The Georgia Standardized Test Practice · PDF fileThe Georgia Standardized Test Practice Workbook ... Concepts and Skills ... 2a 1 6 5 10 32 5 7a 1 4 a 5 5

McDougal Littell

The Georgia Standardized Test Practice Workbook provides practice exercises for every lesson in a standardized test format. Included are multiple-choice,quantitative-comparison, and multi-step problems. Thestandardized test practice for every lesson is correlatedto the Georgia Quality Core Curriculum and the GeorgiaHigh School Graduation Test Standards. At the end of thebook you will find practice for the Georgia End-of-CourseTest.

Copyright © 2001 by McDougal Littell Inc.All rights reserved.

No part of this work may be reproduced or transmitted in any form or by anymeans, electronic or mechanical, including photocopying and recording, or byany information storage or retrieval system, without the prior written permissionof McDougal Littell Inc. unless such copying is expressly permitted by federalcopyright law. Address inquiries to Manager, Rights and Permissions, McDougalLittell Inc., P.O. Box 1667, Evanston, IL 60204.

ISBN: 0-618-14245-2

123456789-MDI-04 03 02 01 00

Contents

Chapter1 Standardized Test Practice 1–8

2 Standardized Test Practice 9–16





Cumulative Standardized Test Practice 48–51







Georgia End-of-Course Practice Test 97–100

Answers A1-A6

Copyright © McDougal Littell Inc. All rights reserved.

Algebra 1, Concepts and Skills iiiGeorgia Standardized Test Practice Workbook

GA QCC: 1, 3

GHSGT: 34, 35, 37

Algebra 1, Concepts and Skills 1Georgia Standardized Test Practice Workbook

1. Multiple Choice What is the value of theexpression when

A 14 B C

D 5 E

2. Multiple Choice What is the value of theexpression when

A 8 B C 9

D 3 E

3. Multiple Choice Evaluate when

A 6 B C 18

D E

4. Multiple Choice Find the area of a triangleif the height is 6 inches and the base is 9inches.

A 7.5 B 18 C 15

D 54 E 27


A B C

D E

6. Multiple Choice The variable expression for3 times plus 1.2 is

A B

C D

Ex3

1 1.2

x 1 1.2 ? 33x 1 1.2

3x 1 3.61.2x 1 3

? .x

47

45

127

11121

810

x 523.6

7x

sHint: Area of a triangle is A 512bh.d

21226

218

y 5 4.3y 2 6

29

23

x 5 3?2x 1 3

219

2925

x 5 2?7 2 x7. Multiple Choice Which is the variable

expression for 26 divided by plus 5?

A B

C D

E

8. Multiple Choice A bat can eat 0.05 poundsof mosquitoes in an hour. If it eats for 6.5hours, how many pounds of mosquitoes willit consume?

A 0.6 lb B 0.325 lb

C 0.13 lb D 3.25 lb E 1.3 lb

9. Multiple Choice Your parents invested$1000 in a college savings account earning5.5% interest. If this was invested 12 yearsago, how much interest has it earned? Use theformula I 5 Prt.

A $66.00 B $660.00

C $666.00 D $2182.00

E $60.00

Quantitative Comparison In Exercises 10–13,choose the statement below that is true about thegiven numbers.

A The number in column A is greater.

B The number in column B is greater.

C The two numbers are equal.

D The relationship cannot be determinedfrom the given information.

10.

11.

12.

13.

w5

2 26

26 4 5w26w 1 5

w26

1 526w

1 5

w

TEST TAKING STRATEGY Spend no more than a few minutes on each question.

Standardized Test PracticeFor use with pages 3–8

1.1LESSON


Ch

apter 1

Column A Column B

when x 5 46x

when y 5 33y 2 6

10 times y 10 divided by y

when z 5133z 1 4 when

z 5 10

12z 2 3

when a 514

23a 1

12 when a 5 72

5 a 213

GA QCC: 1, 3

GHSGT: 1, 34, 35

2 Algebra 1, Concepts and SkillsGeorgia Standardized Test Practice Workbook


Ch

apte

r 1

1. Multiple Choice Which algebraic expression is equivalent to

A B C

D 30 E

2. Multiple Choice Express the meaning of thepower in numbers.

A B

C D

E

3. Multiple Choice Evaluate the expression when

A 125 B 243 C 15

D 8 E 81

4. Multiple Choice Evaluate the expressionwhen and

A 16 B 19 C 1

D E 34


A 67 B 31 C 21

D 1728 E 343


A 25 B 17 C 144

D 30 E 22

7. Multiple Choice Evaluate the expressionwhen

A 625 B 162 C 48

D 1296 E 24

a 5 2.s3ad4

y 5 4.x 5 72x 1 sy2d

p 5 3.m 5 4sm 1 pd3

26

y 5 3.x 5 5x2 2 3y

x 5 3.x5

3 ? 3 ? 3 ? 3 ? 3 ? 3

21913s7d3 ? 3 ? 3 ? 3 ? 3 ? 3 ? 37 ? 7 ? 7

37

65

7776566s5d6 ? 6 ? 6 ? 6 ? 6?

8. Multiple Choice Halie’s bedroom is a cubemeasuring 10 feet along the base of each walland 10 feet high. Which expression is used tocalculate the square footage needed to wall-paper her room?

A B

C D

E

9. Multiple Choice A cylindrical vase is 14 inches high and has a radius of 5 inches.Determine the volume if the formula is 3.14times the square of the radius times height.

A B 353.14 C 1099

D 439.6 E 1380

10. Multi-Step Problem You have a largerectangular fish tank measuring 3 feet acrossby 2 feet deep by 2 feet high. You want to fillit of the way with water.

a. What is the volume of the fish tank incubic feet?

b. If one cubic foot is equal to 7.48 gallons,how many gallons of water can the tankhold?

c. How many gallons will fill the tank full?

d. Would a fish tank measuring 3 feet acrossby 4 feet deep by 2 feet highdouble the volume of your current fishtank?

34

34

3077

s4 ? 10d2

42 ? 104s102d103104

TEST TAKING STRATEGY As soon as the testing time begins, start working.

Keep moving and stay focused on the test.


1.2LESSON

GA QCC: 1, 3

GHSGT: 3, 5, 34



Ch

apter 1


A 47 B 142 C 22

D 72 E 34


A B 1701 C 7

D E 567

3. Multiple Choice Evaluate the expression

when

A 23 B 3.14 C 17.5

D 4.4 E 13.5


A B C

D E


A 72 B 66 C 60

D 36 E 90

6. Multiple Choice Insert grouping symbolsinto to produce the value 45.

A B

C D

E s1 1 4 ? 3d2 1 2

s1 1 4d ? 32 1 21 1 4 ? s32d 1 2

1 1 4 ? s32 1 2d1 1 s4 ? 3d2 1 2

1 1 4 ? 32 1 2

6 ? s32 1 6d.

712

13

14

2984

112

x 512.2

3x2 21

12

x 5 2.88x4 1 6x

213

712

y 5 3.126 4 2y3

x 5 3.4x2 2 27. Multiple Choice Evaluate

A 41 B 9 C 24

D 40 E 11

8. Multiple Choice What is the value of

A B C

D E

9. Multiple Choice If your state charges a 6% sales tax on all items except food andclothing, what is the sales tax if you boughtgroceries for $22.15, a pair of jeans for$32.00, a video for $16.00, and books for$35.00?

A $6.31 B $4.39 C $4.98

D $2.10 E $3.06

Quantitative Comparison In Exercises 10–12,choose the statement below that is true about thegiven numbers.





10.

11.

12.

34

3121

38

124

214

15 2 6 ? 28 ? s42 2 7d?

13s48 1 3d 2 23.

TEST TAKING STRATEGY If you can, check an answer using a method that is differ-

ent from the one you used originally, to avoid making the same mistake twice.


1.3LESSON

Column A Column B

s19 2 4d2 1 5 19 2 42 1 5

18 1 9 4 3 2 6 15 4 3 ? 22 2 5

3 1 62 4 4 1 2 12 4 3 ? 22 2 1

GA QCC: 1, 3

GHSGT: 5, 35, 37



Ch

apte

r 1

1. Multiple Choice The solution of the equation is

A 4 B 3 C 14 D 12 E 5


A 5 B 4 C 2 D 3 E 6


A 1 B 4 C 3 D 5 E 2

4. Multiple Choice Determine which equationhas a solution of

A B

C D

E

5. Multiple Choice Determine which equationhas a solution of

A B

C D

E

6. Multiple Choice Which equation does nothave a solution of

A B

C D

E

7. Multiple Choice Which equation is a translation of “3 times a number decreased by 6 gives 18”?

A B

C D

E 3x 2 6 5 18

3x 1 6 5 186 2 3x 5 18

6 2 3x 5 183x 4 6 5 18

16 5 22 2 w

w2 1 3 5 3912 1 2w 5 18

10w 2 22 5 383w 2 4 5 14

w 5 6?

16 2 a2 5 8

25 2 3a 5 1012 2 a 5 4

32 5 7a 1 42a 1 6 5 10

a 5 5.

5 1 2x 5 13

4 1 2x 5 3x 2 118 2 3x 5 12

16 5 12x 1 14x 1 6 5 18

x 5 3.

? .10x 2 6 5 10 1 6x

? .15 2 2y 5 7

? .7x 1 2 5 238. Multiple Choice Using the interest formula,

determine the amount of principlethat must be invested to earn $50 interest over2 years at a rate of 5%.

A $500 B $200 C $50

D $2000 E $5000

9. Multiple Choice Determine which inequali-ty has a possible solution of

A B

C

D A and B only

E A and C only

10. Multiple Choice Match the sentence “thesum of 10 and twice is less than 25” withits mathematical representation.

A B

C D

E

11. Multi-Step Problem You are saving moneyto go to summer camp. You need at least $500to cover all your costs, and you’ve alreadysaved $150. You can save an additional $20every week.

a. Write an inequality to model the situationusing for weeks.

b. What do the 150 and the 20 represent?

c. How long will it take you to save enoughmoney?

d. If you only save $15 a week, how longwill it take you to save enough money?

w

10 2 2x < 25

2 1 10x < 2510 1 2x > 25

10 1 2x < 2510s2 1 xd < 25

x

15 > 4x 2 6

10 2 2x < 32x < 8

x 5 3.

I 5 Prt,

TEST TAKING STRATEGY Avoid spending too much time on one question.


1.4LESSON

GA QCC: 1, 3

GHSGT: 37



Ch

apter 1

1. Multiple Choice Choose the correctalgebraic translation of “five less than thesum of a number and six.”

A B

C D

E

2. Multiple Choice Choose the correctalgebraic translation of “five plus theproduct of eight and a number.”

A B C

D E

3. Multiple Choice Choose the correctalgebraic translation of “three squaredplus the quantity of six times a number.”

A B

C D

E

4. Multiple Choice Choose the correctalgebraic translation of “the product of 12and a number is 7.”

A B

C D

E

5. Multiple Choice Choose the correctalgebraic translation of “thirty-six is theproduct of and 12.”

A B

C D

E 12w 5 36

36w 5 12w 2 12 5 36

36 5w12

36 5 w 1 12

w

12x

5 7

12 5 7x12 1 x 5 7

x12

5 712x 5 7

3s2d 16y

32 16y

3s2d 1 6y

32 1 6ys32 1 6dy

5 1 s8 1 xd8 1 5x

5 18x

5 1 8x8s5 1 xd

s5 2 xd 1 6

sx 1 6d 2 5x 2 5 1 6

5 2 sx 1 6d5 2 x 1 6

6. Multiple Choice Choose the correct alge-braic translation of “seven less than the prod-uct of five and a number is less than fourteen.”

A B

C D

E

7. Multiple Choice The lease agreement ona new car requires a downpayment of $1200and $269 a month for 24 months. There isan additional fee of $.15 per mile for allmiles, driven over 25,000 miles. Choosethe correct model for the cost, of the car,if you drive more than 25,000 miles.

Quantitative Comparison In Exercises 8–11,choose the statement below that is true about theunknown numbers.

A The unknown in column A is greater.

B The unknown in column B is greater.

C The two unknowns are equal.


8.

9.

10.

11.

C,m,

7 < 5x 1 14

5x 2 7 > 145x 2 7 < 14

7 2 5x > 147 2 5x < 14

TEST TAKING STRATEGY Skip questions that are too difficult for you, and spend no

more than a few minutes on each question.


1.5LESSON

Column A Column B

A number decreased bythree squared is six.

Ten times a number isfive squared times six.

A number divided byfive is less than eight.

The product of 14and a number isgreater than 11.

The product of anumber and eight is 32.

The quotient of anumber and sixteenis five.

Seven times a numberdecreased by six is 15.

Nine more thansixteen divided by anumber is seventeen.

A

B

C

D

E 1200 1 269s24d 1 0.15sm 2 25,000d 5 C

1200 1 269s24d 1 0.15m 5 C

1200 1 269 1 24 1 0.15m 5 C

1200 1 269s24d 1 0.15s25,000 2 md 5 C

1200 1 269 1 0.15s25,000 2 md 5 C

GA QCC: 1, 3, 6

GHSGT: 38


1.6LESSON


Ch

apte

r 1

Multiple Choice For Exercises 1–5, use thefollowing information. You are planting a gardenwith 3 varieties of flowers. Your garden space is36 inches deep by 72 inches wide. You want toleave 4 inches of space all around the outside, and3 inches between flower varieties. Assume eachflower bed will be the same width.

1. Which equation can be used to find the widthof each variety of flower bed?A B

C D

E

2. To the nearest tenth of an inch, how wide caneach variety of flower bed be?A 7.3 in. B 19.3 in.

C 20.7 in. D 18.3 in.

E 6.3 in.

3. Which equation can be used to find the depthof each flower bed?

A B

C D

E

4. How deep can each type of flower plantingbe?A 9.3 in. B 32 in.

C 21.3 in. D 64 in.

E 28 in.

5. If you double the width of your flower bed,how wide (to the nearest tenth of an inch) caneach variety of flower bed be?A 38.6 in. B 36.6 in.

C 14.6 in. D 43.3 in.

E 56 in.

8 1 3x 5 72

8 1 x 5 728 1 x 5 36

4 1 x 5 368 1 3x 5 36

3x 1 17 5 36

3x 1 10 5 723x 1 17 5 72

3x 1 14 5 363x 1 14 5 72

6. Multiple Choice You have $210 and save$5 a week. Your friend has $265, savesnothing, and spends $10 a week. Determinehow many weeks it will take before you havemore money that your friend. Which one ofthe choices below can be used to check youranswer?

I.

II.

III.

A I only B II only

C III only D I and II

E I and III

7. Multi-Step Problem Two cross-countryskiers leave the ski lodge at the same time,and travel the same trail. The first skierreturns to the lodge after hours andaveraged 8 miles per hour. The second skierreturns 195 minutes later.

a. Draw a diagram modeling the situation.

b. Find the second skier’s speed.

c. Find the distance traveled by the skiers

d. The second skier had to stop for 15 minutesto wax his skis. What was the speed of thisskier if you consider only skiing time?

212

x

y

00

190

210

230

250

1 2 3 4 5D

ollars

Weeks

You

Your friend

TEST TAKING STRATEGY Some questions involve more than one step. Reading too

quickly might lead to mistaking the answer to a preliminary step for your final

answer.


Week 0 1 2 3 4You 210 215 220 225 230Friend 265 255 245 235 225

Week 1 2 3 4 5YouFriend 250240230220210

12512011511015

GA QCC: 1

GHSGT: 13, 14



Ch

apter 1

Multiple Choice In Exercises 1–4, use thefollowing information and graph to determine thecorrect answer.

Australia has the highest incidence of petownership in the world, with 66% of householdsowning a pet.

1. Which state has the highest total spending onpet care?

A NSW B VIC C QLD

D SA E WA

2. Which two states spent about the sameamount of money on “other” pet care?

A NSW and VIC B VIC and QLD

C QLD and SA D SA and WA

E WA and QLD

3. What is the approximate total expenditure ondog and cat care in SA?

A $345 million B $710 million

C $220 million D $525 million

E $150 million

050

100

150200

250300350

400

450500

Co

st

(millio

ns o

f d

ollars

)

NSW VIC QLD SA WA

State

Australian Expenditures on Pet Care (1996)

Dogs

CatsOther

4. Which state spent approximately $150million on cat and other pet expenditures?

A NSW B VIC C QLD

D SA E WA

5. Multiple Choice In which three years didhome ownership increase?

A 1984, 1985, 1986 B 1987, 1988, 1989

C 1996, 1997, 1998 D 1986, 1987, 1988

E 1993, 1994, 1995

Quantitative Comparison In Exercises 6–8,refer to the graph in Exercise 5 and choose thestatement that is true about the given numbers.





6.

7.

8.

00

70

71

72

73

74

75

76

77

2 4 6 8 10 12 14

Years since 1984

Perc

en

t o

wn

ing

ho

mes

Home Ownership in Maine

TEST TAKING STRATEGY Work as fast as you can through the easier problems, but

not so fast that you are careless.


1.7LESSON

Column A Column B

ownership rate in 1987 ownership rate in 1990



GA QCC: 1, 3, 6

GHSGT: 13, 35, 38


1.8LESSON


Ch

apte

r 1

1. Multiple Choice Choose the correct domainfor the function where

and w is an integer.

A 0, 1, 2, 3, 4, 5

B 1, 2, 3, 4, 5

C 35, 40, 45, 50, 55

D 40, 45, 50, 55

E 40, 41, 42, 43, 44, 45

2. Multiple Choice Choose the correct rangefor the function where

and x is an integer.

A 0, 1, 2, 3, 4

B 0, 1, 2, 3

C 250, 260, 270, 280, 290

D 250, 260, 270, 280

E 260, 261, 262, 263, 264

3. Multiple Choice Choose the table that doesnot represent a function.

A

B

C

D

E

0 ≤ x ≤ 4y 5 250 1 10x

0 ≤ w ≤ 5t 5 35 1 5w

4. Multiple Choice Choose the equation thatdescribes the function containing all of thepoints shown in the table.

A B

C D

E

5. Multiple Choice A bag of puppy fooddirects you to feed cup for every 10 poundsthe puppy weighs. Choose the correct repre-sentation of cups, as a function of bodyweight,

A B

C D

E

6. Multi-Step Problem Your high school bandis selling sub sandwiches for a fund raiser. Itcosts $1.25 to make each sandwich. They sellthem for $2.50 each.

a. Write a function that determines the profitfrom the sale.

b. The band must pay a $75 fee to use thecafeteria to assemble the sandwiches.Write a function that includes this cost.

c. The band wants $1000 profit. How manysandwiches must they sell?

d. If they sell 820 sandwiches, what was theprofit earned?

c 512

sw 2 10d

w 512

1 10cc 512

1 w

c 5121

w102c 5

12

s10wd

w.c,

12

y 5 8x 1 7

y 5 16 2 2xy 5 4x 1 7

y 5 7 1 2x2y 5 12 1 x2

TEST TAKING STRATEGY If you can, check your answer using a method that is differ-



Input 0 1 2 3 4 5Output 7 15 23 31 39 47

Input 0 1 2 3 4Output 10 15 20 25 30

Input 1 2 3 4 5Output 6 12 18 24 30

Input 0 1 2 3 4Output 5 10 15 30 90

Input 0 0 1 1 2Output 7 9 11 13 15

Input 1 2 3 4 5Output 3 3 5 5 7

GA QCC: 1, 3

GHSGT: 2, 13


2.1LESSON


Ch

apter 2

TEST TAKING STRATEGY If you can, check an answer using a method that is differ-



1. Multiple Choice Choose the number repre-sented on the graph.

A B C

D E

2. Multiple Choice Choose the correct ordering(in increasing order) of the following numbers: 2,

A

B

C

D

E

3. Multiple Choice Choose the correct ordering(in increasing order) of the following numbers:

A

B

C

D

E

Multiple Choice For Exercises 4 and 5, refer tothe table showing high temperatures in January forone week in Pittsburgh, PA.

4. What was the coldest temperature recorded?A B C

D E 2108258

2283808

23, 234, 20.5, 0, 12, 6

23, 234, 20.5, 12, 0, 6

0, 20.5, 12, 234, 23, 6

23, 20.5, 234, 0, 12, 6

0, 23, 20.5, 23, 12, 20.5, 234

0, 6, 23, 12, 20.5, 234

21, 20.5, 0.75, 0, 2

21, 20.5, 0, 0.75, 2

20.5, 21, 0.75, 0, 2

20.5, 21, 0, 0.75, 2

0, 20.5, 0.75, 21, 2

20.5, 0, 21, 0.75

21214

142

12

12

22 21 0 1 2

5. Which days had high temperatures abovefreezing A Jan. 3, 4, 7 B Jan. 3, 4, 7, 8

C Jan. 3, 4, 5, 6, 7, 9 D Jan. 3, 4

E Jan. 5, 6, 9

6. Multiple Choice Choose the inequality thatwould correctly compare and A B

C D

E Both B and C

7. Multiple Choice Choose the real numberthat is greater than 0.01.A –0.1 B –0.001 C 0.1

D 0 E 0.001

Quantitative Comparison In Exercises8–10, choose the statement that is true aboutthe given numbers.A The number in column A is greater.



D The relationship cannot be determinedfrom the information given.

8.

9.

10.

11. Multiple Choice Choose the inequality thatwould correctly compare and .

A B

C D

E 21

12 # 2111

21

12 , 21112

111 5 2

112

21

11 . 21122

111 , 2

112

2111 and 2 1

12

26 > 2426 < 24

24 < 2624 5 2626.24

s08Cd?

Date 1/3 1/4 1/5 1/6 1/7 1/8 1/9

22808382108258581088C

Column A Column B

4.99 4.099

2 2

2.11 2.1

112

111

GA QCC: 3, 4

GHSGT: 3, 33

1. Multiple Choice What is the opposite of 5?

A B 25 C

D E Both B and D

2. Multiple Choice Find the solution of theequation:

A 210 B 10

C 210 and 10 D

E no solution

3. Multiple Choice Find the solution of theequation: .

A 210 B 10

C 210 and 10 D

E no solution

4. Multiple Choice Complete the statement:The absolute value of a number is always_____?_____.A increasing B decreasing

C positive D negative

E None of these

5. Multiple Choice Complete the statement:The opposite of a number is always_____?_____.A larger B smaller

C positive D negative

E None of these

6. Multiple Choice Evaluate the expression.

A 22 B 0

C 2 D 4

E 24

|2| 2 |–2|

|–10| and |10|

|x| 5 –10

|–10| and |10|

|x| 5 10.

–|–5||–5||5|


A B 2 C 0

D 1 E


A B 4 C 3

D 10 E

9. Multiple Choice If then

A B C

D E

Quantitative Comparison In Exercises10–12, choose the statement that is true about thegiven numbers.





10.

11.

12.

5$

#><

w ____ ? 26.26 ≥ w,

210

24|27| 1 3.

21

222|22|.




2.2LESSON


Ch

apte

r 2

Column A Column B

|x| 2 6|x 2 6||2x| 1 2|x| 1 2|3 1 2|2|3 1 2|

GA QCC: 1, 3

GHSGT: 3, 4, 13, 34


2.3LESSON


Ch

apter 2

1. Multiple Choice Find the sum of A 7 B C

D 1 E 12

2. Multiple Choice Find the sum of

A B 12 C 24

D E 3


A 15 B C 1

D E 11


A B 0.1 C 0.98

D 4.7 E

5. Multiple Choice Evaluate the expressionfor

A 6 B C 0

D 1 E

Multiple Choice In Exercises 6–8, use thetable, which shows the average daily high temper-ature and the actual temperature of a city indegrees celsius.

6. On which date was the actual high tempera-ture furthest from the average temperature?A Jan. 11 B Jan. 13 C Jan. 8

D Jan. 12 E Jan. 9

21

26x 5 22.5 1 x 1 s23d

24.7

20.12.3 1 s20.5d 1 s21.2d 1 s20.7d.

21

21525 1 8 1 s22d.

224

21226 1 s218d.

21273 1 s24d. 7. On which dates were the actual temperatures

5 degrees different from the average high temperatures?A Jan. 9 B Jan. 9, 13

C Jan. 9, 14 D Jan. 13, 14

E Jan. 9, 13, 14

8. On which dates were the actual temperatureclosest to the average temperature?A Jan. 8 B Jan. 10

C Jan. 13 D Jan. 8, 10

E Jan. 8, 10, 13

Quantitative Comparison In Exercises 9–12,choose the statement that is the true about thegiven quantities.

A The quantity in column A is greater.

B The quantity in column B is greater.

C The two quantities are equal.


9.

10.

11.

12.



Column A Column B

8 1 s211d 1 s29ds22d 1 s23d 1 s27d25.1 1 7.9 1 s22d8.2 1 s24.6d 1 0.4

|2x| 1 2212 1 12

3

|3 1 2|23 1 s22d

Date Avg. High Act. High

Jan. 8 2 4

Jan. 9 0 5

Jan. 10

Jan. 11

Jan. 12 1

Jan. 13 3

Jan. 14 5 0

22

28

21123

2321

GA QCC: 1, 3

GHSGT: 3, 4, 5, 13


1. Multiple Choice Find the difference of

A 6 B C 30

D E


A 5 B 15 C

D E 1


A 26 B 2 C

D 14 E

4. Multiple Choice Find the difference of

A B C

D E

5. Multiple Choice Choose the correct termsof the expression A B

C D

E

6. Multiple Choice Choose the correct termsof the expression A B

C D

E

7. Multiple Choice Choose the outputs of thefunction for these values of x:

and 1.A 9, 7, 5, 3 B 1, 2, 3, 4

C 1, 3, 5, 7 D 1, 3, 5, 3

E 5, 4, 3, 4

22, 21, 0,y 5 22x 1 5

9, x, y

9, 215x, 12y9, 15x, 12y

9, 15, 129, 215, 129 2 15x 1 12y.

25x, 6

25x, 2625, 26

262525x 2 6.

2119242

1924

232

1324

1324

212 2

23 2 s25

8d.

210

2226 2 s212d 1 8.

219

21527 2 10 1 2.

1218230

2612 2 18.

Multiple Choice For Exercises 8 and 9, use thetable, which shows the average price of regularunleaded gasoline in Cleveland, Ohio for fiveweeks.

8. What is the change in the price between week1 and week 3?

A B C

D E

9. What is the greatest positive one week change?A $.20 B $.12 C $.04

D $.06 E $.10

10. Multiple Choice There was 26.2 inches ofsnow on the ground on Monday. On Tuesday 3more inches fell. On Wednesday 4.2 inchesmelted off. On Thursday 2.6 inches melted.Friday 1.2 inches accumulated. How deep wasthe snow by Friday night?A 26.8 in B 19.2 in. C 23.6 in

D 21.2 in. E 15.2 in.

11. Multi-Step Problem Your science classis doing a fall bird count. Each day for aweek the birds sighted by class membersare counted. The results are as follows.

a. Find the change in the number of birdscounted from each day to the next.

b. What does a negative value represent?

c. What does a positive value represent?

2$.08$.09

$.08$.202$.20




2.4LESSON


Ch

apte

r 2

Mon Tues. Wed. Thurs. Fri.

52 50 61 59 48

Week 1 2 3 4 5

dollars/gallon $1.17 $1.29 $1.09 $1.13 $1.07

GA QCC: 1, 3, 4, 6

GHSGT: 3, 4, 5, 34


2.5LESSON


Ch

apter 2

1. Multiple Choice Find the product of

A 32 B C

D 8 E 18


A B C 1

D E


A B C x

D E


A B

C D

E

5. Multiple Choice The equation represents which property of multiplication?A commutative property

B associative property

C identity property

D property of zero

E property of opposites

6. Multiple Choice Evaluate the expressionfor

A B 24 C 18

D E 26218

224x 5 24.s2xds23ds21d

a ? b 5 b ? a

72 x2

23 1 2x3 1 2x

23x23x2

2s2xds6ds12 xd.

212 2 x21x

12x212xs23ds2xds4d.

26521

261661

6

s212ds26ds21

3d.

28232s28ds2ds22d.


A 12 B C 105

D 60 E 57

8. Multiple Choice A hawk dives towards theground to catch a rabbit. It descends at a rateof feet per second. What would be thevertical distance traveled in 5 seconds?A B 2.04 ft

C D 51 ft

E

9. Multiple Choice A store is marking downits winter clothing for an end of season sale.It paid $50 for a fleece jacket and is now selling it for $43. The store has 30 jackets leftto sell. If they sell all the jackets during thesale, how much will they lose?

A $7 B $37 C $210

D $1290 E $1500

10. Multi-Step Problem Your sister loans you$75 to buy a video game. You agree to workoff your loan by doing her chores for $3 anhour.

a. Write an equation that you can use todetermine the amount of money you stillowe your sister.

b. How much do you owe after 12 hours ofchores

c. How many hours of chores must you com-plete to pay for the $75 loan?

251 ft

22.04 ft

215.2 ft

210.2

257x 5 23.s3xd2 2 8x



GA QCC: 1, 3, 4

GHSGT: 4, 33

1. Multiple Choice Use the distributive proper-ty to rewrite without parentheses.A B

C D

E

2. Multiple Choice Use the distributive property to rewrite withoutparentheses.

A B

C D

E

3. Multiple Choice Choose the expression thatis equivalent to

A B

C D

E

4. Multiple Choice Choose the expression that

is equivalent to .

A B

C D

E

5. Multiple Choice Use the distributive proper-ty to rewrite without parenthe-ses.

A B

C D

E

6. Multiple Choice Use mental math to simpli-fy the expression: .A 59.6 B 59.4C 58.8 D 56.9E 54.9

6(9.9)

–20x 1 10

–20x 2 10–9x 2 6.5

–9x 1 6.5–20x 1 2.5

–4(5x 2 2.5)

216(2x 2 6)

–(x 2 6)13(x 2 1)11

32(x 2 6)1

316(2x 2 6)

x3

2 1

s2x 2 yds4d2s6x 2 2yd8sx2 2

12xyd

s2x 1 yds24ds8x2 2 4xdy8x2 2 4xy.

24y 2 93y 2 7211y24y 1 7224y 2 72

s3y 2 9ds8d

x 2 18

6x 2 36x 1 18

6x 2 186x 1 36sx 2 3d

7. Multiple Choice You are buying 6 pairs ofsocks. The price of each pair of socks is$5.95. What expression would you use tomentally calculate the total cost of the socks?

A B

C D

E

8. Multi-Step Problem Use the area modelshown below.

a. Find two expressions for the area of therectangle.

b. Are the two expressions equal?

6 2 6(0.05)

6(6 1 0.05)6(6 2 0.05)

6(6) 2 0.056(6) 1 0.05

TEST TAKING STRATEGY Skip questions that are too difficult for you.



2.6LESSON


Ch

apte

r 2

4

2.5

x

GA QCC: 1, 3, 4

GHSGT: 33


2.7LESSON


Ch

apter 2


1. Multiple Choice In the expression, what is the coefficient of the

term?

A 3 B 23

C 22 D 2

E 1

2. Multiple Choice Which expression is simplified?

A B

C D

E

3. Multiple Choice Simplify the expression.

A B

C D

E

4. Multiple Choice Simplify the expression

A B

C D

E


A B

C D

E

6. Multiple Choice Apply the distributive property, then simplify:A B

C D

E 2x 2 7

223x 1 10217x 1 10

223x 2 10217x 2 10s4x 2 2ds25d 1 3x.

2x2 1 1

5x2 2 4x 1 15x2 2 4x 1 11

6x2 2 4x 1 1x 1 1

2x2 2 5 1 3x2 2 4x 1 6.

8x 2 7y

8x 1 y12x 1 7y

12x 1 y8x 2 y10x 2 3y 1 4y 2 2x.

2x3 1 6x2

2x3 2 x2 1 8x2x3 2 x2 1 8x2

6x3 2 x2 1 3x26x3 1 2x2

x3 2 x2 1 3x2 1 5x3

w 1 5w3 1 2w

1 2 v2 2 v4z 2 4z 1 z5

y3 1 2y 2 5y32 1 x2 2 1

s23s5 2 2s2 1 1

7. Multiple Choice Apply the distributiveproperty, then simplify:

A B

C D

E

8. Multiple Choice Write and simplify anexpression modeling the area of the rectangle.

A B

C D

E

9. Multi-Step Problem You and your friendsare going on a 20 mile canoe trip. The creekis low so you will have to portage, or carry,your canoe for some of the trip. You cantravel 6 miles per hour in your canoe, and 0.7mile per hour when portaging.

a. Let p represent the miles you portage yourcanoe. Which function can you use to findthe total time spent on your canoe trip.

A

B

C

b. If you portage your canoe for 1.5 miles,how long does it take you to completeyour trip?

T 5p

0.71

20 2 p6

T 50.7p

16

20 2 p

T 5 0.7p 1 6s20 2 pd

13x2

14x25x2 1 8x

6x2 1 8x5x 1 4

3x

2x

4

3y2 1 2y 2 8

9y 1 10y9y2 2 6y

3y2 1 10y3y2 2 6y

6y2 2 ys3y 2 8d 1 2y.


GA QCC: 1, 3, 4

GHSGT: 3, 4, 33


2.8LESSON


Ch

apte

r 2


1. Multiple Choice The expression isequivalent to

A B C

D E

2. Multiple Choice Find the quotient.

A B C

D 12 E

3. Multiple Choice Find the quotient.

A B C

D E


A B

C D

E


A B C

D E


A B

C D

E 7x2 2 14

2x 2 32x 1 3

7x 2 142x2 2 3x

14x2 2 21x7

.

72

272

27

227

2569

25612

486

.

96x 2 326x 1 26x 2 8

6x 2 224x 2 2

24x 2 84

.

6122

12

122

89

89

223 4 s23

4d 5 ?

243

2121263421263

4

239 4 314 5 ?

a6

a ?16

a ?b1

b ?1a

b ?a1

____? .b 4 a 7. Multiple Choice Simplify the expression

A B C

D E

8. Multiple Choice Choose the value of xwhich cannot be contained in the domain of

A 0 B 5 C

D 3 E

9. Multiple Choice A roller coaster descendsfrom its highest point of 200 feet in 5 sec-onds. What is the velocity?

A B

C D

E

Quantitative Comparison In Exercises 10–13,choose the statement that is true about the givenquantities when and




D The relationship can not be determinedfrom the information given.

10.

11.

12.

13.

b 5 3.a 5 22

21000 ftysec

20.025 ftysec0.025 ftysec

40 ftysec240 ftysec

23

25

y 58

5 2 x.

92204.82920220

264 4165

.


not so fast that you make a careless mistakes.

Column A Column B

a2 2 34

18 2 b2

b

2ab 2 8a

ab

4ba

b 2 a2

3ab2

b 2 a

3a 2 5b5

5a2 2 ba

GA QCC: 1, 3, 5, 6

GHSGT: 3, 4, 5, 38


3.1LESSON


Ch

apter 3

TEST TAKING STRATEGY Go back and check as much of your work as you can.


1. Multiple Choice Choose the inverseoperation of subtract A Multiply by 17 B Add

C Multiply by D Add 17

E Divide by

2. Multiple Choice Choose the inverseoperation of add 8.A Multiply by 8 B Subtract

C Divide by 8 D Subtract

E Multiply by

3. Multiple Choice Solve A 4 B C 16

D E 60

4. Multiple Choice Solve A 16 B C

D 12 E 7

5. Multiple Choice Solve A B 18 C

D 2 E 1.2

6. Multiple Choice Solve A 13 B

C D

E 7

7. Multiple Choice There are 22 students in aSpanish class. This is an increase of 8 studentsfrom last year. Which equation could be usedto determine the number of students in lastyear’s Spanish class?A B

C D

E 22 1 8 5 x

x 1 8 5 2222 1 x 5 28

x 2 8 5 2222 1 x 5 8

2327

2133 5 |210| 2 x.

222188 1 x 5 210.

21221614 5 y 1 2.

216

24x 2 6 5 10.

28

28

8

217

217

217217.

8. Multiple Choice There was 2.6 inches ofrainfall today. The total precipitation for themonth is now 8.2 inches. Which equationcould be used to determine the amount ofprecipitation before today?A B

C D

E

9. Multiple Choice Find the length of the sidex of the triangle. The perimeter is 14.A 3

B 4

C 5

D 6

E 7

10. Multiple Choice A pet store marks up theprice of its puppies by $150. It sells them for$500 each. How much did the store originallypay for each puppy?A $650 B $350

C $250 D $150

E $500

Quantitative Comparison In Exercises 11–14,choose the statement below that is true about thegiven number.

A The solution in column A is greater.

B The solution in column B is greater.

C The two solutions are equal.


11.

12.

13.

14.

6

5

x

2.6 2 x 5 8.2

8.2 1 x 5 2.6x 1 2.6 5 8.2

2.6 1 8.2 5 xx 2 2.6 5 8.2

Column A Column B

22 5 y 2 s28d26 2 x 5 3

y 2 3 5 4|x| 2 2 5 6

6 5 y 1 4x 1 |23| 5 3

y 2 4 5 26x 1 2 5 6

GA QCC: 1, 3, 5, 6

GHSGT: 3, 4, 23, 24, 38


3.2LESSON


Ch

apte

r 3

1. Multiple Choice Choose the inverseoperation of multiply by A Multiply by 6 B Divide by 6

C Divide by D Add 6

E Add

2. Multiple Choice Which one of these stepscan by used to solve the equation

I. Multiply by II. Multiply by

III. Divide by IV. Divide by A II only B III only

C I and III D II and III

E II and IV

3. Multiple Choice Solve

A B 6 C

D 54 E 21


A B C

D E

5. Multiple Choice If

A B 40 C 3.6

D E 12.3

6. Multiple Choice You’re installing a newfence around an inground swimming pool.The pool is a rectangle measuring 12 feet by20 feet. The fence must be the same distanceaway from the pool on all sides. If you have144 feet of fence, what is the distance fromany side of the pool to the fence. (Hint: Drawa diagram.)A 20 ft B 10 ft C 5 ft

D 40 ft E 15 ft

23.6

240x 5 ? .

20.3x 5 12, then

1 215

512

251222

52225

213 y 5

45.

25426

18 5x

23.

32

23

32

23

23x 5 8?

26

26

26.7. Multiple Choice The two triangles below

are similar triangles. What is the length of

A 3 B 4 C 15

D 10 E 5

8. Multiple Choice If then

represents which property of equality?

A Addition property of equality

B Subtraction property of equality

C Multiplication property of equality

D Division property of equality

E Reciprical property of equality

Quantitative Comparison In Exercises 9–11,choose the statement that is the true about thegiven number.

A The soution in column A is greater.




9.

10.

11.

ac

5bc

a 5 b and c Þ 0,

18

A B

C

15

6

D E

F

x

DE?

TEST TAKING STRATEGY Before you give up on a question, try to eliminate some of

your choices as you can make an educated guess.


Column A Column B

256 5 2

13 y1

5x 5 314

23y 5 823 5 2

14x

12y 5 2428x 5 24

GA QCC: 1, 3, 5, 6

GHSGT: 4, 35, 38


3.3LESSON


Ch

apter 3

1. Multiple Choice Which one of these stepsshould you use first to solve I. Subtract 2 II. Add 2

III. Divide by 5 IV. Multiply by 5

A I B II

C III D II or III

E I or III

2. Multiple Choice Solve A B C

D 18 E

3. Multiple Choice Solve A 3 B C 1

D E


A B C

D E

5. Multiple Choice Solve the equation

A B C

D E

6. Multiple Choice Solve A B C

D E


A B C 1

D 7 E 21

271729

32x 2 4s7x 1 3d 5 16.

2201023

216262102

23sx 1 2d 5 12.

2 2113

1 61123211

8s2x 2 1d 2 5x 5 25.

2 2113

1 611232

117

24x 2 6 2 3x 5 5.

1321

236x 2 5 2 3x 5 4.

243

218232827 5

23x 1 5.

5x 2 2 5 15?8. Multiple Choice You live in the United

States close to the Canadian border. ACanadian weatherman reports yourtemperature as being Use the formula

to find the temperature indegrees Fahrenheit.A B C

D E

9. Multiple Choice You billed your neighbor$52 for work you did around his house.Materials cost you $16, and you charged $4 anhour. How many hours did you work?A 7 hours B 8 hours

C 9 hours D 17 hours

E 32 hours


A The soution in column A is greater.




10.

11.

12.

13.

688F1028F

–4°F778F468F

F 595C 1 32

258C.

TEST TAKING STRATEGY Think positively during a test. This will help keep up your

confidence and enable you to focus on each question.


Column A Column B

x 5 2y 1 3y 5 2x 1 3

12y 1 7 2 5y 5 21414s2 2 xd 5 35

25sy 2 4d 5 63x 2 2sx 1 4d 5 8

23y 1 6 5 182x 2 7 5 215

GA QCC: 1, 3, 5, 6

GHSGT: 4, 38


1. Multiple Choice Solve A B 2 C

D 14 E


A B C

D E 9


A B C

D E 14

4. Multiple Choice Solve A 3 B 6 C

D E No solution

5. Multiple Choice Which equations are equivalent?

I

II III

A I and II B I and III

C II and III D All

E None of these

6. Multiple Choice For which equation isa solution?

A

B

C

D

E 2m 1 1 5 –3m 2 30

2m 5 –3m 2 30

2m 5 3m 2 17

m 2 5 5 3m 2 19

m 2 5 5 3m 2 18

m 5 7

–11 5 7a5a 5 11 1 12a2a 2 6 5 5 1 9a

26

23x 1 3 5 x 2 6.

119

28911

889

14s16x 2 8d 1 6 5 12 2 5x.

234

3421

42214

5x 2 12 5 23x 1 6.

21

214223x 2 6 5 4x 1 8. 7. Multiple Choice A local health club has a

large swimming pool. Non-members mustpay a $6 per day fee to use the pool.Members of the club pay $1, but must pay ayearly membership fee of $250. How manydays must you use the pool to justify joiningthe club?A 36 days B 38 days

C 50 days D 40 days

E 45 days

8. Multiple Choice Your club decides to sellboxes of stationery to raise money. Each boxcosts you $2.50 and there is a one timedelivery fee of $30. You plan to sell thestationery for $4.50 per box. Which equationshould you use to determine how many boxesyou must sell to cover your costs?A

B

C

D

E


A The solution in column A is greater.




9.

10.

11.

12.

30 2 4.50x 5 2.50x

2.50x 1 30 5 4.50x

30 2 2.50x 5 4.50x

2.50x 2 30 5 4.50x

4.50x 1 30 5 2.50x

3.4LESSON

TEST TAKING STRATEGY Be aware of how much time you have left, but keep

focused on your work.



Ch

apte

r 3

Column A Column B

3x 2 7 2 5x 5 5 1 x13s3x 2 6d 5 2x

4x 2 6 5 7x 2 126x 2 1 5 5x 1 1

12sx 2 4d 5 4x16 2 2x 5 2x

3x 5 7x 2 64x 1 8 5 2s2x 1 4d

GA QCC: 1, 3, 5, 6

GHSGT: 4, 38


3.5LESSON


Ch

apter 3

1. Multiple Choice Which inverse operationcan be used to solve the equation ?

A Add 5 to each side.

B Subtract 5 from each side.

C Multiply each side by 5.

D Divide each side by 5.

E none of the above

2. Multiple Choice Which inverse operationcan be used to solve the equation

A Add 8 to each side.

B Subtract 8 from each side.

C Multiply each side by 8.

D Divide each side by 8.

E None of these


A 3 B

C D

E


A B

C 1 D

E32

87

78

34

12(6y 2 3) 5 2 2 y.

74

14

32

72

x 2 4 5 3(1 2 x).

4 5 y 2 8?

5x 5 135. Multiple Choice Solve the equation

A B C

D E No solution


A B 3 C

D E 13

7. Multi-Step Problem A swimming poolcharges nonmembers $10 per day to use thepool. Members pay a yearly fee of $300 and$5 per day to use the pool.

a. Write an equation to find out how manytimes you must use the pool to justifybecoming a member.

b. Solve the equation.

213

1323

210 1 2x 1 3s5 2 xd 512s4x 2 8d.

23

13

31341

32413

4x 2 3sx 1 2d 5 5s4 2 xd.



GA QCC: 1, 2, 3, 5, 6

GHSGT: 3, 4, 5, 38

1. Multiple Choice Evaluate 4.36(7.32).Round to the nearest tenth.A 31.91 B 31.92

C 31.9 D 32.0

E 31.0

2. Multiple Choice Solve Round to the nearest hundredth.A 5.12 B 5.118

C 7.36 D 5.11

E 7.35

3. Multiple Choice Solve Round to the nearest tenth.A 2.6 B 2.7

C 1.16 D 1.2

E

4. Multiple Choice Solve the equationRound to the nearest

hundredth.A 2.08 B

C D

E

5. Multiple Choice Solve the equationRound to the

nearest thousandth.A 1.070 B

C D

E 7.920

6. Multiple Choice Solve the equationRound to

the nearest tenth.A 2.3 B

C 1.84 D 1.8

E 2.34

22.3

0.2s23.1x 2 2d 5 21.1s2x 2 3d.

20.29120.292

2.160

23s4.2 2 3.5xd 5 8x 2 7.2.

22.09

22.0821.56

23.42

14x 2 8 5 233 1 2x.

22.6

236 2 19x 5 14.

17x 2 19 5 106.

7. Multiple Choice Solve the equationRound to

the nearest tenth.A B

C D

E

8. Multiple Choice You are shopping for abirthday present. You have $20.00 to spendand your state’s sales tax is 6%. Whichalgebraic model could be used to determineyour price limit for the present?

A B

C D

E None of these

9. Multiple Choice Determine the maximumamount of money you can spend for thepresent in Exercise 9.A $12.00 B $18.87

C $18.86 D $18.80

E $21.20

10. Multi-Step Problem Your cellular phonecompany charges $29.95 per month and givesyou 30 minutes of free calls per month.Additional minutes cost $.32 per minute.Your bill last month came to $46.82. Let xrepresent the number of minutes you talkedlast month.

a. Write an equation that models thesituation.

b. Approximately how many minutes did youuse the phone? Round to the nearest tenth.

c. How many minutes did you have to payextra money for?

x 5 20s1.06dx 5 20s0.06d

1.06x 5 200.06x 5 20

20.2

0.1214.15

20.129.8

21.6s2.3xd 5 5.7s23.6x 2 0.3d.

TEST TAKING STRATEGY Read all of the choices before deciding which is the

correct one.



3.6LESSON


Ch

apte

r 3

GA QCC: 1, 6

GHSGT: 5, 35


3.7LESSON


Ch

apter 3


1. Multiple Choice Using the formula for thearea of a rectangular prism, solvefor w.A B

C D

E

2. Multiple Choice Using the formula forinterest, solve for r.

A B

C D

E

3. Multiple Choice Using the formula for thevolume of a circular cylinder,solve for h.

A B

C D

E

4. Multiple Choice Find the height of atriangle if the base measures 6 inches and thearea is 15 square inches. Use the formula forthe area of a triangle,A 3 in. B 4 in.

C 5 in. D 6 in.

E 7 in.

5. Multiple Choice Rewrite the equationso that y is a function of x.

A B

C D

E 2y 5 10 2 3x

x 5 22y 1 7y 5 232

x 1 5

x 5 22y3

1103

y 5 23x 1 5

3x 1 2y 5 10

A 512bh.

h 5 V 2 pr 2

h 5 V 2 p 2 r 2h 5 Vpr 2

h 5pr2

Vh 5

Vpr 2

V 5 pr2h,

r 5 IPt

r 5 I 2 P 2 tr 5 I 2 Pt

r 5I

Ptr 5

PtI

I 5 Prt,

w 5Vlh

w 5 V 2 lhw 5lhV

w 5 V 2 l 2 hw 5 Vlh

V 5 lwh,6. Multiple Choice How long will it take

$1000 invested in a savings account to doubleif the interest rate is 8%? Use the formula

A 5 yrs B 11.5 yrs

C 6.25 yrs D 10 yrs

E 12.5 yrs

7. Multiple Choice Rewrite the equationso that y is a

function of x.

A B

C D

E

Quantitative Comparison In Exercises 8–11,choose the statement that is true about the givennumber.




D The relationship can not be determinedfrom the information given.

8.

9.

10.

11.

x 545 y 2 4

y 552x 1 10x 5

25 y 2 4

y 512x 1 10y 5 2x 1 10

3y 2 2sx 1 1d 5 y 1 3sx 1 6d

I 5 Prt.

TEST TAKING STRATEGY Learn as much as you can about a test ahead of time, such

as the types of questions and the topics that the test will cover.

Column A Column BThe value of r The value of rin the formula in the formula

when when

The value of r in The value of r inthe formula the formula

when when

The value of y in The value of y inthe function the function

when when

The value of y in The value of y inthe function the equation

whenwhen x 5 2.x 5 9.2y 2 x 5 3y 2 12y 5

23x 1 12

x 5 16.x 5 5.y 5

12x 2 8y 5 2x 2 10

C 5 157.A 5 78.5.C 5 2prA 5 pr 2

d 5 36 and t 5 8.d 5 25 and t 5 6.d 5 rtd 5 rt

GA QCC: 1, 28

GHSGT: 4, 5, 39

1. Multiple Choice Which would be thecorrect unit rate for $3 for 12 cards?A $3 per card B 3 cards per dollar

C $.25 per dozen D $.25 per card

E None of these

2. Multiple Choice Which model would youuse to change 12 minutes to seconds?

A B

C D

E None of these

3. Multiple Choice Find the average speed of aperson boating 126 miles in 5 hours.A 25.2 miles B 25.2 mi/h

C 630 mi/h D 3.9 mi/h

E 3.9 hours per mile

4. Multiple Choice Convert 250 pesos todollars. The exchange rate is 9.99 pesos perUnited States dollar.A $2497.50 B $259.99

C $25.03 D $240.01

E $30.02

5. Multiple Choice Which model would youuse to convert 35 miles per hour to feet persecond?

A 35 mi/h

B 35 mi/h

C 35 mi/h

D 35 mi/h

E 35 mi/h 35280 ft1 mile

31 h

60 min

35280 ft1 mile

31 h

3600 sec

35280 ft1 mile

31 h

360 sec

31 mile5280 ft

31 h

60 min

35280 ft1 mile

360 min

1 h

12 min ?1 sec

60 min12 min ?

60 min1 sec

12 min ?60 sec1 min

12 min ?1 min60 sec


your choices so you can make an educated guess.



3.8LESSON


Ch

apte

r 3

6. Multiple Choice Write the ratio 128 to 24in simplest form.

A 5 B

C D

E

7. Multiple Choice A kennel has 15 cats and24 dogs. What is the ratio of dogs to cats?

A B

C D

E

8. Multiple Choice What does the unit

conversion factor equal?

A 12 B

C 1 D cannot be determined

E None of these

9. Multi-Step Problem You’re a stocker at agrocery store. The store received a shipmentof 500 heads of lettuce. You sample 50 headsof lettuce and found that 4 heads were brown.

a. Write a ratio that would estimate thenumber of heads of lettuce in the shipmentthat were brown.

b. Use the ratio from above to estimate thenumber of brown heads in the shipment.

c. The store has a policy of accepting anyshipment of produce if damaged produceis 7% or less of the shipment. Should youreject or accept this shipment?

112

12 inches1 foot

32

53

63

2415

85

153

163

326

6412

GA QCC: 1, 28

GHSGT: 4, 5, 13, 39


3.9LESSON


Ch

apter 3

1. Multiple Choice What is 12% of 136?

A 11.33 B 16.32 C 15.21

D 14.7 E 27.1

2. Multiple Choice What is 420% of 48?

A 87.5 B 20.16 C 100

D 201.6 E 875

3. Multiple Choice 13 is what percent of 57?

A about 22.8% B about 7.41%

C about 4.38% D about 438.5%

E about 741%

4. Multiple Choice 75 is what percent of 20?

A about 3.75% B about 26.7%

C about 15% D about 267%

E about 375%

5. Multiple Choice 31.5 is 15% of what number?A 200 B 210 C 230

D 473 E 476

6. Multiple Choice 90 is 120% of what number?A 108 B 133 C 75

D 62 E 85

7. Multiple Choice A store has a 50% off salein September on select items. In October, itmarks the sale prices back up by 50%. Whatwould a sweater that originally sold for $100now be selling for?A $100 B $50 C $150

D $25 E $75

Multiple Choice In Exercises 8 and 9, refer tothe graph. In a survey, people were asked if theythink the income tax system is equitable.

8. In the survey, 91 people strongly agreed thatthe income tax system is equitable. Howmany people were surveyed?A 250 B 3185 C 319

D 455 E 260

9. If you asked 550 people, how many wouldyou expect to answer “disagree” or “stronglydisagree”?A 165 B 55 C 220

D 250 E 303

Quantitative Comparison In Exercises 10–13,solve the proportion. Then choose the statementbelow that is true about the given number.

A The value in column A is greater.

B The value in column B is greater.

C The two values are equal.


10.

11.

12.

13.

20%agree

30%stronglydisagree

10%disagree

5%no opinion

35%strongly

agree

TEST TAKING STRATEGY Avoid spending too much time on one question. Skip

questions that are too difficult for you and spend no more than a few minutes on

each question.


Column A Column B

57% of 2005 x 110% of 605 x

38% of x 5 540 19% of x 5 270

17100

5x

2823% of x 5 1.2

x% of 72 5 18 20% of 125 5 x

GA QCC: 1, 15

GHSGT: 13, 25


TEST TAKING STRATEGY Read all of the answer choices before deciding which is the

correct one.


4.1LESSON


Ch

apte

r 4

Multiple Choice For Exercises 1–5, refer to thecoordinate plane below

1. Which quadrant is point B in?A Quadrant I B Quadrant II

C Quadrant III D Quadrant IV

E Cannot be determined from the giveninformation.

2. Which ordered pair corresponds to the pointlabeled A?

A B

C D

E

3. Which point corresponds to the ordered pair

A G B B C H

D D E F

4. Which quadrant would the ordered pairbe in?

A I B II C III

D IV E II or III

5. Which points have positive y-coordinates?A A and F B A and B

C B and H D B and F

E H and F

s23, 22d

s2, 21d?

s2, 21d

s21, 22ds21, 2d

s2, 1ds1, 2d

1 32123

23

21

1

3

y

xF

GAE

I

H

B

C

D

6. Multiple Choice In the scatter plot below,what conclusion can you come to from thedata plotted?

A Points scored decreases as hours of practice increases.

B Points scored increases as hours of practice decreases.

C Points scored increases as hours of practice increases.

D Points scored is not related to hours of practice increases.

E None of these

7. Multi-Step Problem The number ofcustomers (in thousands) at a winter resortare shown in the table.

a. Construct a scatter plot of the data

b. Describe the pattern of the number ofskiers

c. Predict the number of snowboarders for2001.

y

x001

2

3

4

5

6

7

8

1 2 3 4 5 6 7 8

Hours of practice (weekly)P

oin

ts s

co

red

Year 1992 1993 1994

Skiers 8.2 8.6 9.1

Snowboarders 2.1 3 4.2

Year 1995 1996 1997

Skiers 9.7 10.3 10.8

Snowboarders 4.9 5.9 6.9

GA QCC: 1, 3, 18

GHSGT: 34, 38


1. Multiple Choice Choose the ordered pairthat is a solution of

A B C

D E


A B

C D

E

3. Multiple Choice Choose the group ofordered pairs that are solutions of theequation

A B

C D

E

4. Multiple Choice Choose the group ofordered pairs that are solutions of the equa-tion

A

B

C

D

E

5. Multiple Choice Which ordered pair is not asolution of

A B

C D

E

6. Multiple Choice Which point does not lieon the graph of

A B C

D E s10, 1ds4, 2d

s1, 63ds0, 83ds2, 73d3y 1

12 x 5 8?

s22, 1d

s22, 4ds2, 22d

s22, 22ds22, 0dx 5 22?

s8, 8d, s2, 212d

s4, 28d, s8, 8d

s1, 216d, s4, 28d

s0, 214d, s1, 212d

s0, 216d, s2, 212dy 5 8s1

4 x 2 2d.

s2, 23d, s4, 5d

s0, 4d, s2, 2ds1, 1d, s3, 25d

s1, 2d, s3, 4ds1, 0d, s2, 22dy 5 23x 1 4.

s23, 21d

s3, 21ds23, 0d

s21, 23ds1, 3dy 5 23.

s3, 2ds6, 2d

s4, 3ds0, 6ds5, 1d2x 2 3y 5 6.

7. Multiple Choice What is the equation ofthe line shown?

A B

C D

E

8. Multiple Choice What is the equation ofthe line shown?

A B

C D

E

9. Multi-Step Problem Your parents limit yourphone use to 18 hours every week. You needto split that between hours spent on the phonewith your friends and hours spent using theinternet. Your parents count one hour on lineas hour of phone time since some of yourtime is spent doing homework. An algebraicmodel is , where x is hours spenton the phone and y is the hours spent on line.a. Solve the equation for y.

b. Use the equation from part (a) to make atable of values for and

c. Plot the points and draw the line.

x 5 15.x 5 10,x 5 5,

x 112 y 5 18

12

2x 2 3y 5 6

22x 2 3y 5 622x 1 3y 5 6

2x 1 3y 5 262x 1 3y 5 6

12121

3

1

x

y

–x 2 2y 5 –4

–x 2 2y 5 4–x 1 2y 5 4

x 1 2y 5 4x 2 2y 5 4

4

22

2 x

y




4.2LESSON


Ch

apter 4


1. Multiple Choice Which point does not lieon the graph ?

A (24, 0) B (24, 1)

C (4, 24) D (24, 24)

E (24, 2)

2. Multiple Choice The ordered pair (21, 4) isa solution of ________ .

A B

C D

E

3. Multiple Choice Which of the followingordered pairs is a solution of ?A (1, 3) B (2, 0)

C (0, 1) D (1, 0)

E (1, 2)

4. Multiple Choice Which of the followingordered pairs is not solution of ?

A (21. 21) B (0. 21)

C D (21, 1)

E (2, 21)

5. Multiple Choice The ordered pair (–2, –1)is a solution of ________ .

A B

C D

E

6. Multiple Choice Which equation is equiva-lent to ?

A B

C D

E y 5 x 1 2

y 5 2 ? 0 1 x0 ? y 5 1 ? x 1 2

0 ? y 5 2y 5 0 ? x 1 2

y 5 2

y 5 –1

y 5 1x 5 0

x 5 1x 5 –1

1212 , –12

y 5 –1

x 5 2

y 5 4

y 5 –1y 5 1

x 5 1x 5 4

x 5 –47. Multiple Choice What is the equation of the

line shown?

A B

C D

E

Quantitative Comparison In Exercises 8-10,choose the statement that is true about the givennumbers.





8.

9.

10.

y 5 0

y 5 2y 5 22

x 5 2x 5 22

123 2121

23

3

1

x

y



4.3LESSON


Ch

apte

r 4

GA QCC: 3, 18

GHSGT: 34

Column A Column B

y-intercept of x-intercept of

x-intercept of y-intercept of

x-intercept of y-intercept of y 5 1x 5 –1

y 5 11x 5 1

y 5 –3x 5 –5

GA QCC: 1, 3, 16

GHSGT: 38, 43


4.4LESSON


Ch

apter 4

1. Multiple Choice What is the x-intercept ofthe line A 0 B 2 C 5

D E

2. Multiple Choice What is the y-intercept ofthe line A 0 B 2 C 5

D E

3. Multiple Choice What is the x-intercept ofthe line

A 0 B 12 C

D 10 E 40

4. Multiple Choice What is the y-intercept ofthe line shown?

A 3 B C 2

D E 0

5. Multiple Choice What is the x-intercept ofthe line shown in exercise 4?A 3 B C 2

D E 022

23

22

23

12121

3

1

x

y

1003

12 x 1

35 y 5 20?

2522

5x 2 2y 5 10?

2522

5x 2 2y 5 10?6. Multiple Choice A hotdog stand sells foot-

long hotdogs for $2.50 and 6 inch hotdogs for$1.50. If the stand makes $54 one day, choosethe equation which models the situation.A

B

C

D

E B and D






7.

8.

9.

10.

y 5 21.67x 1 36

y 5 21.67x 2 36

2.50x 1 1.50y 5 54

2.50x 2 1.50y 5 54



answer.


Column A Column B

The x-intercept of3y 1 6x 5 12

The y-intercept of2y 1 7x 5 14

The x-intercept ofy 5 6

The y-intercept ofx 5 3.

0The y-intercept ofx 1

12 y 5 4

The x-intercept of12 x 2 2y 5 8

The y-intercept of12 x 2 2y 5 8

GA QCC: 1, 3, 16

GHSGT: 5, 34, 38


4.5LESSON


Ch

apte

r 4

1. Multiple Choice Which is the formula tofind the slope of a line?

A B

C D

E

2. Multiple Choice Find the slope of the linepassing through the points and

A 3 B 1 C

D E


A B C 4

D E

4. Multiple Choice Find the slope of the linepassing through the points and A undefined B 0 C 8

D E


A undefined B 0 C

D E 2

6. Multiple Choice Find the value of y so thatthe line passing through and has aslope of 5.

A B 9 C

D E 121

275

529

s1, yds2, 6d

12

1114

s7, 9d.s7, 22d

58

85

s22, 4d.s3, 4d

21224

2214

s2, 9d.s26, 7d

4321

34

s9, 4d.s5, 8d

m 5y2 2 x2

y1 2 x1

m 5x2 1 x1

y2 2 y1m 5

y2 2 y1

x2 2 x1

m 5y2 1 y1

x2 1 x1m 5

x2 2 x1

y2 2 y1

7. Multiple Choice Find the value of x so thatthe line passing through and hasa slope of A 2 B C 8

D E

8. Multiple Choice In 1989, a movie ticketcost $3.00. In 1999, a movie tickets cost$5.50. Find the average rate of change ofmovie tickets price in dollars per year.A $.20 B $.25 C $.30

D $.85 E $4.00






9.

10.

11.

12.

21728

2222.

sx, 9ds10, 5d



Column A Column B

The slope of the linethrough ands10, 8d

s6, 6dThe slope of the linethrough ands17, 14d

s5, 8d


s3, 6d 0


s1, 3dThe slope of theline through and s18, 0d

s12, 6d


s5, ydThe slope of theline through and sx, 14d

s4, 8d

GA QCC: 1, 3, 6, 16

GHSGT: 36


4.6LESSON


Ch

apter 4

1. Multiple Choice In a direct variation model,if the constant of variation in the equation is3, then the slope is A 3 B

C D

E Cannot be determined from the giveninformation.

2. Multiple Choice Choose the constant ofvariation of the direct variation model

A 5 B C

D x E y

3. Multiple Choice Choose the constant ofvariation of the direct variation model

A x B C

D E y

4. Multiple Choice The variables x and y varydirectly. Which equation relates x and y when

and A B

C D

E

5. Multiple Choice The variables x and y varydirectly. Which equation relates x and y when

and A B

C D

E y 512 x

y 5 12xx 5 12y

y 5 3xx 5 3yy 5 6?x 5

12

y 5 3x

y 2 12xx 5 3y

y 2 4xx 5 4yy 5 12?x 5 4

212

1222

212 x 5 y.

21525

y 5 25x.

213

13

23_____? .

6. Multiple Choice Choose the ratio form ofthe direct variation model

A B

C D

E

7. Multiple Choice One year in a dog’s life isequivalent to seven years in a human’s life.Choose the model that relates a dog’s life d toa human’s life h.

A B

C D

E






8.

9.

10.

h 5 217 d

h 517 dd 5

17 h

d 5 7hd 5 27h

k 5 xy

k 5x

2yk 5

yx

k 52xy

k 5xy

y 5 kx.



Column A Column B

The constant of vari-ation in y 5 23x

The constant of variation in 5x 5 y

The value of y whenand y 5 2

19 xx 5 3

The value of xwhen andy 5 2x

y 5 22

The slope of the line2y 1 x 5 0

The constant ofvariation iny 5 2

12 x

GA QCC: 1, 16, 18

GHSGT: 43


4.7LESSON


Ch

apte

r 4

1. Multiple Choice What is the slope of a lin-ear equation written in slope-intercept form,

A y B x C m

D b E mx

2. Multiple Choice What is the slope of thegraph of A 1 B C 2

D 3 E

3. Multiple Choice What is the slope of thegraph of

A 4 B C

D E 5

4. Multiple Choice What is the y-intercept ofthe graph of A 1 B 5 C 2

D E

5. Multiple Choice What is the y-intercept ofthe graph of

A 18 B C 6

D E

6. Multiple Choice Choose the set of equa-tions which are parallel lines.A

B

C

D

E y 5 6x 1 3, y 516 x 1 3

y 5 212 x 1 2, y 5 2

12 x

y 5 25x 1 1, y 5 5x 1 3

y 5 3x 1 6, y 5 2x 1 6

x 5 2, y 5 6

22326

23

3y 2 2x 5 18?

2522

y 5 5x 2 2?

43

24324

4x 1 3y 5 15?

22

23y 5 23x 1 2?

y 5 mx 1 b?

7. Multiple Choice What is the equation, inslope-intercept form, of the line shown.

A B

C D

E

8. Multiple Choice You are filling a pot withwater. The water level in the pot is rising at arate of 2 inches per minute. The pot is already3 inches full. The equation models the depth of the water after x minutes.What is the depth of the water after 3 minutes?

A 3 B 7 C 6

D 8 E 9






9.

10.

11.

y 5 2x 1 3

y 525 x 2 2

25x 2 2y 5 10y 5 225 x 2 2

y 5 225 x 1 222x 2 5y 5 10

1212521

23

1

x

y




Column A Column B

The slope ofy 5 23x 1 6


The slope ofy 5 25x

The slope of2y 5 210x 1 15

The y-intercept of

y 512 x 1 3

The y-intercept ofy 5 13x

GA QCC: 1, 3, 16, 18

GHSGT: 13, 34


1. Multiple Choice Which of the relationsbelow is not a function.A

B

C

D

E

2. Multiple Choice Evaluate the functionwhen

A 9 B 6 C

D E

3. Multiple Choice Evaluate the functionfor

A 5 B C

D 11 E

4. Multiple Choice Find the slope of the graphof the linear function f if and

A B C

D 2 E

5. Multiple Choice Find the slope of the graphof the linear function g if and

A 0 B 9 C 4

D E142

14

gs2d 5 5.gs22d 5 4

252

22122

25

fs22d 5 24.fs3d 5 6

211

22525x 5 23.gsxd 5 2x2 2 7

28326

29x 5 2.fsxd 5

32 x 1 6

6. Multiple Choice The line below matcheswhich function?

A B

C D

E

7. Multiple Choice If it takes 1.3 hours for astick to float of a mile downstream, choosethe correct linear function expressing thedistance traveled as a function of time.

A B

C D

E


A The number in column A is greater.B The number in column B is greater.C The two numbers are equal.D The relationship cannot be determined

from the information given.

8.

9.

10.

fstd 5 1.73t

fstd 5 0.75tfstd 5 0.58t

fstd 5 1.3tfstd 51.30.75 t

34

fsxd 523 x 2 3

fsxd 523 x 1 3fsxd 5

23 x 1 2

fsxd 523 x 2 2fsxd 5 2

23 x 2 2

1 3 521

1

3

21

23

x

y




4.8LESSON


Ch

apter 4

Input 1 2 3 4Output 2 4 6 8





Column A Column B

when x 5 3fsxd 5 25x 1 2

when x 5 23fsxd 5 25x 1 2

whenx 5 4gsxd 5

12 x 2 3

when x 5 9gsxd 5 2

23 x 1 3

whenx 5 22fsxd 5 x2 1 3

when x 5 22fsxd 5 2x2 1 3

GA QCC: 16, 18, 19

GHSGT: 43





5.1LESSON


Ch

apte

r 5

1. Multiple Choice An equation of the linewhose slope is 3 and whose y-intercept is 8 is

A B

C D

E

2. Multiple Choice An equation of the linewhose slope is and whose y-intercept is 9is A B

C D

E

3. Multiple Choice An equation of the linewhose slope is and whose y-intercept is is

A B

C D

E

4. Multiple Choice What is an equation of theline shown in the graph?

A B

C D

E y 5 2x 112

y 5 212 x 1 1y 5

12 x 2 1

y 512 x 1 1y 5 2x 2 1

323 21

1

3

23

x

y

y 512 x 1 2

y 5 22x 112y 5 22x 2

12

y 5 212 x 2 2y 5

12 x 2 2

____? ?221

2

y 5 26x 1 9

y 5 6x 2 9y 5 26x 2 9

y 5 9x 2 6y 5 29x 2 6____? ?

26

y 5 3x 2 8

y 5 23x 2 8y 5 23x 1 8

y 5 3x 1 8y 5 8x 1 3____? ?

5. Multiple Choice Write a set of equationsfor parallel lines shown in the graph.

A

B

C

D

E


A The number is column A is greater.




6.

7.

8.

9.

y 5 3x; y 5 3x 2 1

y 513 x; y 5

13 x 2 1

y 513 x; y 5

13 x 1 2

y 5 3x; y 5 3x 1 2

y 5 3x; y 5 3x 2 2

1 323

3

x

y

Column A Column B

The y-intercept ofy 5 3x 2 5


The slope of

y 5 212 x 2

15

The y-intercept of

y 5 212 x 2

15

The x-intercept ofy 5 5x 1 6

The y-intercept ofy 5

25 x 2

65

The y-intercept ofy 5 3x

The x-intercept ofy 5 2x 1 1

GA QCC: 16, 18, 19

GHSGT: 43


5.2LESSON


Ch

apter 5

1. Multiple Choice What is the value of inthe equation A 6 B C 2

D E

2. Multiple Choice Which equation in point-slope form passes through the point andhas a slope of

A

B

C

D

E

3. Multiple Choice Which equation in point-slope form passes through the point and has slope of

A B

C D

E

4. Multiple Choice Which equation in point-slope form passes through the points and

A

B

C

D

E

5. Multiple Choice Which equation in point-slope form passes through the points and

A

B

C

D

E y 1 1 5 275sx 2 3d

y 2 1 5 275 sx 1 3d

y 1 2 5 275 sx 2 6d

y 1 1 5 257 sx 2 3d

y 1 1 575 sx 2 3d

s3, 21d?s22, 6d

y 2 8 5 213 sx 1 2d

y 2 5 5 213 sx 2 3d

y 2 5 5 3sx 2 3dy 2 5 5 23sx 2 3dy 2 8 5 23sx 2 3d

s2, 8d?s3, 5d

y 1 1 523 sx 2 6d

y 2 6 523 sx 2 1dy 1 6 5

23 sx 2 1d

y 2 1 523 sx 1 6dy 2 6 5

23 sx 1 1d

23?

s21, 6d

y 5 213 x 1

73

y 1 2 5 213 sx 1 3d

y 2 2 5 213 sx 2 3d

y 2 3 5 213 sx 2 2d

y 1 3 5 213 sx 2 2d

213?

s2, 3d

1222

26y 2 6 5

12 sx 1 2d?

x1 6. Multiple Choice Which is the equation forthe line shown in the graph?

A

B

C

D

E


A The number is column A is greater.




7.

8.

9.

2y 2 1 5 214 sx 1 3d

2y 2 2 5 4sx 2 1dy 2 1 5

14 sx 1 3d

y 2 2 5 24sx 2 1dy 1 3 5 2

14 sx 2 1d

123 21

1

3

21x

y

(1, 2)(23, 1)

TEST TAKING STRATEGY As soon as the testing begins, start working. Keep moving

and stay focused on the test.


Column A Column B

The value of m in

y 1 3 512 sx 2 2d

The value of in

y 2 6 512 sx 2 2d

x1

The value of iny 1 3 5 22sx 2 3d

y1 The value of m in theline passing through

and s2, 3ds1, 8dThe value of m in theline passing through

ands2, 23ds21, 25d

The value of iny 2 6 5 7sx 2 8d

y1


1. Multiple Choice What is an equation of theline that passes through points and

A B

C D

E

2. Multiple Choice What is an equation of theline that passes through the points and A B

C D

E

3. Multiple Choice What is the slope of theline parallel to the line

A 2 B C

D E

4. Multiple Choice Write an equation of theline shown in the graph.

A B

C D

E

5. Multiple Choice Which set of lines areparallel?A

B

C

D

E y 5 3; y 5 x 1 1

y 5 26x 1 1; y 5 216 x 2 1

y 523 x 1

12; y 5

23 x 2 2

y 513 x; y 5 23x 1 2

y 5 2x 1 3; y 5 22x 1 6

y 534 x 1

12

y 543 x 2

12y 5

34 x 2

12

y 543 x 1

12y 5 2

34 x 1

12

3123

1

3

23

21x

y

(2, 2)

(22, 21)

16

12

22212

y 512 x 2 6?

y 5 212 x 2 11

y 512 x 1 11y 5 22x 1 11

y 5 2x 2 11y 5 2x 1 11s2, 15d?

s23, 5d

y 5 213 x 1 3

y 5 213 x 1

113y 5 23x 1

113

y 5 213 x 2

113y 5 3x 2

113

s21, 4d?s2, 3d

6. Multiple Choice Which lines are parallel?

Line d passes through and

Line e passes through and

Line f passes through and

A Lines d and e B Lines d and f

C Lines e and f

D All three are parallel

E None of these

7. Multiple Choice Which is an equation of aline parallel to the line

A B

C D

E

8. Quantitative Comparison In Exercises8–10, use the lines that form part of the sidesof the triangle shown below and choose thestatement that is true about the given number.





8.

9.

10.

323 21

1

23

x

y

(23, 22)

(21, 3)(4, 1)

A

B

C

y 5 232 x 2 2

y 5 223 x 2

12y 5

32 x 2

12

y 523 x 1 3y 5 2

23 x 1 6

y 5 232 x 1

12?

s3, –2d.s6, –4ds5, 8d.s23, 22d

s21, 6d.s2, 4d



5.3LESSON


Ch

apte

r 5

GA QCC: 16, 19

GHSGT: 43

Column A Column B

The slope of linecontaining AC

The slope of linecontaining BC

The slope of linecontaining AB

The slope of linecontaining BC

The y-intercept ofline containing AB

The y-intercept ofline containing BC

GA QCC: 16, 18, 19

GHSGT: 43


5.4LESSON


Ch

apter 5

1. Multiple Choice Write instandard form with integer coefficients.A B

C D

E

2. Multiple Choice What is the standard formof an equation of the line that passes throughthe point and has a slope of A B

C D

E

3. Multiple Choice What is the standard formof an equation of the line that passes throughthe point and has a slope of A B

C D

E

4. Multiple Choice What is the standard formof an equation of the line that passes throughthe points and

A

B

C

D

E

5. Multiple Choice What is the standard formof an equation of the line that passes throughthe points and

A B

C D

E 8x 1 3y 5 224

3x 1 8y 5 648x 1 3y 5 8

y 5 283 x 1 88x 1 3y 5 24

s6, 28d?s3, 0d

3x 1 2y 5 25

23x 1 2y 5 25

23x 1 2y 5 11

3x 1 2y 5 11

y 2 4 532 sx 1 1d

s27, 25d?s21, 4d

5x 1 y 5 218

5x 2 y 5 385x 1 y 5 238

5x 1 y 5 2425x 1 y 5 4225?s28, 22d

x 2 2y 5 211

x 1 2y 5 11x 1 2y 5 211

x 1 2y 5 9x 2 2y 5 29

12?s21, 5d

3x 2 7y 5 214

3x 2 7y 5 1423x 1 7y 5 14

23x 1 7y 5 227y 5 3x 2 14

y 537 x 2 2 6. Multiple Choice What is the standard form

of an equation of the horizontal line that pass-es through the point A B

C D

E

7. Multiple Choice What is the standard formof an equation of the vertical line in thegraph?

A B

C D

E






8.

9.

10.

y 5 23

x 5 1y 5 2

x 5 23y 5 22

12125

1

3

21x

y

(1, 2)

(23, 22)

y 5 0

x 5 28y 5 28

x 5 2y 5 2s2, 28d?




Column A Column B

The constant term in3x 1 2y 5 7

A in the standardform of 5x 1 8y 5 7

The x-intercept of3x 2 2y 5 210

The y-intercept of2x 1 5y 5 6

The slope of x 5 26 The slope of12x 1 3y 5 16

GA QCC: 1, 3, 18, 19

GHSGT: 4, 5, 43


5.5LESSON


Ch

apte

r 5

1. Multiple Choice Which equation below iswritten in the form

A B

C D

E

2. Multiple Choice Match the equation withthe line whose x-intercept is the solution ofthe equation.

A B

C D

E

3. Multiple Choice Rewrite the equationin form.

A B

C D

E

4. Multiple Choice You have $105 in five andten dollar bills. Which equation relates thenumber of five dollar bills x, and the numberof ten dollar bills y?

A

B

C

D

E None of these

x 2 y 5 105

5x 1 10y 5 105

10x 1 5y 5 105

x 1 y 5 105

y 5 23x 2 8

23x 2 8 5 0x 5 283

23x 1 8 5 023x 5 8Ax 1 B 5 07 2 3x 5 15

5x 1 5 5 0

12 x 2

12 5 01 2 x 5 0

x 2 1 5 03x 1 6 5 0

1 323

1

23

x

y

5x 2 2y 5 0

22x 2 17 5 03x 1 6 5 y

y 512 x 1 22x 1 3y 5 7

ax 1 b 5 0?5. Multiple Choice If represents the

year 1989, ___?__ represents the 2011.A 22 B 20 C 19

D 21 E 23

6. Multiple Choice Tom presently has $14,300in savings and adds $2500 to it every year. If

represents the current year, whichequation gives Tom’s savings as a function oftime?

A

B

C

D

E None of these

7. Multi-Step Problem A store owner is tryingto predict next years sales for his store. Hedeveloped two models to estimate for anaverage year and a good year. In the models,x is the number of year since 1994.

Model 1:

Model 2:

a. Write equations to solve for the year if each model predicts sales will be$350,000.

b. Graph the equations on one coordinateplane. In what year will sales reach$350,000 for each model?

S 5 24,750x 1 220,000

S 5 13,850x 1 220,000

S 5 2500t 2 14,300

S 5 14,300t 2 2500

S 5 2500t 1 14,300

S 5 14,300t 1 2500

t 5 0

t 5t 5 0




GA QCC: 16, 18, 19

GHSGT: 43


5.6LESSON


Ch

apter 5

1. Multiple Choice What is an equation of theline that passes through points (22, 5) and(3, 1)?

A B

C D

E

2. Multiple Choice What is an equation of theline that passes through points (5, 2) and(23, 22)?

A B

C D

E

3. Multiple Choice What is the slope of theline perpendicular to the line

A 2 B C

D E

4. Multiple Choice Write an equation of theline shown in the graph.

A B

C D

E y 5 22x 1 6

y 5 2x 1 6y 512x 1 6

y 512x 2 6y 5 2

12x 1 8

16

12

22212

y 512 x 2 6?

y 512x 1

12

y 512x 2

12y 5 2

12x 2

32

y 512x 2

32y 5

12x 1

32

y 512x 1

32

y 512x 2

32y 5

45 x 2

175

y 5 245x 1

175y 5

45 x 1

175

5. Multiple Choice Which set of lines areperpendicular?A

B

C

D

E

6. Multiple Choice Which lines are perpendicular?

Line d passes through and

Line e passes through and

Line f passes through and

A Lines d and e B Lines d and f

C Lines e and f

D All three are perpendicular

E None of these

7. Multiple Choice Which is an equation of aline perpendicular to the line

A B

C D

E

8. Multi-Step Problem The triangle shown is aright triangle.

a. Find the equations of the lines that formside side and side

b. Which two sides of the triangle form theright angle? How can you prove it?

AC.BC,AB,

323 21

1

23

x

y

(23, 22)

(21, 3)(4, 1)

A

B

C

y 5 232 x 2 2

y 5 223 x 2

12y 5

32 x 2

12

y 523 x 1 3y 5 2

23 x 1 6

y 5 232 x 1

12?

s7, 6d.s2, 10ds5, 8d.s23, 22d

s21, 6d.s2, 4d

y 5 3; y 5 x 1 1

y 5 26x 1 1; y 5 216 x 2 1

y 523 x 1

12; y 5

23 x 2 2

y 513 x; y 5 23x 1 2

y 5 2x 1 3; y 5 22x 1 6

4222

22

x

y(1, 4)

(4, 22)



GA QCC: 3, 22

GHSGT: 41



Ch

apte

r 6


6.1LESSON



1. Multiple Choice Describe the inequality.

A All real numbers greater than 8

B All real numbers greater than or equal to 8

C All real numbers greater than or equal to 9

D All real numbers less than 8

E All real numbers less than or equal to 8

2. Multiple Choice Describe the solution of

A All real numbers greater than

B All real numbers less than

C All real numbers greater than 11


E None of these

3. Multiple Choice Choose the solution of

A B

C D

E

4. Multiple Choice Choose the solution of.

A B

C D

E

5. Multiple Choice The coldest temperaturerecorded in your city was Choosethe inequality describing all of the recordedtemperatures in your city.

A B

C D

E None of these

t ≥ 26t ≤ 26

t > 26t < 26

268C.

7 ≤ x

27 ≤ xx < 27

x < 7x < 27

2 1 x < 25

x < 5

x < 15x > 15

x > 25x > 525 1 x > 10.

25

25x 2 8 > 3.

y . 86. Multiple Choice Which graph represents

the solution of

A

B

C

D

E

7. Multiple Choice Which graph representsthe solution of ?A

B

C

D

E

Quantitative Comparison In Exercises 8-10,choose the statement that is true about the givennumbers.





8.

9.

10.

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

1 ≤ –1 1 x

24252627 23 22 21 0

24252627 23 22 21 0

24252627 23 22 21 0

10 11 12 13 14987

10 11 12 139876

x 1 7 > 3?

Column A Column B

12 < x 1 2x < 21

2

x < 2197 1 x ≥ 211x ≥ 2x 1 3 < 5

GA QCC: 22

GHSGT: 41



Ch

apter 6

6.2LESSON




1. Multiple Choice Describe the solution of

A All real numbers less than 7

B All real numbers less than or equal to 7



E None of these

2. Multiple Choice Describe the solution of.

A All real numbers greater than –3

B All real numbers greater than or equal to 23



E All real numbers less than or equal to 23

3. Multiple Choice Choose the solution of.

A B

C D

E

4. Multiple Choice Choose the solution of

A B

C D

E x ≤ 24

x ≤ 237x ≤ 221

x ≥ 221x ≥ 242

x7 ≥ 3.

x ≤ 1

x ≥ 21x < 1

x < 21x < 2

2x ≤ 1

3x ≤ –9

2x ≤ 14.5. Multiple Choice Which graph represents

the solution of ?

A

B

C

D

E

6. Multiple Choice Which graph representsthe solution of A

B

C

D

E






7.

8.

9.

21222324 0 1 2 3

21222324 0 1 2 3

21222324 0 1 2 3

21222324 0 1 2 3

21222324 0 1 2 3

23x ≤ 6?

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

x6

> 12

Column A Column B

x 1 7 ≥ 282x3 ≤ 5

2x < 10x 2 10 ≥ 23

x ≥ 6x < 6

GA QCC: 1, 3, 22

GHSGT: 4, 41


6.3LESSON


Ch

apte

r 6


1. Multiple Choice Which inequality isequivalent to A B

C D

E


C D

E

3. Multiple Choice Describe the solution ofthe inequality A All real numbers greater than or equal

to

B All real numbers greater than or equalto 20

C All real numbers less than or equalto

D All real numbers less than or equal to

E All real numbers greater than or equalto


C D

E


C D

E x < 23

x > 235x < 2

35

x > 3x < 36 2 x > 4x 1 9?

x ≤ 21

x ≥ 26x ≤ 26

x ≥ 21x ≥ 6x 2 5 ≤ 3x 1 7?

25

25

220

220

212 x 2 4 ≤ 6.

x ≥ 34

x ≤ 34x ≤ 22

x ≥ 2x ≤ 25 2 8x ≥ 211?

x ≤ 6

x ≥ 53x ≤ 5

3

x ≤ 3x ≥ 33x 2 2 ≤ 7?

6. Multiple Choice It costs $20 to golf at alocal course. A season pass costs $250.Which inequality represents the number ofgames you need to play to justify buying aseason pass?A B

C D

E None of these

7. Multi-Step Problem You are working onyour school’s yearbook. It takes at least3 hours to design and layout a page.a. Write an inequality that describes the

number of hours it would take to layout a220 page yearbook.

b. You work 4 hours per week. Write aninequality describing the number of weeksit would take you to complete theyearbook if you were working alone.

c. Write an inequality to describe the numberof people that would be necessary tocomplete the yearbook in 20 weeks or lessif each person averages 5 hours of workper week.

x ≤ 12x ≥ 13

x > 12x ≥ 12



GA QCC: 22

GHSGT: 41



Ch

apter 6

6.4LESSON


1. Multiple Choice Which inequalityrepresents all real numbers greater than 4 andless than or equal to 7?A B

C D or

E or

2. Multiple Choice Describe the solution ofthe inequality A All real numbers less than 3 and greater

than 22

B All real numbers less than 10 or greaterthan 21

C All real numbers less than 3 and greaterthan 21

D All real numbers less than 9 or greaterthan 21

E None of these

3. Multiple Choice Describe the solution ofthe inequality A All real numbers less than 9 and greater

than or equal to 5

B All real numbers less than 15 or greaterthan or equal to 11

C All real numbers less than 15 and greaterthan or equal to 11

D All real numbers less than 9 or greaterthan or equal to 5

E None of these

4. Multiple Choice Choose the solution of theinequality A B

C D A and C

E A and B

23 ≥ x > 27

23 ≤ x < 2727 < x ≤ 236 ≤ 2 2x < 14.

8 ≤ x 2 3 < 12.

22 < 3x 1 1 < 10.

x ≥ 74 < x

x ≤ 74 > x4 < x < 7

4 ≤ x ≤ 74 < x ≤ 7


B

C

D

E

6. Multiple Choice Which graph represents thesolution of A

B

C

D

E None of these






7.

8.

9.

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

3 < 22x 1 1 < 7?

24 23 22 21 0 1 2 3 4

24 23 22 21 0 1 2 3 4

24 23 22 21 0 1 2 3 4

24 23 22 21 0 1 2 3 4

24 23 22 21 0 1 2 3 4

23 ≤ 4x 1 1 < 9?



answer.

Column A Column Band

and and

x . –10x , 0

x # 6x . 26 , 2x 1 10 , 14x , 0x . –1–2 , 2x , 0

–13 # 3x 1 5 , –1

GA QCC: 22

GHSGT: 41


6.5LESSON


Ch

apte

r 6


1. Multiple Choice Which inequality repre-sents all real numbers greater than or equal to5 or less than 22?

A B or

C D or

E

2. Multiple Choice Describe the solution ofthe compound inequality or

A All real numbers less than andgreater than 2

B All real numbers less than 3 and greaterthan

C All real numbers less than 3 and greaterthan 2

D All real numbers less than or greaterthan

E All real numbers less than andgreater than

3. Multiple Choice Choose the solution of thecompound inequality or

.

A and B or C and D or E None of these

4. Multiple Choice Choose the solution of the compound inequality or

.

A or

B or

C and

D or

E None of these

x < 26x ≥ 4

x < 6x ≥ 24

x < 6x ≥ 24

x < 26x ≥ 24

5 1 4x < 2195x ≤ 20

x > 5x < 3x > 21x < 4

x > 3x < 5x > 4x < 21

2 2 3x < 52x 2 5 < 3

272

195

2223

22

2325x 1 2 > 17.

22x 1 5 < 9

5 > x > 22

x < 22x ≤ 55 ≥ x > 22

x ≤ 22x ≥ 55 ≤ x < 22

5. Multiple Choice Which graph representsthe solution of the compound inequality

or ?A

B

C

D

E None of these

6. Multiple Choice Which graph representsthe solution of the inequality or

A

B

C

D

E None of these






7.

8.

9.

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

3x 2 8 ≥ 10.4x 1 1 < 13

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

4x 1 3 ≤ 213 2 x < 1



answer.

Column A Column Band

or and

2x2 ≤ 2

3x < 26x > 3x ≤ 142 ≤ x 1 3 ≤ 18

x < 3x ≥ 223 ≤ x < 8

8 < 22x 1 4 ≤ 12

GA QCC: 3

GHSGT: 38



Ch

apter 6

6.6LESSON


1. Multiple Choice Which numbers aresolutions to the absolute-value equation

A B

C D

E

2. Multiple Choice Which numbers aresolutions to the absolute-value equation

A B

C D

E

3. Multiple Choice Which numbers are solutions to the absolute-value equation

?

A 21 and 2 B 22 and 2

C 21 and 22 D 21 and 3

E None of these

4. Multiple Choice Which numbers are solutions to the absolute-value equation

?

A 22 and 210 B 22 and 10

C 2 and 10 D 2 and 210

E None of these

7 1 |x 2 6| 5 3

|1 2 x| 5 2

10 and 210

83 and 2232

3 and 210

83 and 28

32 and 22

12 1 |3x 2 1| 5 19?

3 and 27

29 and 2139 and 29

9 and 2136 and 210|x 1 2| 2 3 5 8?

5. Multiple Choice Which numbers are solu-

tions to the absolute-value equation ?A 0 B 4

C 0 and 4 D 4 and –4

E None of these

6. Multiple Choice Which graph representsthe solution of ?

A

B

C

D

E None of these






7.

8.

9.

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

21222324 0 1 2 3 4

|2x 2 5| 5 3

|x4| 5 0



Column A Column B

|2x 1 3| 5 1|2x 2 3| 5 1|x 2 4| 5 1|x 2 1| 5 1|x| 5 0|x| 5 6

GA QCC: 3

GHSGT: 4


6.7LESSON


Ch

apte

r 6


1. Multiple Choice Which number is a solution to the absolute-value inequality

?

A B 0.5

C 21 D 1.23

E None of these

2. Multiple Choice Which number is a solution to the absolute-value inequality

?

A 21 B 23

C 0 D 1

E None of these


B

C

D

E


B

C

D

E24 2226 0 2 4 6 8 10 12 14

24 2226 0 2 4 6 8 10 12 14

22 0 2 4 6 8 10

22 0 2 4 6 8 10

22 0 2 4 6 8 10

|2x 2 7| 1 3 < 12?

2223242526 21 0 1 2

22 21 0 1 2 3 4 5 6

22 21 0 1 2 3 4 5 6

22 21 0 1 2 3 4 5 6

22 21 0 1 2 3 4 5 6

|3x 2 6| ≥ 9?

|x 1 1| ≤ 1

23

|6x 2 7| < 2


B

C

D

E

6. Multiple Choice Your soccer team averagesbetween 3 and 9 goals per game. Choose theabsolute-value inequality describing the aver-age number of goals per game.

A B

C D

E






7.

8.

9.

|x 1 3| ≤ 6

|x 2 3| ≤ 3|x 2 6| ≤ 3

|x 2 6| ≤ 9|x 2 3| ≤ 9

24 23 22 21 0 1 2 3 4

24 23 22 21 0 1 2 3 4

24 23 22 21 0 1 2 3 4

24 23 22 21 0 1 2 3 4

24 23 22 21 0 1 2 3 4

|5x 2 2| 2 8 ≥ 9?



Column A Column B

|2x 2 1| 2 1 < 2|4x 2 2| < 6

|2x 1 3| < 7|x 2 7| < 2|x| , 1|x 1 2| < 1

GA QCC: 1, 3, 23, 24

GHSGT: 4, 5, 42



Ch

apter 6

6.8LESSON


1. Multiple Choice Which point is a solutionof

A B

C D

E

2. Multiple Choice Which point is a solutionof

A B

C D

E

3. Multiple Choice Which point is not asolution of

A B

C D

E

4. Multiple Choice Choose the inequalitywhose solution is shown in the graph.A

B

C

D

E

5. Multiple Choice Choose the inequalitywhose solution is shown in the graph.A

B

C

D

E y ≤ 23x 1 2

y ≥ 23x 1 2

y > 3x 1 2

y > 23x 1 2

1 323 21

1

21

23

x

yy < 23x 1 2

x 2 1 ≥ 21

y ≥ 21

x ≥ 21

y > 21

1 323

1

3

x

yx > 21

s1, 7d

s24, 21ds0, 3d

(2, 10ds21, 3d11x 2 6 < y?

s23, 24d

s5, 22ds0, 22d

s3, 21ds0, 2d4x 2 8y < 14?

s21, 1d

s2, 21ds22, 22d

s4, 1ds1, 1d3x 2 5y ≥ 8?

6. Multiple Choice Choose the inequality thatthe graph represents.

A

B

C

D

E

7. Multi-Step Problem You are in charge ofa dinner-dance for school. You have a budgetof $500 for dinners. There are 3 choices ofmeals: a fish dinner for $8.50, a steak dinnerfor $10.50, and a vegetarian dinner for $7.50.Two people order the vegetarian meal.

a. Write an inequality to model thedifferent combinations of fish andsteak dinners that might be purchased.

b. Graph the inequality.

c. If only 20 fish dinners are available, howmany steak dinners can be purchased?

d. Does every point on the graph represent areasonable real-life solution?

y ≥ 23 x 2 1

y ≤ 223 x 1 1

y ≤ 223 x 2 1

y < 23 x 2 1

323 21

1

3

23

x

yy > 23 x 2 1

TEST TAKING STRATEGY If you can, check your answer using a different method

than you used originally to avoid making the same mistake twice



Ch

apte

r 6

Cumulative Standardized Test PracticeFor use after Chapters 1–6

6CHAPTER


A B C

D E


A 1 B C 125

D 25 E


A B C 125

D E 216

4. Multiple Choice What is the value of

A 24 B C

D E






5.

6.

7.

224485

134212

3 ? 4 1 62

16 2 32 ? 2?

2125

2542216

x 5 3.s22xd3

2125

21

y 5 22.x 5 3sx 2 yd3

49

187

23

32

117

x 594.2

3 x 8. Multiple Choice Evaluate the expression

A 3 B 9 C 0

D E


A 13 B 17 C

D E 3


A B C

D 80 E 44

11. Multiple Choice Simplify the equation

A B

C D

E

12. Multiple Choice Find the missing lengths ifthe perimeter is 21.

A 2, 4

B 3, 6

C 5, 10

D 6, 12 E 4, 8

2xx

6

7x2 1 5x

7x2 2 5x9x2 1 5x

7x2 2 2x 2 79x2 2 9x

8x2 2 xsx 2 7d 2 2x.

278248244

x 5 22.9x 2 s2xd3 1 x

213

23

x 5 28.7 1 x 1 s22d

2923

2|26| 1 3.

Column A Column B

8x 2 3 5 29 18 512 x 1 12

Nine times anumber decreasedby 8 is 19.

Eight times anumber is threesquared plus seven.

when x 5 22y 5 3x2 2 8

when x 5 9y 5 118 2 4x2



Ch

apter 6



A The value of column A is greater.

B The value of column B is greater.

C The two columns are equal.


13.

14.

15.


A 9 B 8 C 7

D 6 E 5


A 12 B 8 C 22

D E


A 0 B 2 C

D 1 E No solution

19. Multi-Step Problem Your cable TV compa-ny charges $32 a month for basic cable andone premium channel. Additional premiumchannels cost $12 per month.

a. Let x represent the number of premiumchannels you subscribe to. Write anexpression that would model the total costof your cable bill.

b. Your bill came to $56 last month. Howmany premium channels did you order?

c. Critical Thinking If your total bill alsoincludes 6% sales tax, how could you fig-ure out how many premium channels youordered?

23

14s4x 2 4d 5

15s5x 2 10d.

28222

13s9x 2 15d 2 2 5 2x 1 5.

5x 2 6 5 4x 1 3.

20. Multiple Choice Solve the equationRound to the

nearest tenth.

A B 28.6 C 3.8

D 3.9 E

21. Multiple Choice How much money wouldyou have to invest to earn $208 dollars ininterest in 5 years at a rate of 8%?

A $480 B $550 C $630

D $570 E $520

22. Multiple Choice Rewrite the equationso that y is a function of x.

A B

C D

E

23. Multiple Choice Which quadrant of thecoordinate plane would point be in?

A I B II C III

D IV E II or IV


A B C

D E

25. Multiple Choice What is the equation of theline shown in the graph?

A

B

C

D

E 5x 2 3y 5 215

5x 1 3y 5 15

5x 2 3y 5 15

25x 1 3y 5 215

y

x3 5121

3

5

1

21

25x 1 3y 5 15

s22, 28ds2, 21ds8, 6ds2, 1ds24, 22d

3x 2 2y 5 8.

s23, 6d

y 5 22x 1 9

y 5 2x 1 9y 535 x 1 4

y 553 x 1 4y 5 2

53 x 1 4

5x 1 3y 5 12

sHint: I 5 Prtd

23.9

228.6

2.3s21.2x 1 8.2d 5 2.1x.

Column A Column B

12sx 2 4d 5 124x 2 2sx 2 3d 5 17

223 x 5 32212 5

x4

2|27| 1 3x 5 192x 1 |23| 5 17

6CHAPTER

CONTINUED



Ch

apte

r 6


26. Multiple Choice What is the y-intercept ofthe graph shown in Exercise 25?

A 3 B 5 C

D E 4


A B C 4

D E

28. Multiple Choice Find the value of y so thatthe line passing through and hasa slope of

A 2 B C

D E

29. Multiple Choice Choose the set of lineswhich are parallel.

A

B

C

D

E y 527 x 1 2y 5

27 x,

y 5 25x 2 6y 515 x 1 2,

y 512 sx 2 2dy 5

12 x 2 1,

y 5 2x 1 3y 5 22x 1 3,

y 532 x 1 6y 5

23 x 1 1,

31222

218253

4

238.

s3, yds25, 1d

26214

1424

s8, 6d.s7, 2d

23

25

Quantitative Comparison In Exercises 30–33,choose the statement below that is true about thegiven quantity.





30.

31.

32.

33.

34. Multiple Choice What is the equation ofthe line that passes through the point and has a slope of

A B

C D

E

35. Multiple Choice What is the slope of theline perpendicular to the line

A B C

D E

36. Multiple Choice Which equation in point-slope form passes through the point and has a slope of

A

B

C

D

E y 2 2 5 22sx 1 5dy 2 2 5 22sx 2 5dy 5 22x 1 8

y 1 2 5 22sx 2 5dy 5 22x 2 12

22?s5, 22d

21

10252

522

25

25

y 525 x 1 10?

y 512 x 1 6

y 512 x 2 3y 5

12 x 2 6

y 512 x 1 5y 5

12 x 2 5

12?

(2, 24d

Column A Column B

The constant ofvariation iny 5 23x

The constant ofvariation iny 5

12 x



The y-interceptof y 5 23x 1

12

The y-intercept of y 5

13 x 1

12

when x 5 23f sxd 5 22x 1

12

when x 5 6f sxd 5

23 x 2 1

6CHAPTER

CONTINUED



Ch

apter 6


37. Multiple Choice Find the standard form ofthe equation of the line that passes throughthe points and

A B

C D

E

38. Multi-Step Problem The table shows theaverage cost of a large, one item pizza.

a. Draw a scatter plot of the price of a pizzain terms of the year t. Let t be the numberof years since 1990.

b. Write a linear model that best fits the data.

c. Use the model to predict the price of apizza in 1995. Was this linear interpolationor extrapolation?

d. Use the model to predict the price in 2002.

39. Multiple Choice Which graph representsthe solution of

A

B

C

D

E

40. Multiple Choice Which inequality is equiv-alent to

A B C

D E x ≤ 11x ≥ 11

x ≥ 1x ≥ 21x ≤ 1

x 2 5 ≤ 2x 2 6?

24 23 22 21 0 1 2 3

24 23 22 21 0 1 2 3

24 23 22 21 0 1 2 3

24 23 22 21 0 1 2 3

24 23 22 21 0 1 2 3

22x 1 3 ≥ 7?

y 574 x 2 5

7x 2 4y 5 25y 574 x 2

14

7x 2 4y 5 17x 2 4y 5 4

s21, 22d.s3, 5d

41. Multiple Choice Choose the solution of theinequality

A B

C D

E

42. Multiple Choice Which numbers aresolutions of the absolute-value equation

A B

C D

E

43. Multiple Choice Which point is not asolution of

A B C

D E s21, 1ds22, 3ds3, 2ds2, 1d(1, 6d

y ≥ 3x 2 5?

25 and 23

7 and 85 and 23

29 and 79 and 27|x 2 1| 2 2 5 6?

32 < x ≤ 7

32 < x ≤ 9

292 > x ≥ 7

92 < x ≤ 73

2 > x ≥ 7

6 < 2x 2 3 ≤ 11.

Year 1990 1992 1994 1996 1998Cost $5.60 $6.20 $6.80 $7.50 $8.30

6CHAPTER

CONTINUED



Ch

apte

r 7


7.1LESSON



answer.

1. Multiple Choice Which point represents thesolution of the system of linear equations?

A B C

D E

2. Multiple Choice Which point represents thesolution of the system of linear equations?

A B C

D E

3. Multiple Choice What is the solution of thesystem of linear equations?

A B

C D

E


A B

C D

E s3, 0d

s23, 1ds3, 21d

s23, 21ds3, 1d

y 523x 2 3y 5 2

23x 1 1

s0, 22d

s4, 25ds24, 5d

s24, 25ds4, 5d

y 534x 2 2y 5

32x 1 1

s0, 2ds0, 22d

s2, 1ds2, 0ds1, 2d

3x 2 2y 5 4

y

x321

1

3

21

y 5 212x 1 2

s13, 27

3ds1, 3d

s23, 25

3ds0, 22ds0, 23d

y 5 2x 2 2

y

x31

1

23

23

y 5 2x 2 3

5. Multiple Choice If and

A 1 B 2 C 3

D 4 E 5

6. Multiple Choice Riding the bus to and fromwork costs you $5.50 round trip. You arethinking about buying a used car for $2500.Gas and maintenance will cost you about$.50 per trip. How many trips to work will ittake to break even?

A 510 B 417 C 450

D 500 E 525


A 2 B 1 C 6

D 3 E

Quantitative Comparison In Exercises 8–10,solve the linear system. Then choose the state-ment below that is true about the solution of thesystem.

A The value of x is greater than the valueof y.

B The value of y is greater than the valueof x.

C The values of x and y are equal.


8.

9.

10. x 5 21y 512x 2 4

y 5 232x 1 13x 1 2y 5 14

y 5 232x 1 1y 5

12x 2 4

21

4x 2 7y 5 15, then x 1 y 5 ? .y 5

12x 2 2

4x 2 y 5 3, then x 5 ? .y 5 2x 1 5

GA QCC: 1, 2, 3, 20, 21

GHSGT: 4, 44



Ch

apter 7


7.2LESSON

1. Multiple Choice Use the substitutionmethod to determine the solution of thesystem of linear questions.

A B

C D

E

2. Multiple Choice Use the substitutionmethod to determine the solution of thesystem of linear equations.

A B

C D

E

3. Multiple Choice Use the substitutionmethod to determine the solution of thesystem of linear equations.

A B

C D

E

4. Multiple Choice Which point lies on thegraph of the system?

A B

C D

E

5. Multiple Choice Which point lies on thegraph of the system?

A B

C D

E s6, 3d

s8, 21ds5, 24d

s23, 6ds6, 23dx 1 2y 5 0y 5 x 2 9

s0, 4d

s22, 1ds4, 7d

s5, 3ds3, 5dx 2 y 5 24x 1 y 5 23

s0, 4d

s22, 1ds22, 5d

s1, 4ds4, 0d23x 1 2y 5 83x 1 4y 5 16

s210, 1d

s2225 , 226

5 ds2, 24d

s24, 2ds22, 22d2x 2 y 5 8x 1 2y 5 26

s3, 5d

s21, 27ds22, 26d

s2, 6ds1, 7dy 5 3xx 1 y 5 8

6. Multiple Choice The ordered pair is a solution of which system of equations?

A B

C D

E


A 5 B 4 C 6

D 8 E 9

Quantitative Comparison In Exercises 8–10,solve the linear system. Then choose the statement below that is true about the solution of the system.





8.

9.

10.

7x 2 y 5 213

3y 5 2x 1 1

y 512x 1 2

5x 1 2y 5 28

24x 2 3y 5 29

3x 1 y 5 8

x 2 2y 5 24, then xy 5 ? .5x 2 3y 5 1

4x 2 2y 5 8

y 5 2x 2 2

2x 2 y 5 2x 2 y 5 22

2x 1 y 5 47x 1 3y 5 18

y 545x 2 10x 2 y 5 14

x 2 2y 5 223x 1 2y 5 4

s6, 28d



GA QCC: 20, 21

GHSGT: 44



Ch

apte

r 7


7.3LESSON

1. Multiple Choice Order the steps below tosolve the system of equations using linearcombinations.

Equation 1

Equation 2

I. Substitute the known variable into eitherof the original equations. Solve for theremaining unknown variable.

II. Multiply Equation 1 by 3 and Equation 2by 2.

III. Multiply Equation 1 by 3 and Equation 2by

IV. Arrange the equations with like terms incolumns.

V. Add the equations, combine like terms toeliminate one variable, and solve for theremaining variable.

A I, II, III, IV B IV, II, V, I

C II, IV, I, V D IV, III, V, I

E II, IV, I, V

2. Multiple Choice Solve the system of linearequations using linear combinations.

A B C

D E


A 6 B 8 C 7

D 5 E 3


A 12 B 25 C 27

D 18 E 14

y 523x 1 7, then xy 5 ? .

2y 2 3 5 5x

24x 1 3y 5 25, then x 1 y 5 ? .3x 1 2y 5 8

s7, 23ds4, 2d

s2, 5ds24, 22ds6, 21d

22x 1 3y 5 22

5x 1 3y 5 26

22.

4y 2 3x 5 16

2x 1 5y 5 7

5. Multiple Choice Two hunters start fromdifferent points in the woods and hiketowards their campsite. The first huntertravels a trail along the line The second hunter’s trail follows the line

They meet at the campsite.What are the coordinates of the site?

A B

C D

E

6. Multi-Step Problem A fish swims 12 milesdownstream in 2 hours. The fish swims backupstream to the same point, but the trip takes3 hours. Assume the speed of the current wasconstant and the fish swam along the samepath.

a. Write a system of linear equations todescribe the situation.

b. Determine the speed of the fish in stillwater.

c. Determine the speed of the current.

d. Writing If the speed of the current wasnot constant, could you still calculate thespeed of the fish in still water?

s21207 , 48

7 ds214, 5ds213, 2ds230

7 , 1087 ds2108

7 , 307 d

3y 5 22x 2 18.

2y 2 x 5 24.



GA QCC: 1, 3, 20, 21

GHSGT: 4, 44



Ch

apter 7


7.4LESSON

1. Multiple Choice Your class is selling wrapping paper and candles for a fund raiser.Rolls of wrapping paper sell for $5 and candles sell for $4 each. A total of 526 itemswere sold and $2327 was raised. How manyof each item was sold?A 220 rolls, 306 candles

B 223 rolls, 303 candles

C 326 rolls, 200 candles

D 200 rolls, 326 candles

E 215 rolls, 311 candles

2. Multiple Choice The manual for your boatengine calls for 91 octane gas. The gasstations by your house only sell 87 and 93octane. If the boat’s tank holds 30 gallons,how many gallons of each should you buy fora 91 octane mix?A 15 gallons of 87 and 15 gallons of 93.

B 12 gallons of 87 and 18 gallons of 93.

C 10 gallons of 87 and 20 gallons of 93.

D 20 gallons of 87 and 10 gallons of 93.

E 18 gallons of 87 and 12 gallons of 93.

3. Multiple Choice You went snow skiing for6 hours. You skied at an average rate of 30miles per hour and the ski lift took you backup the hill at a rate of 10 miles per hour. Ifyour overall average rate was 23 miles perhour, how many hours did you actually spendskiing?

A 4 B 3.5 C 3.9D 3.1 E 4.5

4. Multiple Choice You are taking a test worth130 points. There are a total of 50 five-pointand two-point questions. How many five-point questions are on the test?

A 15 B 5 C 20

D 12 E 10

5. Multiple Choice At what point do the linesand intersect?

A B

C D E

6. Multiple Choice A school has two soccerseasons. There are currently 30 students playing on the spring team and participationis increasing by 2 students per year. There arecurrently 19 students playing on the fall teamand this is increasing by 3 students per year.When will the teams be the same size?

A 12 years B 14 years

C 10 years D 11 years

E 8 years

Quantitative Comparison In Exercises 7–9,solve the linear system. Then choose the statement below that is true about the solution of the system.





7.

8.

9.

3x 1 5y 5 34

8y 2 3x 5 31

y 532 x 2 1

3y 5 10x 2 14

223 x 2

12 y 5 21

2x 1 5y 5 216

(2, 4ds2, 5ds3033, 21

33ds1, 4ds8, 9d

y 5 232 x 1 812x 2 3y 5 9


GA QCC: 1, 3, 20, 21

GHSGT: 4, 44



Ch

apte

r 7

1. Multiple Choice How many solutions doesthe linear system have?

A None B Exactly one

C Two D Infinitely Many

E Cannot be determined










A B C

D No solution E Cannot be determined

s2.5d(4, 10ds24, 210d2x 1 y 5 18

y 512 x 1 8

y 5 3x 2 9

6x 2 2y 5 14

y 5 22

x 5 3

6x 2 4y 5 16

y 532 x 1 8


A B

C D No solution

E Infinitely many

6. Multiple Choice How many solutions doesthe graph below have?

A None

B Exactly one

C Two

D Infinitely many

E Cannot bedetermined

Quantitative Comparison In Exercises 7–9,solve the linear system. Then choose the state-ment below that is true about the solution of thesystem.

A The number of solutions in column A isgreater.

B The number of solutions in column B isgreater.

C The number of solutions are equal.


7.

8.

9.

y

x121

1

3

23

23

s0, 28ds4, 2ds2, 23d

y 552 x 2 10

5x 2 2y 5 16

TEST TAKING STRATEGY Avoid spending too much time on one question. Skip ques-

tions that are too difficult for you and spend no more than a few minutes on each

question.


7.5LESSON

Column A Column B

2x 1 2y 5 4y 5

12 x 1 2

3x 1 4y 5 16x 1 y 5 7

y 5 3x 2 2y 5 3x 1 6

y 532 x 1 6

23x 1 2y 5 2

y 5 275x 5 10

14x 2 24 5 24y7x 1 2y 5 12

GA QCC: 16, 20

GHSGT: 44



Ch

apter 7

1. Multiple Choice Choose the system of linearequalities shown in the graph.

A B

C D

E None of these


A B

C D

E None of these

3. Multiple Choice Which point is a solutionof the system of linear inequalities?

A B C

D E s24, 2ds22, 3ds1, 2ds22, 23d(0, 0d

y < 223 x 2 1

y ≤ 12 x 1 2

y ≥ 3x 2 1y ≥ 13 x 2 1

y ≤ 3x 1 2y ≥ 13 x 1 2

y ≤ 3x 2 1y ≤ 3x 2 1

y ≥ 3x 1 2y ≥ 3x 1 2

y

x3121

3

23

y ≥ 223 x 1 3y ≤ 2

23 x 1 3

y < 32 x 2 2y > 3

2 x 2 2

y ≥ 223 x 1 3y ≤ 2

23 x 1 3

y > 32 x 2 2y < 3

2 x 2 2

y

x321

1

21


A B

C D

E None of these

5. Multiple Choice Which point is a solutionof the system of linear inequalities?

A B C

D E

6. Multi-Step Problem During the summeryou take two part-time jobs. The first pays$5 an hour. The second pays $8 an hour. Youwant to earn at least $150 a week and work25 hours or less a week.

a. Write a system of inequalities that modelthe hours you can work at each job.

b. Graph the system.

c. List two alternatives for dividing yourtime between jobs.

s22, 22ds23, 28ds2, 0ds0, 3d(1, 23d

y ≥ 2x

y < x 1 1

y ≤ 32 x 2 1y ≥ 3

2 x 2 1

y ≥ 23y ≤ 23

x < 3x < 3

y ≤ 32 x 2 1y ≤ 3

2 x 2 1

y ≤ 23y ≥ 23

x < 3x > 3

y

x5121

1

3

21


correct one.


7.6LESSON

GA QCC: 1, 3, 23, 24

GHSGT: 4, 44



Ch

apte

r 8

1. Multiple Choice How many factors are inthe expression

A 5 B 9 C 3

D 2 E 1

2. Multiple Choice In the expression the 7is called the

A factor B base

C exponent D product

E term

3. Multiple Choice Simplify Write theanswer as a power.

A B C

D E

4. Multiple Choice Simplify Write theanswer as a power.

A B C

D E

5. Multiple Choice Simplify Writethe answer as a power.

A B

C D

E


A 256 B 4096 C 16

D 144 E 128


A 19,683 B 6561

C D

E 259,049

26561219,683

x 5 23.2sx3d2s3x2d

a 5 2.sa2 ? a4d2

81x5y6

212x5y812x4y8

281x4y881x4y8

s23xy2d4.

51459

552514259

s52d7.

161548

41516888

43 ? 45.

? .x7,

53 ? 56?8. Multiple Choice The volume of a cylinder

is given by , where r is the radius,h is the height and is approximately 3.14.What is the volume of the cylinder in termsof x?A

B

C

D

E

Quantitative Comparison In Exercises 9–12,simplify each expression. Then choose thestatement below that is true about the givennumber.


B The number column B is greater.


D The relationship cannot be determinedwith the given information.

9.

10.

11.

12.

887.4x4

282.6x4

94.2x4

282.6x23x2

h =10

94.2x2

p

V 5 pr2h




8.1LESSON

Column A Column B

x7 ? x5 sx7d5

s2x2d3 s4x2ds2x4dwhen

x 5 23s3xd2sx3d when

x 5 22s7x2d3

whenand b 5 21a 5 2

sab2dsx3d whenand b 5 22a 5 1

sb2d3sabd

GA QCC: 3, 9, 11

GHSGT: 3, 33, 34, 35



Ch

apter 8

8. Multiple Choice Rewrite with

positive exponents.

A B

C D

E

9. Multiple Choice Evaluate .

A 8 B 4

C –4 D

E –8

Quantitative ComparisonIn Exercises 10–12,choose the statement below that is true about thegiven value.





10.

11.

12.

18

22–2

2yx

22yx

22yx3

2x3

y–2x3y

22x –1

x2y–11. Multiple Choice Evaluate

A 10 B C

D E

2. Multiple Choice Evaluate

A B C 2

D 4 E


A 243 B C

D 6561 E

4. Multiple Choice Rewrite with positive exponents.

A B C

D E


A B C

D E


A 81 B 1 C

D 0 E


A B C

D E25y5

26y5

26xy5

26xy5

26xy7

s23x3y26ds2x23yd

281

21

s23d2s23d22.

6x2y

6y3

x2

6y23

x2

5yx2

6yx2

s2x22yds3y22d

18x3y49xy2

9xy2

18xy2

18xy2

s3x22yds6xy23d

16561

22431243

s33d24s37d.

22

12

14

222 ? 24 ? 223.

2125

110

125225

s523d1 15252s524d.

TEST TAKING STRATEGY Learn as much as you can about the test ahead of time,

such as types of questions and the topics the test will cover.


8.2LESSON

Column A Column B

20 40

4–2 4–3

13–2

14–2

GA QCC: 9, 10, 11

GHSGT: 3, 33, 34



Ch

apte

r 8

1. Multiple Choice Which function containsthe point (0, 1)?

A B

C D

E None of these

2. Multiple Choice Evaluate when. Round the answer to the nearest

hundredth.

A 66.9 B 66.99

C 69.89 D 68.99

E 68.9

3. Multiple Choice Describe the domain and

range of the function .

A domain: all real numbers;range: all positive real numbers

B domain: all negative real numbers;range: all negative real numbers

C domain: all real numbers;range: all negative real numbers

D domain: all positive real numbers;range: all positive real numbers

E domain: all real numbers;range: all real numbers

4. Multiple Choice What point do the follow-ing functions have in common?

A B

C (2, 0) D (0, 2)

E s0, 0d

s12, 0ds0, 12d

y 54x

2y 5

12

(3)x

y 5 –1122

x

x 5 2.2y 5 2(5)x

y 5 1132

x

y 5 21132

x

y 5 2(3)xy 5 3x

TEST TAKING STRATEGY Learn as much as you can about the test ahead of time,

such as types of questions and the topics the test will cover.


8.3LESSON

5. Multiple Choice Choose the equation of thecurve shown.

A

B

C

D

E

6. Multiple Choice Choose the equation of thecurve shown.

A

B

C

D

E

7. Multi-Step Problem You started a savingsaccount in 1996. The balance y is modeled bythe equation where represents the year 2000.

a. What is the balance in 1996?

b. What is the balance in 2000?

c. What is the balance in 2002?

t 5 0y 5 500s1.08dt,

y 5 s25dx

y 5 s15d2x

y 5 s13d2x

y 5 52x

y

x3121

3

5

1

2123

y 5 32x

y 5 s13dx

y 5 s12dx

y 5 3x

y 5 2x

y

x3121

3

1

21

23

23

y 5 s21dx

GA QCC: 1, 3

GHSGT: 5, 34



Ch

apter 8

8.4LESSON


A B 27 C 9

D E


A B 0 C 3

D E 1


A B C

D E


A B C

D E

5. Multiple Choice Simplify

A B C

D E


A B C

D E

7. Multiple Choice Which expression simplifies to

A B C

D Ex29y2

x27y2

x27y2

x29y2

3x23

3x5

5x5y5x24y

x5

x23

x2?

6y46xy4

6x4

y46x4y56x2y4

5xy0

2y3 ?12x2y7

5x.

94

x2y39x2y2

8

9y2

4x9y3

8x2

9y3

4x2

3x5y2xy2 ?

6xy4

4x7 .

22764

6427

2764

1292

912

s34d23.

452

425

425

4102

254

12252

2

.

23

21

235

s23d5.

22719

127

37

34. 8. Multiple Choice Simplify

A B C

D E


A B C

D E


A B C

D E

Quantitative Comparison In Exercises 11–13,simplify the expression using and Then choose the statement below that is true aboutthe given number.





11.

12.

13.

y 5 2.x 5 21

y2

z6

z6

y

z6

y2y2z6yz6

1xy2zyz4 2

–2

?y

x–2

29xy

29

x2y

29

xy34

x10y9x2

8y

sx2yd3

2xy2 ? 13x4y2

2xy 222

.

5y2

x5yx

5xy5x5x

15x3y3y2 22

? 132xy3

5x8 2.




Column A Column B

xy

s3y3x2yds6yxd s5yx3d ? xy

yx

s5xds5yx2d s12dx

GA QCC: 9, 10, 11

GHSGT: 3, 34



Ch

apte

r 8

8.5LESSON

1. Multiple Choice Rewrite in decimal form.

A 54,000 B 540,000

C 0.000054 D 0.00054

E 5400

2. Multiple Choice Rewrite in decimal form.

A 0.00000082 B 0.000082

C 8,200,000 D 0.0000082

E 820,000

3. Multiple Choice Rewrite 0.00000036 in scientific notation.

A B

C D

E

4. Multiple Choice Which of the followingnumbers is not written in scientific notation?

A B

C D

E

5. Multiple Choice Evaluate the productWrite the result in

scientific notation.

A B

C D

E


A B

C D

E 8.1 3 10213

8.1 3 102128.1 3 10211

9 3 102128.1 3 1027

s3.0 3 1023d4.

4.392 3 1022

4.392 3 1024.392 3 103

4.392 3 102343.92 3 1022

s7.2 3 105d ? s6.1 3 1028d.

1.408 3 1022

76.02 3 1098 3 105

3.72 3 10271.2 3 108

3.6 3 1028

3.6 3 10263.6 3 106

3.6 3 10273.6 3 107

8.2 3 1026

5.4 3 104


A B

C D

E

8. Multiple Choice An astronomer measuredthe speed of a comet at 150,000 miles perhour. Write the number in scientific notation.

A B

C D

E

9. Multiple Choice Evaluate Write

the result in scientific notation.

A B

C D

E

Quantitative Comparison In Exercises 10–12,choose the statement below that is true about thegiven value.


B The value column B is greater.



10.

11.

12.

2 3 1014

1 3 10241 3 10214

2 3 10242 3 10214

s0.002d3

400,000.

1.5 3 1024

1.5 3 10251.5 3 105

1.5 3 10261.5 3 106

7 3 1022

8.4 3 10228.4 3 102

8 3 1027 3 1010

s9.6 3 1024ds1.2 3 1026d.


Column A Column B

8.6 3 106

s3.2 3 105ds8.6 3 107d s2 3 105d2

s1 3 1023d

8.6 3 1026

s2.3 3 1025d2 4.84 3 1024

8.8 3 103



GA QCC: 1, 2, 3, 9, 11

GHSGT: 3, 34



Ch

apter 8

8.6LESSON

1. Multiple Choice In the modelis the

A time period B intial amount

C growth factor D growth rate

E percent increase

2. Multiple Choice You deposit $1500 into a savings account that pays 6% interest compounded yearly. How much money is inthe account after 10 years assuming you madeno additional deposits or withdrawls?

A $1590 B $2400

C $2657.34 D $2686.27

E $3890.61

3. Multiple Choice You deposit $750 into asavings account that pays 8% interest com-pounded yearly. How much money is in theaccount after 7 years assuming no additionaldeposits or withdrawls were made?

A $1170 B $1285.37

C $1204.34 D $1388.20

E $1560

4. Multiple Choice Which model best represents the growth curve shown in thegraph?

A

B

C

D

E y 5 50s1.1d2t

y 5 50s1.1dt

y 5 25s0.9dt

y 5 25s1.5dt

y

t3 5121

75

125

25

225

y 5 25s1.5d2t

? .s1 1 rdy 5 cs1 1 rdt,5. Multiple Choice A wildlife management

group releases 12 elk in a re-introduction program area. The population is expected toincrease by 25% each year for the next 5 years. What is the estimated elk populationafter 5 years? (Round down to the nearestwhole number.)

A 27 B 37 C 36

D 15 E 38

6. Multiple Choice You start a new job at apay rate of $6 per hour. You expect a raise of4% each year. After 6 raises, how much willyou be earning per hour?

A $7.44 B $7.02 C $7.57

D $7.59 E $8.51

7. Multi-Step Problem You bought a piece of land for $50,000 in 1998 in an area ofrapidly increasing population growth. Youexpect the land to increase in value 15% eachyear for the next 10 years.

a. Write an exponential growth model for thesituation.

b. Estimate the value of the land in 2005.(Round to the nearest dollar.)

c. Estimate the value of the land in 1996.(Round to the nearest dollar.)

d. Writing If the population growth beginsto level off, what might happen to thevalue of the land?

TEST TAKING STRATEGY Think positive during a test. This will keep up your



GA QCC: 1, 3

GHSGT: 4, 5, 35



Ch

apte

r 8

1. Multiple Choice In an exponential decayfunction, the decay factor is always

A greater than zero

B less than zero

C greater than one

D less than one

E A and D

2. Multiple Choice Which model is an exponential decay model?

A B

C D

E

3. Multiple Choice Which model best repre-sents the decay curve shown in the graph?

A

B

C

D

E

4. Multiple Choice You buy a new laptopcomputer for $3500 in 1998. The computerdepreciates at the rate of 18% per year. Whatis its value in 2001?

A $1929.79 B $1890

C $1610 D $4130

E $2870

y 5 100s0.76d2t

y 5 100s1.32dt

y 5 100s0.76dt

y 5 50s0.76dt

y

t3 5121

75

25

225

y 5 50s0.76d2t

y 5 50 2 3s1.1dt

y 5 5 2 3ty 5 7s0.9dt

y 5 5s1.2dty 5 5x 1 6

? .5. Multiple Choice You are in your state’s

high school tennis championship tournament.At the start of the event there are 128participants, and each round eliminates halfof the players. How many players remainafter round 3?

A 64 B 32 C 16

D 8 E 4

6. Multiple Choice You have a large oak treein your yard. If the tree has 10,000 leaves atthe beginning of autumn, and loses 7% eachday until all the leaves are off, how manyleaves remain on the tree after 1 week of leaf loss?

A 4900 B 9300

C 6957 D 6017

E 5000

Quantitative Comparison In Exercises 7–9,evaluate each function. Then choose the statementbelow that is true about the given values of y.

A The value of y in column A is greater.

B The value of y column B is greater.

C The two values of y are equal.


7.

8.

9.


questions that are too difficult for you, and spend no more than a few minutes on

each question.


Column A Column B

y 5 17s25dt

y 5 14s12dt

t 5 2

y 5 5.6s1.5d2ty 5 5.6s23dt

t 5 21

y 5 26s1.2dty 5 26s0.8d2tt 5 1

8.7LESSON

GA QCC: 1, 3

GHSGT: 4, 5, 35

GA QCC: 3, 30

GHSGT: 3, 34, 35



Ch

apter 9

9.1LESSON

Multiple Choice In Exercises 1–4, evaluate theexpression, rounding to the nearest hundredthwhen necessary.

1.

A B C

D E No square roots

2.

A B C

D E No square roots

3.

A B C

D E No square roots

4.

A B C

D E No square roots

5. Multiple Choice Evaluate whenand

A B C

D E Undefined


A B C

D E Undefined


A B C

D E Undefined9.4

8.89.89.0

c 5 23.b 5 26,a 5 5,!b2 2 4ac

2.89

3.1623.464.47

c 5 22.b 5 22,a 5 2,!b2 2 4ac

25.3

5.324.84.8

c 5 4.b 5 23,a 5 2,!b2 2 4ac

±1.12

1.2±1.111.11

±!1.25

20.55

25020.15

2!0.3

212.5

2505, 25

!225

0.9, 20.9

0.920.99, 29

±!0.81

8. Multiple Choice Evaluate when , , and .

A 2.6 B 22.6 C 7.5

D 27.5 E Undefined

9. Multiple Choice Which of the following isan example of a perfect square?

A 782 B 688 C 174

D 482 E 576






10.

11.

12.

c 5 –8b 5 –5a 5 –1!b2 2 4ac




Column A Column B

1.41

!15!1

4

!s–2d2!22

!2

GA QCC: 1, 3, 35

GHSGT: 4, 59.2LESSON

1. Multiple Choice Which quadratic equationis written in standard form?

A

B

C

D

E

2. Multiple Choice Consider the equation. Which statement is correct?

A The equation has exactly one solution.

B The equation has two solutions.

C The equation has three solutions.

D The equation has no real solution.

E The number of solutions cannot be deter-mined.


A B C

D E

4. Multiple Choice Solve .

A B C

D E116

±12

±116

±14

±18

x2 114

512

–23

±49

±23

23

49

9x2 2 4 5 0.

6 2 x2 5 5x

2x 2 x2 5 0

32 2 2x2 5 0

7 2 4x2 1 9 5 0

3x2 1 5x 1 1 5 0

x2 2 9 1 x 5 0






Ch

apte

r 9

5. Multiple Choice An object is dropped froma height of 350 feet. To the nearest hundredthof a second, about how long does it take theobject to hit the ground? Assume there is noair resistance.

A 5.92 sec B 18.28 sec

C 4.68 sec D 1.91 sec

E 4.83 sec

6. Multiple Choice The sales S (in dollars) ofcamping equipment at a small store can bemodeled by where t isthe number of years since 1990. Estimate theyear in which the store’s sales of campingequipment will be $12,800.

A 2001 B 2005 C 1998

D 1999 E 2003

Quantitative Comparison In Exercises 7–10,solve the quadratic equation. Then choose thestatement that is true about the positive value ofx in each solution.

A The positive value of x in column A isgreater.

B The positive value of x in column B isgreater.

C The positive values of x are equal.


7.

8.

9.

10.

S 5 52.6t2 1 6500,

Column A Column B

3x2 2 17 5 235x2 2 18 5 0

2x2 2 7 5 913x2 2 25 5 2

2x2 5 1282x2 1 72 5 0

7x2 5 1755x2 2 125 5 0

GA QCC: 3, 30, 31, 35

GHSGT: 3, 27, 34, 35



Ch

apter 9

9.3LESSON

1. Multiple Choice Which one of the follow-ing is the simplified form of

A B C

D E

2. Multiple Choice Which one of the follow-ing is the simplified form of

A B C

D E

3. Multiple Choice Which one of the follow-

ing is the simplified form of

A B

C D

E

4. Multiple Choice Which one of the follow-

ing is the simplified form of

A B C

D E

5. Multiple Choice Solve writing the answer as a simplified radicalexpression.

A B C

D E ±7!5

5±

5!77

±5!7

±7!5±3.57

7x2 2 9 5 16,

2!56!5

62!15

32!3

!30 ? !183!5

?

2103 !15

215!60253!20

25!203215!15

25!20 ?!10!30

?

3!5012!2

5!223!155

3!18

13!450?

4!128!3

4!33!83!4

!192?



answer.


6. Multiple Choice Find the area of the trian-gle using the formula

A

B

C

D

E

7. Multiple Choice Find the area of a square

whose side measures

A

B

C

D

E

Quantitative Comparison In Exercises 8–11,perform the indicated operation and simplify theresult. Then choose the statement below that istrue about the given numbers.



C The numbers are equal.


8.

9.

10.

11.

925

325

9!5

25!3

35

125!3

!35

.

3!5

5!3

132 !2

15!3 15

3 20

3!15

A 512bh.

Column A Column B

!6 ? !212 !724

4!54

2!3 ? !27

212!18 ? 1

3!12

18!29

3!3!25

? 2!75

23!6 ? 23!18

GA QCC: 35

GHSGT: 349.4LESSON



Ch

apte

r 9

1. Multiple Choice The graph ofis a parabola whose vertex

has an x-coordinate of

A B C

D E

2. Multiple Choice What is the x-coordinate ofthe vertex for the graph of the equation

A B C

D E

3. Multiple Choice What is the x-coordinate ofthe vertex for the graph of the equation

A B C

D E

4. Multiple Choice What is the equation forthe axis of symmetry for the equation

A B C

D E

5. Multiple Choice What is the y-coordinate ofthe vertex for the graph of the equation

A B C

D E

6. Multiple Choice Which one of the follow-ing is the solution of when

A B

C D

E y 5 25

y 5 5y 5 221

y 5 22y 5 21

x 5 22?22x2 1 11x 1 9 5 y

247851

4

414261

4214

y 5 22x2 1 x 2 5?

x 534x 5 3

x 513y 5 3y 5

13

y 5 6x2 2 4x 1 3?

25422

102100

y 514 x2 1 5x 2 10?

018

218222

y 5 2x2 1 4x 2 6?

a2b

2b2a

2a2b

b2a

22ab

? .y 5 ax2 1 bx 1 c




7. Multiple Choice Which of the followingquadratic equations is represented by thegraph?

A

B

C

D

E

Quantitative Comparison In Exercises 8–11,find the vertex of the equation. Then choose thestatement below that is true about the given values.

A The value of x is greater.

B The value of y is greater.



8.

9.

10.

11. y 5 3x2 1 2x 1 1

y 5 x2 2 2x 1 2

y 5 3x2 2 10x

y 5 x2 2 16

y 512 x2 1 3x 2 4

y 5 212 x2 2 3x 2 4

y 5 2x2 2 3x 2 4

y 512 x2 2 3x 2 4

y 5 22x2 2 3x 2 4

y

x121

3

1

212325

GA QCC: 35

GHSGT: 13



Ch

apter 9

9.5LESSON

Quantitative Comparison In Exercises 6–9,solve for the required information. Then choosethe statement below that is true about the giveninformation.

A The value of A is greater.

B The value of B is greater.



6.

7.

8.

9.

10. Multiple Choice Choose the equation of theparabola shown in the graph below.

A

B

C

D

E

11. Multiple Choice Which one of the follow-ing is a solution of

A 0 B C

D E 424

23125

x2 2 x 2 14 5 6?

y 519 x2 2 1

y 5 9x2 1 1

y 519 x2 2 9

y 5 9x2 1 1

y

x3121

3

1

23

23

y 5 9x2 2 1




1. Multiple Choice Use the graph to determinethe roots of the equation.

A 3 and

B 1 and 4

C and 3

D and 3

E 4 and

2. Multiple Choice What are the x-interceptsof the graph of

A 6 and B and 3

C 9 and 2 D and 2

E 4 and 1


A 3 and 2 B and 2

C and D and

E and

4. Multiple Choice What are the solutions of

A 3 and 2 B and 2

C and 2 D and

E and 0

5. Multiple Choice Which one of thefollowing is a solution of

A 0 B 5 C 10

D E 25220

15 x2 5 5?

23

12

13

13

23

x2 1 x 2 6 5 0?

212

13

2122

13

122

13

23

y 5 6x2 2 x 2 1?

29

2623

y 5 x2 2 3x 2 18?

23

12

212

y

x5121

3

1

21

23

23

Column A Column B

The value of xfor the vertex ofx2 2 4x 2 5 5 y

The value of yfor the vertex ofx2 2 4x 2 5 5 y

The value of x for thevertex of 12 x2 5 8

The sum of the rootsof 12 x2 5 8

The sum of the rootsof x2 2 x 2 2 5 0

The sum of the rootsof x2 1 2x 5 15

The value of xfor the vertex of23x2 1 15x 2 5 5 1

The sum ofthe roots of2x2 2 5x 2 3 5 0

GA QCC: 1, 3, 35

GHSGT: 49.6LESSON



Ch

apte

r 9

1. Multiple Choice Choose the correct form ofthe quadratic formula.

A

B

C

D

E

2. Multiple Choice Choose the correct valuesof a, b, and c in the equation

A

B

C

D

E


A B C

D E

4. Multiple Choice Which of the following is asolution of

A 1 B C

D E 2

5. Multiple Choice Which of the following is asolution of

A B C

D E 21235

2253

12

6x2 2 7x 2 5 5 0?

25

522

52

2x2 2 3x 2 5 5 0?

25, 15225, 3

53, 232

52, 35

2, 252

y 5 2x2 2 x 2 15?

c 5 6b 5 21,a 5 5,

c 5 0b 5 21,a 5 5,

c 5 6b 5 0,a 5 5,

c 5 26b 5 21,a 5 25,

c 5 6b 5 1,a 5 5,

5x2 2 x 1 6 5 0.

x 52b±!a2 2 4bc

2a

x 52c±!b2 2 4ac

2b

x 52a±!a2 2 4bc

2a

x 52b±!b2 2 4ac

2a

x 5b±!b2 1 4ac

2a

6. Multiple Choice Which of the following isa solution of

A B 1 C

D E

7. Multiple Choice You drop a rock off abridge 30 feet above the ground into a stream.How long does it take the rock to hit thewater?

A 1.45 sec B 1.88 sec

C 1.50 sec D 2.10 sec

E 1.37 sec

8. Multiple Choice An eagle circling a field ata height of 250 feet sees a rabbit below. Theeagle dives at an initial speed of 110 feet persecond. Estimate the time the rabbit has toescape.

A 1.7 sec B 1.8 sec

C 1.6 sec D 1.9 sec

E 2.0 sec

9. Multi-Step Problem You are on a ski-lift50 feet high. While the lift is stopped to letpeople off, you accidentally knock your keysout of your pocket. They fall off the seattowards the ground.

a. Write a vertical motion model for the pathof the keys.

b. How long will it take for the keys to hitthe ground?

c. Critical Thinking What factors wouldchange the path of the dropped keys?

372

27

72

27

7x2 1 5x 1 8 5 10?



GA QCC: 1, 3

GHSGT: 35



Ch

apter 9

9.7LESSON

1. Multiple Choice What is the discriminant ofthe equation

A 271 B C 289

D E

2. Multiple Choice What is the discriminant ofthe equation

A 36 B 348 C

D E 252

3. Multiple Choice Use the discriminant todetermine the number of solutions for the

equation

A 3 B 1 C 2

D Infinitely many E None

4. Multiple Choice Use the discriminant todetermine the number of solutions for the

equation

A 3 B 1 C 2

D Infinitely many E None

5. Multiple Choice What effect does increas-ing the value of C by 2 have on the number ofsolutions for the graph of

A Increases the number of solutions by 2.

B Decreases the number of solutions by 2.

C Increases the number of solutions by 1.

D Has no effect on the number of solutions.

5x2 2 2x 2 1 5 0?

12 x2 5 8.

3x2 2 7x 2 1 5 0.

2252

2348

23x2 2 12x 1 17 5 8?

22772289

2271

7x2 2 3x 1 10 5 0?6. Multiple Choice What effect does decreas-

ing the value of C by 3 have on the number ofsolutions to the graph of

A Increases the number of solutions by 2

B Decreases the number of solutions by 2

C Increases the number of solutions by 1

D Decreases the number of solutions by 1

E Has no effect on the number of solutions

7. Multiple Choice For the equationthe graph of the equation

would ____? .

A Have one x-intercept

B Have two x-intercepts

C Have no x-intercepts

D Have no y-intercepts

E None of these

Quantitative Comparison In Exercise 8–10,determine the number of solutions for eachequation. Then choose the statement below thatis true about the number of solutions.

A The number of solutions in column Ais greater.

B The number of solutions in column Bis greater.

C The number of solutions is equal.


8.

9.

10.

2x2 2 5x 1 6 5 0,

3x2 1 6x 1 3 5 0?



Column A Column B

y 5 5x2 2 8x 1 3y 5 x2 2 2x 1 1

y 5 25x2 1 10y 512 x2 2 18

y 5 23x2 1 2x 2 6y 5 3x2 2 2x 2 6

GA QCC: 1, 3

GHSGT: 49.8LESSON



Ch

apte

r 9

1. Multiple Choice Which ordered pair is asolution of the inequality

A B C

D E

2. Multiple Choice Which ordered pair is notsolution of the inequality

A B C

D E

3. Multiple Choice Identify the graph of

A B

C D

E y

x93

3

215

29

y

x93

3

29

y

x93

3

215

29

y

x93

3

29

y

x93

3

215

29

y ≥ 5x2 1 14x 2 3.

s21, 6ds1, 5ds1, 8ds0, 22ds22, 35d

y > 8x2 2 2x 2 3?

(0, 0ds22, 18ds3, 7ds1, 28ds2, 23d

y ≤ 3x2 2 5x 2 6?4. Multiple Choice Choose the inequality

which is represented by the graph.

A

B

C

D

E

5. Multiple Choice A volcano is catapultingrocks from its crator. The rocks traveling thefurthest are following a path along

where x and y aremeasured in feet. To be safe from the fallingrocks, you should be standing in the areadefined by which of the inequalities?

A

B

C

D

E None of these

6. Multi-Step Problem A backhoe is digging atrench. On its first sweep, the shovel followsa path modeled by the equation

where x is the length in feetand y is the depth in feet of the hole.

a. What is the deepest point of the hole?

b. What is the length of the hole?

c. Critical Thinking A water line runsperpendicular to the ditch the backhoeis digging. If the line is buried feetdown, did the backhoe hit it on the firstsweep of the shovel? Explain.

312

y 5 x2 2 2x 2 3

y ≤ 2 x2 1 60x 2 80

y < 2 x2 1 60x 2 80

y ≥ 2 x2 1 60x 2 80

y > 2 x2 1 60x 2 80

y 5 2x2 1 60x 2 80,

y < 22x2 2 x 2 4

y < 2x2 2 x 2 4

y ≤ 2x2 2 x 2 4

y ≥ 2x2 2 x 2 4

y

x31

1

25

23

y > 2x2 2 x 2 4


than you used originally to avoid making the same mistake twice.


GA QCC: 1, 3, 7, 8

GHSGT: 4, 33



Ch

apter 1

0

10.1LESSON


1. Multiple Choice Classify the equationby degree and by the

number of terms.

A Quadratic polynomial

B Quadratic binomial

C Cubic binomial

D Cubic trinomial

E Cubic polynomial

2. Multiple Choice Which of the following isequal to

A B C

D E


A

B

C

D

E


A B

C D

E


A

B

C

D

E x3 2 x2 2 9x 1 8

9x3 1 5x2 2 9x 1 1

x3 1 5x2 2 9x 1 1

9x3 2 x2 2 9x 1 8

x3 2 x2 2 5x 2 8

s24x3 1 3x2 1 2x 1 1d?s5x3 1 2x2 2 7x 1 9d 2

7x2 1 18x 1 2

7x2 1 18x 2 14x2 2 2x 2 14

x2 2 2x 1 2x2 1 2x 1 2

s4x2 1 7x 2 6d 2 s3x2 1 9x 2 8d?

5x3 1 6x2 1 17x 1 2

5x3 1 6x2 1 17x 2 14

8x3 1 3x2 1 17x 2 14

8x3 1 10x2 1 10x 1 2

8x3 1 10x2 1 10x 2 14

10x 2 8d?s3x2 1 7x 2 6d 1 s5x3 1 3x2 1

12x4 1 1112x4 2 5

12x212x2 1 512x2 1 11

s7x2 1 3d 1 s5x2 1 8d?

7 1 5x 1 2x3 1 3x26. Multiple Choice You want to fence in a

pool and deck area. Find the expressionwhich correctly determines the amount offencing required to complete the job.

A

B

C

D

E

7. Multi-Step Problem A company is keepingtrack of 3 different divisions. The sales S inthousands of dollars for the first two divisionsand the whole company are modeled below,where t is the number of years since 1998.

Division 1:

Division 2:

Company:

a. Find a model that represents division 3.

b. Predict sales for division 3 in 2000.

c. Critical Thinking Sales are $350,000 oneyear, but division 2 did not contribute.Write an equation in terms of t to modelthis situation.

S 5 34.6t2 1 3.2t 1 213

S 5 13.5t2 2 4.3t 1 75

S 5 12.2t2 1 6.3t 1 65

10x2 1 8x 1 20

5x2 1 6x 1 10

10x2 1 3x 1 10

10x2 1 6x

5x2 1 3x

2x 1 5

2x 2

x 2 10 x 1 102

x 2 102

x 1 52

pool

fence


correct one.

GA QCC: 10

GHSGT: 33, 35


A

B

C

D

E


A

B

C

D

E


A B

C D

E


A B

C D

E


A

B

C

D

E 3x3 1 17x2 2 9x 1 5

3x3 1 13x2 2 9x 1 5

3x3 1 6x2 2 6x 1 6

3x3 1 13x2 2 10x 1 6

3x3 1 13x2 2 10x 1 5

sx 1 5ds3x2 2 2x 1 1d.

x2 2 17x 1 42

x2 2 11x 2 42x2 2 17x 2 42

x2 2 11x 1 42x2 2 17 2 17

sx 2 14dsx 2 3d?

b2 1 10b 2 16

b2 2 6b 1 6b2 2 6b 2 6

b2 1 6b 2 16b2 2 6b 2 16

sb 2 8dsb 1 2d?

24y5 1 10y4 2 12y3

y5 2 7y4 1 4y3

24y6 2 10y4 2 6y3

24y6 1 10y4 2 12y3

4y2 2 10y4 1 12y3

22y3s2y2 2 5y 1 6d?

3x4 1 15x3 1 21x2

23x4 1 15x3 1 21x2

23x4 1 8x3 1 10x2

23x4 1 8x2 1 21x2

8x3 2 3x4 1 21x2

3x2s5x 2 x2 1 7d?6. Multiple Choice Find the product of

A

B

C

D

E

7. Multiple Choice Find the area of theparallelogram by using the formula

A

B

C

D

E

Quantitative Comparison In Exercises 8–10,evaluate the expression for and Then choose the statement below that is trueabout the results.





8.

9.

10.

y 5 23.x 5 2

x2 1 3x 2 2

x2 1 3x 1 2

x3 1 2x2 2 x 1 3

x3 1 6x2 2 6x 1 3

x3 1 5x2 1 5x 2 3

x 1 2x 2 12

x 1 3

A 5 bh.

8x3 1 24x2 2 32x 1 21

8x3 2 4x 2 21

8x3 2 32x 1 21

8x3 2 12x2 2 20x 1 21

8x3 2 24x2 2 32x 1 21

(2x 2 3d.s4x2 1 6x 2 7d



Column A Column B

sy 1 3dsy2 1 2y 1 5ds2x 2 9dsx 2 5ds3y 1 2ds2y 1 5dsx 1 1dsx 2 6d22ys3y2 1 2yd2xsx2 1 3x 1 1d


10.2LESSON


Ch

apte

r 1

0 Standardized Test PracticeFor use with pages 575–580

GA QCC: 8, 10

GHSGT: 33, 35



Ch

apter 1

0

10.3LESSON



A B

C D

E


A B

C D

E

3. Multiple Choice Which of the following isequal to the expression

A B

C D

E

4. Multiple Choice Find the area of the circlebelow.

A

B

C

D

E


A B

C D

E 21x2 1 20x 2 34

21x2 2 3421x2 2 20x 2 34

29x2 2 20x 1 1621x2 2 20x 1 16

s5x 1 3ds5x 2 3d 2 s2x 2 5d2?

A 5 psx2 2 12x 1 36dA 5 psx2 1 12x 1 36dA 5 psx2 2 12x 2 12dA 5 psx2 1 12x 1 12dA 5 psx2 1 6d

x 2 6

sHint: A 5 p r2.d

s5x 2 7ds5x 1 7ds5x 2 7d2(7x 2 5d2

s5x 1 7d2s7x 1 5d2

25x2 2 70x 1 49?

4x2 2 10x 1 9

4x2 2 12x 2 94x2 2 9

4x2 2 12x 1 94x2 1 9

s2x 2 3d2?

x2 1 6x 1 9

x2 2 6x 2 9x2 2 9

x2 2 6x 1 9x2 1 9

(x 1 3d2?6. Multiple Choice Which of the following

represents the area of the figure shown?

A

B

C

D

E

Quantitative Comparison In Exercises 7–9,evaluate the expression for the given values. Thenchoose the statement below that is true about theresults.





7.

8.

9.

4x 1 8

4x2 1 8x 2 16

4x2 2 16x 1 16

4x2 1 16x 1 16

4x2 2 16

4

4

x

x

x

x


Column A Column B

whenx 5 3sx 1 2d2 when

y 5 3(y 2 2d2

whenand b 5 24a 5 8

(a 2 bd2 whenand b 5 24a 5 8

(a 1 bd2

when andb 5 24

a 5 5(a 2 bdsa 1 bd when

and b 5 24a 5 5(a2 2 b2d2

GA QCC: 1, 3, 35

GHSGT: 4, 38

1. Multiple Choice Which of the following isone of the solutions of the equation

A B C

D E

2. Multiple Choice Choose the solutions of theequation

A B C

D E

3. Multiple Choice Which of the following aresolutions of the equation

A B C

D E

4. Multiple Choice Choose the solutions of theequation

A B

C D

E

5. Multiple Choice Choose the equationwhose graph is shown.

A

B

C

D

E y 5 sx 2 3dsx 2 2dy 5 sx 2 3d2

y 5 sx 2 3dsx 1 2dy 5 sx 2 2dsx 1 3dy 5 sx 1 2dsx 1 3d

2 626 x

y6

2

3, 26, 227

213, 6, 72

13, 26, 27

2

3, 26, 2713, 6, 72

s3x 2 1dsx 1 6ds2x 1 7d 5 0.

525, 22

5

25

52, 25

252

s2x 2 5d2 5 0?

21, 431, 43

1, 24321, 341, 23

4

s4x 2 3dsx 1 1d 5 0.

338

0238

sx 2 3dsx 1 8d 5 0?

6. Multiple Choice What are the coordinatesof the vertex of the graph of

A B

C D

E

7. Multiple Choice What are the coordinatesof the vertex of the graph of

A B

C D

E

8. Multi-Step Problem A dome tent’s arch ismodeled by where x and y are measured in feet.

a. How wide is the tent at the base?

b. How high is the tent at its highest point?

c. Critical Thinking The base of the tentis a square. Each person requires 18square feet to sleep comfortably. If yourequire an area of 25 square feet to storegear and supplies, how many people cansleep in the tent?

y 5 20.18sx 2 6dsx 1 6d,

(2, 25ds3, 27ds7

4, 918d

s7, 23ds0, 21dy 5 s22x 1 1dsx 2 3d?

s4, 212d

s74, 2101

8ds243, 281

3ds5

3, 2813ds24, 12d

y 5 sx 2 4ds2x 1 1d?



answer.


10.4LESSON


Ch

apte

r 1


GA QCC: 1, 3, 14, 35

GHSGT: 4, 38



Ch

apter 1

0

10.5LESSON


1. Multiple Choice Which of the following isa correct factorization of

A B

C D

E Cannot be factored


A B

C D



A B

C D


4. Multiple Choice Use factoring to solve theequation

A B C

D E Cannot be factored


A B

C D



A B

C D


29, 2429, 4

9, 49, 24

x2 1 13x 1 12 5 224.

24, 124, 212

6, 86, 28

x2 1 2x 2 20 5 28.

7, 23

27, 37, 327, 23

x2 1 4x 5 21.

sx 2 3dsx 2 3dsx 2 9dsx 2 1dsx 1 9dsx 2 1dsx 2 9dsx 1 1d

x2 1 10x 2 9?


x2 2 5x 1 6?


x2 1 4x 2 12?7. Multiple Choice The area of a rectangle is

given by Use factoring to findexpressions for the dimensions of the rectangle.

A B

C D


8. Multiple Choice The area of a rectangle is48. If the length is 8 less than its width, whatis its width?

A B C

D E

Quantitative Comparison In Exercises 9–12,solve the equation by factoring and add thesolutions. Then choose the statement that is trueabout the values.





9.

10.

11.

12.

98

1246

x 2 7, x 1 3x 2 21, x 1 1

x 1 7, x 2 3x 2 7, x 2 3

x2 2 4x 2 21.



Column A Column B

x2 5 225x2 2 4x 2 12 5 0

x2 2 4x 2 22 5 0x2 2 4x 1 10 5 28

x2 1 5x 2 36 5 0x2 2 2x 2 20 5 28

x2 1 5x 1 6 5 0x2 2 3x 2 14 5 14

GA QCC: 1, 3, 14, 35

GHSGT: 4, 38


A

B

C

D

E


A

B

C

D

E


A

B

C

D

E

4. Multiple Choice Which of the following isa solution of the equation

A B C

D E

5. Multiple Choice Which of the following isa solution of the equation

A B C

D E 214

56

54

45

16

24x2 1 26x 5 5?

1522

27

67

522

52

14x2 2 23x 2 30 5 0?

s9x 2 4ds3x 2 10ds3x 2 4ds9x 2 10ds3x 2 5ds9x 2 8ds9x 2 5ds3x 2 8ds3x 2 5ds9x 1 8d

27x2 2 69x 1 40?

s7x 2 4ds3x 1 1ds7x 2 2ds3x 1 2ds7x 1 2ds3x 2 2ds7x 2 2ds3x 2 2ds21x 2 4dsx 1 1d

21x2 1 8x 2 4?

s10x 1 1dsx 1 6ds10x 1 6dsx 1 1ds5x 2 3ds2x 1 2ds5x 1 2ds2x 1 3ds2x 1 2ds5x 1 3d

10x2 1 19x 1 6?6. Multiple Choice Which one of the follow-

ing equations cannot be solved by factoringwith integer coefficients?

A

B

C

D

E

7. Multiple Choice Multiply each side ofan appropriate

power of ten to obtain integer coefficients.Then solve the equation by factoring.

A B

C D

E

8. Multiple Choice The area of a circle isgiven by Theradius of the circle is ____? .

A B

C D

E

9. Multi-Step Problem A diver jumps off a 20foot high diving board with an initial upwardvelocity of 4 feet per second. Use the verticalmotion model

a. Use the information above to model thevertical motion of the diver.

b. Find the solutions by factoring the modelyou found in part (a).

c. Critical Thinking Explain why only oneof the solutions is reasonable.

n 5 216t2 1 vt 1 s.

22x 1 7

2x 1 77x 1 2

7x 2 22x 2 7

A 5 ps4x2 1 28x 1 49d.

211, 27

3

2211, 7312 7

11, 23

711, 22

3711, 23

0.33x2 1 0.71x 2 0.14 5 0

6x2 1 14 5 31x

15x2 5 12 2 8x

10x2 1 9x 1 3 5 0

16x2 2 26x 5 23

6x2 1 5x 2 6 5 0

TEST TAKING STRATEGY As soon as the test begins, start working. Keep moving



10.6LESSON


Ch

apte

r 1


GA QCC: 1, 3, 14, 35

GHSGT: 4, 38



Ch

apter 1

0

10.7LESSON


1. Multiple Choice Which of the following isa factorization of

A B

C D

E


A B

C D

E


A B

C D



A

B

C

D



A B

C

D



A B C

D E Cannot be factored7

12140

2x2 2 98 5 0?

23s5x 1 1d2

s15x 2 3ds25x 2 1d23s5x 2 1d223s5x 1 1ds5x 2 1d

275x2 2 30x 2 3?

5s2x 1 5d2

5s2x 2 5ds2x 1 5d5s2x 2 5d2

5s2x 2 10ds2x 1 10d20x2 2 125?

s6x 2 7d22s9x 1 3ds2x 1 4ds6x 1 7d2s6x 2 7ds6x 1 7d

36x2 1 84x 1 49?

s5x 1 16ds5x 1 1ds5x 1 4d2s5x 2 16ds5x 2 1ds5x 2 4d2s5x 2 4ds5x 1 4d

25x2 2 16?

2sx 1 4dsx 2 4dsx 2 8d22sx 2 4dsx 2 4dsx 1 8d2sx 1 8dsx 2 8d

x2 2 16x 1 64?7. Multiple Choice Which of the following is

a solution of

A B C

D E

8. Multiple Choice An object is propelledfrom the ground with an initial upward veloc-ity of 80 feet per second. How long does ittake to reach a height of 100 feet?A 1.9 sec B 2.6 sec

C 1.8 sec D 2.1 sec

E 2.5 sec

9. Multiple Choice Determine the diameter Dnecessary for a wire rope to lift a 10.24 tonload safely.A 4 inches B 1.6 inches

C 1.8 inches D 2 inches

E 6.4 inches

Quantitative Comparison In Exercises 10 and11, solve the equation by factoring and add thesolutions. Then choose the statement that is trueabout the values.





10.

11.

32

23

223

162

16

4x2 143 x 1

19 5 0?



Column A Column BThe solution ofx2 2 16 5 0

The solution of9x2 2 25 5 0

The solution of36x2 2 16 5 0

The solution ofx2 2 10x 1 25 5 0

GA QCC: 1, 3, 13, 14

GHSGT: 4, 38

1. Multiple Choice What is the greatest com-mon factor of ?

A B C

D E

2. Multiple Choice Find the greatest commonfactor and factor it out of

A

B

C

D

E None of these

3. Multiple Choice Factor by grouping.

A

B

C

D

E

4. Multiple Choice Factor

A

B

C

D

E

5. Multiple Choice Factor

A

B

C

D

E None of these

s2x 2 yds2x 2 1ds2x 2 ydsx 1 2ds2x 1 ydsx 2 2ds2x 2 ydsx 2 2d

2x2 2 xy 1 4x 2 2y.

sx 1 3dsx2 2 3x 1 9dsx 2 3dsx2 1 3x 1 9dsx 2 3dsx2 2 3x 1 9dsx 2 3dsx2 1 3x 1 9dsx 2 3dsx2 1 3x 1 3d

x3 2 27.

x2sx 1 1dsx 1 1d2

x2sx 1 1dsx 1 1d2

sx 1 1dsx 1 1dsx 1 1dsx2 1 1d

x3 1 x2 1 x 1 1

a2s4a 2 1 1 4d2a2s2a 2 1 1 4d2s2a3 2 a2 1 4d2s2a3 2 2a2 1 4d

4a3 2 2a2 1 8.

3xz3x

3x23x2zxz

3x2yz 1 12xz6. Multiple Choice Solve .

A 0, 2, 4 B 0, 2

C 22, 2 D 22, 0, 2

E None of these

7. Multi-Step Problem An object is droppedfrom a height of 128 feet. It’s height is givenby .

a. How long does it take to reach halfway tothe ground?

b. How long does it take to reach theground?

h 5 –16t 2 1 128

8x 2 2x3 5 0



10.8LESSON


Ch

apte

r 1


GA QCC: 1, 3, 27, 28

GHSGT: 24, 38, 39



Ch

apter 1

1



answer.


11.1LESSON

1. Multiple Choice What are the means of theproportion A 5 and 8 B 5 and 16

C 5 and 10 D 8 and 16

E 8 and 10

2. Multiple Choice Which of the following is

the solution of

A B C

D E


the solution of

A 2 B C 8

D E 9


the solution of

A 25 B 50 C 4.5

D 10 E 20


the solution of

A B 6 C

D E 7

6. Multiple Choice Which of the following is a

solution of

A 3 B C 6

D 2 E 4

26

23y 2 3

5y

26?

225

2625

x 2 210

5x

15?

2x5

540x

?

18

12

43x

51421

?

1 11631

2

334

41562

3

516

5x

12?

58 5

1016?

7. Multiple Choice You are looking at a mapto see how much further it is to your destina-tion. The distance on the map is 1.6 inches. If

the map has a scale of 1 mile is of an inch,how much further do you have to go?

A 51.2 miles B 15.6 miles

C 23.4 miles D 20.0 miles

E 57.5 miles

8. Multiple Choice Rangers caught andbanded 50 golden eagles at a wildlife reserve.Later, the researchers caught 200 goldeneagles, 17 of which had bands. Estimate thetotal golden eagle population at the reserve.

A 500 B 526 C 350

D 588 E 376

Quantitative Comparison In Exercises 9–11,solve the proportion. Then choose the statementbelow that is true about the given number.



C The two values are equal


9.

10.

11.

132

Column A Column B

3x

51012

2x 1 114

579

x 1 715

5x6

x 1 23

51x

x 1 210

5x

x 1 3x 2 3

x5

62x 1 5

GA QCC: 1, 3, 6

GHSGT: 4, 3611.2LESSON



Ch

apte

r 1

1

1. Multiple Choice Which of the followedequations models inverse variation?

A B

C D

E

2. Multiple Choice Which of the followingequations models direct variation when and A B

C D

E

3. Multiple Choice The variables x and y varyinversely. When x is 15,y is 40. If x is 5, theny is A 13.3 B 115 C 20

D 120 E 3000

4. Multiple Choice The area of a rectangle is15 square inches. Which equation shows thecorrect relationship of length to width?

A B

C D

E

5. Multiple Choice Which of the followingwould not be an example of inverse variation?A The hours h you must work to earn $500

and your hourly pay p.

B The base b and height h of a triangle ifthe area is 15 square inches.

C The time t it takes to drive 30 miles andyour rate r.

D The rectangle’s length l and the area h ifthe width is 5 inches.

E None of these

y 5 15 1 x

y 515x

y 5 15 2 x

y 5 15xy 5x

15

_____? .

y 5x

147

y 513 xy 5

147x

y 5 23xy 5 3x

y 5 21?x 5 7

xy 5 8

y 5 8 2 xy 5 x 1 8

y 5 8xy 518 x

6. Multiple Choice Choose the type ofvariation and the equation that represents thegraph.

A Inverse;

B Inverse;

C Direct;

D Direct;

E None of these

7. Multiple Choice The variables x and y varyinversely. When x is y is 18. If y is 6,then x is A B 1 C

D 9 E 3

8. Multi-Step Problem You would like to buya new mountain bike that costs $1200.a. Make a table of possible values of the

hours worked h and pay rate p to earn$1200. Sketch a graph.

b. Does the model represent direct orinverse variation? Explain.

c. Critical Thinking Your friend is lookingat a bike that costs $800. How does themodel for this situation relate to themodel for your situation?

2921____? .

23,

y 510x

y 5 10x

y 510x

y 5 10x

2

2

6

10

6 10 x

y




GA QCC: 25

GHSGT: 33



Ch

apter 1

1

1. Multiple Choice What is the simplified

form of the expression

A B C

D E



A B C

D E



A B C

D E

4. Multiple Choice Which values of the vari-able create an undefined expression for

A 2 B 2, C 3

D E

5. Multiple Choice Which values of thevariable create an undefined expression for

A 5, B C 0,

D 0, 5, E



A B C

D Ex 2 6

sx 1 6dsx 2 4d21

x 2 2

2x 2 2x 2 4

x 1 2x 2 4

24x 2 12

2x2 2 8x 2 12x2 1 2x 2 24

?

0, 25, 12212

2525, 12212

2x 1 12x3 2 9x2 2 5x

?

2222, 3

23

12x2 2 x 2 6

?

x2 1 42sx 1 2dsx 2 2d

x2

12x3 2 2

12

xx 1 2

2x3 1 8x4x3 2 16x

?

x 2 1sx 1 6ds2x 1 3d

3s2x 1 3dx 1 6

3sx 2 1dx 1 6

x 2 1x 1 6

x 2 315x 1 18

6x2 1 3x 2 96x2 1 45x 1 54

?

x 1 3sx 1 7dsx 1 2d

3xx 1 7

3x 1 2

x 1 2x 1 7

3x 1 7

3x2 1 6xx2 1 9x 1 14

?

7. Multiple Choice Which ratio represents theratio of the area of the smaller rectangle tothe area of the larger rectangle?

A B

C D

E

Quantitative Comparison In Exercises 8–10,simplify the expression and evaluate it for

Then choose the statementbelow that is true about the given values.



C The two values are equal


8.

9.

10.

x 5 3 and y 5 22.

xsx 1 3dsx 1 1d

x 1 33xsx 1 1d

x2

x2 1 4x 1 3

13sx 1 1d

xx 1 1

xx 1 3 3x

x2 1 4x 1 3

11.3LESSON




Column A Column B

5xx2 1 6x

7y2

14y 2 7y2

x2 2 4x2 1 4x 1 4

y2 1 9y2 1 6y 1 9

2x 2 6x2 2 x 2 6

y3 1 2y2

y4 2 3y3 2 2y2

GA QCC: 1, 3, 25, 26

GHSGT: 4, 33


11.4LESSON


Ch

apte

r 1

1



A B C

D E

2. Multiple Choice Which product equals the

quotient

A

B

C

D

E

3. Multiple Choice What is the simplifiedform of the expression

A B

C D

E



A B

C D

E6x2 2 1

x2 1 5x 2 1

x 1 17sx 1 6d

x 1 67sx 1 1d

7xsx 1 1dx 1 6

x 2 17xsx 1 6d

x2 2 1x2 1 6x

4x 2 1

7x2 ?

x 1 3sx 2 2ds2x 1 6d

2x 1 52sx 1 3d

x 1 32sx 2 2d

12x 1 5

12sx 2 2d

x 1 32x2 1 x 2 10

?2x 1 52x 1 6

?

5x2 2 1x 2 1

?x2 1 4x 2 1

1s5x 2 1d ?

x 1 1x2 1 4

s5x 2 1d1

?x2 1 4x 2 1

s5x 2 1d1

?x 2 1x2 1 4

1s5x 2 1d ?

x2 1 4x 1 1

s5x 2 1d 4x2 1 4x 2 1

?

3x2

43x3

4x

x3

4x2

23x3

4

5x3

7x2 ?21x2

20x?


A B

C D

E


A B

C D

E

7. Multi-Step Problem A local truckingcompany kept data on its company from1995–1998 and developed the followingmodels, where t is the number of yearssince 1995.

Number of miles driven:

Number of employees:

a. Find a model for the average number ofmiles driven per employee.

b. Use the model to predict the averagenumber of miles driven in 2002. Roundyour answer to the nearest hundred miles.

c. Use the model to predict the averagenumber miles driven in 2004. Round youranswer to the nearest hundred miles.

d. Writing Compare the answers to parts (b)and (c). What is the trend? Can thiscontinue indefinitely?

E 520 1 5t

1 1 0.02t

M 52,000,000 1 23,000t

1 2 0.03t

x 1 13x2

2s5x 1 1d3x2

2sx 1 1d3x2

2x3s5x 1 1d

xsx 1 1d5x 1 1

1 x2

5x 1 1?

sx 1 1d3x3 2 4

x10x 1 2

?

sx 1 6ds5x 2 7d2

x 1 7

x 1 6x 1 7

5x 2 7x 1 6

x 1 7x 1 6

x 1 7sx 1 6ds5x 2 7d

5x2 1 23x 2 42x 1 7

4 s5x 2 7d?



GA QCC: 25, 26

GHSGT: 33



Ch

apter 1

1


A B

C D

E


.

A B

C D 2x

E None of these


.

A 1 B 3

C D

E


.

A B

C D

E None of these

x 1 4x 1 2

x 1 2x 1 1

5x 1 43x 1 2

x2 1 5x 1 4x2 1 3x 1 2

x2 2 2x2 1 3x 1 2

15x 1 6

x2 1 3x 1 2

7x 1 33x 2 1

6x 2 33x 2 1

7x 2 33x 2 1

x3x 2 1

23 2 8x3x 2 1

23x

2x3x

23

2x3x

2x

3x

42x2 1 12x4x 1 3

13x 1 24x 1 3

13x 1 28x 1 6

x 1 24x 1 3

x 1 2

7x 1 24x 1 3

16x

4x 1 3.


.

A B

C D 21

E

Quantitative Comparison In Exercises 6–8,evaluate the expression for the given value of x.Then choose the statement below that is trueabout the result.





6.

7.

8.

1 2 2x

11 2 2x

1 2 2x2x 2 1

1 2 2xs2x 2 1d2

1s2x 2 1d2 2

2xs2x 2 1d2

11.5LESSON


correct one.


Column A Column B

for x 5 2

1x 1 1

1x

x 1 1

for x 5 2

1x 2 1

1x

x 2 1

for y 5 0

y2 2 2y 2 1

11

y 2 1

for y 5 0

y2 2 3y 1 3y 2 2

2y 2 1y 2 2

for y 5 1

y2 2 2y 2 1

11

y 2 1

for y 5 2

y2 2 3y 1 3y 2 2

2y 2 1y 2 2

GA QCC: 1, 3, 25, 26

GHSGT: 4, 33


11.6LESSON


Ch

apte

r 1

1

1. Multiple Choice What is the LCD of ,

, ?

A B

C D

E

2. Multiple Choice Find the LCD of

and

A B

C D

E


A B

C D

E


A B

C D

E2x 1 1

sx 1 5dsx 2 1d

2x2 2 2x 1 16sx 1 5dsx 2 1d

3x2 1 15x 2 1x 1 5

2x2 1 17x 2 1sx 1 5dsx 2 1d

3x2 1 15xx 1 5

3xx 2 1

2x 2 1x 1 5

.

8x 1 17

sx 1 2d2sx 1 3d2

8x 1 17sx 1 2dsx 1 3d

x 1 8x 1 3

x 1 8sx 1 2dsx 1 3d

7x 1 7sx 1 2dsx 1 3d

2x 1 2

15

x 1 31

x 1 1x2 1 5x 1 6

.

sx 1 2dsx 2 3d2

sx 2 2ds3x 1 1dxs3x 1 1d

sx 2 3dsx 2 3dsx 1 2dsx 2 3d

3x 1 1x2 2 6x 1 9

.x

x2 2 x 2 6

5abs2 1 ad10a2b7a2b

7 1 a2b5a2b 1 2

1 1 a2 1 a

ab

15a

5. Multiple Choice Which expressionrepresents the perimeter of the triangle?

A

B

C

D

E

6. Multi-Step Problem A plane is traveling1200 miles between two cities. Its speed withno wind is represented by x miles per hour.On a trip, traveling with the wind, the windspeed is 25 miles per hour. On the return trip,traveling against the wind, the wind speedincreases to 30 miles per hour.

a. Write an expression for the total time forthe round trip.

b. Simplify the expression from part (a).

c. How long will the trip take, both ways, ifthe plane travels 200 miles per hour?

d. Critical Thinking A smaller plane canonly travel 100 miles per hour. Comparethe travel time of the planes. Did you getthe result you expected? Explain.

4x2 1 42x 1 68s3x 2 2d2sx 1 7d

13x2 1 44x 1 70sx 1 7ds3x 2 2d

13x2 1 14x 1 25s3x 2 2dsx 1 7d

4x2 1 42x 1 68s3x 2 2dsx 1 7d

13x2 1 32x 1 70s3x 2 2dsx 1 7d

2x 1 53x 2 2

3xx 1 7

2x 1 53x 2 2


correct one.


GA QCC: 1, 3, 27

GHSGT: 4, 38



Ch

apter 1

1

1. Multiple Choice What is the solution of

A B C 3

D E

2. Multiple Choice What is a solution of

A about 7.1 B about 5.6

C about D about

E about 2.9

3. Multiple Choice You have a batting averageof 0.200 after 90 times at bat. You would liketo raise your average to 0.250. Whichequation would you use to calculate thenumber of consecutive hits you need toachieve your goal?

A B

C D

E

4. Multiple Choice Two hoses are filling aswimming pool. The first hose can fill thepool in 30 minutes, the second in 45 minutes.If both hoses are used, how long will it taketo fill the pool?A 15 minutes B 16 minutes

C 18 minutes D 20 minutes

E 22 minutes

5. Multiple Choice Which value is not in the

domain of

A B C 0

D 6 E 5

2625

y 51

x 2 51 6?

0.05 5x

18

0.20 5x 2 18

900.20 5

18 1 x90 1 x

0.25 518 1 x

900.25 5

18 1 x90 1 x

24.425.6

12x 1 2

1 2 53x

x2 2 3x 2 10?

35

215

23235

x 1 15

52x15

?

6. Multiple Choice What is the solution of

?

A 21 B 7 C 5

D 25 E 27

Quantitative Comparison In Exercises 7–9,solve the equation. Then choose the statementbelow that is true about the solution.





7.

8.

9.

xx 1 1

5 2 15

x 1 1

11.7LESSON




Column A Column B

52x 2 1

51x

xx 1 1

512

1x

112

55x

1x 1 2

212

5 2

1y 2 5

23

y 1 55 0

23 2 y

55

2y 1 1

GA QCC: 1, 3, 30

GHSGT: 4, 35



Ch

apte

r 1

2

1. Multiple Choice What is the domain of thefunction A B C

D E

2. Multiple Choice Which quadrants of thecoordinate plane will contain the graph of

A Quadrant I B Quadrant III

C Quadrant IV D Quadrant I and IV

E Quadrant III and IV

3. Multiple Choice What are the domain andthe range of the function A Domain: Range:

B Domain: Range:

C Domain: Range:

D Domain: Range:

E Domain: Range:

4. Multiple Choice What is the equation of thegraph of the function shown?

A B

C D

E y 5 !x 2 2

y 5 !2x 2 2y 5 !x 1 2

y 5 !x 2 2y 5 !2x 2 2

y

x3 521

3

1

21

23

y ≥ 5x ≥ 2

y ≥ 0x ≥ 22

y ≥ 22x ≥ 5

y ≥ 25x ≥ 2

y ≥ 0x ≥ 0y 5 !x 2 2 2 5?

y 5 !2x 2 4?

x ≥ 0x ≤ 6

x ≥ 6x ≤ 26x ≥ 26y 5 5 1 !x 1 6?

5. Multiple Choice What is the walking speedof an animal with a leg length of 3 feet. Thewalking speed model is where

A about 4.8 B about 3.3

C about 9.8 D about 5.9

E about 6.6

6. Multiple Choice What is the radius of acylindrical container with a volume of 196.25cubic inches. The height is 10 inches.

A about 2.2 inchesB about 10.3 inches

C about 2.5 inchesD about 13.5 inches

E about 12.8 inches

Quantitive Comparison In Exercises 7–9,evaluate each the square root function for thegiven values of x, then choose the statement thatis true about the given numbers.





7.

8.

9.

sHint: V 5 pr2h.d

ftysec

ftysecftysec

ftysecftysec

g 5 32 ftysec2s 5 !gL,


than you used originally, to avoid making the same mistake twice.


12.1LESSON

Column A Column BWhen

When

When x 5 5

x 5 22

x 5 3

x 5

y 513!3x 2 1 y 5 !6 2 2x

y 5 !6 2 5x y 5 !4x2 1 9

y 5!x4

2 1 y 5!x3

1 1

GA QCC: 1, 3, 30, 31,35

GHSGT: 3, 33



Ch

apter 1

2


A B C

D E 20


A B C 2

D E None of these


A B

C D

E

4. Multiple Choice Solve the quadraticequation

A B

C D

E5 ± !31

2

25 ± !172

5 ± !172

5 ± !332

25 ± !332

x2 2 5x 2 2 5 0.

8 1 2!7

72 2 18!79

72 2 18!79

72 2 18!772 1 18!7

184 2 !7

.

!22

!22!2

1!2

.

8!5

20!55!812!2

!500 2 !180 1 !80.5. Multiple Choice Find the area of the triangle

below.

A

B

C

D

E

6. Multiple Choice The area of a rectangle isIf the length of one side is

what is the length of the other side?

A B

C D

E

Quantitative Comparison In Exercises 7–9,simplify the expression. Then choose the state-ment below that is true about the given number.





7.

8.

9.

7 2 3!3

7 1 3!313 2 3!3

7 1 7!313 1 3!3

2 1 !3,5 1 !3.

24!4 1 3!28 1 11!21 1 33

2!39 1 11!21 1 7!6 1 33

14!3 1 11!21 1 6!7 1 33

7!6 1 11!21 1 6!7 1 33

14!3 1 17!7 1 33

21 1 6

28 1 11

2




12.2LESSON

Column A Column B

s2 1 !6ds2 2 !6d 2!3 ? !12

!75 2 !27 !72 2 !18

3!5

?2!15

3

!123

?!18!2

GA QCC: 1, 3, 33, 34

GHSGT: 35



Ch

apte

r 1

2C

hap

ter

12

1. Multiple Choice Which of the following isa solution of A 15 B 30 C 5.5

D 225 E 230

2. Multiple Choice Which of the following isa solution of A 118 B 62 C 59

D 32 E 31


A B C

D E

4. Multiple Choice Which of the following isa solution of A 8 B 4 C

D 8, 4 E 8,

5. Multiple Choice Which of the following isa solution of A 6 B 8 C

D E

6. Multiple Choice Which of the following isa solution of ?

A 2 B 22 C 3

D 23 E 0

7. Multiple Choice Which of the following isa solution of ?

A 23, 1 B 21 C 3

D 3, 21 E 1

!2x 1 3 5 x

!5 2 2x 2 1 5 0

2826

224x 5 !2x 1 48?

24

24x 5 !4x 1 32?

32

53

35

52

25

3 2 !2x 2 1 5 5?

!2x 1 3 2 3 5 8?

!x 2 5 5 10?8. Multiple Choice What is the value of x in

the triangle below whose area is 26?A 1

B 2

C 3

D 4

E 5

9. Multiple Choice The square root of theproduct of two positive numbers is 6. Onenumber is 9 less than the other. What are thenumbers?A 4, 8 B 3, 12 C 3, 6

D 6, 12 E 6, 8

Quantitative Comparison In Exercises 10–12,choose the statement below that is true about thegiven quantities.





10.

11.

12.

2x 1 8

13




12.3LESSON

Column A Column B

The solution of

!–x 5 –1

The solution of!x 5 1

The solution of!x 1 5 5 3.

The solution of!x 1 5 5 3.

The solution of

!x 1 1 5 1

The solution of

!x 2 1 5 –1

GA QCC: 1, 3

GHSGT: 33



Ch

apter 1

2

12.4LESSON

1. Multiple Choice Rewrite the expression using radical notation.

A B C

D E

2. Multiple Choice Evaluate without usinga calculator.

A 2 B 4 C 8

D 16 E 32

3. Multiple Choice Evaluate withoutusing a calculator.

A 20.25 B 49 C 54

D 81 E 144

4. Multiple Choice Evaluate withoutusing a calculator.

A 27 B 60.75 C 9

D 18 E 54

5. Multiple Choice Rewrite the expressionusing rational exponent notation.

A B C

D E

6. Multiple Choice Simplify .

A B C

D E 5985

732

257

3225985

23

578 ? 5

14

7454

75

4575

745

47

s4!5 d7

8134

s3!27 d4

432

s!2 d2s2!2 d5

s5!5 d25!5s!5 d5

525 7. Multiple Choice Simplify .

A B C

D 4 E


A B C

D E

Quantitative Comparison In Exercises 9–11,evaluate the expression. Then choose the state-ment below that is true about the given numbers.



C The values are equal.


9.

10.

11.

x3130x

415

x830x

917x

116

sx13 ? x

15d

12

1214

121312

1812

16

s1212d

14

TEST TAKING STRATEGY Check your work if you have time, but do not change your

answers unless you are sure they are wrong.


Column A Column B

932 8

43

1142

52 11

9232

8134 125

23

GA QCC: 1, 3, 35

GHSGT: 35



Ch

apte

r 1

2

12.5LESSON

1. Multiple Choice What term should beadded to so that the result is aperfect square trinomial?A 9 B 162 C 42

D 81 E 36

2. Multiple Choice What term should beadded to so that the result is a perfectsquare trinomial?

A B C

D E

3. Multiple Choice Solve bycompleting the square, then choose the solution.

A B

C D

E None of these

4. Multiple Choice Solve by completing the square.

A B

C D

E

5. Multiple Choice Solve using the most appropriate method.

A B C

D E

6. Multiple Choice Solve the equationusing the most

appropriate method.

A B C

D E 210, 5310, 53

25, 3225, 23223, 5

5 03x2 1 13x 2 10

0, 231, 13

0, 130, 30, 213

15x 2 45x2 5 0

12 ± !43

7 ± !426 ± !42

6 ± !437 ± !43

x2 2 12x 2 7 5 0

218

±!129

814

±!129

8

18

±!129

818

±!130

8

4x2 2 x 2 8 5 0

235

125

925

14425

35

x2 265 x

x2 1 18x7. Multiple Choice The area of a triangle is 90

square inches. The base is 8 inches less than3 times the height. What is the measurementof the height?A 6.5 inches B 7.0 inches

C 8.2 inches D 9.2 inches

E 4.3 inches

8. Multiple Choice Solve using the most appropriate method.

A B

C D

E

Quantitative Comparison In Exercises 9–11,find the term that should be added to theexpression to create a perfect square trinomial.Then choose the statement below that is trueabout the added term.

A The added term in column A is greater.

B The added term in column B is greater.

C The two added terms are equal.


9.

10.

11.

7 ± 2!15

27 ± 3!527 ± 2!5

27 ± 3!107 ± 6!10

x2 2 14x 2 11 5 0


questions that are too difficult for you, and spend no more than a few minutes on

each question.


Column A Column B

x2 1 13x x2 2 13x

x2 135 x x2 2

47 x

x2 1 3.2x x2 1175 x

GA QCC: 1, 3, 32

GHSGT: 4, 32



Ch

apter 1

2

12.6LESSON

1. Multiple Choice What is the length of themissing side of the triangle?

A B

C D

E


A B

C D

E

3. Multiple Choice A right triangle has oneleg that is 5 inches longer than the other leg.The hypotenuse is 25. Find the length of theshorter leg.A 10 B 15 C 17

D 20 E 13

4. Multiple Choice A right triangle has oneleg that is twice the other leg. If thehypotenuse is find the length of thelonger leg.A 8 B 16 C 4

D 32 E 12

8!5,

5!11

3!511!5

7!25!3

5 7

10

x

3!4

4!33!6

3 2

6x

18!26!3

5. Multiple Choice Which lengths belowwould form a right triangle?A 1, 3, 5 B 1.2, 2.4, 6.1

C 6, 9, 10 D

E None of these

6. Multiple Choice A rectangular pool is13 feet by 25 feet. What is the diagonallength from corner to corner?A about 29.5 B about 27 ft

C about 27.5 D about 28.5

E about 28 ft

7. Multiple Choice The area of a square is 64 square feet. What is the length of its diagonal?

A 8 feet B feet

C feet D feet

E feet

8. Multiple Choice The diagonal of a square isfeet. What is its area?

A 5 B

C D

E

9. Mulit-Step Problem Two planes leave fromthe Philadelphia airport at the same time. Oneflies due south. The other flies southwest at arate that is 30 miles per hour less than twicethe rate of the plane headed south. After onehour, measuring east to west, the planes are200 miles apart.

a. Let x represent the plane headed South.Write an expression for each plane’sdistance after one hour.

b. Draw a diagram of the situation.

c. Use the Pythagorean theorem to find thespeed of each plane.

d. Writing Which method did you use tosolve the quadratic equation? Why?

50 ft2

25 ft215 ft2

10 ft2ft2

5!2

5!6

8!29!2

8!3

2!5, 4, 6




GA QCC: 1, 3, 32

GHSGT: 4, 32, 35



Ch

apte

r 1

2

12.7LESSON

1. Multiple Choice What is the distancebetween and

A B C

D E


A B 13 C

D 5 E

3. Multiple Choice What is the distancebetween between points A and B?

A B 3 C

D E

4. Multiple Choice The vertices of a righttriangle are and Whatis the length of the hypotenuse?

A 8 B 4 C

D E 5

5. Multiple Choice The vertices of a righttriangle are and What is the length of the hypotenuse?

A 4 B 7 C

D E 3!5!13

!65

s3, 25d.s21, 25d, s3, 2d,

!41

!89

s0, 22d.s5, 22d, s0, 6d,

!53!10

!103!5

y

x3121

3

1

21

23

23

A(21, 3)

B(2, 23)

!265

!109!29

s8, 27d?s3, 5d

!8!26

!34!2!74

s24, 3d?s23, 22d6. Multiple Choice Which set of points below

form a right triangle?

A

B

C

D

E None of these

7. Multiple Choice Two fish are stocked into alake from a boat. The first swims 1 mile northand 2 miles east. The second swims 3 mileswest then 2 miles north. How many milesapart are the fish?A 5.8 B 4 C 4.5

D 5.1 E 5.6

8. Multiple Choice The distance between twopoints is 7, and the points are and Find x.A 12.3 B C

D A and B E B and C

Quantitative Comparison In Exercises 9–11,find the distance between the two points. Thenchoose the statement below that is true about thegiven number.





9.

10.

11.

23.222.3

sx, 4d.s5, 2d

s25, 23d, s4, 23d, s25, 4ds21, 2d, s1, 2d, s6, 21ds22, 1d, s4, 8d, s6, 1ds3, 2d, s5, 7d, s21, 7d

TEST TAKING STRATEGY Think positively during a test. This will help keep your



Column A Column B

and s2, 1ds5, 8d and s3, 2ds24, 2dand

s25, 213ds22, 22d and s7, 9ds4, 22d

and s2, 23ds12, 6d and s3, 21

2ds54, 22d

GA QCC: 1, 3

GHSGT: 35



Ch

apter 1

2

1. Multiple Choice What is the midpointbetween (0,22) and (24, 3)?A (3, 6) B (6, 3)

C (0.5, 2) D (23, 0.5)

E (22, 0.5)

2. Multiple Choice What is the midpointbetween (27, 2) and (7, 2)?

A (27, 0) B (0, 2)

C (27, 2) D (7, 2)

E (0, 7 )

3. Multiple Choice What is the midpointbetween points A and B?

A (24, 0.5) B (24, 20.5)

C (0.5, 4) D (20.5,24)

E None of these

4. Multiple Choice What is the midpointbetween (10, 3) and (26, 2)?

A B

C D

E s22, 212d

s22, 2 52ds8, 2 1

2ds2, 52ds8, 2 1

2d

5. Multiple Choice The midpoint between twopoints is (3,24) and the points are (5, 2) and(x, y). Find x.

A (1, 10) B (22, 10)

C (1, 210) D (2, 10)

E (21, 22)

6. Multiple Choice What is the midpointbetween (0, 0) and ?

A B

C D

E

7. Multi-Step Problem You are given the following two points:

A(–3, 5) and B(2, –7).a. Find the midpoint between the two given

points.

b. Find the distance between pointA and themidpoint.

c. Find the distance between point B and themidpoint.

d. Find the distance from point A to point B.Compare this to the sum of the resultsfrom parts (b) and (c).

s222.5, 2 516d

s222.5, 516ds222.5, 2 5

4ds22.5, 5

4ds22.5, 2 516d

s–45, 58d

TEST TAKING STRATEGY Answer the questions you are sure of first. If you cannot

solve a problem, move on to the next question; come back to it later if you

have time.


12.8LESSON

y

x22 2

2

A(23, 21)

B(25, 2)

GA QCC: 1, 4

GHSGT: 33, 38



Ch

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2

12.9LESSON

1. Multiple Choice The basic axiom of algebra

represented by where x is any real

number not equal to zero is

A commutative property of multiplication

B associative property of multiplication

C identity property of multiplication

D inverse property of multiplication

E substitution property of equality

2. Multiple Choice The basic axiom of algebrarepresented by where xand y are real numbers, is A closure property of multiplication

B commutative property of multiplication

C associative property of multiplication

D distributive property of multiplication

E associative property of addition

3. Multiple Choice The basic axiom of algebrarepresented by where x andy are real numbers, is A closure property of multiplication

B commutative property of multiplication

C associative property of multiplication

D distributive property of multiplication

E identity property of multiplication

4. Multiple Choice The basic axiom of algebrarepresented by is

A closure property of addition

B inverse property of addition

C identity property of addition

D commutative property of addition

E associative property of addition

____? .s1 1 2d 1 3 5 1 1 s2 1 3d

____? .s12xdy 5 12sxyd,

____? .7sx 1 yd 5 7x 1 7y,

____? .

x11x2 5 1

Multiple Choice In Exercises 5–10, list thecorrect axiom for the problem below using thechoices A–E. You may use a choice more thanonce.

A Definition of subtraction

B Distributive property of multiplication

C Distributive property of addition

D Associative property of multiplication

E Substitution property of equality

For all real numbers x and y, and where then

Prove:

5.

6.

7.

8.

9.

10.

11. Multi-Step Problem Use the basic axiomsof algebra to prove that if then

Use the two column format shown.

Statement Reason

1. Given

2. _________

3. _________

4. _________

5. _________

6. _________

7. _________

8. _________

9. _________x 5 3

x 5 6 ? 12

1sxd 5 6 ? 12

12 ? 2x 5 6 ? 1

2

2x 5 6

2x 5 11 1 s25d

2x 1 0 5 11 1 s25d

2x 1 5 1 s25d 5 11 1 s25d

2x 1 5 5 11

x 5 3.2x 1 5 5 11,

5 4x 2 5y

5 5x 2 5y 2 x

5 5x 1 s25yd 2 x

5 5x 1 5s2yd 2 x

5 5fx 1 s2ydg 2 x

5sx 2 yd 2 z 5 5sx 2 yd 2 x

5sx 2 yd 2 z 5 4x 2 5y

5sx 2 yd 2 z 5 4x 2 5y.z 5 x,






Ch

apter 1

2

Georgia End-of-Course Practice TestFor use after Chapters 1–12


A 0 B C

D E

9. Multiple Choice What is an equation of aline perpendicular to

A B

C D

E

10. Multiple Choice What is the standard formof an equation that passes through the points

and

A

B

C

D

E

11. Multiple Choice What is the solution of theinequality

A B

C D

E

12. Multiple Choice If andthen ____? .

A 1 B 3 C 10

D 0 E 5

x 57x 2 2y 5 1y 5 4x 2 2

2103 ≤ x ≤ 2

73

2103 ≥ x ≥ 2

733 ≥ x ≥ 4

23 ≥ x ≥ 2423 ≤ x ≤ 24

8 ≤ 23x 1 1 ≤ 11?

11y 1 3x 5 130

11y 2 3x 5 2118

11y 1 3x 5 2130

11y 2 3x 5 130

11y 1 3x 5 118

(3, 11d?s14, 8d

y 5 213 x 1 5

y 5 23x 2 8y 5 213 x 1 2

y 513 x 1

15y 5 3x 1 6

y 513 x 2 5?

232

32

223

23

(11, 2d.s5, 22d


A 12 B 0 C

D 24 E


A B

C D

E

Quantitative Comparison In Exercises 3–6,choose the statement below that is true about thegiven quantities.





3.

4.

5.

6.

7. Multiple Choice What is the length of arectangular container if its volume is 336cubic inches? Its height is 6 inches and itswidth is 8 inches.

A 6 in. B 8 in. C 5 in.

D 7 in. E 3 in.

sHint: V 5 lwhd

4x2 2 8x

4x2 1 8x4x2 2 2x 2 2

4x2 2 4x2x2 2 8x

3xsx 2 2d 2 2x 1 x2.

224

212

y 5 22.x 5 2x2 2 3y2 1 8

Column A Column B2x 2 5 5 3x 2 812x 2 3 5 4

15 x 5 215215 5

x5

The slope of The y-intercept ofy 5

12 x 2

12y 5

12 x 2

12

7x 1 2s2x 1 6d 5 312 x 1 |23| 5 7



Ch

apte

r 1

2


13. Multiple Choice Use the substitutionmethod to solve the system of linear equations.

A B

C D E

14. Multiple Choice Solve the system of linearequations using linear combinations.

A B C

D E

15. Multiple Choice Choose the system oflinear inequalities represented by the graph.

A B

C D

E None of these

16. Multiple Choice Simplify the equation

A B C

D Ey3

4x44y3x4

y4x4

y3

4x2

x2y3

4

5x2y23

8x3y?

4x22y3

10xy24 .

y ≤ 232 x 2 1y ≥ 2

32 x 2 1

y ≥ 12 x 1 2y ≥ 1

2 x 1 2

y ≤ 232 x 2 1y ≥ 2

32 x 2 1

y ≤ 12 x 1 2y ≤ 1

2 x 1 2

y

x3121

3

1

21

23

23

s0, 4ds4, 22ds2, 4ds7, 3ds22, 4d

3x 1 2y 5 8

5x 2 3y 5 26

s23, 3ds2, 2ds22, 5d

s4, 210ds21, 8d

y 5 252 x

3x 1 4y 5 14

Quantitative Comparison In Exercises 17–19,choose the statement that is true about the givenquantity.





17.

18.

19.

20. Multiple Choice You deposit $1200 into asavings account that pays 7% interestcompounded yearly. How much money is inthe account after 8 years assuming you madeno additional investments or withdrawls?(Hint:

A $1872 B $2056.59

C $2117.86 D $2061.82

E $8370.91

21. Multiple Choice Which is the simplified

form of

A B

C D

E220!2

4

212!324

215!24

2!102

25!12

2!45 ? !1524!6

?

I 5 Prtd

Column A Column B

when x 5 2s2xd2sx2d3

when x 5 2s7x3d2

s32d23 s1

2d2s13d22

when t 5 2y 5 14s9

7dt

when t 5 2y 5 6s1.5dt



Ch

apter 1

2

Quantitative Comparison In Exercises 29 and30, add the solutions of the equations. Choose thestatement below that is true about the givennumber.

A The solution of column A is greater.

B The solution of column B is greater.

C The solutions are equal.


29.

30.

31. Multiple Choice Which of the following isthe complete factorization of

A

B

C

D

E






32.

33.

34.

s3x 1 3ds2x2 2 7xd3xs2x 1 1dsx 2 7d3xs2x 1 7dsx 2 1d3xsx 1 7ds2x 2 1ds3x2 1 7ds2x 2 3d

6x3 1 39x2 2 21x?

Column A Column B

3x5

5174

59

52x25

15% of 120 is x 85 of 290% is x

x 1 218

5x8

2x 2 315

5x 1 6

12

Column A Column B

9x2 2 36 5 0x2 223 x 1

19 5 0

x2 1 24 5 210xx2 2 8x 2 24 5 20



A B

C D

E undefined

23. Multiple Choice What is the vertex of thegraph of the equation

A B

C D

E

24. Multiple Choice What are the solutions of

A B 2, 25

C D

E

25. Multiple Choice Use the quadratic formulato find a solution for

A B 6 C

D E

26. Multiple Choice Use the discriminant todetermine the number of solutions of theequation

A 1 B 2 C 3

D Infinitely Many E None

27. Multiple Choice Which ordered pair is asolution of the inequality

A B C

D E


A B

C D

E x2 2 4x 2 21

x2 2 10x 1 4x2 1 10x 2 21

x2 1 10 2 21x2 1 4x 2 21

sx 1 7dsx 2 3d?

s22, 4ds0, 222ds2, 6ds23, 17ds21, 29d

y > 2x2 2 9x 2 18?

3x2 2 2x 1 8 5 0.

322

32

263

22x2 2 3x 1 9 5 0.

25, 10

5, 21025, 210

225, 2

y 5 x2 2 5x 2 50?

s2, 0ds12, 22ds0, 212ds22, 216ds24, 218dy 5 x2 1 4x 2 12?

2!232!43

!972!51

c 5 26.b 5 22,a 5 7,!b2 2 4ac



Ch

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2


35. Multiple Choice The variables x and y varyinversely. When x is 10,y is 7. If x is 5, then yis

A 21 B 3.5 C 350

D E 14

36. Multiple Choice Simplify the expression.

A B

C D

E

37. Multiple Choice What is divided by

A

B

C

D

E

38. Multiple Choice What is the domain of thefunction

A B

C D

E x ≤ 3

x ≥ 3x ≥ 23

x ≤ 6x ≥ 6

y 5 6 2 !x 2 3?

7x 1 2 15x 2 47x 2 1

7x 1 1

2x 1 2 124

7x 2 1

2x 1 2 128

7x 2 1

2x 1 1 13x 2 67x 2 1

7x 2 1?14x2 1 12x 2 6

30x2 1 2x 2 4xsx 1 2dsx 2 2d

x 1 1x2

30x3 1 2x 1 415x3

15x2 1 x 1 115x3

30x2 1 2x 1 2xsx 1 2d2

1 30x2

x 1 21

2xx22 4

15x3 2 30x2

x2 2 4

27

? .


A B

C D

E

40. Multiple Choice What term should beadded to so that the result is a perfectsquare trinomial?

A B C

D E


A 4

B 8

C 16

D 5

E 24


A 6.1 B 9.2 C 8.1

D 9.5 E 10.6

43. Multiple Choice What is the length of sidea in the triangle?

A 45

B 6

C 7

D 8

E 9

a

458

7 2

s21, 4d?s7, 23d

x

16 8 5

13

19

219

43

49

x2 223 x

18 1 !3

32 2 16!318!3 1 3

11

32 1 16!311

32 1 16!3

162 2 !3

ANSWERS

Algebra 1, Concepts and Skills A1Georgia Standardized Test Practice Workbook


Chapter 1Lesson 1.1 1. D 2. C 3. A 4. E 5. E

6. C 7. A 8. B 9. B 10. B 11. D

12. A 13. B

Lesson 1.2 1. E 2. B 3. B 4. A 5. E

6. D 7. D 8. C 9. C 10. a.

b. 89.76 gallons c. 67.32 gallons d. Yes

Lesson 1.3 1. E 2. D 3. C 4. A 5. E

6. B 7. B 8. B 9. E 10. A 11. C

12. B

Lesson 1.4 1. B 2. B 3. B 4. A 5. D

6. C 7. E 8. A 9. E 10. B

11. a. b. 150 representscurrent savings, 20 represents your savings perweek c. at least 17.5 weeksd. at least23.3 weeks

Lesson 1.5 1. D 2. B 3. B 4. A 5. E

6. C 7. E 8. C 9. D 10. B 11. A

Lesson 1.6 1. A 2. B 3. C 4. E 5. D

6. D 7. a.

b. 6.2 mi/h c. 20 miles d. 6.7 mi/h

Lesson 1.7 1. A 2. D 3. C 4. C 5. E

6. B 7. A 8. C

Lesson 1.8 1. A 2. C 3. C 4. E 5. B

6. a. b. c. $860

d. $950

Chapter 2Lesson 2.1 1. B 2. D 3. E 4. E 5. A

6. C 7. C 8. A 9. B 10. A 11. A

Lesson 2.2 1. E 2. C 3. E 4. C 5. E

6. B 7. A 8. D 9. C 10. B 11. C

1.25x 2 75 5 p1.25x 5 p

Skier 1

Skier 2

2.5 hours

3.25 hoursSki lodge

20w 1 150 $ 500

12 ft3

12. D

Lesson 2.3 1. C 2. D 3. C 4. A 5. C

6. D 7. E 8. D 9. B 10. D 11. A

12. C

Lesson 2.4 1. B 2. C 3. D 4. B 5. D

6. D 7. A 8. E 9. B 10. C

11. a. b. a decrease in birdsspotted c. an increase in birds spotted

Lesson 2.5 1. A 2. D 3. B 4. A 5. A

6. A 7. C 8. E 9. C

10. a. b. $39 c. 25 hours

Lesson 2.6 1. B 2. A 3. C 4. A 5. E

6. B 7. C 8. a.

b. yes

Lesson 2.7 1. C 2. D 3. A 4. D 5. D

6. C 7. B 8. B 9. a. C b. 5.2 hours

Lesson 2.8 1. B 2. C 3. A 4. B 5. D

6. A 7. A 8. B 9. A 10. B 11. A

12. A 13. A

Chapter 3Lesson 3.1 1. B 2. B 3. C 4. D 5. A

6. E 7. D 8. C 9. A 10. B 11. A

12. B 13. D 14. A

Lesson 3.2 1. C 2. D 3. C 4. A 5. A

6. B 7. E 8. D 9. A 10. C 11. A

Lesson 3.3 1. B 2. C 3. A 4. A 5. D

6. E 7. D 8. B 9. C 10. C 11. B

12. A 13. D

Lesson 3.4 1. C 2. B 3. A 4. E 5. D

6. B 7. C 8. D 9. D 10. A 11. C

12. A

4x 1 4s2.5d, 4sx 1 2.5d

75 2 3h 5 m

22, 11, 22, 211

An

swers

Chapter 3 continued

Lesson 3.5 1. D 2. A 3. E 4. B 5. B

6. B 7. a. b. 60 days

Lesson 3.6 1. C 2. E 3. E 4. D 5. B

6. A 7. B 8. B 9. C

10. a. b. 82.7

c. 52.7

Lesson 3.7 1. E 2. B 3. A 4. C 5. C

6. E 7. D 8. B 9. B 10. C 11. A

Lesson 3.8 1. D 2. B 3. B 4. C 5. D

6. D 7. A 8. C

9. a.

b. 40 c. rejectLesson 3.9 1. B 2. D 3. A 4. E 5. B

6. C 7. E 8. E 9. C 10. A 11. C

12. B 13. C

Chapter 4Lesson 4.1 1. B 2. A 3. E 4. C 5. B

6. C

7.

a. b. slightly increasing

c. 10.9 thousand

Lesson 4.2 1. D 2. B 3. C 4. A 5. C

6. C 7. A 8. E 9. a.

b.

y 5 22x 1 36

00

2

46

810

12

1 2 3 4 5Years since 1992

Nu

mb

er

of

cu

sto

mers

(th

ou

san

ds)

Snowboarders vs.

Skiers

Snowboarders

Skiers

x

y

Brown in SampleTotal Sample

5Brown in Ship.

Total Ship.

29.95 1 0.32sx 2 30d 5 46.82

10x 5 5x 1 300

c.

Lesson 4.3 1. C 2. E 3. B 4. D 5. E

6. A 7. A 8. D 9. B 10. B

Lesson 4.4 1. B 2. E 3. E 4. C 5. B

6. E 7. B 8. D 9. B 10. A

Lesson 4.5 1. C 2. D 3. A 4. B 5. A

6. E 7. C 8. B 9. C 10. B 11. A

12. D

Lesson 4.6 1. A 2. B 3. D 4. E 5. D

6. C 7. C 8. B 9. A 10. C

Lesson 4.7 1. C 2. B 3. C 4. D 5. C

6. D 7. C 8. E 9. B 10. C 11. A

Lesson 4.8 1. C 2. A 3. D 4. D 5. E

6. B 7. C 8. B 9. A 10. A

Chapter 5Lesson 5.1 1. B 2. E 3. A 4. C 5. B

6. B 7. B 8. C 9. A

Lesson 5.2 1. D 2. B 3. A 4. B 5. E

6. C 7. B 8. A 9. B

Lesson 5.3 1. D 2. A 3. D 4. E 5. C

6. B 7. E 8. A 9. A 10. A

Lesson 5.4 1. D 2. E 3. B 4. C 5. A

6. C 7. B 8. A 9. B 10. D

Lesson 5.5 1. D 2. E 3. D 4. C 5. A

6. B 7. a. 350,000 5 13,850x 1 220,000,350,000 5 24,750x 1 220,000

b. 2003, 1999

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A2 Algebra 1, Concepts and SkillsGeorgia Standardized Test Practice Workbook


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x 5 10 15y 26 16 6


Chapter 5 continued

Lesson 5.6 1. B 2. D 3. E 4. E 5. B

6. C 7. B

8. a.

b. and perpendicular slopes

Chapter 6Lesson 6.1 1. A 2. C 3. C 4. C

5. C 6. D 7. B 8. A 9. D

Lesson 6.2 1. B 2. E 3. D 4. C 5. B

6. A 7. B 8. A 9. C

Lesson 6.3 1. B 2. A 3. A 4. D 5. C

6. C 7. a. b. c.

Lesson 6.4 1. A 2. C 3. C 4. D 5. B

6. E 7. C 8. B 9. D

Lesson 6.5 1. B 2. D 3. C 4. A 5. C

6. B 7. A 8. D 9. C

Lesson 6.6 1. B 2. D 3. D 4. E 5. A

6. B 7. D 8. B 9. A

Lesson 6.7 1. D 2. A 3. A 4. A 5. E

6. C 7. B 8. A 9. C

Lesson 6.8 1. D 2. A 3. B 4. C 5. B

6. E 7. a.

b. c. 31 or less

d. No, you can’t orderfractional parts of ameal.

Cumulative ReviewChapters 1–6 1. B 2. C 3. A 4. E 5. B

6. A 7. A 8. D 9. C 10. E 11. E

12. C 13. B 14. C 15. B 16. A 17. A

18. E 19. a. b. 3 c. Dividethe total by 1.06 to get the price before tax.

20. D 21. E 22. A 23. B 24. D 25. D

32 1 12sx 2 1d

00

10

2030

4050

10 20 30 40 50 60 x

y

Fish dinners

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Dinners Purchased

8.5x 1 10.5y # 500

x ≥ 7x ≥ 165x ≥ 660

BC;AB

y 552 x 1

112 ; y 5 2

25 x 1

135 ; y 5

37 x 2

57

26. B 27. C 28. D 29. E 30. B 31. A32. C 33. A 34. A 35. D 36. B 37. B

38.

a. b.

c. $7.27; interpolation

d. $9.60

39. B 40. C 41. B 42. A 43. C

Chapter 7Lesson 7.1 1. E 2. C 3. B 4. C 5. D

6. D 7. B 8. A 9. D 10. A

Lesson 7.2 1. B 2. C 3. E 4. B 5. A

6. D 7. C 8. A 9. C 10. B

Lesson 7.3 1. B 2. D 3. E 4. C 5. A

6. a. b. 5 mi/h c. 1 mi/h

d. No, not without additional information.

Lesson 7.4 1. B 2. C 3. C 4. E 5. D

6. D 7. A 8. C 9. B

Lesson 7.5 1. A 2. B 3. A 4. B 5. D

6. B 7. B 8. C 9. B

Lesson 7.6 1. A 2. D 3. B 4. D 5. E6. a. b.

c. Answers may vary.Sample answer: 15 hoursat first job and 10 jours at second job.

Chapter 8Lesson 8.1 1. B 2. C 3. D 4. E 5. A

6. B 7. C 8. D 9. D 10. C 11. B

12. D

y ≥ 0x ≥ 05x 1 8y ≥ 150

x

y

00

5

10

15

20

25

30

35

5 10 15 20 25 30 35

x 1 y ≤ 25

7 2 c 5 47 1 c 5 6

y 513 x 1 5.60

x

y

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5.0

5.5

6.0

6.5

7.0

7.5

8.0

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An

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Chapter 8 continued

Lesson 8.2 1. C 2. B 3. B 4. A 5. E

6. B 7. D 8. C 9. A 10. C 11. A

12. B

Lesson 8.3 1. A 2. D 3. C 4. A 5. D

6. D 7. a. $367.51 b. $500 c. $583.20

Lesson 8.4 1. B 2. E 3. C 4. D 5. A

6. A 7. D 8. D 9. E 10. D 11. A

12. C 13. A

Lesson 8.5 1. A 2. D 3. B 4. D 5. E

6. C 7. B 8. C 9. A 10. A 11. B

12. B

Lesson 8.6 1. C 2. D 3. B 4. B 5. C

6. D 7. a. b. 133,000

c. 37,807 d. Answers may vary. Sampleanswer:It will probably continue to increase, butnot as rapidly.

Lesson 8.7 1. E 2. C 3. C 4. A 5. C

6. D 7. A 8. C 9. A

Chapter 9Lesson 9.1 1. D 2. E 3. D 4. D 5. E

6. A 7. B 8. E 9. E 10. A 11. C

12. A

Lesson 9.2 1. B 2. B 3. C 4. D 5. C

6. A 7. C 8. D 9. B 10. B

Lesson 9.3 1. D 2. C 3. E 4. A 5. D

6. B 7. D 8. D 9. B 10. C 11. A

Lesson 9.4 1. D 2. B 3. B 4. C 5. E

6. C 7. D 8. A 9. A 10. C 11. B

Lesson 9.5 1. D 2. A 3. C 4. B 5. B

6. A 7. C 8. A 9. C 10. E 11. D

Lesson 9.6 1. B 2. E 3. B 4. C 5. B

6. A 7. E 8. B

9. a. b. about 1.77 sec

c. Sample answer: The speed of the ski lift if it ismoving when the keys are dropped, the angle that

n 5 216t2 1 50

y 5 50,000s1.15dt

the keys are dropped, and the wind and weatherconditions.

Lesson 9.7 1. B 2. E 3. C 4. C 5. B

6. C 7. C 8. A 9. C 10. B

Lesson 9.8 1. B 2. E 3. A 4. D 5. A

6. a. 4 feet b. 4 feet c. Not if the water lineis outside of

Chapter 10Lesson 10.1 1. E 2. A 3. D 4. B 5. B

6. B 7. a.

b. $111,000 c.

Lesson 10.2 1. D 2. E 3. A 4. E 5. D

6. C 7. A 8. B 9. B 10. A

Lesson 10.3 1. E 2. B 3. D 4. E 5. E

6. B 7. A 8. A 9. B

Lesson 10.4 1. E 2. B 3. A 4. C 5. C

6. D 7. C 8. a. 12 feet b. 6.5 feet

c. 6 people

Lesson 10.5 1. B 2. C 3. E 4. C 5. A

6. D 7. D 8. C 9. A 10. A 11. D

12. D

Lesson 10.6 1. B 2. D 3. C 4. B 5. A

6. C 7. E 8. D

9. a. b. and

c. The correct answer is 1.25 seconds. Time cannot be negative for this problem.

Lesson 10.7 1. D 2. A 3. B 4. C 5. D

6. D 7. A 8. E 9. B 10. C 11. B

Lesson 10.8 1. E 2. B 3. A 4. B 5. C

6. D 7. a. 2 seconds b. 2.8 seconds

Chapter 11Lesson 11.1 1. E 2. C 3. A 4. D 5. B

6. C 7. A 8. D 9. B 10. A 11. D

Lesson 11.2 1. E 2. A 3. D 4. D 5. D

6. B 7. C

2154s24t 1 5ds4t 1 4d 5 0

350 5 21.t2 1 7.5t 1 138

S 5 8.9t2 1 1.2t 1 73

y ≤ x2 2 2x 2 3.



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Chapter 11 continued

8. a.

b. inverse;

c. The first bike is oneand a half times moreexpensive than the second. x and y wouldrelate similary.

Lesson 11.3 1. D 2. B 3. E 4. D 5. D

6. C 7. B 8. A 9. A 10. B 11. D

Lesson 11.4 1. E 2. B 3. A 4. B 5. D

6. C 7. a.

b. about 56,700 c. about 54,900

d. The miles driven per person is decreasing; thiscan’t continue indefintely.

Lesson 11.5 1. D 2. E 3. B 4. D 5. C

6. B 7. A 8. D

Lesson 11.6 1. E 2. E 3. D 4. B 5. A

6. a.

b. c. about 12.4 hours

d. The smaller plane is traveling at half the speedof the larger plane. At first glance, the trip mightseem to be exactly twice as long, but due to windforce the trip actually takes about 26.7 hours.

Lesson 11.7 1. B 2. B 3. A 4. C 5. E

6. E 7. B 8. A 9. A

Chapter 12Lesson 12.1 1. A 2. A 3. B 4. A 5. C

6. C 7. C 8. B 9. B

2400x 2 6000sx 1 25dsx 2 30d

1200sx 1 25d 1

1200sx 2 30d

200s2000 1 23tds1 1 0.02tds1 2 0.03tds4 1 td

y 51200

xh

p00

100

200

300

400

500

600

2 4 6 8 10 12 14Pay rate

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Lesson 12.2 1. D 2. D 3. E 4. B 5. C

6. E 7. B 8. B 9. C

Lesson 12.3 1. D 2. C 3. B 4. A 5. B

6. A 7. C 8. D 9. B 10. D 11. D

12. D

Lesson 12.4 1. C 2. C 3. D 4. A 5. B

6. E 7. B 8. D 9. A 10. B 11. A

Lesson 12.5 1. D 2. C 3. B 4. B 5. C

6. B 7. D 8. E 9. C 10. A 11. B

Lesson 12.6 1. C 2. A 3. B 4. A 5. D

6. E 7. D 8. D 9. a.

b.

c. 135.9 mi/h, 241.8 mi/h d. Answers may vary.Sample Answer:The quadratic formula was used.Although this is factorable, there are manycombinations to check.

Lesson 12.7 1. D 2. B 3. D 4. C

5. C 6. D 7. D 8. D 9. A 10. C

11. A

Lesson 12.8 1. E 2. B 3. A 4. B 5. C

6. D 7. a. b. c.

d. 13; They are equal.

Lesson 12.9 1. D 2. D 3. C 4. E 5. E

6. A 7. B 8. D 9. A 10. A

11. Reason

1. Given

2. Addition Property of Equality

3. Inverse Property of Addition

4. Identity Property of Addition

5. Simplify.

6. Multiplication Property of Equality

7. Inverse Property of Multiplication

8. Identity Property of Multiplication

9. Simplify.

132

132s–1

2, –1d

2x 2 30

200

x

x, 2x 2 30


An

swers

h 240 120 100r 5.00 10.00 12.00

Chapter 12 continued

Georgia End-of-Course Practice TestChapters 1–12 1. B 2. E 3. B 4. A

5. A 6. C 7. D 8. B 9. D 10. E

11. E 12. B 13. C 14. D 15. A 16. E

17. B 18. B 19. A 20. A 21. C 22. C

23. B 24. E 25. E 26. E 27. C 28. A

29. A 30. A 31. B 32. A 33. B 34. B

35. E 36. C 37. B 38. D 39. A 40. D

41. B 42. E 43. C



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The Georgia Standardized Test Practice · PDF fileThe Georgia Standardized Test Practice Workbook ... Concepts and Skills ... 2a 1 6 5 10 32 5 7a 1 4 a 5 5