a bank. At the end of the year it is worth $1,050. By what percent did his savings increase?

F 0.50%

G 5%

H 10%

J 50%

[Lesson 7-6]



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1 Of the North American Great

Lakes, 1 __ 5 border the state of

Indiana. Which ratio shows the number of Great Lakes that border Indiana to the number of Great Lakes in total?

A 1:5

B 1:4

C 4:5

D 5:1

[Lesson 6-1]

2 Since 2003, there have been 9 congressional districts in Indiana. 3 of those districts do not share a border with any other state. Which fraction shows the number of congressional counties in Indiana that border another state?

F 3 ___ 12 H 2 __ 3

G 1 __ 3 J 3 __ 4

[Lesson 6-1]

3 Shantice has a cat and a dog. The ratio of the weight of her cat to the weight of her dog is 1:8. How many times heavier is Shantice’s dog than her cat?

A 1 __ 8 C 8

B 7 D 9

[Lesson 6-1]

4 Michael is baking cookies. He needs 4 cups of flour to bake 6 dozen cookies. Which ratio shows the number of cups of flour needed to the number of dozen cookies that Michael can bake?

F 4: 96

G 96:4

H 2:3

J 3:2

[Lesson 6-1]

5 A construction company creates a batch of concrete by mixing a ratio of one part of cement for every two parts of sand. If the company uses 600 pounds of cement in their batch, how many pounds of concrete does it make in total? Fill in your answer on the response grid below.

[Lesson 6-1]



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1 12 less than a number x is 27. Which of the following equations shows this relationship?

A 27 - x = 12

B 12 - 27 = xC 12 - x = 27

D x - 12 = 27

[Lesson 3-1]

2 The sum of 3 times a number n and 14 is 29. Which of the following equations shows this relationship?

F 3n + 14 = 29

G 3n + 29 = 14

H 3n - 14 = 29

J 3n - 29 = 14

[Lesson 3-1]

3 Evelyn sold 5 of her comic books c, and then split the rest into 3 equal piles. Which expression represents this description?

A 5c ÷ 3

B c - 5 _____ 3

C (5 - c) ÷ 3

D c - 3 _____ 5

[Lesson 3-1]

4 Four less than a number n is less than 23. Which of the following inequalities shows that relationship?

F n - 4 > 23

G 4 - n < 23

H n - 4 < 23

J 4 - n > 23

[Lesson IN2]

5 The product of a number n and 8 is 56. Which of the following equations shows that relationship?

A 8 + n = 56

B 8n = 56

C 8 - n = 56

D 8 = 56n

[Lesson 3-1]

6 The product of 6 and a number x is greater than or equal to 84. Which of the following inequalities describes that relationship?

F 6 + x ≥ 84

G 6 + x ≤ 84

H 6x ≤ 84

J 6x ≥ 84

[Lesson IN2]



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1 What is the solution of the following equation?

5p + 10 = 50

A 8

B 10

C 12

D 40

[Lesson 3-5]

2 Which set of values for c is the solution for the following inequality?

4 + 2c < 15

F c < 19 ___ 2

G c < 9

H c < 11 ___ 2

J c < 22

[Lesson IN2]

3 What value of z is the solution for 3(2z + 4) = 30?

A 3

B 4 1 __ 3

C 6

D 7

[Lesson 3-5]

4 Which set of values for d is the solution for the following inequality?

d ___ 10 + 2 > 5

F d > 3 ___ 10

G d > 3

H d > 30

J d > 70

[Lesson IN2]

5 What is the solution for the following equation?

5b - 5 + 5b = 55

A 5

B 6

C 10

D 12

[Lesson 3-5]

6 What is the solution for 3 - 3a ≥ 33?

F a ≥ -10

G a ≤ -30

H a ≤ 30

J a ≤ -10

[Lesson IN2]



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1 What is the simplest form of the following expression?

2x(3x + 5) + 3(x - 3)

A 6x2 + 13x + 9

B 6x2 + 3x + 2

C 19x - 9

D 6x2 + 13x - 9

[Lesson 1-6]

2 What is the value of 4 + 2 × 5 - 3?

F 8

G 11

H 12

J 27

[Lesson 1-4]

3 Simplify the following expression.

5(4 + 3x - 1) + 3(2x - 3)

A 21x + 6

B 9x + 18

C 21x + 10

D 21x + 24

[Lesson 1-6]

4 What is the value of 6 × 2 + 8 ÷ 2?

F 10

G 12

H 16

J 30

[Lesson 1-4]


3(3 + x – π) + 5(x + π)

A 9 + 6xB 9 + 8x - 2π

C 9 + 8x + 8π

D 9 + 8x + 2π

[Lesson 1-6]

6 What is the value of the following numerical expression?

30 ÷ (6 - 3) + 3

F 5 H 10

G 8 J 13

[Lesson 1-4]

7 What is the value of 21 ÷ 7 + (4 - 3) + 5 × 2?

A 14

B 16

C 18

D 21

[Lesson 1-6]


4(5x - 3) + 2(7x + 6)

F 12x + 3

G 20x - 12

H 34xJ 34x + 24

[Lesson 1-4]



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1 The area of rectangle ABCD is 98 square centimeters and its width is 7 centimeters. What is the length of rectangle ABCD?

A 14 centimeters

B 18 centimeters

C 42 centimeters

D 91 centimeters

Lesson 3-5]

2 If a = -3 in the equation 4a - 3b = -18, what is the value of b?

F -2

G 0

H 1

J 2

[Lesson 1-4]

3 What is the value of c in 2d + 10c = 90 if d = 5? Fill in your answer on the response grid below.

[Lesson 3-5]

4 What is the circumference of a circle with a radius of 4 inches?

A 4 inches

B 2π inches

C 4π inches

D 8π inches

[Lesson 3-5]

5 If the value of h in the following equation is 8, what is the value of j?

10 = 5h – 2j

F -20

G 15

H 20

J 40

[Lesson 3-5]

6 The value of x in the following equation is 9. What is the value of y?

9x = 5y + 51

A 4

B 6

C 132 ____ 5

D 30

[Lesson 3-5]



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1 What is the slope of the line in the following graph?

y

x

A -2

B - 1 __ 2

C 1 __ 2

D 2

[Lesson 6-3]

2 What is the slope of the line in the following graph?

y

x

F -3

G - 1 __ 3

H 1 __ 3

J 3

[Lesson 6-3]

3

x

-2-3-4

-2-1-4-3 21 43

y

1234

Right triangle DEF, not shown, has a horizontal leg with a length of 12 and a vertical leg with a length of 18. The hypotenuse of �DEF is parallel to the hypotenuse of �ABC. What do you know about the slope of the hypotenuse of �DEF compared to the slope of the hypotenuse of �ABC?

A The slope of the hypotenuse of �ABC is greater than the slope of the hypotenuse of �DEF.

B The slope of the hypotenuse of �ABC is less than the slope of the hypotenuse of �DEF.

C You cannot tell what the slope of the hypotenuse of �DEF will be, so you cannot compare them.

D The slope of the hypotenuse of �ABC is the same as the slope of the hypotenuse of �DEF.

[Lesson IN5]



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1 Which of the following shows the

graph of a line with a slope of 1 __ 2

and goes through point (-1, 0)?

A y

x

B y

x

C y

x

D y

x

[Lesson 6-3]

2 Which of the following shows the graph of a line that goes through points (-2, 3) and (4, 1)?

F y

x

G y

x

H y

x

J y

x

[Lesson 6-3]



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1 Four brick buildings were built with differently-sized bricks. The table below shows how many bricks are piled on top of each other for each floor. The table also shows the height of each floor.

Building Feet per Floor

Bricks per Floor

Mason Hotel

9 45

The Kingsley

12 84

Franklin Tower

10 60

Cervelli Hotel

8 44

Which building has the tallest bricks?

A Mason Hotel

B The Kingsley

C Franklin Tower

D Cervelli Hotel

[Lesson 6-6]

2 A pet store sells four different bags of cat food. A 3-pound bag costs $15. A 5-pound bag costs $20. A 10-pound bag costs $30. A 20-pound bag costs $70. Which bag of the cat food is the least expensive per pound?

F the 3-pound bag

G the 5-pound bag

H the 10-pound bag

J the 20-pound bag

[Lesson 6-6]

3 Four friends drove to Indianapolis for a wedding. The following table shows which city each friend drove from, how many miles he or she drove, and how many gallons of gasoline he or she used.

Friend Origin City Miles Driven

Gallons of Gas Used

Derek Decatur, IL 175 7Flora Fort Wayne 128 4Matt Muncie 69 3Finn Findlay, OH 210 7

Which friend’s car had the most miles per gallon on the trip to Indianoplis?

A Derek

B Finn

C Matt

D Flora

[Lesson 6-6]

4 A magazine charges a different amount depending on the length of a subscription. Readers can pay $40 for a 1-year subscription, $60 for a 2-year subscription, $90 for a 3-year subscription, or $100 for a 4-year subscription. Which subscription has the least expensive rate per year?

F the 1-year subscription

G the 2-year subscription

H the 3-year subscription

J the 4-year subscription

[Lesson 6-6]



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1 In the figure below, lines m and n are parallel and lines p and q are parallel.

52°

mp

q

n

What is the measure of angle a?

A 8° C 128°

B 52° D 138°

[Lesson IN10]

2 Lines c and d are parallel.

d

c

Which angles must have the same measure as angle r?

F u only

G s, t, w, and x only

H u and y only

J u, v, and y only

[Lesson IN10]

3 Lines a, b, and c are parallel.

ab c

99°

What is the measure of angle d?

A 81°

B 91°

C 99°

D 101°

[Lesson IN10]

4 In the figure below, lines f and h are parallel. Which angles must have a measure of 63°?

f g h

63°

F r, n, and v only

G r and n only

H n only

J r, l, t, n, and v only

[Lesson IN10]



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1 Triangle ABC is reflected to form A’B’C’. The coordinate grid below shows A’ and B’. What should the coordinates of C’ be?

y

x

′

1 2 3 4 5 6 7-2-3-4-5-6-7

98

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

21

34567

-1

′

A (7, 3)

B (1, 7)

C (7, -1)

D (7, 1)

[Lesson 10-10]

2 Which transformation will never change the appearance or location of a figure on a coordinate grid?

F a rotation of 360 degrees

G a reflection over the y-axis

H a translation of 3 units down

J a rotation of 180 degrees

[Lesson IN11]

3 Which of these shows a translation of figure B?

A y

x

′

B y

x

′

C y

x

′

D y

x

′

[Lesson 10-9]



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1 Tracy wants to make a paper ice cream cone for a school play prop. Which net can be used to make a cone?

A

B

C

D

[Lesson IN12]

2 Which net, when folded, forms a square pyramid?

F

G

H

J

[Extend 11-6]



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1 The following polygons are the first three figures in a pattern.

How many sides will the 6th figure in the geometric pattern have?

A 5

B 6

C 7

D 8

[Lesson 2-7]

2 The figures below form a geometric pattern.

Which figure will come next?

F

G

H

J

[Lesson 2-7]

3 The table below shows the relationship between the number of sides of a polygon and the sum of the measures of its interior angles.

Sides of a Polygon

Sum of Measures of

Interior Angles

3 180°4 360°5 540°

What is the sum of the measures of the interior angles for a polygon with 7 sides?

A 720°

B 800°

C 900°

D 1,080°

[Lesson 2-7]

4 The first four figures of a pattern are shown. How many cubes will be used to construct the next figure in the pattern?

F 50 H 100

G 64 J 125

[Lesson 2-7]



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1 An architect draws a scaled blueprint of a house. The length of the kitchen on the blueprint is 6 inches. The actual length of the kitchen will be 18 feet. If the length of the bathroom on the blueprint is 3 inches, what will the actual length of the bathroom be?

A 1 foot

B 6 feet

C 9 feet

D 15 feet

[Lesson 6-8]

2 The figure below shows a man and a flagpole, and the lengths of their shadows. The man is 6 feet tall.

30 ft12 ft

What is the height of the flagpole?

F 12 feet

G 15 feet

H 24 feet

J 60 feet

[Lesson 6-8]

3 Two legs of a right triangle are 5 inches and 12 inches long. What is the length of the shorter leg of a similar right triangle if its longer leg is 60 inches long?

A 1 inch C 25 inches

B 20 inches D 53 inches

[Lesson 10-7]

4 Which of the following triangles is similar to the triangle shown below?

12 cm

6 cm

9 cm

F

22 cm

16 cm

19 cm

G

6 cm5 cm

3 cm

H

12 cm

24 cm19 cm

J

18 cm

36 cm27 cm

[Lesson 10-7]



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1 Olivia drives at an average speed of 100 kilometers per hour. At this rate, how long will it take her to drive the 350 kilometers from French Lick to Hartford City?

A 3 hours, 30 minutes

B 3 hours, 50 minutes

C 5 hours, 50 minutes

D 35 hours

[Lesson 6-2]

2 Pedro rides his bicycle at a rate of 10 miles per hour from Marion to Gas City. The trip took him 45 minutes. How many miles did Pedro ride on his bicycle? Fill in your answer on the response grid below.

[Lesson 6-2]

3 The space shuttle travels at a speed of about 18,000 miles per hour when in orbit. At this rate, about how many miles does it travel per second?

F 0.5 miles per second

G 5 miles per second

H 50 miles per second

J 300 miles per second

[Lesson 6-2]

4 Audrey walks at an average rate of 4 miles per hour. At that rate, how long would it take her to walk the 16 miles from Germantown to Hope?

A 1 hour C 4 hours

B 3 hours D 12 hours

[Lesson 6-2]

5 Owen drives 240 miles from South Bend to Terre Haute. The trip takes him 6 hours. What is Owen’s average speed during his drive?

F 4 miles per hour

G 40 miles per hour

H 60 miles per hour

J 144 miles per hour

[Lesson 6-2]



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1 The average high temperatures for January through June in Gary are listed below.

January: 30°F February: 35°F March: 47°F April: 58°F May: 70°F June: 80°F

Which of the following best displays how the average high temperature changes between January and June?

A Average High Temperature, Gary, IN

B

Tem

pera

ture

(°F)

4030

50

80

0

7060

J F M A M JMonth

Average High Temperature, Gary,

C Stem Leaf3 0 54 75 867 08 0 Key 3�0 = 30

D Average High Temperature, Gary, IN

30 40 50 60 70 80

[Lesson IN8]

2 The line plot below shows the number of books read by the students in Mrs. Kim’s class.

0 1 2 3 4 5 6 7 8 9 1110

×

×

×

×

×

× ×

×

× × ××

How many students in Mrs. Kim’s class read more than 5 books?

F 1 H 4

G 3 J 6

[Lesson 8-1]

3 The table below shows the number of tickets sold on each day during the week for the school play.

Day of Week Number of Tickets Sold

Monday 56Tuesday 22Wednesday 36Thursday 78Friday 112

Which statement is best supported by these data?

A The average number of tickets sold was 55.

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

C Three times as many tickets were sold on Monday as on Tuesday.

D The number of tickets sold each day increased at the end of the week.

[Lesson 8-5]



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1 The line graph below shows the average high temperature in Bloomington from January through May.

Average High Temperatures,Bloomington, Indiana

Tem

pera

ture

(°F)

40

20

0

60

80

Jan Feb Mar Apr MayMonth

Which is the best prediction for the average high temperature for Bloomington in the month of June?

A 65 C 83

B 74 D 92

[Lesson 8-6]

2 Of the 80 people who live on one block in Goshen 20 are under 18. The population of Goshen is about 32,000. Based on the sample, what is the best prediction for the number of people under 18 who live in Goshen?

F 6,000 H 12,000

G 8,000 J 24,000

[Lesson 8-7]

3 One hundred residents of Boone County were interviewed at random. Of those residents, 30 lived in the city of Lebanon. About 50,000 people live in Boone County in total. Based on the sample, which is the best estimate for the number of people who live in Lebanon?

A 1,500

B 15,000

C 30,000

D 167,000

[Lesson 8-7]

4 Brett spins the pointer on a spinner 50 times and gets the following results:

Color Times Landed OnRed 12Green 20Blue 8Yellow 10

Based on his sample, how many times would Brett expect his pointer to land on a green section of the spinner in 200 spins?

F 5 H 60

G 48 J 80

[Lesson 8-7]



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1 A baseball pitcher throws 6 pitches with the following speeds in miles per hour.

98, 95, 94, 98, 99, 100

The 7th pitch is 78 miles per hour. How will the speed of the 7th pitch affect the mean, median, and mode speed of the pitches to the batter?

A The median and the mean will go up, but the mode will not change.

B The median will go down, but the mode and mean will not change.

C The mean will go down, but the mode and the median will not change.

D The median and the mean will go down, but the mode will not change.

[Lesson 8-2]

2 Five college students live in a house together. They are all 19 years old. Then a 20-year-old student moves into the house. Will this affect the mean, median, mode, or none of them?

F mean only

G median only

H mode only

J No measure will be affected.

[Lesson 8-2]

3 A student has the following six scores on quizzes each worth a total of 10 points.

8, 9, 8, 8, 8, 5

The teacher allows her students to drop the lowest quiz score. Which of the following will change once the lowest score is dropped?

A the median only

B the mean only

C the mean and median only

D the mean, median, and mode

[Lesson 8-2]

4 A basketball player scores the following numbers of points during the first four games of the season.

7, 4, 9, 4

The player scores 27 points in the 5th game. Which measure of central tendancy will be affected by the points scored by the player in the 5th game?

F the mean, median, and mode

G the median only

H the mean and median only

J the mean only

[Lesson 8-2]



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1 A company advertises its improved customer service by showing its number of satisfied customers in the following bar graph.

20082007

15002000

1000

0500

25003000

Year

Satisfied Customer

In what way could the graph be misleading?

A The graph does not indicate the total number of customers for each year.

B More of the satisfied customers in 2008 were in the 18-25 age range than in 2009.

C The company offered many more services to its customers in 2009 compared to 2008.

D The company had only 1,000 satisfied customers in 2006, which is not shown in the graph.

[Lesson 8-9]

2 A survey company is trying to determine whether residents who live near Grove Avenue think the road is in bad shape. Which survey question is least likely to influence the results and therefore provide the best answers?

F Many people think that the potholes on Grove Avenue are a problem. Would you agree?

G Why do you think that the road conditions of Grove Avenue are bad?

H What do you think about the road conditions on Grove Avenue?

J Is there a problem with the road conditions on Grove Avenue?

[Lesson IN9]

3 Which survey question would be the best to use to determine where the most people get their news?

A What primary source do you use for your news?

B Do you prefer using the Internet or magazines to get your news?

C More young people now prefer to use the Internet for their news. Do you also prefer to get your news from the Internet?

D Which is the most convenient way for you to get your news?

[Lesson IN9]



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1 Lorenzo spins the pointer on the following spinner. Each section of the spinner is the same size.

What is the probability that the spinner will land on a striped section of the spinner?

A 1 __ 5

B 2 __ 5

C 3 __ 5

D 5 __ 2

[Lesson 9-1]

2 Heather rolls a number cube numbered from 1-6. What is the probability that she will roll a number greater than 2?

F 1 __ 6 H 2 __ 3

G 1 __ 2 J 6 __ 4

[Lesson 9-1]

3 An airline says that a flight has a probability of arriving on time of 0.85. What is the probability that the flight will NOT arrive on time?

A 0.15 C 0.85

B 0.25 D 85

[Lesson 9-1]

4 Curtis knows that when he spins a certain spinner, it will land on green

about 1 __ 6 of the time. If he spins that

spinner 48 times, how many spins can he expect to land on green?

F 6 H 42

G 8 J 288

[Lesson 9-7]

5 Anna picks a letter tile from a bag that contains the following letters:

A, G, H, E, A, R, S, T, X, O

What is the probability that Anna will pick a vowel from the bag?

A 1 __ 3 C 3 __ 5

B 2 __ 5 D 2 __ 3

[Lesson 9-1]




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Practice TestApplied Skills

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

1 Aaron earns $6.78 per hour, after taxes, working at his neighborhood ice cream shop. He works an average of 20 hours per week at the shop. If he saves one-third of his earnings each week, how much will he save each week?

Show All Work

Answer

Aaron is saving his money to buy a new bicycle. The cost of the bicycle he wants is $339.95, with tax included.

Aaron continues to work 20 hours a week and save one-third of his earnings. How many complete weeks will Aaron need to work at the ice cream shop to save enough money for the bicycle?

Show All Work

Answer weeks

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Practice TestApplied Skills (continued)

2 What is the slope of the line on the following coordinate grid?

-4-6-8

-4-6-8 4 86

2

2

468

y

x

Show All Work

Answer

Draw another line on the graph that has the same slope and passes through the origin. Name a point other than (0, 0) that lies on that line.

Answer

3 A cross-country train travels at an average speed of 60 miles per hour. How long will it take for it to travel 3,000 miles? Write your answer in terms of days and hours.

Show All Work

Answer

A high-speed train travels at a rate of 75 miles per hour, but its route is only 1,500 miles long. How many more hours will the slower train take to travel 3,000 miles than the high-speed train will take to reach its destination 1,500 miles away?

Show All Work

Answer hours

PDF 2ndIN63-IN68_PTASG7_893998.indd 64IN63-IN68_PTASG7_893998.indd 64 7/7/09 6:02:24 PM7/7/09 6:02:24 PM


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4 The speed of light is 300,000,000 meters/second. The sun is an average of about 150,000,000,000 meters from Earth. About how many seconds does it take light from the sun to reach the Earth? Express your answer in scientific notation.

Show All Work

Answer seconds

Mercury’s distance from the sun ranges between 46 million kilometers and 70 million kilometers. How many meters is 46 million kilometers? Write your answer in scientific notation. Explain how you reached your answer.

Show All Work

Answer meters

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5 An employee in a company made $25,000 in 2006. In 2007 she earned an annual salary of $30,000. What percent raise did she get between 2006 and 2007?

Show All Work

Answer

Between 2007 and 2008 the employee received a 15% raise. Given that she earned $30,000 in 2007, what was her annual salary in 2008?

Answer

6 On her math test, Marta scored 21 correct out of 28 problems. On her social studies test, she scored 32 correct out of 40 questions. What percent correct did Marta score on each test?

Show All Work

Answer

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7 The first four figures in a geometric pattern are shown below.

How many white boxes will there be in the 5th figure in the geometric pattern?

Show All Work

Answer

How many MORE shaded boxes will there be in the 27th figure in the geometric pattern compared to the 25th figure? Explain your answer.

Answer



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8 Four friends spent an evening at the bowling alley. Two of them needed to rent bowling shoes, and then they each bowled 4 games. The cost of each pair of rental shoes is $2.50. Write an equation that can be used to find the cost of each game if the total amount spent by the four friends is $53.

Answer

The bowling alley offers a promotion. If one person spends $100 or more on games in a month, he or she will win a free pair of bowling shoes. Based on the equation, how many full games does a person need to bowl in a month to win a free pair of bowling shoes?

Show All Work

Answer full games



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Practice TestSession 1

PDF Pass

1 The length of one side of a square is 20 inches. What is the area of the square, in square inches? Fill in your answer on the response grid below.

2 David has three lengths of rope that

are each 10 2 __ 3 yards long. How many

yards of rope does he have in all?

A 30 2 __ 3 yd

B 32 yd

C 32 2 __ 3 yd

D 33 yd

3 If quadrilateral ABCD is translated 5 units to the right and 6 units up, what will be the new coordinates of point B?

-5

-2-3-4

-2-3-4-5-6-7-8-9 2 4 5 6 7 8 93

1

1

234567

y

x

-6-7-8-9

89

F (3, 3)

G (3, –9)

H (–7, 3)

J (4, 2)

4 A baseball player hit 18 home runs in 2007. In 2008, he hit 27 home runs. By what percent did his home run total go up from 2007 to 2008?

A 9%

B 50%

C 67%

D 90%

Fill in the bubble next to the correct answer.

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Practice TestSession 1 (continued)

PDF Pass

5 Katie is making a cylindrical container to collect change for a charity. Which net can she use to make the cylinder?

F

G

H

J

6 The table below shows the average number of rainy days per month in Evansville between July and November.

Average Rainy Days Per Month in Evansville

Month Days of Rain (0.01 in. or more)

July 9

August 7

September 7

October 8

November 10

The average number of rainy days in Evansville in December is 11. How does that affect the mean, median, or mode for the number of rainy days per month in the data set?

A The mean will go up, but the median and mode will not change.

B The mean and the median will go up, but the mode will not change.

C The mean and the mode will go up, but the median will not change.

D The mean, median, and mode will all go up.



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7 The table below shows the types of instruments students in the band play.

Instrument StudentsBrass (B) 38

Percussion (P) 18

Wind (W) 32

Strings (S) 12

Which graph best shows the number of students who play each type of instrument compared to all students in the band?

F3020

010N

umbe

r of

Stud

ents

y

xB P W S

G

H

3040

20

010

50

60

Num

ber o

f Stu

dent

s

P W SB

J Brass

Percussion

Wind

Strings

= 10 studentsKey:

8 What is the value of 9.01 × 103? Fill in your answer on the response grid below.

9 Simplify the following algebraic expression.

(12 – 8)(3x) – 2x

A 4x

B 12 – 26xC 14x

D 10x



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10 In the diagram below, lines x and z are parallel.

75°

x y z

ws

What is the measure of angle s?

F 75°

G 85°

H 105°

J 15°


A 12

B 43

C 64

D 256

12 Which of the following graphs shows a line with a slope of –0.5 that includes point (0, 5)?

F

-2

2 4 5 6 73

1

1

23456

y

x

G

-2

-4 -2 1-3

1

-5-6-7

23456

y

x

H

-2

1 2 3 4

1

-2-3-4

23456

y

x

J

-2

2 4 5 6 73

1

1

23456

y

x



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13 Franklin picks a marble from a bag 40 times, replacing the marble in the bag after each pick. The results of his picks are shown in the table below.

Color Marble Times PickedOrange 10

Purple 2

Blue 18

Pink 10

Based on this sample, how many times would Franklin expect to pick a purple marble in 100 picks, replacing it after each pick?

A 5

B 20

C 50

D 200

14 The approximate width of Indiana is about 140 miles. How long would it take a person driving at an average speed of 60 miles per hour to drive completely across the width of the state?

F 43 minutes

G 1 hour, 40 minutes

H 2 hours, 20 minutes

J 2 hours, 33 minutes

15 What is the slope of the following graph?

-2-3-4

-2-3-4 2 43

1

1

234

y

x

A -2

B - 1 __ 2

C 1 __ 2

D 2

16 Paloma plays a game by picking letter tiles out of a bag. The letters in the bag spell T E X T B O O K. What is the probability that Paloma will pick the letter T with one pick?

F 1 __ 8

G 1 __ 4

H 1 __ 3

J 8 __ 2



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17 What is the prime factorization of 50?

A 5 × 10

B 5 × 22

C 2 × 25

D 52 × 2

18 Seventeen less than 9 times a number x is 19. Which of the following equations shows this relationship?

F 9x – 19 = 17

G 17 – 9x = 19

H 9 – 17x = 19J 9x – 17 = 19

19 The ratio of north-south interstate highways that go through Indianapolis to east-west interstate highways that go through Indianapolis is 1:1. There are 2 north-south interstate highways that go through Indianapolis. How many east-west interstate highways go through Indianapolis?

A 1

B 2

C 3

D 4

20 Two legs of a right triangle are 2 inches and 3 inches long. What is the length of the shorter leg of a similar right triangle if its longer leg is 12 inches long?

F 6 inches H 11 inches

G 8 inches J 18 inches

21 The first five figures in a geometric pattern are shown below.

1 2 3 4 5

What will the 44th figure in the geometric pattern look like?

A

B

C

D



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22 A company that makes MP3 players reports its sales to its investors using the following line graph.

20001000

0

300040005000600070008000

2006 2007 2008

MP3 Player Sales

MP3

Pla

yers

Sol

d

In what way could the graph be misleading?

F The company sold its MP3 players at a smaller cost, and for a smaller profit, in 2008.

G The company introduced a larger MP3 player in 2008 that held more songs.

H The company added several new colors and designs for their MP3 players in 2008.

J The company did not include data from 2005, when it sold only 2,500 MP3 players.

23 What is the only whole number that is both a prime number and evenly divisible by 5? Fill in your answer on the response grid below.

24 Which point on the number line represents 2π?

9 10876543210

A point A

B point BC point C

D point D



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

20 – 4x = 10

F –2.5

G 2.5

H 7.5

J 10

26 A garden supply store is having a sale on potting soil. It sells four different sizes of bags of soil. A bag with 4 cubic feet of soil costs $16. A bag with 6 cubic feet of soil costs $22. A bag with 8 cubic feet of soil costs $24. A bag with 10 cubic feet of soil costs $32. Which bag has the cheapest cost, per cubic foot, for the potting soil?

A the bag with 4 cubic feet of soil

B the bag with 6 cubic feet of soil

C the bag with 8 cubic feet of soil

D the bag with 10 cubic feet of soil

27 If the value of k in the following equation is 6, what is the value of m?

6k = 10m – 4

F 3.2

G 4

H 36

J 40

28 Four friends buy a tent together for a camping trip. They split the cost of the tent equally. If the cost of the tent was $138.44, including tax, how much did each friend pay? Fill in your answer on the response grid below.



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29 After it was built in 1930, the Lincoln National Bank Tower in Fort Wayne was the tallest building in Indiana for more than 30 years. At one point during the day, a man who is 2 meters tall standing next to the tower casts a shadow that is 4 meters long. At the same time, the Lincoln National Bank Tower casts a shadow that is 190 meters long. What is the height of the Lincoln National Bank Tower?

A 95 meters

B 105 meters

C 188 meters

D 380 meters

30 The line plot shows the number of students absent during eight different weeks of the school year. How many weeks were at least one student absent?

1 2 3 4 5 6 7 8

×

×

×

×

×

× ×

×

×

×

×

×

×

×

×

×

F 0

G 3

H 5

J 6

31 Barry spends 20% of his weekly allowance on a fruit smoothie. If the cost of the smoothie is $3, how much is his weekly allowance?

A $0.60

B $12

C $15

D $60

32 Simplify the following numerical expression. Fill in your answer on the response grid below.

8 + 11 × 2 – 1

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33 If quadrilateral ABCD is reflected over the x-axis, what will be the new coordinates of point A?

-2-3-4

-2-3-4 2 43

1

1

234

y

x

F (2, 1)

G (–2, 1)

H (–2, –1)

J (–1, –2)

34 Tawney asks 50 students in her school whom they plan to vote for in the school’s election for president. Fifteen say they will vote for her. Based on that sample, which is the best estimate for the number of votes Tawney will get out of 400 students who vote in the election?

A 30

B 65

C 120

D 280

35 A rock climber climbs a mountain at a rate of 12 feet per minute. After one hour, she takes a 15-minute break and then continues climbing for another 45 minutes. How many feet will the rock climber have climbed after the 2 hours? Fill in your answer on the response grid below.



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Practice TestSession 2

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1 The town of Somerville, Indiana, had a population of 223 in 1990. By 2000, the population had grown to 312. What is the approximate percent increase in population in Somerville between 1990 and 2000?

A 40%B 60%C 71%D 90%


F 28G 343H 2,401J 4,096

3 What is the simplified form of the following algebraic expression?

8(5 + 5y) – 2y (6 + 4)

A 40 + 20yB 44 – 5yC 40 + 60yD 40y + 20

4 In the diagram below, lines a and c are parallel.

121°a

bc

rs

What is the sum of the measures of angles r and s, in degrees? Fill in your answer on the response grid below.

Fill in the bubble next to the correct answer.



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5 Which point on the number line represents – √

___ 10 ?

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

F point FG point GH point HJ point J

6 Darren drives his boat from Michigan City, Indiana, to East Chicago, Indiana, across Lake Michigan. The average speed of his boat is 12 miles per hour. The trip takes two and a half hours. About how many miles did Darren drive his boat from Michigan City to East Chicago?

A 4.8 milesB 20 milesC 24.5 milesD 30 miles

7 Two legs of a right triangle are 3 inches and 4 inches long. What is the length of the longer leg of a similar right triangle if its shorter leg is 102 inches long?

F 76.5 inchesG 103 inchesH 126 inchesJ 136 inches

8 What is 405,000 in scientific notation?

A 4.05 × 104

B 4.05 × 105

C 4.50 × 105

D 4.5 × 106

9 What is the value of w in the following equation?

56 – 4w = 28

F –28G –7H 7J 28



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10 The ratio of players on a basketball team that are taller than 6 feet to players that are 6 feet tall or shorter is 3:1. If there are 9 players on the team taller than 6 feet, how many players are 6 feet tall or shorter?

A 2B 3C 7D 27

11 What is the slope of the following graph?

-2-3-4

-2-3-4 2 43

1

1

234

y

x

F –2G –0.5H 0.5J 2

12 Which of the following nets could be used to create a pentagonal prism?

A

B

C

D



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13 The area of a square is 625 square inches. What is the length of one side of the square, in inches? Fill in your answer on the response grid below.

14 Luis rolls a number cube numbered from 1 to 6. What is the probability that he will roll an even number greater than 4?

F 1 __ 6

G 1 __ 2

H 2 __ 3

J 6 __ 4

15 Rose has her MP3 music files sorted into folders based on type of music. Which graph best displays data for comparing the number of folders in each category to the total number of folders?

A

68

4

02

10

Num

ber o

f Fol

ders

Type of Music

Alt

Coun

try Rap

Hip ho

p

Rock

B

68

4

02

10N

umbe

r of F

olde

rs

Type of Music

Alt

Coun

try Rap

Hip ho

p

Rock

C

68

4

02

10

Num

ber o

f Fol

ders

Type of Music

Alt

Coun

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Hip ho

p

Rock

D



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16 Between May and October 2007, Indiana farmers produced the following amounts of creamed cottage cheese, in tons.

Month Creamed Cottage Cheese Produced (tons)

May 511

June 493

July 502

Aug. 514

Sept. 498

Oct. 503

In November 2007, Indiana farmers produced 458 tons of creamed cottage cheese. How will this data affect the mean and median of the creamed cottage cheese production for the time period?

F The mean will decrease, but the median will not change.

G The median will decrease, but the mean will not change.

H The mean and the median will both decrease.

J The mean and median will both increase.

17 There are 5 equal-sized slices of a pizza remaining. Two friends each take half of the remaining pizza. If the pizza originally had 8 equal slices, what fraction of the whole pizza did each friend take?

A 3 ___ 16

B 5 ___ 16

C 3 __ 8

D 1 __ 2

18 The figures below are the first three figures in a geometric pattern.

How many shaded squares will be in the next figure in the pattern?

F 21G 22H 24J 25



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19 The hottest temperature ever recorded in Indiana was 116°F, in Collegeville, on July 14, 1936. What is the prime factorization of this number?

A 58 × 2B 4 × 29C 24 × 29D 22 × 29

20 If the triangle is reflected across the y-axis, what will be the coordinates of point C′?

-2-3-4

-2-3-4 2 43

1

1

234

y

x

F C′(1, 0)G C′(3, –1)H C′(–3, –1)J C′(–3, 1)

21 Which of the following graphs shows a line that passes through points (–4, –1) and (4, 1)?

A

-2-3-4

-2-3-4 2 43

1

1

234

y

x

B

-2-3-4

-2-3-4 2 43

1

1

234

y

x

C

-2-3-4

-2-3-4 2 43

1

1

234

y

x

D

-2-3-4

-2-3-4 2 43

1

1

234

y

x



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22 The product of 12 and a number, z, is less than or equal to 88. Which of the following inequalities shows this relationship?

F 88 ≤ 12zG 12 + z ≤ 88H 12 ≤ 88zJ 12z ≤ 88

23 A band is trying to determine whether more people would attend a free outdoor concert in a park on Saturday night or on Sunday afternoon. Which survey question is most likely to provide the best answers?

A Would you be more likely to attend a free concert in the park on Saturday evening or Sunday afternoon?

B Which day of the week would be best for you to go to a free concert in the park?

C Wouldn’t it be nicer to go to a free concert in the park during the daytime than on a Saturday night?

D Are you excited about seeing a concert in the park for free this weekend?

24 A sporting goods company charges a different amount for team jerseys depending on the number of jerseys purchased. The numbers of jerseys in each order and the prices for each are shown in the following table.

Number of Jerseys per Order

Cost

12 $966

28 $196

64 $320

96 $576

Which order size offers the best price per jersey for the consumer?

F the 12-jersey orderG the 28-jersey orderH the 64-jersey orderJ the 96-jersey order

25 A battery manufacturer wants to sell batteries in packages that can be split into as many different-sized equal groups as possible. Which of the following numbers of batteries should be put in each package?

A 8B 12C 15D 21

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26 The value of q in 15q – 5p = 85 is 8. What is the value of p? Fill in your answer on the response grid below.

27 8 students in Mrs. Miller’s class missed at least one day of school last month. This represents 25% of the class. How many students are in Mrs. Miller’s class?

F 2G 22H 24J 32

28 Jamaal spun the pointer on a spinner 25 times and got the following results:

Color Times Landed On

Brown 8

Peach 10

White 6

Purple 1

Based on his sample, how many times would Jamaal expect his pointer to land on a peach section of the spinner in 150 spins?

A 35B 40C 60D 250

29 Last week Annabelle wrote 35 e-mails to her friends. Of those, 15 were to her best friend, Benita. Which ratio compares Annabelle’s e-mails to Benita to Annabelle’s e-mails to all her other friends last week?

F 15:20G 15:35H 20:35J 20:15



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30 Which of the following graphs shows a line that passes through point (0, –2) and has a slope of –2?

A

-2-3-4

-2-3-4 2 43

1

1

234

y

x

B

-2-3-4

-2-3-4 2 43

1

1

234

y

x

C

-2-3-4

-2-3-4 2 43

1

1

234

y

x

D

-2-3-4

-2-3-4 2 43

1

1

234

y

x

31 Triangles PQR and XYZ are similar.

25

20 30

30

24

What is the length of ___

XY ?

F 30G 34H 35J 36

32 In 2003, students with the University of Indianapolis found a tool that was determined to be 10,400 years old. What is this number in scientific notation?

A 1.04 × 103

B 1.04 × 104

C 1.4 × 104

D 10.4 × 104



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33 A local arts and crafts store charges $0.78 for every foot of ribbon. What is the cost for 6.5 feet of ribbon, in dollars? Fill in your answer on the response grid below.

34 What set of values for r is the solution for the following inequality?

–12r – 48 < 36

F r > –7G r < –7H r < 1J r < 7

35 What transformation or transforma-tions can be used to create A′B′C′ from triangle ABC on the coordinate grid below?

-2-3-4

-2-3-4 2 43

1

1

234

y

x′

′′

A a reflection over the line x = yB a translation two units to the left

and then 4 units downC a reflection over the y-axis and

then a translation of 4 units downD a rotation of 180 degrees about

the origin

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IN0i TPG7 893998 - Glencoeglencoe.com/sites/indiana/student/mathematics/assets/pdfs/mc2_in... · the ISTEP+ Practice and Assessment for the Indiana Statewide Testing for Educational