Georgia Standardized Test Practice Workbook - … Standardized Test Practice Workbook McDougal Littell correlated to the ... 4 3 22 23s3x 1 2d 1 x? 5s2x 1 6d 5 1 4 24 22

GeorgiaStandardized Test Practice Workbook

McDougal Littell

correlated to the

GEORGIA QUALITY CORE CURRICULUM

and the

GEORGIA HIGH SCHOOL GRADUATION TEST STANDARDS

Algebra 2Applications • Equations • Graphs

Georgia Algebra 2Standardized TestPractice Workbook The Standardized Test Practice Workbook providespractice exercises for every lesson in a standardized testformat. Included are multiple-choice, quantitative-comparison, and multi-step problems. The StandardizedTest Practice for every lesson is correlated to the GeorgiaQuality Core Curriculum and to the Georgia High SchoolGraduation Test standards. At the end of the book youwill find practice for the Georgia End-of-Course Test.

ISBN: 0-618-13258-9

123456789-MDI- 04 03 02 01 00

Permission is hereby granted to teachers to reprint or photocopyin classroom quantities the pages or sheets in this work that carrya McDougal Littell copyright notice. These pages are designedto be reproduced by teachers for use in their classes withaccompanying McDougal Littell material, provided each copymade shows the copyright notice. Such copies may not be sold,and further distribution is expressly prohibited. Except asauthorized above, prior written permission must be obtained fromMcDougal Littell Inc. to reproduce or transmit this work or portionsthereof in any other form or by any other electronic or mechanicalmeans, including any information storage or retrieval system,unless expressly permitted by federal copyright law. Addressinquiries to Manager, Rights and Permissions, McDougal LittellInc., P. O. Box 1667, Evanston, Illinois 60204.

Copyright © 2001 McDougal Littell Inc. All rights reserved.

Contents

Chapter Title1 Equations and Inequalities 1–7

2 Linear Equations and Functions 8–15

3 Systems of Linear Equations and Inequalities 16–21

4 Matrices and Determinants 22–26

5 Quadratic Functions 27–34

6 Polynomials and Polynomial Functions 35–43

7 Systems of Linear Equations and Inequalities 44–50

Cumulative Standardized Test Practice 51–54

8 Exponential and Logarithmic Functions 55–62

9 Rational Equations and Functions 63–68

10 Quadratic Relations and Conic Sections 69–75

11 Sequences and Series 76–80

12 Probability and Statistics 81–87

13 Trigonometric Ratios and Functions 88–94

14 Trigonometric Graphs, Identities, and Equations 95–101

Georgia End-of-Course Practice Test 102–105

Answers A1–A10

Copyright © McDougal Littell Inc. All rights reserved.

Algebra 2 iiiGeorgia Standardized Test Practice Workbook

Algebra 2 1Georgia Standardized Test Practice Workbook

1. Multiple Choice Which list of numbers iswritten in increasing order?

A

B

C

D

E

2. Multiple Choice Which property is illustrat-ed by the statement

A Associative property of addition

B Commutative property of addition

C Commutative property of multiplication

D Associative property of multiplication

E Distributive property

3. Multiple Choice Which number doesequal?

A B 30 C 2

D E 224


A B C 7

D E 28217

27218

63 4 s29d

22

230

s216d 2 s214d

3s7 1 5d 5 3s7d 1 3s5d?

235

, 20.4, 0.3, 14

, 1

2!7, 22.5, 1.8, !3, !2

21.2, 2!3, 21, 213

, 20.6

27, 26.3, 2!37, 2, 2.2

23.4, 2113

, 0, 2.3, 5

Quantitative Comparison In Exercises 5–9,

choose the statement below that is true

about the given quantities.

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.

5.

6.

7.

8.

9.

10. Multiple Choice At 7:00 A.M. the tempera-ture was By 5:00 P.M. the temperaturehad dropped to Which number repre-sents the degree change in temperature duringthis period of time?

A 9 B 17 C 11

D E 21729

248F.138F.

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

Standardized Test PracticeFor use with pages 3–10

1.1LESSON


Ch

apter 1

GA QCC: 3

GHSGT: 2, 3

Column A Column B

24.4 2!20

s23d 1 s215d s29ds2d

29 1 s234d 34 2 29

s228d 4 s7d 52 4 13

s210d 2 s213d 13 2 10

GA QCC: 2, 3

GHSGT: 4, 33, 34, 37

2 Algebra 2Georgia Standardized Test Practice Workbook


1.2LESSON


Ch

apte

r 1

1. Multiple Choice Which expression usingexponents corresponds to “x to the fourthpower?”

A B

C D

E


A B

C D

E


A B

C D

E

4. Multiple Choice Which number doesequal when

A 1 B

C 4 D

E 7

21

27

x 5 2?5x 2 3

22

4223

610

16 2 8 4 4 ? 3

43

514

145

1348

28 4 4 1 1 ? 6

4x

x4x14

x ? x ? x ? x4x








5.

6.

7.

8.


A B 3

C 12 D 7

E


A 2 B 0

C 4 D

E 22

21

x 5 21?x2 2 2x 1 1

25

24

x 5 22?sx 1 1d2 1 3x

TEST TAKING STRATEGY Draw an arrow on your test booklet next to questions

that you do not answer. This will enable you to find the

questions quickly when you go back.

Column A Column B

2 1 6 4 3 4

15 4 s3 1 2d 15 4 3 1 2

6 s4 2 8d ? 3

4x 7 2 5 ? 2


1. Multiple Choice Which number is the solu-tion of the equation

A B

C 2 D 5

E


A 2 B

C 4 D

E 1


A B 2

C D

E 4

4. Multiple Choice A sales clerk’s base salaryis $21,000. The clerk earns a 6% commissionon total sales. How much must the clerk sellto earn $30,000 total?

A $15,000 B $1,500

C $150 D $15

E $150,000

2212

24

212x 1 3 5 2s2x 2 3d?

21

22

5x 1 6 5 23x 2 2?

12

2522

2x 1 3 5 27?5. Multi-Step Problem You are in charge of

planting a rectangular garden with a length of10 meters and a width of 8 meters. There isto be a stone border of uniform widthsurrounding the entire garden.

a. What is the total area of the rectangulargarden including the stone border?

b. What is the maximum area of the stoneborder if the total area of the plantedgarden is 63 square meters?

c. If stone costs $4.25 per square meter, howmuch will installing the stone border cost?

d. Critical Thinking If you have anallowance of $100 to spend on the stoneborder, explain whether it is possible toincrease the size of the border by 0.25meter on all sides. (Hint: Assume increas-ing the size of the border reduces thelength and width of the planted garden.)


A B 2 C 4

D E

7. Multiple Choice Which number is thesolution of the equation

A B 2 C

D 12 E 212

43

22

23s3x 1 2d 1 x?5s2x 1 6d 5

14

24

22

22x 1 3 5 3x 2 7?

8 m

10 m

TEST TAKING STRATEGY Read the test questions carefully. Also try to find short cuts

that will help you move through the questions quicker.


1.3LESSON


Ch

apter 1

GA QCC: 2, 4, 18

GHSGT: 4, 21, 38


1. Multiple Choice Given the equationfind the value of y when

A 18 B C 11

D 0 E

2. Multiple Choice Solve for y.

A B

C D

E

3. Multiple Choice Which gives the equationsolved for

A B

C D

E

4. Multiple Choice You have 24 feet of fenc-ing with which to enclose a rectangular gar-den. Express the garden’s area in terms of itswidth.

A B

C D

E A 5 2ws12 2 wdA 5 ws12 2 2wdA 5 ws12 2 wdA 5 ws24 2 2wdA 5 ws24 2 wd

l 5w2

l 5 2w2

l 5 P 2w2

l 5P 2 2w

2l 5 P 2 w

l?P 5 2l 1 2w

y 5 252

x 132

y 552

x 232

y 552

x 132

y 5 252

x 2 3y 5 25x 2 3

5x 2 2y 5 23

1

21

x 5 3.y 5 2x 2 5,Quantitative Comparison In Exercises 5–8,


about the given quantities if





5.

6.

7.

8.

9. Multiple Choice Solve for

A B

C D

E

10. Multiple Choice Which gives the equationsolved for

A B

C D

E r 5 I 2Pt

r 5 I 2 Ptr 5PI

2 t

r 5I

Ptr 5

PtI

r?I 5 Prt

y 5 2x3

1 7

y 5 2x3

273

y 5 2x3

173

y 5x3

173

y 5 x 173

y.2x 2 3y 5 7

2x 1 3y 5 10.

TEST TAKING STRATEGY If you find yourself spending too much time on one test

question and getting frustrated, move on to the next

question. You can revisit a difficult problem later with

a fresh perspective.


1.4LESSON


Ch

apte

r 1

GHSGT: 35

Column A Column B

x 5 21 y

x 5 5 y

x y 5 4

x y

GA QCC: 1

GHSGT: 4, 37


1. Multiple Choice You have borrowed $284from your parents to pay for a school ski trip.Your parents are not charging you interest,but they want to be repaid as soon as possible.If you can afford to repay them $24 a week,how long will it take for you to repay theloan?

A 11 weeks B 12 weeks

C 13 weeks D 10 weeks

E 14 weeks

2. Multiple Choice A rectangular box mea-sures 25 centimeters long, 17 centimetershigh, and 15 centimeters wide. How muchwrapping paper is required in order to wrapthe box?

A B 57 cm

C D

E

3. Multiple Choice If you drive 364 miles andyou average 18.2 miles per gallon, how muchdo you spend on gasoline if it costs $1.32 pergallon?

A $26.40 B $26.00

C $25.40 D $26.25

E $25.00

4. Multiple Choice You are buying new carpetfor your bedroom which measures 12 feetlong by 14 feet wide. How much will the newcarpet cost if it sells for $4.75 per squarefoot?

A $123.50 B $79.80

C $1,235.00 D $247.00

E $798.00

6375 cm2

1055 cm22110 cm2

6375 cm3

5. Multi-Step Problem You have a part-timejob in which your employer pays you $6.25an hour for working 6 hours per week. Youare paid $7.25 an hour for each additionalhour over 6 hours.

a. Write a verbal model that would give youthe total amount of pay for working part-time.

b. Assign labels to your verbal model frompart (a).

c. Write an algebraic model from part (b).

d. Solve the algebraic model if you work 9 hours per week.

e. Critical Thinking If your employeroffers to pay you $.50 more per hour foreach additional hour over 10 hours, whatwill your pay be if you work 12 hours perweek?

6. Multiple Choice You are taking guitarlessons. The cost of the first lesson is twicethe cost of each additional lesson. You spend$360 for 8 lessons. How much did the firstlesson cost?

A $40 B $45

C $50 D $60

E $80

7. Multiple Choice You are selling candy barsthat cost $1.25 each. Your family bought 15bars. How many more bars must you sell inorder to collect $115?

A 40 bars B 52 bars

C 74 bars D 77 bars

E 80 bars

TEST TAKING STRATEGY Do not panic if you run out of time before answering all of

the questions. You can still receive a high score on the SAT

without answering every question.


1.5LESSON


Ch

apter 1

GA QCC: 2, 4, 15

GHSGT: 4


1. Multiple Choice Which inequality is thesolution of

A B

C D

E


A B

C D

E


A B

C D

E

4. Multiple Choice Which number is not asolution of the inequality

A 0 B

C D

E 24

13

234

22

23 < 2x 1 5 < 7?

x ≤ 6

x ≥ 8x ≥ 28

x ≥ 6x ≤ 8

3sx 2 2d ≥ x 1 10?

x > 22

x ≥ 2x ≤ 22

x ≥ 22x < 22

2x 2 1 ≤ 4x 1 3?

x > 23

x > 3x > 213

x < 213

x < 23

25x < 15?5. Multi-Step Problem Your English teacher

announces that course grades will be com-puted by taking 45% of your research paperscore (0–100 points) and adding 55% of yourfinal exam score (0–100 points).

a. If you score 84 points on the researchpaper, how many points will be consideredin computing your course grade?

b. If you score 92 points on the final exam,how many points will be considered incomputing your course grade?

c. What will your course grade be, based on the scores given in parts (a) and (b)?(Assume that scores will be rounded up.)

d. Since you scored 84 points on the researchpaper, what scores can you get on the finalexam to get a course grade of at least 90?

e. Critical Thinking If you had scored 10points more (94 points) on the researchpaper, could you score 5 fewer points onthe final exam (87 points) and still get acourse grade of at least 90?


A B 3

C D 1

E 0

7. Multiple Choice Which number is not asolution of the compound inequality

or

A 8 B 4

C D 7

E 0

25

22x 2 3 < 215?3x 2 2 < 7

28

24

6 ≤ x 1 12 ≤ 15?

TEST TAKING STRATEGY During the test, do not worry excessively about how

much time you have left. Concentrate on the question

in front of you.


1.6LESSON


Ch

apte

r 1

GA QCC: 5


1. Multiple Choice Which number is a solu-tion of the equation

A 2 B

C D

E

2. Multiple Choice Which number is a solu-tion of the equation

A B

C D

E


A 0 B

C D

E 1


A 8 B

C D

E 3

2425

23|2x 2 5| > 9?

2123

23

|3x 1 4| ≤ 6?

25

225

145

2145

22

|5x 1 2| 5 12?

52

22252

23|2x 2 1| 5 5?








5.

6.

7.

8.

9.

10. Multiple Choice Which graph represents

A

B

C

D

E

022242628 2 4

022242628 2 4

022242628 2 4

022242628 2 4

022242628 2 4

|x 1 2| > 5?

TEST TAKING STRATEGY When taking a test, first tackle the questions that you

know are easy for you to answer.


1.7LESSON


Ch

apter 1

Column A Column B

|2x 2 3| 5 5 25

11 |x 1 3| 5 8

|x 2 3| 5 4 |3 2 x| 5 4

12 |4x 1 5| 5 3

|6x 1 1| ≤ 13 3

GA QCC: 6, 7, 8

GHSGT: 25, 42


1. Multiple Choice Which of the followingrelations is not a function?

A B

C D

E

2. Multiple Choice Which of the followingrelations is not a function?

A B

C D

E

3. Multiple Choice If what is

A B

C D

E

4. Multiple Choice Which of the following isa linear function?

A

B

C

D

E hsxd 5 !x 2 4

gsxd 5 2x3 2 1

f sxd 5 2x 2 5

hsxd 5 |x 1 1|gsxd 5 2x2 2 x 1 1

215

2321

527

gs22d?gsxd 5 x2 1 3x 2 5,








5.

6.

7.

8.

9.

TEST TAKING STRATEGY During a test it is important to stay mentally focused, but

also physically relaxed.


2.1LESSON


Ch

apte

r 2

x 2 3 4y 1 1 1

x 0 2 2y 4 1 3

x 7 5 3y 7 5 3

x 1 2 4y 4 0 3

x 6 5 4y 1 2 3

x 2 4 6y 1 3 5

x 0 1 2y 0 1 2

x 4 6 8y 8 6 4

x 3 3 6y 1 4 7

x 5 6 7y 2 3 3

Column A Column B

when x 5 1f sxd 5 x2 2 3

when x 5 0f sxd 5 2x2 1 1

when x 5 21f sxd 5 x2 1 3x

when x 5 1f sxd 5 3x2 2 4

f sxd 5 x2 1 5x 2 6 f sxd 5 2x2 2 3x 2 1

when x 5 2f sxd 5 x2 2 x 2 1

when x 5 1f sxd 5 x2 1 2x 2 2

when x 5 22f sxd 5 5x2 2 2x 1 1

when x 5 25f sxd 5 x2

GA QCC: 6

GHSGT: 43


1. Multiple Choice What is the slope of theline that passes through and

A B

C D

E


A B 3

C D

E

3. Multiple Choice Which of the followinglines is the steepest?

A Line 1: through and

B Line 2: through and

C Line 3: through and

D Line 4: through and

E Line 5: through and

4. Multiple Choice The line that passesthrough the points and

A is vertical B falls

C is horizontal D rises

E doesn’t exist

? .s25, 8ds3, 0d

s1, 2ds22, 24ds4, 5ds21, 3ds6, 6ds22, 7d

s3, 2ds6, 4ds3, 2ds4, 5d

1

213

23

13

s24, 3d?s2, 5d

23

132

21223

s21, 8d?s25, 4d5. Multi-Step Problem You are in charge

of building the roof for a warehouse. It is arequirement that the pitch or slope of the roofrises at least 3 feet for every 15 feet of hori-zontal distance.

a. What is the required pitch of slope of theroof?

b. If the warehouse is 120 feet wide, what isthe minimum required height of the roof?

c. Use the Pythagorean theorem to determinethe length of one side of the roof.

d. Writing Explain how a roof height of 15 feet meets the required pitch for theroof.

6. Multiple Choice A ladder 40 feet in lengththat hits the wall at a height of 24 feet has aslope of

A B

C D

E

7. Multiple Choice If a line passes throughand then the line

A rises B falls

C is horizontal D is vertical

E doesn’t exist

? .s3, 24ds3, 8d

45

53

35

43

34

? .

120 ft

h

TEST TAKING STRATEGY Read the test questions carefully.


2.2LESSON


Ch

apter 2

GA QCC: 1, 2, 6

GHSGT: 4, 42, 43


1. Multiple Choice What is the slope of theline

A B

C D

E

2. Multiple Choice What is the y-intercept ofthe line

A B

C D

E

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

A B

C D

E

4. Multiple Choice What is the y-intercept andthe x-intercept of the line

A y-intercept: 15 B y-intercept:x-intercept: x-intercept:

C y-intercept: D y-intercept:15x-intercept: x-intercept:3

E y-intercept:x-intercept:215

25

23215

2525215

y 5 25x 2 15?

264

464

216214

y 5 214x 2 16?

54

223

245

45

23

y 523x 1

45?

7

215

25

2715

y 5 215x 2 7?








5.

6.

7.

8.

9. Multiple Choice Which function isrepresented by the graph shown?

A

B

C

D

E 2x 2 4y 5 8

22x 2 4y 5 28

2x 2 4y 5 28

2x 1 4y 5 8

22x 2 4y 5 8

1

y

x1

(4, 0)

(0, 22)

TEST TAKING STRATEGY If you find yourself spending too much time on one ques-

tion and getting frustrated, move on to the next question.


2.3LESSON


Ch

apte

r 2

Column A Column B

y-intercept ofy 5 x 2 6

y-intercept of22y 5 3x 1 12

x-intercept ofy 5 x 1 3

slope of5y 5 10x 1 3

y-intercept of14x 1 7y 5 35

x-intercept ofy 5 2x 1 10

slope ofy 5 12

y-intercept of16y 5 2x 2 8

GA QCC: 6, 35

GHSGT: 36, 37, 42


1. Multiple Choice What is the equation of theline that passes through the point andhas a slope of

A B

C D

E

2. Multiple Choice What is the equation of theline that passes through the point and has a slope of

A B

C D

E

3. Multiple Choice What is the equation of theline that passes through the point andis parallel to the line

A B

C D

E

4. Multiple Choice What is the equation of theline that passes through the point andis perpendicular to the line

A B

C D

E y 513

x 2 1

y 513

x 2 5y 5 23x 1 15

y 5 3x 2 15y 5 3x 1 15

y 513x 1 4?

s6, 23d

y 5 22x 1 5

y 5 2x 2 9y 5 212

x 1132

y 5 2x 1 5y 512

x 1152

y 5 22x 2 1?s21, 7d

y 5 4x 2 11

y 5 4x 2 5y 5 24x 1 5

y 5 4x 1 11y 5 4x 1 5

4?s22, 23d

y 5 23x 1 2

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

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

23?s1, 5d








5.

6.

7.

8. Multiple Choice The variables x and y varydirectly, and when Whichequation relates the variables?

A B

C D

E

9. Multiple Choice The variables x and y varydirectly, and when Whichequation relates the variables?

A B

C D

E y 513

x

y 5 42xy 5 3x

y 5114

xy 5 14x

x 5 3.y 5 42

y 5 18x

y 512

xy 5136

x

y 5 36xy 5 2x

x 5 36.y 5 18

TEST TAKING STRATEGY Try to find shortcuts that will help you move through the

questions quicker.


2.4LESSON


Ch

apter 2

Column A Column B

slope of lineperpendicular to y 5 23x 1 7

slope of lineparallel to

y 5 3x 2 5

slope of line parallel to

y 5 25x 2 11

slope of lineperpendicular to

y 515x 1

37

slope of line parallel to

3y 1 x 5 14

slope of lineperpendicular to 2x 1 2y 5 15

GA QCC: 1, 2, 6, 47, 49

GHSGT: 4, 11, 12, 13,16, 25


1. Multiple Choice If y tends to increase as xincreases on a scatter plot, what is the correla-tion of the paired data?

A positive B negative

C relatively no D undefined

E none of these

2. Multiple Choice What is the correlationrepresented by the scatter plot shown?

A positive

B negative

C relatively no

D undefined

E none of these

3. Multiple Choice Which is the best-fittingline for the data shown?

A

B

C

D

E y 5 20.0051x 1 4.81

y 5 20.51x 1 4.81

y 5 5.1x 1 0.481

y 5 20.051x 1 4.8

y 5 0.51x 1 4.81

1

y

x1

4. Multi-Step Problem The table gives thenumber x of hours per month a companydevotes to work safety training and thenumber y of work-hours lost per month due to accidents on the job.

a. Draw a scatter plot of the data.

b. Describe the correlation shown by thescatter plot.

c. Approximate the best-fitting line for thedata.

d. Using the equation from part (c), predictthe number of work-hours lost per monthif the company devotes 9 hours per monthto safety training.

5. Multiple Choice What is the correlationrepresented by the scatter plot shown?

A positive

B negative

C relatively no

D undefined

E none of these1

y

x1

TEST TAKING STRATEGY You can always return to a more difficult problem later

with a fresh perspective.


2.5LESSON


Ch

apte

r 2

x 1 2 3 4 5y 4.2 3.8 3.5 2.7 2.2

x 1 2 3 4 5 6y 62 58 50 41 36 33

GHSGT: 42


1. Multiple Choice Which of the ordered pairsis a solution of

A B

C D

E

2. Multiple Choice Which of the ordered pairsis a solution of

A B

C D

E

3. Multiple Choice Which of the ordered pairsis not a solution of

A B

C D

E

4. Multiple Choice Which of the ordered pairsis not a solution of

A B

C D

E

5. Multi-Step Problem You have relativesliving in both the United States and Canada.You are given a prepaid phone card worth$75. Calls within the continental UnitedStates cost $.13 per minute and calls toCanada cost $.62 per minute.

a. Write a verbal model that represents thenumber of minutes you can use for callswithin the United States and for calls toCanada.

s21, 3ds2, 2ds22, 0ds0, 2ds23, 25d

2y ≥ 3x 2 2?

s0, 1ds21, 3ds6, 27ds24, 7ds23, 5d

x < 2y 1 3?

s0, 9ds6, 0ds21, 4ds2, 2ds23, 2d

2x 2 3y > 24?

s22, 25ds5, 0ds1, 22ds0, 23ds2, 25d

2x 2 5y ≤ 8?b. Assign labels using two variables for the

verbal model in part (a).

c. Write an algebraic model based on thelabels assigned in part (b).

d. Graph the inequality in part (c).

e. Writing Explain why 100 minutes ofcalls within both the United States andCanada is a possible use of the prepaidphone card, while 80 minutes within theUnited States and 110 minutes withinCanada is not possible.

6. Multiple Choice Which inequality isrepresented by the graph shown?

A

B

C

D

E


A

B

C

D

E y Þ23

x 2 2

y ≥23

x 2 2

y >23

x 2 2

y ≤23

x 2 2

y <23

x 2 2

1

y

x1

y Þ 2x 1 1

y ≤ 22x 1 1

y < 22x 1 1

y ≥ 22x 1 1

y > 22x 1 1

1

y

x2

TEST TAKING STRATEGY When checking your answer to a question, try using a

method different from the one you used to get the answer.


2.6LESSON


Ch

apter 2

GA QCC: 1, 2, 8

GHSGT: 4, 5


1. Multiple Choice If

what is

A B

C D

E


what is

A B

C D

E


what is

A B 1

C 0 D 7

E 3


what is

A B 2

C D

E 212

2212

21

f s12d?

f sxd 5 5 2x,x,

22x,

ififif

21 ≤ x ≤ 00 < x ≤ 11 < x ≤ 2

,

25

f s1d?

f sxd 5 525,3,7,

ififif

23 < x < 00 ≤ x ≤ 11 < x < 4

,

0

212210

2122

f s3d?

f sxd 5 522x 2 6,x 2 4,

ifif

x > 2x ≤ 2

,

5

2321

325

f s21d?

f sxd 5 54x 1 1,2x 2 3,

ifif

x < 21x ≥ 21

,








5.

6.

7.

8.

9.

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


2.7LESSON


Ch

apte

r 2

Column A Column B

when

52x 1 1,x 2 3,

ifif

x ≥ 0x < 0

f sxd 5f s22d when

52x 1 4,x 1 5,

ifif

x < 3x ≥ 3

f sxd 5f s3d

when

5 5x,3x 1 1,

ifif

x < 2x ≥ 2

f sxd 5f s0d when

5 x 1 4,2x 1 7,

ifif

x ≥ 24x < 24

f sxd 5f s24d

when

523x 1 1,3 2 x,

ifif

x > 2x ≤ 2

f sxd 5f s1d when

526x 1 1,4x 2 1,

ifif

x ≤ 7x > 7

f sxd 5f s5d

when

512x 1 1,x 2 1,

ifif

x < 0x ≥ 0

f sxd 5f s24d when

5 x 2 4,23x 1 5,

ifif

x < 26x ≥ 26

f sxd 5f s26d

when

534x 1 2,

22x 2 4,ifif

x < 5x ≥ 5

f sxd 5f s7d when

515x 2 20,25x 1 12,

if

if

x ≥ 28

x < 28

f sxd 5f s10d

GA QCC: 8



A

B

C

D

E


A

B

C

D

E


A

B

C

D

E y 5 |3x| 1 2

y 5 |23x 1 2|y 5 2|3x| 1 2

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

2

y

x2

y 5 |2x 2 2|y 5 2|x| 1 2

y 5 |2x 1 2|y 5 |x| 1 2

y 5 |x 2 2|

1

y

x1

y 5 |2x| 2 1

y 5 |22x| 2 1

y 5 |22x 1 1|y 5 |2x 1 1|y 5 |2x 2 1|

1

y

x1








4.

5.

6.

7.

8. Multiple Choice Which statement is trueabout the graph of the function

A Its vertex is at

B Its vertex is at

C Its vertex is at

D Its vertex is at

E Its vertex is at s7, 3d.s10, 0d.s3, 7d.s27, 3d.s0, 10d.

y 5 |x 2 7| 1 3?





2.8LESSON


Ch

apter 2

Column A Column B

when x 5 22y 5 3|x| 1 4

when x 5 1y 5 |x 2 11|

when x 5 0y 5 |x 1 4|

when x 5 2y 5 |22x|

when x 5 12y 5 2|x 2 5|

when x 5 11y 5 2|2x 2 2| 2 6

when y 5 0y 5 |0.5x 2 8|

when y 5 0y 5 |0.25x 2 5|

GA QCC: 1, 2, 11, 12,14

GHSGT: 4, 44


1. Multiple Choice Which ordered pair is asolution of the following system of linearequations?

A B

C D

E


A B

C D

E

3. Multiple Choice How many solutions doesthe following system have?

A 0 B 1

C 2 D 3

E infinitely many

4. Multiple Choice How many solutions doesthe following system have?

A 0 B 1

C 2 D 3

E infinitely many

3x 1 6y 5 212

22x 2 4y 5 8

3x 2 y 5 14

3x 2 y 5 26

s3, 2ds23, 1ds21, 3ds3, 21ds3, 1d

2x 2 y 5 25

5x 1 3y 5 4

s2, 2ds21, 2ds1, 2ds2, 21ds2, 1d

2x 1 5y 5 27

x 2 3y 5 5

5. Multi-Step Problem You are choosingbetween two electricity providers. The ZapElectric Company charges $0.06 per kilowatthour plus a $6.55 monthly service fee. TheBolt Electric Company charges $0.12 perkilowatt hour plus a $2.83 monthly servicefee.

a. Let represent the number of kilowatthours you use in one month, and let yrepresent the total cost of your electricservice. Write the two equations represent-ing the cost of each company’s service forone month.

b. Graph the two equations from part (a) onthe same graph.

c. Estimate the coordinates of the point wherethe two graphs intersect.

d. Critical Thinking Explain which compa-ny to choose if you want to keep your costat a minimum and you use an average of82 kilowatt hours per month.

6. Multiple Choice Which system of linearequations is shown in the graph?

A

B

C

D

E

4x 2 2y 5 210

26x 1 3y 5 15

23

x 216

y 5 2

15

x 134

y 5 1

4x 1 5y 5 21

23x 2 4y 5 2

x 1 2y 5 26

12

x 1 y 5 3

2x 1 5y 5 7

x 2 2y 5 216

y

2

(26, 0) (6, 0)

(0, 3)

(0, 23)

x




3.1LESSON


Ch

apte

r 3

GA QCC: 11, 12, 14

GHSGT: 44



A B

C D

E


A B

C D

E


A B

C D

E s1, 23ds23, 21ds23, 1ds3, 21ds1, 3d

2x 2 8y 5 25

5x 1 6y 5 29

s21, 4ds24, 1ds1, 24ds4, 21ds1, 4d

2x 2 4y 5 214

23x 2 5y 5 223

s3, 5ds25, 3ds5, 23ds23, 25ds5, 3d

2x 2 y 5 13

x 1 2y 5 21








4.

5.

6.

7. Multiple Choice You sold 52 boxes ofcandy for your marching band fundraiser. The large size box costs $3.50 each and thesmall size box costs $1.75 each. If you sold$112.00 worth of candy, how many boxes ofeach size did you sell?

A 9 large boxes and 43 small boxes

B 10 large boxes and 42 small boxes

C 11 large boxes and 41 small boxes

D 12 large boxes and 40 small boxes

E 13 large boxes and 39 small boxes

TEST TAKING STRATEGY If you get stuck on a question, look at the answer choices

for clues.


3.2LESSON


Ch

apter 3

Column A Column B

the x-coordinate ofthe solution of:

6x 2 3y 5 29 22x 1 y 5 3

the x-coordinate ofthe solution of:

2x 1 5y 5 3 3x 2 2y 5 14 24

the y-coordinate ofthe solution of:

2x 1 y 5 16 x 2 3y 5 213

the y-coordinate ofthe solution of:

8x 1 5y 5 18 5x 2 2y 5 1

5

GA QCC: 13

GHSGT: 44


1. Multiple Choice Which ordered pair is nota solution of the following system of linearinequalities?

A B

C D

E


A B

C D

E


A B

C D

E s21, 1ds1, 2ds0, 0ds1, 22ds0, 1d

y ≥ 2x 2 1

y < 3

x ≥ 21

s21, 21ds3, 2ds22, 2ds1, 3ds0, 2d

y ≥12

x 2 2

y ≤ 2x 1 4

s3, 4ds3, 3ds1, 21ds21, 2ds2, 23d

y ≤ x

x < 4

Quantitative Comparison In Exercises 4

and 5, choose the statement below that is

true about the given quantities.





4.

5.

6. Multiple Choice Which system of linearinequalities is shown in the graph?

A

B

C

D

E

y > x 2 3y < 2x 1 3

y ≥ x 2 3y ≤ 2x 1 3

y > x 2 3y ≤ 2x 1 3

y < x 2 3y > 2x 1 3

y ≥ x 2 3y < 2x 1 3

1

y

x1

(0, 3)

(3, 0)

(0, 23)

TEST TAKING STRATEGY The best way to prepare for the SAT is to keep up with

your day-to-day studies.


3.3LESSON


Ch

apte

r 3

Column A Column B

x-coordinate in thesolution of:

y > 0y ≤ 22x 1 6 4

x-coordinate in thesolution of:

y <35

x 2 3

x ≤ 50

GA QCC: 15

GHSGT: 4


1. Multiple Choice What is the maximumvalue of the objective function subject to the following constraints?

A 0 B 3

C 6 D 18

E 24

2. Multiple Choice What is the minimumvalue of the objective function subject to the following constraints?

A B

C 0 D 6

E 30

3. Multiple Choice Given the feasible regionshown, which is the maximum value of theobjective function

A 0

B 10

C 140

D 240

E 285

5

y

x5

(20, 20)

(40, 0)

(45, 15)

(0, 0)

(0, 10)

C 5 6x 1 y?

2428

y ≥23

x 2 4

y ≤ 0

x ≥ 0

C 5 5x 1 2y

y ≤ 22x 1 6

y ≥ 0

x ≥ 0

C 5 2x 1 3yQuantitative Comparison In Exercises 4–6,


about the given quantities using the

objective function subject

to the following constraints.





4.

5.

6.

7. Multiple Choice Given the feasible regionshown, which is the minimum value of theobjective function

A

B

C 0

D 12

E 30

25

215

2

y

x2

(0, 5)(4, 7)

(6, 0)

(0, 24)(3, 26)

C 5 4x 2 3y?

y ≥ x

y ≤ 2x 1 3

y ≥ 0

x ≥ 0

C 5 4x 1 5y


method different from the one you used to get the answer.


3.4LESSON


Ch

apter 3

Column A Column B

maximum value of C 6

minimum value of C 0

maximum value of C 7.5

GA QCC: 1, 2, 11, 12

GHSGT: 4


1. Multiple Choice Which linear equation isgraphed below?

A

B

C

D

E

2. Multiple Choice Which linear equation isgraphed below?

A

B

C

D

E 2x 1 y 1 z 5 23

2x 2 y 1 z 5 23

2x 1 y 2 z 5 23

2x 1 y 2 z 5 3

2x 2 y 2 z 5 23

x

z

y

(25, 0, 0)

(0, 0, 23)

(0, 4, 0)

x 2 y 2 2z 5 10

x 2 y 1 2z 5 10

x 1 y 2 2z 5 10

x 2 y 2 2z 5 210

x 2 y 1 2z 5 210

x

z

y

(5, 0, 0)

(0, 0, 4)

(0, 3, 0)

3. Multiple Choice At which point does thegraph of cross the x-axis?

A B

C D

E

4. Multiple Choice At which point does thegraph of cross the z-axis?

A B

C D

E








5.

6.

s0, 0, 27ds0, 2, 0ds24, 0, 0ds4, 0, 0ds0, 0, 7d

7x 2 14y 2 4z 5 228

s1, 0, 0ds0, 0, 2ds12, 0, 0ds21, 0, 0ds0, 3, 0d

12x 1 4y 2 6z 5 12

TEST TAKING STRATEGY The mathematical portion of the SAT is based on concepts

and skills taught in high school mathematics courses.


3.5LESSON


Ch

apte

r 3 Column A Column B

f s1, 2d

25s15 1 x 2 3yd,

f sx, yd 5

f s7, 4d

25s15 1 x 2 3yd,

f sx, yd 5

f s1, 2d

16s24 2 2x 1 5yd,

f sx, yd 5

f s4, 3d

16s24 2 2x 1 5yd,

f sx, yd 5

GA QCC: 11, 12

GHSGT: 44


1. Multiple Choice Which ordered triple is asolution of the following linear system?

A B

C D

E


A B

C D

E

3. Multiple Choice How many solutions doesa system of linear equations in three variableshave if in solving the system you correctlyobtain the equation

A 0 B 1

C 2 D 3

E infinitely many

22 5 22?

s1, 0, 22ds21, 0, 2ds1, 0, 2ds2, 21, 0ds2, 0, 21d

3x 1 y 2 z 5 5

x 2 3y 1 2z 5 23

2x 1 3y 2 z 5 4

s22, 1, 4ds22, 21, 4ds2, 1, 4ds2, 21, 4ds2, 1, 24d

x 1 y 2 z 5 21

x 1 y 1 z 5 7

x 2 y 1 z 5 5


A B

C D

E

5. Multi-Step Problem You have $12 to spendon picking 9 pints of three different types ofberries at the Berry-Fine Berry Field. Thestrawberries cost $1.20 per pint, the blackber-ries cost $2.00 per pint, and the raspberriescost $1.40 per pint. You want twice as manystrawberries as the other two kinds combined.

a. Write a system of equations to representthe given information.

b. How many pints of each type of berryshould you buy?

c. Critical Thinking Explain if it’s possibleto increase the amount of pints for eachtype of berry by 25% if the Berry Farmoffers a 25% discount and still spendwithin your $12 limit.

6. Multiple Choice How many solutions doesa system of linear equations in three variableshave if in solving the system you correctlyobtain the equation

A 0 B 1

C 2 D 3

E infinitely many

0 5 7?

s22, 23, 21ds22, 23, 1ds22, 3, 1ds2, 3, 21ds2, 23, 21d

5x 2 2y 1 4z 5 0

3x 1 y 1 3z 5 6

24x 2 3y 1 2z 5 219

TEST TAKING STRATEGY If you start to get tense during a test, put your pencil down

and take some deep breaths. This may help you regain

control.


3.6LESSON


Ch

apter 3

GA QCC: 1, 2, 47

GHSGT: 3, 4, 12, 13, 14


1. Multiple Choice Which matrix equals

A B

C D

E


A B

C D

E


A B

C D

E 3 2229

654

3229

262543 14

232

2543222

96

25432143

2254

23 223

044 2 3326

122

14?

353

2134

3 152343215

234

3153432

53

2134

313 1234 1 326

242?

3 25211

28284

3235

44433

524

4433

54443 5

11884

3218

264 1 3 4

2326224?

4. Multi-Step Problem The matrices show thenumber of gallons of gasoline sold and theaverage price per gallon (in dollars) for thethree different grades of gasoline.

1998 (A) 1999 (B)Gallons Price Gallons Price

a. Calculate How many more (orfewer) gallons of supreme gas were sold in 1999 than in 1998? How much more (or less) did regular gas cost in 1999 thanin 1998?

b. Calculate During the years 1998and 1999, which grade of gasoline sold themost? Which grade sold the least?

c. Does the matrix in part (b) give you infor-mation about how much money was madein gasoline sales during 1998 and 1999?

d. Critical Thinking Explain whether ornot you can conclude from the matrix inpart (a) that the less you raise the price pergallon the more gasoline you will sell.


A B

C D

E 3 30.5

0.444

3 2320.5

20.42443 23

20.50.4244

3 2320.5

0.4443 3

0.520.4

24432

62

248

25

1234?

B 1 A.

B 2 A.

3742,883

1,167,1291,516,084

$1.53$1.42$1.334

SupremePlus

Regular 3

862,4961,026,2111,128,453

$1.45$1.32$1.264


for clues.


4.1LESSON


Ch

apte

r 4

GA QCC: 2

GHSGT: 3, 4


1. Multiple Choice If A is a matrix andB is a matrix, what are the dimensionsof

A B

C D

E is not defined

2. Multiple Choice If is a matrix andis a matrix, what are the dimensions

of

A B

C D

E is not defined

3. Multiple Choice What is the product of

and

A B

C D

E








3 912

222264

3 9212

2222643 2

21228334

382

2122643 6

22428274

303

2264?322

13

244

AB

3 3 11 3 3

3 3 31 3 1

AB?3 3 1B

1 3 3A

BA

5 3 44 3 5

5 3 54 3 4

BA?5 3 4

4 3 5

4.

5.

6.

7. Multiple Choice What is if

and

A B

C D

E 3 82264

3241443 8

2643 4

2144328264

C 5 3524?B 5 321

04A 5 3 326

22214,

AsB 1 Cd





4.2LESSON


Ch

apter 4

Column A Column B

Number of rows inthe matrix

33214

Number of columnsin the matrix

3 223

246

054

The value of x in

322

4143

104 5 3x

24.

The value of y in

30y4.

3210

3443

23214 5

The value of x in

5 f4 x 211g.

f22 3g312

04

4214

The value of y in

5 3y84.

311

03

22243

5104

GA QCC: #

GHSGT: #


1. Multiple Choice What is the determinant of

A 0 B

C D

E 36


A 38 B

C D

E


A B

C D

E 42








106230

30242

320

26

2142

31

244?

217

52238

252

3 428

25234?

23612

212

3 123

264?

4.

5.

6.

7. What is the area of the triangle in squareunits?

A 4 B 8

C 12 D 16

E 20

1

y

x1

(4, 2)

(1, 1)

(2, 4)

TEST TAKING STRATEGY Some college entrance exams allow the optional use of

calculators. If you do use a calculator, make sure it is one

you are familiar with and have used before.


4.3LESSON


Ch

apte

r 4

Column A Column B

det 3 225

0244 det 31

2874

det 3406

2131

122

54 det 36

213

12121

24

224The area of a trianglewith vertices

ands24, 23d

s26, 1d,s5, 2d,

The area of a trianglewith vertices

and s25, 3ds6, 1d,s10, 24d,

GA QCC: 2

GHSGT: 3, 4

GA QCC: 1, 2

GHSGT: 3, 4


1. Multiple Choice What is the inverse of

A B

C D

E

2. Multiple Choice What is the inverse of

A B

C D

E

3. Multiple Choice Which matrix has noinverse?

A B

C D

E 3 321

2624

32321

26243 3

21624

331

2624323

216

224

3211

2454

311

242543 1

214

254321

2145435

124214

32521

414?

32223

584

3225

238433

228254

325

2328432

5384

385

23224?

4. Multiple Choice What is the solution of

A B C

D E








5.

6.

7.

32534323

543 3

254353433

54

324

134X 5 321

34?

TEST TAKING STRATEGY If you start to get tense during a test, put your pencil

down and take some deep breaths. This may help you

regain control.


4.4LESSON


Ch

apter 4

Column A Column B

The value of x in the inverse of

A21 5 3x2

13254.

A 5 352

1354;

The value of y inthe inverse of

B21 5 3y2

734.

B 5 3 322

2754;

The value of x in

5 3217224.

3216

4243

1x4

The value of y in

5 32004.

343

0543

y234

The value of x in the inverse of

A21 5 31x

262134.

A 5 3132

26214;

The value of y in the inverse of

B21 5 3 7210

y234.

B 5 3 3210

2274;

GA QCC: #

GHSGT: #


1. Multiple Choice Which system of linearequations is represented by the matrixequation

A B

C D

E

2. Multiple Choice Which matrix equation isused to solve the linear system

A

B

C

D

E

3. Multiple Choice Which inverse matrix canbe used to solve the linear system

A B

C D

E 32225

21234

3 225

123432

5134

32225

134322

521

34

23x 2 y 5 235x 1 2y 5 4

?

3226

21543

xy4 5 324

124322

65

2143yx4 5 3 4

2124322

56

2143yx4 5 324

124322

56

2143xy4 5 324

124322

65

2143xy4 5 324

124

22x 1 5y 5 246x 2 y 5 12

?

24x 1 y 5 103x 2 2y 5 7

24x 1 y 5 724x 2 2y 5 103x 2 2y 5 103x 1 y 5 7

22x 1 y 5 724y 1 y 5 73x 2 4y 5 103x 2 2x 5 10

3 324

22143

xy4 5 310

74?

4. Multiple Choice Which matrix is the solu-tion matrix for the linear system

A B C

D E

5. Multiple Choice Which matrix is the solu-tion matrix for the linear system

A B C

D E

6. Multi-Step Problem The Fresh Fruit & JellyCompany sells three different gift arrange-ments consisting of various types of fruits andjellies. The basic arrangement of 2 fruits and3 jelly jars costs $12. The large arrangementof 4 fruits and 5 jelly jars costs $21. Thedeluxe arrangement of 6 fruits and 10 jellyjars costs $40.

a. Write and solve a system of equationsusing the information about the basic andlarge arrangements.

b. Write and solve a system of equationsusing the information about the large anddeluxe arrangements.

c. Writing Compare the results from parts(a) and (b) and make a statement aboutwhy there is a discrepancy.

32434323

2443 3

2443344323

44

2x 1 5y 5 2234x 2 2y 5 20

?

321343 1

234321

2343 321431

34

4x 2 2y 5 21025x 2 6y 5 213

?

TEST TAKING STRATEGY If you use the same method to find and check an answer,

you may make the same mistake twice.


4.5LESSON


Ch

apte

r 4

GA QCC: 12, 14

GHSGT: 3, 4, 44

GA QCC: 1, 2, 28, 29

GHSGT: 4


1. Multiple Choice What is the vertex of thegraph of

A B

C D

E


A B

C D

E


A B

C D

E

4. Multiple Choice What is the axis of sym-metry of the graph of

A B

C D

E x 5 212

x 5 26x 5 2

x 5 22x 5 6

y 5 212sx 1 2dsx 2 6d?

s2, 21ds0, 13ds22, 21ds2, 1ds22, 1d

y 5 3x2 2 12x 1 13?

s3, 16ds3, 264ds21, 5ds1, 25ds3, 64d

y 5 24sx 2 1dsx 1 5d?

s22, 6ds4, 7ds22, 26ds2, 6ds0, 7d

y 514sx 2 2d2 1 6?

5. Multi-Step Problem A golf ball is hit fromground level into the air following the path ofthe equation (Assume thex-axis is ground level.)

a. If you assume the point at which the golfball is hit is at what point does theball come down and hit the ground?

b. If you assume all points to be in terms ofyards, how far was the ball from the golferwhen it hit the ground?

c. At what point did the golf ball reach itsmaximum height?

d. What was the maximum height of the golfball in terms of yards?

e. Critical Thinking Find the equation forthe path of the golf ball if it still lands thesame distance from the golfer as in part (b)but reaches a maximum height of 125yards instead of the maximum heightfound in part (d).

6. Multiple Choice What is the standard formof the quadratic function

A

B

C

D

E y 5 25x2 1 20x 1 2

y 5 25x2 1 20x 2 2

y 5 5x2 2 20x 1 2

y 5 5x2 2 20x 2 2

y 5 25x2 2 20x 2 2

y 5 25sx 1 2d2 1 18?

s0, 0d,

y 5 20.1x2 1 10x.


questions quicker.


5.1LESSON


Ch

apter 5

GA QCC: 1, 21, 26, 28,29

GHSGT: 4, 33


1. Multiple Choice What is a correct factoriza-tion of

A B

C D

E


A B

C D

E


A B

C D

E

4. Multiple Choice If is a perfectsquare trinomial, what is the value of

A B

C D

E 29

36212

912

c?x2 2 6x 1 c

s3x 2 4dsx 1 1ds3x 1 4dsx 1 1ds3x 2 1dsx 1 4ds3x 2 4dsx 2 1ds3x 1 4dsx 2 1d

3x2 2 x 2 4?

sx 2 8dsx 1 2dsx 2 4dsx 2 4dsx 2 8dsx 2 2dsx 1 4dsx 2 4dsx 1 8dsx 2 2d

x2 1 6x 2 16?

sx 2 2dsx 1 5dsx 1 1dsx 1 10dsx 2 2dsx 2 5dsx 1 2dsx 2 5dsx 1 1dsx 2 10d

x2 2 7x 1 10?Quantitative Comparison In Exercises 5–7,







5.

6.

7.

8. Multiple Choice What are all solutions of

A B

C D

E 1, 3

22, 122

31

2x2 2 5x 5 x2 2 6x 1 2?

TEST TAKING STRATEGY If you get stuck on a question, select an answer choice and

check to see if it is a reasonable answer to the question.


5.2LESSON


Ch

apte

r 5

Column A Column B

The value of a in thefactorization of

sx 2 adsx 2 5dx2 2 8x 1 15;

The value of b inthe factorization of

sx 2 3dsx 2 bdx2 2 8x 1 15;


sax 2 1ds3x 1 2d6x2 1 x 2 2;


sx 2 bds3x 1 4d3x2 2 20x 2 32;


s2x 2 1dsx 1 ad2x2 1 11x 2 6;


s3x 1 2dsx 2 bd3x2 2 16x 2 12;

GA QCC: 1, 2, 21, 26,28, 29

GHSGT: 4


1. Multiple Choice What is the simplifiedform of the expression

A B

C D

E


A B

C D

E


A B

C D

E

4. Multiple Choice What are the solutions of

A B

C D

E 2!2

±22!2

±2!2±!2

2x2 2 3 5 13?

2!1515

!2!3015

!215

!2!15

! 215

?

3!24

3!366!6

2!54!216

!12 ? !18?

9!2

!3!549!18

3!543!18

!162?Quantitative Comparison In Exercises 5–8,







5.

6.

7.

8.

TEST TAKING STRATEGY During the test, do not worry excessively about how

much time you have left. Concentrate on the question

in front of you.


5.3LESSON


Ch

apter 5

Column A Column B

The value of x in!54 5 3!x

The value of y in !108 5 y!3

The solution(s) ofsx 1 3d2 5 0

The solution(s) ofsx 1 5d2 5 0

The solution(s) of

1x 2122

25 0

The solution(s) of

sx 2 6d2 5 0

4x 2 23x2 2 8x 1 13 5

The value of x in 12

5 x2

The value of y in

!45

52!5

y

GA QCC: 1, 21, 24, 25

GHSGT: 3, 4


1. Multiple Choice What does the productequal?

A B

C D

E


A B

C D

E


A B

C D

E

4. Multiple Choice What does the quotient

equal?

A B

C D

E29 1 7i

13

3 2 7i213

9 2 7i13

6 2 3i2

1332

213

3 1 i2 2 3i

15 1 24i

215 2 24i215 1 24i

15i2 2 24i15 2 24i

23is8 1 5id

3 2 66i

3 2 42i23 1 66i

251 2 66i27 2 24i2s3 2 6ids9 2 4id

229 1 41i

21 1 41i229 2 41i

21 2 41i215 2 14i2s25 2 2ids3 1 7id








5.

6.

7.

8. Multiple Choice Which complex number isfarthest from the origin in the complex plane?

A B

C D

E

9. Multiple Choice Which complex number isfarthest from the origin in the complex plane?

A B

C D

E 9i

25 1 5i4 1 2i

9 2 i28 1 i

28i

24 2 7i6 1 i

3 2 2i6i

TEST TAKING STRATEGY If you keep up your homework, both your problem-solving

abilities and your vocabulary will improve.


5.4LESSON


Ch

apte

r 5

Column A Column B

|23 1 i| |1 2 3i|

|24 1 3i| |25 1 i||5i| |26 2 i|

GA QCC: 1, 2, 21, 26,29

GHSGT: 4


1. Multiple Choice If is a per-fect square trinomial, what is the value of

A 5 B 10

C 25 D 50

E 100

2. Multiple Choice If is a per-fect square trinomial, what is the value of

A 16 B 32

C 96 D 256

E 1024

3. Multiple Choice If is a perfectsquare trinomial, what is the value of

A B

C D

E


A B

C D

E25 1 i!26

2

25 2 i!262

5 ± !262

25 ± !262

25 ± 2!13

x2 1 5x 2 7 5 0?

32

112

14

18

c?x2 2 x 1 c

c?x2 2 32x 1 c

c?x2 1 10x 1 c Quantitative Comparison In Exercises 5–7,







5.

6.

7.


A B

C D

E3 ± i!3

2

3 ± 3i!32

23 ± i!32

23 ± 3i!32

1 ± !3

x2 2 3x 1 9 5 0?




5.5LESSON


Ch

apter 5

Column A Column B

The value of c thatmakes the expression

a per-fect square trinomialx2 1 24x 1 c

The value of c thatmakes the expression

a per-fect square trinomialx2 2 14x 1 c


sax 1 bdsx 2 5d2x2 1 7x 2 15;

The value of in thefactorization of

scx 2 1dsbx 2 1d6x2 2 5x 1 1;

b

The value of a in thesolutions of

23 2 !a ds23 1 !a,

x2 1 6x 1 2 5 0;

The value of b in thesolutions of

5 2 2!b ds5 1 2!b,

x2 2 10x 2 3 5 0;

GA QCC: 1, 21, 24, 25,26, 27, 29

GHSGT: 4, 35



A B

C D

E


A B

C D

E


A B

C D

E1 ± 3i!3

2

1 1 i!62

1 ± i!62

1 2 3i!32

1 ± 3!32

x2 2 3x 5 22x 2 7?

29 2 !654

29 2 5!134

29 ± 5!134

29 1 !654

29 ± !654

2x2 1 9x 1 2 5 0?

1 ± 2!32

1 ± 3!52

21 ± 2!32

21 ± 3!52

1 1 3!52

x2 1 x 5 11?Quantitative Comparison In Exercises 4–7,







4.

5.

6.

7.

8. Multiple Choice How many real andimaginary solutions does the equation

have?

A 2 real solutions, no imaginary solutions

B 1 real solution, no imaginary solutions

C 1 real solution, 1 imaginary solution

D no real solutions, 2 imaginary solutions

E no real solutions, 1 imaginary solution

2x2 2 7x 1 9 5 x 1 1

TEST TAKING STRATEGY When taking a test, go back and answer questions that you

suspect will take you extra time and effort.


5.6LESSON


Ch

apte

r 5

Column A Column B

Discriminant ofx2 1 2x 2 9 5 0

Discriminant ofx2 2 6x 1 3 5 0

Discriminant of

2 2k 5 03kx2 1 2!6x

Discriminant of2x2 1 4kx 2 3 5 0

Greatest zero of

5x2 1 2x 2 1f sxd 5

Least zero of

3x2 2 8x 1 2f sxd 5

Least zero of

6x2 1 7x 2 4f sxd 5

Greatest zero of

5x2 2 12x 2 14f sxd 5

GA QCC: 24, 25, 26

GHSGT: 4



A

B

C

D

E


A

B

C

D

E

3. Multiple Choice Which quadratic inequalityis graphed?

A

B

C

D

E y ≥ x2 2 3

y ≤ sx 1 3d2

y ≤ sx 2 3d2

y ≤ x2 1 3

y ≥ x2 1 3

2

y

x2 (3, 0)

(0, 9)

x < 25 or x > 4

24 < x < 5

x > 25 or x < 4

25 < x < 4

x 5 25 or x 5 4

x2 1 x 2 20 > 0?

23 < x < 2

x > 2 or x < 3

x > 22 or x < 3

x 5 2 or x 5 3

2 < x < 3

x2 2 5x 1 6 < 0?4. Multi-Step Problem A manufacturer has

determined that the demand for a certainproduct is and the supplyequation for the same product is The product’s price per unit is (in dollars)and represents the number of units (in thou-sands).

a. Graph both equations in the same coordi-nate plane.

b. The points of intersection of the twographs are called the points of equilibrium.What are the points of equilibrium forthese two equations?

c. What is the demand for the product at $4 per unit?

d. What is the supply for the product at $5 per unit?

e. Critical Thinking Explain how the graphindicates that it does not make sense forthe manufacturer to try to sell the productfor more than $5.

5. Multiple Choice Which quadratic inequalityis graphed?

A

B

C

D

E y > 2x2 1 4x 2 3

y > 2x2 2 4x 2 3

y > x2 2 4x 2 3

y < x2 2 4x 2 3

y < 2x2 2 4x 2 3

1y

x1

(23, 0)

(0, 23)

(22, 1)

(21, 0)

qp

q 5 p 1 4.q 5 2p2 1 8p 2 6

TEST TAKING STRATEGY During a test, draw graphs and figures in your test booklet

to help you solve problems.


5.7LESSON


Ch

apter 5

GA QCC: 2, 28, 29, 49

GHSGT: 4, 14, 16


1. Multiple Choice Which quadratic functioncannotbe represented by the graph shown?

A

B

C

D

E

2. Multiple Choice Which quadratic functioncannotbe represented by the graph shown?

A

B

C

D

E y 5 2sx 1 1d2 1 16

y 5 2x2 2 2x 1 15

y 5 2sx 1 3dsx 2 5dy 5 2sx2 1 2x 2 15dy 5 2sx 2 3dsx 1 5d

3

y

x6

(25, 0) (3, 0)

(21, 16)

y 512

sx 2 2dsx 2 1d

y 512

sx2 2 3x 1 2d

y 5121x 2

322

22

12

y 512

x2 232

x 1 1

y 512

sx 1 2dsx 1 1d

1

y

x1

3. Multiple Choice Which quadratic functionin vertex form has a graph with the vertex

and passes through the point

A

B

C

D

E

4. Multiple Choice Which quadratic functionin vertex form has a graph with the vertex

and passes through the point

A

B

C

D

E

5. Multi-Step Problem The table below shows the number of phone calls p that asalesperson makes and the actual number offace-to-face appointments a with potentialcustomers arranged by those phone calls.

a. Find the ratios Do phone calls vary

directly with appointments?

b. Find the ratios What do you notice?

c. Use the result of part (b) to write aquadratic model for p as a function of a.

d. Find the number of phone calls required if the salesperson needs to arrange 25appointments.

pa2.

pa

.

y 5 sx 1 3d2 1 6

y 5 2sx 2 3d2 2 6

y 5 2sx 1 3d2 2 6

y 5 sx 1 3d2 2 6

y 5 2sx 1 3d2 1 6

s2, 231d?s23, 26d

y 5 3sx 2 2d2 1 2

y 5 3sx 1 2d2 2 2

y 5 3sx 1 2d2 1 2

y 5 3sx 2 2d2 2 2

y 5 23sx 1 2d2 1 2

s23, 1d?s22, 22d

TEST TAKING STRATEGY Even though you must keep your answer sheet neat, you

can make any kind of mark you want in your test booklet.


5.8LESSON


Ch

apte

r 5

Appointments, a 8 10 11 14 15 18Phone calls, p 22 34 42 66 78 110

GA QCC: 3, 16, 17

GHSGT: 3, 19, 33


1. Multiple Choice What is the value of

A B 64

C D 256

E


A 27 B 54

C 216 D 243

E 729

3. Multiple Choice What is the simplifiedexpression of

A B

C D

E

4. Multiple Choice What is the simplifiedexpression of

A B

C D

E9x6

4y8

9y8

4x6

9y6

4x5

3y8

2x6

2x6

3y8

12x23

3y24222?

125x8

2125x2125x8

25x25x

s25x22d3x7?

s32d3?

24096

2256

264

222 ? 24?Quantitative Comparison In Exercises 5–8,







5.

6.

7.

8.

9. Multiple Choice What is divided by

A B

C D

E 5.0 3 1012

5.0 3 102125.0 3 10213

0.50 3 102130.50 3 1012

2.50 3 108?1.25 3 1024

TEST TAKING STRATEGY Long-term preparation for the SAT can be done through-

out your high school career and can improve your overall

abilities.


6.1LESSON


Ch

apter 6

Column A Column B

s40ds62d s23d2s22d

s25d22s4d21 1022

1272

23 1452

23

3.6 3 10211 1.2 3 10210

GA QCC: 1, 2, 3

GHSGT: 4, 33


1. Multiple Choice Which one of the follow-ing is a polynomial function?

A

B

C

D

E

2. Multiple Choice What type of polynomialfunction is

A constant B linear

C quadratic D cubic

E quartic

3. Multiple Choice What is the value ofwhen

A 88 B 96

C D 148

E


when

A 11 B

C 7 D

E 19

211

29

x 5 21?f sxd 5 28x5 1 6x4 2 5x3 1 10x2 1 9x 2 1

2148

296

x 5 2?f sxd 5 6x4 2 3x3 1 5x2 2 x 1 6

f sxd 5 4x3 2 2x2 2 x 1 11?

f sxd 5 2x 1 9x

fsxd 5 x2 1 !3x 2 7

f sxd 5 25x24 2 3x22

f sxd 5 3x3 2 2x22 1 x

f sxd 5 2x2 2 4x

5. Multi-Step Problem To determine whethera Holstein heifer’s height is normal, a veteri-narian can use the cubic functions

where is the minimum normal height (ininches), is the maximum normal height (in inches), and is the age (in months).

a. What is the normal height range for a 12-month-old Holstein heifer.

b. Describe the end behavior of each func-tion’s graph.

c. Graph the two height functions.

d. Writing Suppose a veterinarian examinesa Holstein heifer that is 36 inches tall.How old do you think the heifer is? How did you get your answer?

6. Multiple Choice What is the time (in seconds) it takes a camera battery torecharge after 150 flashes if the model is

where is time (in seconds) and is thenumber of flashes?

A about 17 seconds

B about 20 seconds

C about 21 seconds

D about 24 seconds

E about 25 seconds

nt0.000015n3 2 0.0034n2 1 0.25n 1 5.3t 5

tH

L

H 5 0.001t3 2 0.08t2 1 2.3t 1 31

L 5 0.0007t3 2 0.061t2 1 2.02t 1 30





6.2LESSON


Ch

apte

r 6

GA QCC: 3, 16, 17

GHSGT: 3, 33


1. Multiple Choice What is the sum ofand

A

B

C

D

E

2. Multiple Choice What is subtracted from

A

B

C

D

E

3. Multiple Choice What is the product ofand

A

B

C

D

E

4. Multiple Choice What doesequal?

A

B

C

D

E x3 2 4x2 2 7x 1 10

x3 1 4x2 1 7x 2 10

x3 1 4x2 1 7x 1 10

x3 1 4x2 2 7x 2 10

x3 2 4x2 2 7x 2 10

sx 1 5dsx 2 2dsx 1 1d

22x3 2 7x2 1 7x 2 2

22x3 1 7x2 1 7x 1 2

22x3 1 7x2 2 7x 1 2

2x3 2 7x2 1 7x 2 2

22x3 2 6x 1 2

sx 2 2d?s22x2 1 3x 2 1d

4x3 2 16x2 2 15x 1 7

4x3 2 16x2 1 15x 1 1

4x3 1 16x2 1 3x 1 7

24x3 1 16x2 1 15x 2 7

14x3 2 20x2 1 3x 1 1

9x3 2 18x2 2 6x 1 4?2 35x3 2 2x2 1 9x

x3 1 2x2 2 5x 2 2

x3 2 2x2 2 5x 1 2

2x3 2 2x2 1 5x 2 2

x3 2 2x2 1 5x 2 2

x3 1 2x2 1 5x 1 2

2 7?26x3 2 8x2 1 10x7x3 1 6x2 2 5x 1 5

5. Multiple Choice

A

B

C

D

E

6. Multi-Step Problem Suppose two sisterseach make three deposits in accounts earningthe same annual interest rate r (expressed as adecimal).

Simmons, MartaDate Transaction Amount1/1/98 Deposit $2000.001/1/99 Deposit $3600.001/1/00 Deposit $3200.00

Simmons, LaurenDate Transaction Amount1/1/98 Deposit $2500.001/1/99 Deposit $3000.001/1/00 Deposit $4600.00

a. Write the worth of Marta’s account onJanuary 1, 2001 in the form where is the amount deposited, is therate (expressed as a decimal), and is thenumber of years. Write a similar expres-sion for the worth of Lauren’s account onJanuary 1, 2001.

b. Find the total value of the two accountsand write it as a polynomial in standardform.

c. Writing Explain how to find the totalworth of both accounts on January 1, 2001if the rate is a constant 6% over the threeyears.

trP

Ps1 1 rdt

8x3 2 60x2 1 150x 1 125

8x3 2 60x2 1 150x 2 125

8x3 1 60x2 2 150x 1 125

8x3 2 60x2 2 150x 2 125

8x3 2 30x2 1 150x 2 125

s2x 2 5d3 5 ?

TEST TAKING STRATEGY Long-term preparation will definitely affect not only your

SAT scores, but your overall future academic performance

as well.


6.3LESSON


Ch

apter 6

GA QCC: 17, 31

GHSGT: 33


1. Multiple Choice Which of the following isthe factorization of

A

B

C

D

E


A

B

C

D

E

3. Multiple Choice Which polynomial has thefactorization

A B

C D

E

4. Multiple Choice What are all the real solu-tions of the equation

A B

C D

E 4

21, 423, 1, 4

23, 21, 423, 1

x3 2 13x 5 12?

64x3 2 48x2

64x3 2 27x264x3 2 48

64x3 1 2764x3 2 27

s4x 2 3ds16x2 1 12x 1 9d?

s2x 2 5ds4x2 2 10x 2 25ds2x 1 5ds4x2 1 10x 2 25ds2x 1 5ds4x2 2 10x 2 25ds2x 2 5ds4x2 2 10x 1 25ds2x 2 5ds4x2 1 10x 1 25d

8x3 2 125?

sx 1 4dsx2 2 4x 1 16dsx 1 4dsx2 1 4x 2 16dsx 2 4dsx2 2 4x 1 16dsx 2 4dsx2 2 4x 2 16dsx 1 4dsx2 1 4x 1 16d

x3 1 64?Quantitative Comparison In Exercises 5–7,







5.

6.

7.


A

B

C

D

E sx 1 4d2sx 1 5dsx 2 4dsx 1 4dsx 2 5dsx 2 4dsx 1 5d2

sx 2 4d2sx 1 5dsx 2 4dsx 1 4dsx 1 5d

x3 2 5x2 2 16x 1 80?




6.4LESSON


Ch

apte

r 6

Column A Column B

The coefficient a in thefactorization of

s3x 2 2dsax2 1 bx 1 cd27x3 2 8;

The coefficient b in thefactorization of

s3x 2 2dsax2 1 bx 1 cd27x3 2 8;

The constant a in thefactorization of

sx 1 4dsx 1 adsx 2 bdx3 2 4x2 2 25x 1 100;

The constant b in thefactorization of

sx 1 4dsx 1 adsx 2 bdx3 2 4x2 2 25x 1 100;

The greatest solution of

1 64 5 0x3 1 12x2 1 48x

The least solution of

1 20 5 0x3 2 2x2 2 19x

GA QCC: 17, 30, 31


1. Multiple Choice What is the result of divid-ing by

A

B

C

D

E

2. Multiple Choice What is the result of divid-ing by

A

B

C

D

E

3. Multiple Choice What is the factorization ofgiven that

A

B

C

D

E sx 1 2ds2x 1 1dsx 2 1dsx 2 2ds2x 2 1dsx 2 1dsx 2 2ds2x 1 1dsx 2 1dsx 2 2ds2x 2 1dsx 1 1dsx 2 2ds2x 1 1dsx 1 1d

f s2d 5 0?f sxd 5 2x3 2 x2 2 5x 2 2

3x2 1 4x 2 4 19

x 1 1

3x2 2 4x 2 4 19

x 1 1

3x2 2 10x 1 10 215

x 1 1

3x2 1 4x 1 4 11

x 1 1

3x2 1 10x 1 10 115

x 1 1

x 1 1?3x3 1 7x2 1 5

x2 2 2x 1 2 13

x 2 2

x2 1 2x 2 2 211

x 2 2

x2 1 2x 2 2 13

x 2 2

x2 2 2x 2 2 13

x 2 2

x2 2 2x 2 2 111

x 2 2

x 2 2?x3 2 6x 1 74. Multiple Choice What are the other zeros

of if one zerois

A B

C D

E








5.

6.

7. Multiple Choice Which of the following isa factor of the polynomial

A B

C D

E 2x 2 3

2x 2 1x 2 3

x 1 12x 1 1

2 3?2x3 1 5x2 2 4x

223

, 1

13

, 2221, 23

213

, 213

, 2

x 5 24?f sxd 5 3x3 1 17x2 1 18x 2 8




6.5LESSON


Ch

apter 6

Column A Column B

The greatest remainingzero of the function

if one zero is x 5 24x3 1 8x2 1 11x 2 20

f sxd 5

The least remainingzero of the function


f sxd 5

The greatest remainingzero of the function


f sxd 5

The least remainingzero of the function


f sxd 5

GA QCC: 17, 30, 31


1. Multiple Choice What are all the rationalzeros of

A B

C D

E

2. Multiple Choice What are all the rationalzeros of

A B

C D

E

3. Multiple Choice What are all the real zerosof

A B

C D

E


A B

C D

E


A B

C D

E ±3, ±4

24, ±324, 3

±3, 423, 4

f sxd 5 x4 2 2x3 2 23x2 1 24x 1 144?

25

15

21, 521, 25

f sxd 5 2x3 2 11x2 1 8x 2 15?

±1, ±2

21, ±221, 2

±1, 21, 2

f sxd 5 x4 2 5x2 1 4?

2, 6, 7

22, 6, 726, 2, 7

26, 22, 727, 26, 22

f sxd 5 x3 2 3x2 2 40x 1 84?

21, 3, 5

25, 1, 325, 21, 3

23, 1, 523, 21, 5

f sxd 5 x3 1 x2 1 17x 2 15?Quantitative Comparison In Exercises 6–9,







6.

7.

8.

9.


A B

C D

E ±1, ±2

1, 221, 2

22, 122, 21

f sxd 5 x4 1 2x3 1 x2 2 4?




6.6LESSON


Ch

apte

r 6

Column A Column B

The number of possiblerational zeros of

x4 2 3x3 1 2x2 1 18f sxd 5


x3 2 2x2 1 6x 1 24f sxd 5


x3 1 5x2 2 7x 1 6f sxd 5


1 5x2 2 x 2 10f sxd 5 x4 2 10x3

The greatest real zero of

x3 2 4x2 2 14x 1 12f sxd 5


x3 2 12x2 1 20x 2 48f sxd 5


x3 1 9x2 1 26x 1 24f sxd 5


x3 1 12x2 1 47x 1 60f sxd 5

GA QCC: 1, 2, 31, 32

GHSGT: 4


1. Multiple Choice How many zeros does thefunction have?

A 1 B 2

C 3 D 4

E 5

2. Multiple Choice How many zeros does thefunction have?

A 1 B 2

C 3 D 4

E 5

3. Multiple Choice What are the zeros of

A B

C D

E


A 2 B 1, 2

C D

E ±1, 2

± i, 2i, ±2

f sxd 5 x3 2 11x2 1 39x 2 45?

±3i, 5

25, 323, 5

3, 5±3, 5

f sxd 5 x3 2 11x2 1 39x 2 45?

f sxd 5 23x4 1 2x3 1 7x 2 5

f sxd 5 2x5 2 3x3 1 xQuantitative Comparison In Exercises 5







5.

6.

7. Multiple Choice What is the polynomialfunction of least degree that has real coeffi-cients, a leading coefficient of 1, and thezeros 1, and 4?

A

B

C

D

E

8. Multiple Choice What is the polynomialfunction of least degree that has real coeffi-cients, a leading coefficient of 1, and thezeros 1, 2, and

A

B

C

D

E f sxd 5 x4 2 3x3 1 6x2 1 12x 1 8

f sxd 5 x4 2 3x3 1 6x2 2 12x 2 8

f sxd 5 x4 2 3x3 1 6x2 2 12x 1 8

f sxd 5 x4 2 3x3 2 6x2 2 12x 2 8

f sxd 5 x4 1 3x3 2 6x2 1 12x 2 8

±2i?

f sxd 5 x3 1 6x2 2 5x 2 12

f sxd 5 x3 2 6x2 1 5x 2 12

f sxd 5 x3 2 6x2 2 5x 2 12

f sxd 5 x3 2 6x2 2 5x 1 12

f sxd 5 x3 2 6x2 1 5x 1 12

23,


method different from one you used to get the answer.


6.7LESSON


Ch

apter 6

Column A Column B

Number of zeros of the function

26x3 2 2x2 1 8f sxd 5


x5 1 4x2 1 3f sxd 5


x3 2 5x4f sxd 5

Number of zeros of the functionf sxd 5 x4 1 7x2

GA QCC: 1, 2

GHSGT: 4


1. Multiple Choice Which graph of the func-tion has the end behavior as

and as

A

B

C

D

E

2. Multiple Choice Which graph of the func-tion has the end behavior as

and as

A

B

C

D

E

3. Multiple Choice What is the local minimumof

A B

C D

E

4. Multiple Choice What is the local maxi-mum of

A B

C D

E s22, 24ds21, 1ds2, 24ds1, 23ds0, 24d

f sxd 5 22x3 1 3x2 2 4?

s4, 222ds22, 12ds2, 26ds0, 10ds1, 5d

f sxd 5 x3 2 6x2 1 10?

f sxd 5 s2x 2 3d2s2x 1 10d2

f sxd 5 2sx 1 3dsx 2 11d2

f sxd 523

sx 1 1ds2x 2 8d2

f sxd 5 234

sx 2 1d2sx 2 8d2


x → 2`?f sxd → 1`x → 1`f sxd → 2`

f sxd 5 s22x 2 5d2sx 1 6d2

f sxd 5 5sx 2 9d2sx 2 4d2

f sxd 514

s2x 1 1dsx 1 3d2


f sxd 513

sx 1 6dsx 2 5d2

x → 1`?f sxd → 1`x → 2`f sxd → 2`

5. Multi-Step Problem You are designing amonument for the city park. The monument is to be a rectangular prism with dimensions

feet, feet, and feet.

a. Write a function for the volume of themonument.

b. Use a graphing calculator to graph for

c. Writing Look back at your graph frompart (b). Identify the local maximums andlocal minimums. Do these values representmaximum and minimum possible volumesof the monument? Explain.

d. If the volume of the monument is to be210 cubic feet, what will the dimensionsbe?

6. Which function is graphed?

A

B

C

D

E f sxd 5 22sx 1 1dsx 2 2dsx 1 3df sxd 5 sx 2 1dsx 2 2dsx 1 3df sxd 5 2sx 2 1dsx 1 2dsx 2 3d

f sxd 5 212


f sxd 512


4

y

x2

210 ≤ x ≤ 10.f sxd

f sxdx 2 5x 2 1x 1 2

TEST TAKING STRATEGY If the answer to a question is formulas, substitute the

given numbers into the formulas to test the possible

answers.


6.8LESSON


Ch

apte

r 6

GA QCC: 1, 2, 31, 47,49

GHSGT: 4, 12, 13, 14, 16


1. Multiple Choice Which cubic function isgraphed?

A

B

C

D

E

2. Multiple Choice The graph of which cubicfunction passes through the points

and

A

B

C

D

E f sxd 5 sx 2 3dsx 1 4dsx 2 2df sxd 5 22sx 2 3dsx 1 4dsx 2 2d

f sxd 5 212


f sxd 512


f sxd 5 2sx 2 3dsx 1 4dsx 2 2ds1, 5d?s2, 0d,s24, 0d,

s3, 0d,

f sxd 513


f sxd 5 3sx 2 1dsx 2 2dsx 1 4d

f sxd 513


f sxd 5 213


f sxd 513


2

y

x2

3. Multiple Choice Which cubic functionmodels the data shown?

A

B

C

D

E

4. Multi-Step Problem Your friend has ahouse-cleaning service and your cousin has alawn-care service. You plan to start a smallbusiness of your own. You are trying todecide which of the two services you shouldchoose. The profits for the first 6 months areshown in the table.

a. Use finite differences to find a polynomialmodel for each business.

b. Writing You want to choose the businessthat will make the greater profit inDecember (when ). Explain whichbusiness you should choose and why.

t 5 12

f sxd 5 x3 1 5x2 2 3x 2 6

f sxd 5 2x3 2 5x2 2 3x 2 6

f sxd 5 x3 2 5x2 1 3x 2 6

f sxd 5 2x3 1 5x2 2 3x 1 6

f sxd 5 x3 1 5x2 1 3x 2 6




6.9LESSON


Ch

apter 6

x 1 2 3 4 516 57 126 22923f xxc

Month, t 1 2 3 4 5 6

Profit, P 4 10 33 73 130 204

Month, t 1 2 3 4 5 6

Profit, P 4 12 36 76 132 204

House-cleaningserviceLawn-careservice

GA QCC: 20, 22

GHSGT: 2, 19



A B

C D

E


A 10 B

C D

E


A B

C D

E


A 9 B

C D

E

5. Multiple Choice If what does xequal?

A 2 B

C D

E 4

±4±2

22

x6 5 64,

±19

2919

±9

1 12432

22y5?

±1

125

21

125125

1125

±125

2523y2

32

110

132

232

45y2?

±14

214

14

244

2641y3?6. Multiple Choice If what does

equal?

A 3 B

C D 9

E

7. Multi-Step Problem A board foot is a unitfor measuring wood. One board foot has avolume of 144 cubic inches. The Doyle logrule, given by

is a formula for approximating the number bof board feet in a log with length l (in feet)and radius r (in inches). The total volume V(in cubic inches) of wood in the main trunkof a Douglas fir can be modeled by where r is the radius of the trunk at the baseof the tree. Suppose you need 6000 boardfeet from a 40 foot Douglas fir log.

a. What volume of wood do you need?

b. What is the radius of a log that will meetyour needs?

c. What is the total volume of wood in themain trunk of a Douglas fir that will meetyour needs?

d. If you find a suitable tree, what fraction ofthe tree would you actually use?

e. Writing How does your answer in part(d) change if you instead need only 2000board feet?

V 5 2503

b 5 l1r 2 22 22

,

±9

23

±3

x3x5 5 2729,




7.1LESSON


Ch

apte

r 7

GA QCC: 17, 21, 22

GHSGT: 19, 33


1. Multiple Choice What is

A B

C D

E


A B

C D 3

E 4

3. Multiple Choice What is the simplifiedform of

A B

C D

E


A B

C D

E 7s251y3d12s51y3d7s51y3d71y3351y3

3s51y3d 1 4s51y3d?

2 4!3

2 3!33 4!2

3 3!23!2

4!162?

23

222

5!4 ? 5!8?

63y4

61y6361y6

361y861y8

61y2 ? 61y4? Quantitative Comparison In Exercises 5–7,







5.

6.

7.


A B

C D

Ex

5!y3

5! xy3

x3

y5

x5

y15

xy3

5! x5

y15 ?

TEST TAKING STRATEGY If you start to get tense during a test, put your pencil down

and take some deep breaths. This may help you regain

control.


7.2LESSON


Ch

apter 7

Column A Column B

81y3 321y5

2272y3 s 1100d21y2

3!6 ? 3!12 !3 ? !24

GA QCC: 9

GHSGT: 19


1. Multiple Choice Which of the following istrue if and

A

B

C

D

E

2. Multiple Choice Which of the following istrue if and

A

B

C

D

E

3. Multiple Choice If andwhat is

A B

C D

E


A B

C D

E 9x2 2 24x 1 16

3x2 2 33x2 2 1

9x2 2 12x 1 179x2 2 24x 1 17

gs f sxdd?gsxd 5 x2 1 1,fsxd 5 3x 2 4

x2 1 x 2 2

x2 1 7x 1 11x2 2 7x 1 11

x2 1 x 1 8x2 1 x 1 2

f sgsxdd?gsxd 5 x 1 3,f sxd 5 x2 1 x 2 1

hsxd 5 f sgsxdd

hsxd 5f sxdgsxd

hsxd 5 f sxd ? gsxdhsxd 5 f sxd 2 gsxdhsxd 5 f sxd 1 gsxd

hsxd 5 25x7y8?f sxd 5 10x5y4, gsxd 5 22x3y8

hsxd 5 f sgsxdd

hsxd 5f sxdgsxd

hsxd 5 f sxd ? gsxdhsxd 5 f sxd 2 gsxdhsxd 5 f sxd 1 gsxd

hsxd 5 6x1y4?fsxd 5 3x1y2, gsxd 5 2x21y4

5. A shoe store advertises that it is having a20% off sale. For one day only, the storeadvertises an additional savings of 10%. What would be the sale price of a $50 pair of shoes?

A $15 B $26

C $35 D $36

E $42








6.

7.

8.




7.3LESSON


Ch

apte

r 7

Column A Column B

whereand

gsxd 5 7x2

f sxd 5 22xf sgs3dd where

andgsxd 5 4x

f sxd 5 x1y2

f sgs1dd

whereand

gsxd 5 x2 1 3f sxd 5 x2

gsgs0dd whereand

gsxd 5 x4

f sxd 5 24x2

f s f s22dd

whereand

gsxd 5 6x3

f sxd 5 !x

f sgs2dd whereand

gsxd 5 4!x

f sxd 5 x1y2

gs f s9dd

GA QCC: 1, 2, 10

GHSGT: 4, 19


1. Multiple Choice Which function is theinverse of

A

B

C

D

E


A

B

C

D

E


A

B

C

D

E

4. Multiple Choice Which of the following hasan inverse function?

A B

C D

E f sxd 5 2x6 2 4

f sxd 5 3x4f sxd 5 x4 1 1

f sxd 5 2x3f sxd 5 x2

f21sxd 5 3!4x 1 4

f21sxd 5 3!4x 2 1

f21sxd 5 3!4x 2 4

f21sxd 5 3!x 2 1

f21sxd 5 3!4x

f sxd 514x3 1 1?

f21sxd 513

x 1103

f21sxd 5 23x 1 10

f21sxd 5 23x 2 10

f21sxd 5 213

x 1 10

f21sxd 513

x 1 10

f sxd 5 3x 2 10?

f21sxd 5 25x 2 40

f21sxd 5 5x 1 40

f21sxd 5 25x 1 40

f21sxd 5 215

x 2 8

f21sxd 515

x 1 8

f sxd 5 215x 1 8?








5.

6.

7.

8. Multiple Choice Which of the followingpairs are inverse functions?

A B

C D

E

gsxd 5 5!x

f sxd 5 2x5

gsxd 5x1y3

3gsxd 5 1x

622y3

f sxd 5 27x3f sxd 5 6x2y3

gsxd 5 2 4!xgsxd 5x2

5

f sxd 512

x4f sxd 5 5x1y2




7.4LESSON


Ch

apter 7

Column A Column B

wheref sxd 5 2x 2 3f21s2d where

f sxd 5 5x 1 4f21s21d

wheref sxd 5 x3 1 1f21s27d where

f sxd 5 2x3 1 2f21s26d

wheref sxd 5 22x5 1 22f21s242d where

f sxd 5 x5 2 6f21s26d

GA QCC: 1, 2

GHSGT: 4, 19


1. Multiple Choice Which function isgraphed?

A

B

C

D

E


A

B

C

D

E y 5 2!x 1 2 2 1

y 5 2!x 1 2 1 1

y 5 !x 1 2

y 5 2!x 1 2

y 5 !x 1 2 1 1

1

y

x2

(22, 1)

y 5 !x 2 3

y 5 !x 1 3 2 2

y 5 !x 2 3 2 2

y 5 !x 2 3 1 2

y 5 !x 1 3

1

y

x1

(3, 2)

3. Multiple Choice Which is the domain andrange of

A

B

C

D

E

4. Multiple Choice Which is the domain andrange of

A

B

C

D

E

5. Multi-Step Problem The fetch (in nauti-cal miles) of the wind at sea is the distanceover which the wind is blowing. The mini-mum fetch required to create a fully devel-oped storm can be modeled by

where is the speed (in knots) of the wind.

a. Graph the model.

b. Determine the wind speed if the minimumfetch is 92.42 nautical miles.

c. Determine the minimum fetch required tocreate a fully developed storm if the windspeed is 28 knots.

d. Writing Using the model graphed in part(a) explain whether a fully developedstorm is created if the wind speed is 24knots and the fetch is 80 nautical miles.

s

s 5 3.1 3!f 1 10 1 11.1

f

x ≤ 1, y ≥ 23

x ≤ 1, y ≥ 3

x ≥ 21, y ≤ 23

x ≥ 1, y ≤ 3

x ≥ 1, y ≥ 3

y 5 5!x 2 1 1 3?

x ≥ 23, y ≥ 8

x ≥ 23, y ≥ 28

x ≥ 23, y ≤ 28

x ≥ 3, y ≤ 28

x ≥ 23, y ≤ 8

y 5 26!x 1 3 2 8?




7.5LESSON


Ch

apte

r 7

GA QCC: 23

GHSGT: 19


1. Multiple Choice What is the solution of theequation

A B 40

C 60 D 85

E 140


A 0 B 5

C D 10

E


A 0 B 2

C 4 D

E

4. Multiple Choice What is (are) the solu-tion(s) of the equation

A B

C D

E


A B

C D

E 213

32

23

313

3!120x 1 24 5 3!240x 2 10?

3

±3±1

2121, 3

!7 2 2x 5 x 2 2?

24

22

!3x 1 4 5 2 2 !x?

210

25

s2x 1 15d1y2 2 2 5 3?

12

3 3!x 1 4 5 12?6. Multiple Choice What is the solution of the

equation

A B

C D

E

Quantitative Comparison In Exercises

7–10, choose the statement below that is






7.

8.

9.

10.

2

266

216

16

4!57 2 4x 5 4!69 2 2x?


questions quicker.


7.6LESSON


Ch

apter 7Column A Column B

The solution of theequation

24!x 1 1 5 216


3!x 1 2 5 12


3!2x 1 9

3!6x 2 1 5


3!7x 2 2

3!9 2 4x 5


2x5y2 5 2048


!6x 2 32 5x2


!x2

5 8


3!2x3

5 5

GA QCC: 1, 2, 48, 49

GHSGT: 4, 11, 12, 13,14, 15, 16


1. Multiple Choice What is the mean of 2, 3.6,4, 5.2, 6, 8, 10, 12.4?

A 6.1 B 6.4 C 6.2

D 6.8 E 6.5

2. Multiple Choice What is the mean of 7.4,9.6, 10.2, 10.8, 14.6, 14.6, 18, 25.2, 32.7?

A 14.6 B 14.9 C 15.2

D 15.6 E 15.9

3. Multiple Choice What is the median of 8, 2,10, 11, 1, 7, 3?

A 11 B 8 C 7

D 3 E 6.9

4. Multiple Choice What is (are) the mode(s)of 4, 8, 6, 10, 6, 1, 2, 8, 11, 7, 6, 5, 1, 8?

A 1, 6, 8 B 1, 8 C 6, 8

D 8 E 6

5. Multiple Choice What is the standard devi-ation of 8, 15, 18, 22, 30, 34?

A 8.2 B 8.8 C 9.0

D 9.1 E 9.4

6. Multiple Choice Which data set matchesthe box-and-whisker plot shown?

A 1, 2, 2, 5, 8, 10, 11

B 1, 2, 3, 4, 6, 10, 11

C 1, 2, 5, 5, 6, 11

D 1, 2, 4, 6, 8, 10, 11

E 1, 2, 6, 6, 10, 10, 11

7. Multi-Step Problem In an AP Historycourse consisting of 18 students the followingscores (100 possible points) were achieved ona comprehensive exam.

98 84 88 91 99 98100 92 76 80 84 9782 71 100 77 98 76

a. Find the median.

b. Find the mean.

c. Find the standard deviation.

d. Find the mode(s).

e. Construct a box-and-whisker plot.

f. Writing National scores for this testrange from a minimum of 58 to a maxi-mum of 100. The median is 82, the lowerquartile is 78, and the upper quartile is 86.Explain using the box-and-whisker plotfrom (e) whether these student scores aremore spread out overall or more spread outabout the mean as compared with thenational scores.

0 2 4 6 8 10 12

1 3 6 9 11




7.7LESSON


Ch

apte

r 7



A 5 B C 25

D E


A B C 4

D E


A or

B

C or

D

E or


A B C

D E


A 2 B 2, 5 C

D E 25, 2± i, 2

i, ±5

f sxd 5 x3 1 x2 2 16x 1 20?

35

53

235

75

253

s5, 28d?s210, 1d

x > 4x < 26

24 < x < 6

x < 4x > 26

26 < x < 4

x 5 4x 5 26

x2 1 2x 2 24 > 0?

12

6

212

26

24x 2 13 5 11?

±2525

225

21252y3?6. Multiple Choice The variables x and y very

directly, and when Whichequation relates the variables?

A B

C D

E


A B 12 C 24

D E 108

8. Multiple Choice Which matrix is the solu-tion matrix of the linear system?

A B C

D E

9. Multiple Choice If you drive 528 miles and you average 16.5 miles per gallon, howmuch do you spend for gas if it costs $1.35 a gallon?

A $43.00 B $43.15 C $43.20

D $43.30 E $43.35


A B

C D

E 4x2 2 12x 1 7

4x2 2 6x 1 72x2 2 7

2x2 2 54x2 1 12x 1 7

gs f sxdd?gsxd 5 x2 2 2,f sxd 5 2x 2 3

326443 4

264324

2643 624434

64

23x 1 2y 5 2245x 2 y 5 26

212

224

s26d 2 s218d

y 512

x

y 5 2xy 5 34x

y 5117

xy 5 17x

x 5 17.y 5 34

Cumulative Standardized Test PracticeFor use after Chapter 7

7CHAPTER


Ch

apter 7









11.

12.

13.

14.

15.

16.


A B

C D

E

18. Multiple Choice Which cubic functionmodels the data shown?

A

B

C

D

E f sxd 5 2x3 2 2x2 1 5x 1 7

f sxd 5 2x3 2 2x2 2 5x 2 7

f sxd 5 x3 2 2x2 1 5x 1 7

f sxd 5 x3 1 2x2 2 5x 2 7

f sxd 5 x3 2 2x2 1 5x 2 7

s1, 8ds4, 210ds21, 8ds1, 28ds4, 10d

y 5 22sx 1 1dsx 2 3d?


A

B

C

D

E

20. Multiple Choice Which inequality is asolution of

A B

C D

E


A B

C D

E

22. Multiple Choice

A

B

C

D

E 28x3 1 36x2 2 54x 1 27

8x3 1 36x2 2 54x 1 27

8x3 2 36x2 1 54x 2 27

8x3 2 36x2 2 54x 2 27

8x3 1 36x2 1 54x 1 27

s2x 2 3d3 5 ?

y < 2x 2 2

y ≤ x 1 2y < x 1 2

y ≥ x 2 2y > 2x 1 2

1

y

x1

x ≤ 21

x ≥ 4x ≥ 24

x ≥ 1x ≤ 4

25sx 2 2d ≥ x 2 14?

f21sxd 514

x 1154

f21sxd 5 214

x 1154

f21sxd 5 24x 2 15

f21sxd 5 24x 1 15

f21sxd 514

x 1 15

f sxd 5 24x 1 15?



Ch

apte

r 7

7CHAPTER

CONTINUED

Column A Column B

s225d 4 54s3 2 8d 1 25 3 10 2 s14 2 39d

The value of x when4x 2 13 5 22x 1 5

The value of x when3sx 2 1d 5 2x 2 11

when x 5 22f sxd 5 x2 2 3x 1 1

when x 5 22f sxd 5 2x2 1 x 2 3

x-intercept of2x 1 3y 5 212

slope of220x 1 5y 5 10

s22d23s5d22 2s5d22s64d21y2

det 3221

674 det 3 2

215

234

x 1 2 3 4 53 17 45 9323f xxc



A B

C D

E

24. Multi-Step Problem You are selling twotypes of candy assortments. One type costs$2.50 for each box and the other type costs$3.00 for each box.

a. Let x represent one type of candy and let yrepresent the other type. Write a model thatexpresses the total number of boxes andanother which represents the amount ofincome made from selling all of the boxes.

b. You have a total of 65 boxes to sell andyour team leader would like you to raise atleast $182.50. Write a system of linearequations and solve the system to deter-mine the amount of each type of candy youwill need to sell.

c. Graph the system of equations from part(b) on the same graph. Estimate the coordi-nates of the point where the two graphsintersect.

d. Writing Explain which method would bebest to use in determining the amount ofeach type of candy to sell.

25. Multiple Choice At which point does thegraph of cross the z-axis?

A B

C D

E s0, 0, 23ds0, 28, 0ds24, 0, 0ds4, 0, 0ds0, 0, 3d

6x 2 3y 2 8z 5 24

s26, 1ds21, 26ds1, 6ds21, 6ds6, 1d

x 1 2y 5 1122x 2 3y 5 216


A B

C D

E

27. Multiple Choice What type of polynomialfunction is

A constant B linear

C quadratic D cubic

E quartic


A B 2 C

D 3 E 4


A

B

C

D

E


A 2 B 5 C

D E 2, 5


A B

C D

E 322524

472504

3254

24725043 17

2147

25043217

747

250432254

472504

243 121

2584 2 337

029

64?

22, 5

22

2x2 1 5s3x 2 4d 5 5x2 2 6x 1 10?

sx 1 6d2sx 1 2dsx 2 6dsx 1 6dsx 2 2dsx 2 2dsx 1 6d2

sx 2 6d2sx 1 2dsx 2 2dsx 1 2dsx 1 6d

x3 1 10x2 1 12x 2 72?

2322

6!4 ? 6!16?

fsxd 5 22x3 1 5x2 2 7x 1 32?

34 1 31i

234 1 i34 2 31i

34 1 i10 2 24i2s2 2 3ids5 1 8id



Ch

apter 7

7CHAPTER

CONTINUED


32. Multiple Choice A ladder 30 feet in lengththat hits the wall at a height of 24 feet has aslope of

A B C

D E








33.

34.

35.

36.

37.

38.

45

53

35

43

34

? .

39. Multiple Choice What is when

A B C

D 95 E


A 4 B 2 C

D E 624

26

!2x 2 3 5 7 2 !3x 2 2?

297

97295131

x 5 2?2 2x3 2 x2 2 4x 1 11f sxd 5 5x5 2 3x4



Ch

apte

r 7

7CHAPTER

CONTINUED

Column A Column B4!3 ? 4!12 6!25 ? 6!5

solution ofx2 1 8x 5 216

solution ofx2 2 12x 1 16 5 220

when x 5 23y 5 22|x 2 2| 5 1

when x 5 22y 5 3|x| 2 15

at f s21, 2df sx, yd 5 3x 2 5y 1 4

at f s25, 2df sx, yd 5 3x 2 5y 1 4

solution of4x 1 8y 5 212 y 5 2

24

the y-coordinate of thesolution of

25x 1 2y 5 212x 1 3y 5 8

GA QCC: 1, 2, 36, 38,40, 41

GHSGT: 4, 12, 13, 14



your day to day studies.


8.1LESSON


4. Multiple Choice Suppose you deposit$10,000 in an account that pays 7% annualinterest. What is the balance after three yearsif the interest is compounded monthly?

A $12,100.45 B $12,329.26

C $12,251.13 D $12,862.94

E $12,914.55

5. Multi-Step Problem A local bank advertis-es two special savings accounts. You have$500 and you want to decide which offer isthe best investment.

a. One account offers 4.9% compoundeddaily. Write a formula that gives the balance of this account at the end of one year.

b. The other account offers 5% compoundedquarterly. Write a formula that gives thebalance of this account at the end of oneyear.

c. Determine the balance of the accountusing the formula from part (a).

d. Determine the balance of the accountusing the formula from part (b).

e. Writing Explain which account is thebest investment and whether the interestrate or compounding period is of moreimportance.


A

B

C

D

E


A

B

C

D

E

3. Multiple Choice What is the range of

A B

C D

E y > 3

y < 3y > 21

y < 1y > 5

y 5 5s3dx22 2 1?

f sxd 5 2s0.5dx 1 1

f sxd 5 22s0.5dx 1 1

f sxd 5 2s0.5dx 2 1

f sxd 5 2s0.5dx

f sxd 5 22s0.5dx11

2y

x2

(0, 21)

f sxd 5 24s0.3dx 2 2

f sxd 5 24s0.3dx22

f sxd 5 4s0.3dx22

f sxd 5 4s0.3dx

f sxd 5 4s0.3dx 2 2

1

y

x2

(0, 2)

Ch

apter 8

GA QCC: 1, 2, 38, 40,41

GHSGT: 4


1. Multiple Choice Which of the following isan exponential decay function?

A B

C D

E

2. Multiple Choice Which of the following isan exponential decay function?

A B

C D

E

3. Multiple Choice Which function is graphed?

A B

C D

E

4. Multiple Choice What is the range of thegraph

A B

C D

E y < 2

y > 5y < 5

y < 22y > 2

y 5 5s14dx11

1 2?

f sxd 5 2s5dx

f sxd 5 2s15dx

f sxd 5 22s15dx

f sxd 5 s15dx

f sxd 5 2s15d2x

1

y

x1

(0, 2)

f sxd 5 8s83dx

f sxd 5 2s5d2xf sxd 5 7s25d2x

f sxd 5 3xf sxd 5 4s23d2x

f sxd 5 3s65dx

f sxd 5 6s45d2x

f sxd 5 5s13d2x

f sxd 5 3s43d2x

f sxd 5 4s2dx

5. Multiple Choice What is the range of thegraph

A B

C D

E

6. Multi-Step Problem You have bought a newcar for $26,500. The value y of the cardecreases by 18% each year.

a. Write an exponential decay model for thevalue of the car.

b. Use the model to estimate the value of thecar after three years.

c. Graph the model.

d. Use the graph to estimate when the carwill have a value of $18,000.

e. Writing Explain if there is a point atwhich the car will have almost no value.

y < 3

y > 23y < 0.3

y < 20.3y > 3

y 5 s0.3dx22 2 3?




8.2LESSON


Ch

apte

r 8

GA QCC: 38, 41

GHSGT: 4, 33, 35



A B C

D E

2. Multiple Choice What is the simplified

form of

A B

C D

E

3. Multiple Choice What is the simplifiedform of ?

A B

C D

E


A B C

D E

5. Multiple Choice What is the range of thefunction

A B

C D

E y > 23

y < 22y > 22

y < 3y > 3

y 5 e22sx11d 2 3?

10e2

20e48

20e2220e2210e240

5e28 ? s22e3d2?

16e12x

16e12x28e236x

8e12x4e12x2

s24e26xd2

28e7y4

28e2828e23

8e2828e3

216e7

2e4 ?

e22e2

2e22e215e215

e5 ? e23?Quantitative Comparison In Exercises 6–8,







6.

7.

8.

9. Multiple Choice What is the range of thefunction

A B

C D

E

10. Multiple Choice If you deposit $2000 in anaccount that pays 6.5% annual interest com-pounded continuously, what is the balanceafter three years?

A $2,134.32 B $5,835.96

C $2,415.90 D $2,168.51

E $2,430.62

y < 24

y < 21y > 20.5

y > 4y < 4

f sxd 5 3e0.5sx22d 1 4?




8.3LESSON


Column A Column B

s5e4d22s25e24d2

1

s!8se3dd22s2e2d3

2e23e4

Ch

apter 8

GA QCC: 1, 2, 37, 38,39, 40, 41

GHSGT: 4, 35


1. Multiple Choice Which of the following isequivalent to

A 25 B C 3

D 5 E


A B C 2

D E


A B C

D E

4. Multiple Choice What is the inverse of thefunction

A B

C D

E


A B

C D

E y 5 e3x

y 5 e3 2 xy 5 ex 2 3

y 5 x3 2 ey 5 3x 2 e

y 5 lnsx 1 3d?

y 515x

y 5 x5y 515

x

y 5 5xy 5 5x

y 5 log5 x?

3x14 x

4x3x43x

log4 64x?

21422

2414

log0.25 16?

13

15

log5 125?6. Multiple Choice What is the domain of the

function

A B

C D

E

7. Multiple Choice What is the domain of thefunction

A B

C D

E








8.

9.

10.

x ≤ 22

x > 2222 ≤ x ≤ 2

x < 22x ≥ 22

y 5 log0.2sx 1 2d?

x ≤ 7

x ≥ 727 ≤ x ≤ 7

x < 7x > 7

y 5 log3sx 2 7d?



as well.


8.4LESSON


Column A Column B

where

wheref sxd 5 log3 3

x

22f s22df sxd 5 log4 x

21f s 116d

log3 27log6 216

Ch

apte

r 8

GA QCC: 1, 2, 37, 38,40, 41

GHSGT: 4, 33


1. Multiple Choice What is the approximationof

A 0.774 B 1.723

C D 0.646

E

2. Multiple Choice What is the approximationof

A B

C 0.807 D

E 8.099

3. Multiple Choice Which of the following is

equivalent to

A

B

C

D

E

4. Multiple Choice What is the condensedexpression for

A B

C D

E log 22x23

log x23

2log 2x23

log 2x3log x3

2

3 log x 2 log 2?

3 log y 2 2 log x 2 4 log z

2 log x 1 3 log y 2 4 log z



6 log xy 2 4 log z

log x2y3

z4 ?

212.099

24.80720.208

log1/2 28?

20.774

21.547

log6 28?

5. Multiple Choice What is the condensedexpression for

A B

C D

E








6.

7.

8.

9. Multiple Choice Which of the following isnot correct?

A

B

C

D

E log2 2 1 log2 18 5 log2 36

log2 6 1 log2 6 5 log2 36

log2 3 1 log2 12 5 log2 36

log2 18 1 log2 18 5 log2 36

log2 4 1 log2 9 5 log2 36

x2 ln 3

ln 3x2ln 3x2

ln x2

33 ln x2

2 ln x 1 ln 3?





8.5LESSON


Column A Column B

log4 1024ln e6

log3 xln x

log 0.01ln e22

Ch

apter 8

GA QCC: 37, 38, 40, 41

GHSGT: 4



A 0 B 1 C 2

D 3 E 4


A 3.338 B 3.382 C 3.417

D 3.438 E 3.465


A 4.085 B 4.092 C 4.096

D 4.099 E 4.102


A B 0 C 1

D 2 E 4


A 2 B 6 C 9

D 11 E 14

log7 s4x 1 5d 5 2?

21

log6 s2x 2 7d 5 log6 sx 2 3d?

5x22 1 3 5 32?

3x 5 45?

44x 5 16x11?Quantitative Comparison In Exercises 6–8,







6.

7.

8.

9. Multiple Choice What is the extraneoussolution found in solving the equation

A B C 1

D 2 E

10. Multiple Choice What is the extraneoussolution found in solving the equation

A B C 6

D 3 E 26

12

23

log6 2x 1 log6 sx 1 3d 5 2?

23

2122

log2 4x 1 log2 sx 1 1d 5 3?


for clues.


8.6LESSON


Column A Column B

log3 sx 2 5d 5 2log4 sx 1 2d 5 2

53x 5 25x112x11 5 4x22

3x 5 125x 5 10

Ch

apte

r 8

GA QCC: 37, 38, 41, 47,49

GHSGT: 4, 13, 16


1. Multiple Choice Which function passesthrough the points and

A B

C D

E


A B

C D

E


A B

C D

E


A B

C D

E y 523

x3

y 513

x3y 525

x3

y 513

x2y 523

x2

s3, 18d?s1, 2d

y 515

x2

y 523

x3y 525

x3

y 513

x2y 523

x2

s3, 3d?s0, 0d

y 513

? 2x

y 516

? 2xy 516

? 3x

y 513

? 6xy 512

? 6x

s2, 1.5d?s1, 0.5d

y 5 5 ? 2x

y 5 3 ? 2xy 5 3 ? 5x

y 5 5 ? 3xy 5 2 ? 3x

s2, 45d?s0, 5d5. Multiple Choice Which function passes

through the points and

A B

C D

E


A B

C D

E








7.

8.

9.

y 5 5.1x0.15

y 5 5.1x0.32y 5 5.1x0.28

y 5 5.1x0.3y 5 5.1x0.2

s4, 8.58d?s1, 5.1d

y 5 2.5x0.39

y 5 2.5x0.35y 5 2.5x0.28

y 5 2.5x0.23y 5 2.5x0.1

s3, 3.84d?s1, 2.5d

TEST TAKING STRATEGY During the test, do not worry excessively about how much

time you have left. Concentrate on the question in front

of you.


8.7LESSON


Column A Column B

where where

where where

where where

f sxd 5 1.6 ? 3x1.2f sxd 5 3.2 ? 3x1.2

f s4df s3d

f sxd 513

? 7x0.14f sxd 5

12

? 4x0.32

f s4df s2d

f sxd 5 3 ? 6xf sxd 5 2 ? 5x

f s2df s3d

Ch

apter 8

GA QCC: 1, 2, 38, 40,41, 47, 49

GHSGT: 4, 13, 16


1. Multiple Choice What is where

A 0.3342 B 0.3487

C 0.3531 D 0.3672

E 0.3915

2. Multiple Choice What is where

A 5.76 B 5.81 C 5.83

D 5.88 E 5.93


A 0.15 B 0.18 C 0.22

D 0.27 E 0.31


A 1.15 B 1.24 C 1.28

D 1.29 E 1.36

152 1 5e22x 5 6?

301 1 6e25x 5 10?

f sxd 56

1 1 5e23x?

f s2d

f sxd 550

1 1 7e2x?

f s23d 5. Multiple Choice Which function isgraphed?

A

B

C

D

E

6. Multi-Step Problem Use the function

a. Find and

b. Sketch the graph.

c. Identify the asymptotes,y-intercept, andpoint of maximum growth.

d. Write and solve an equation to find thevalue of when equals 6. Label thispoint on your graph.

e. Writing Describe how the growthrepresented by this function changes overtime.

f sxdx

f s3d.f s22d, f s0d,

f sxd 57

1 1 5e2x .

f sxd 5 28

1 1 4e2x

f sxd 58

1 2 4ex

f sxd 58

1 2 4e2x

f sxd 58

1 1 4e2x

f sxd 58

1 1 4ex

2

y

x2





8.8LESSON


Ch

apte

r 8

GA QCC: 3, 19, 35

GHSGT: 13, 36




9.1LESSON


Ch

apter 9

1. Multiple Choice The variable x variesinversely with y. When Which equation relates x and y?

A B

C D

E

2. Multiple Choice The variable x variesinversely with y. When Which equation relates x and y?

A B

C D

E

3. Multiple Choice The variable z variesjointly with x and y. When and

Which equation relates x, y, and z?

A B

C D

E

4. Multiple Choice The variable z variesdirectly with y and inversely with x. When

and Which equationrelates x, y, and z?

A B

C D

E z 556xy

z 5xy56

z 58yx

z 5 8xyz 5 56xy

z 5 56.y 5 28,x 5 4

xyz 5 45

z 5145

xyz 519

xy

z 5 9xyz 5 45xy

z 5 45.y 5

12,x 5 10

y 5 0.15625x

xy 5 0.4xy 5 0.15625

y 5 0.4xxy 5 4

y 5 1.6.x 5 0.25,

xy 5 12.5

y 5 18xxy 5 18

xy 5225

y 5 12.5x

y 5 1.2.x 5 15,Quantitative Comparison In Exercises 5–7,


about the given quantities





5.

6.

7.

8. Multiple Choice The variable z varies jointlywith x and y. When and

Which equation relates x, y, and z?

A B

C D

E z 5 1.25xy

xyz 5 120z 55y4x

z 5 6xyz 5xy

120

z 5 120.y 5 4,x 5 24

Column A Column Bk where x varies k where x variesdirectly with y; inversely with y;

when when k where x varies k where y variesinversely with y; inversely with x;

when when k where z varies k where z varies

jointly with x and y; directly with x and y;and and

when when x 5 25x 5 8y 5 5z 5 15y 5 10z 5 120

x 5 0.5y 5 30x 5 3y 5 5

x 5 1.6y 5 0.5x 5 8y 5 10

GA QCC: 1, 2, 35

GHSGT: 4, 13


1. Multiple Choice Which of the following is afunction whose domain and range are allnonzeroreal numbers?

A B

C D

E None of these

2. Multiple Choice Which of the following is afunction whose domain and range are all realnumbers?

A B

C D

E None of these

3. Multiple Choice What are the asymptotes of

the graph of

A

B

C

D

E

4. Multiple Choice What are the asymptotes of

the graph of

A B

C D

E x 5 25, y 5 3

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

x 5 23, y 5 25x 5 3, y 5 3

y 53

2x 2 61 5?

x 5 27, y 5 218

x 5 2, y 5 218

x 5 218, y 5 7

x 5 218, y 5 27

x 5 18, y 5 2

y 52

x 1 182 7?

f sxd 55x 1 23x 2 11

f sxd 53x

2 8

f sxd 52x 2 9

3f sxd 5

xx 2 3

f sxd 5x

2x 2 8f sxd 5

4x 2 7x

f sxd 5x 2 1x 1 5

f sxd 56

2x 1 3

5. Multiple Choice What function is graphed?

A B

C D

E None of these

6. Multiple-Step Problem For parts (a)–(d),graph the function and identify the point atwhich the horizontal and vertical asymptotesintersect.

A B

C D

E Use your answers to parts (a)–(d) topredict the point of intersection of theasymptotes of the graph of

Check your prediction by graphing.

F Critical Thinking Generalize yourresults for any function of the form

y 5a

x 2 h1 k.

y 53

x 1 21 1.

y 53

x 1 22 1y 5

3x 2 2

2 1

y 53

x 2 21 1y 5

3x

y 51

x 1 21 3y 5

1x 2 2

1 3

y 51

x 1 22 3y 5

1x 2 2

2 3

2y

x4





9.2LESSON


Ch

apte

r 9

GA QCC: 1, 2

GHSGT: 4, 13


1. Multiple Choice What is the range of the

function

A All real numbers B

C D

E

2. Multiple Choice What is the range of the

function

A All real numbers B

C D

E


A B

C D

E y 53

sx 1 3d2

y 523

sx 2 3d2y 53

x2 1 3

y 523

x2 1 3y 5

23x2 2 3

1

y

x

3

23 < y ≤ 0

0 ≤ y ≤ 30 < y ≤ 3

23 ≤ y < 0

y 5215

x2 1 5?

0 < y ≤ 4

0 ≤ y ≤ 40 < y ≤ 8

0 ≤ y ≤ 8

y 58

x2 1 2?


A B

C D

E

5. Multiple-Step Problem The acceleration dueto gravity (in meters per second squared) ofa falling object at the moment it is dropped isgiven by the function

where h is the object’s altitude (in meters)above sea level.

A Graph the function.

B Find the acceleration due to gravity foran object dropped at an altitude of3,500,000 meters.

C Critical Thinking Explain how to usethis function to find the acceleration dueto gravity if the object’s altitude is givenin miles.

g9 53.99 3 1014

h2 1 s1.28 3 107dh 1 4.07 3 1013

g9

y 510

sx 1 5d2

y 5210

sx 2 5d2y 510

x2 1 5

y 5210

x2 1 5y 5

210x2 2 5

1

y

x1



as well.


9.3LESSON


Ch

apter 9

GA QCC: 1, 2, 3

GHSGT: 4, 38



form of

A B

C D

E

2. Multiple Choice What is the product

A B

C D

E

3. Multiple Choice What is the quotient

A B

C D

E x 1 8

x 1 6x 1 6x 1 8

x 1 8x 1 6

x 2 1

sx 1 6d 4x2 1 5x 2 6x2 1 7x 2 8

?

x 2 1x 2 2

1x 1 2

x 1 2

1x 2 2

x 2 2

x2 2 3x 2 10x2 2 6x 1 5

?x 2 1x2 2 4

?

x 1 2x 2 6

x 1 3x 1 6

x 1 3x 2 6

x 2 3x 2 6

x 2 2x 1 6

x2 2 3x 2 18x2 2 36

?


A B

C D

E

Quantitative Comparison In Exercises 5 and

6, choose the statement below that is






5.

6.

x 1 8x 2 2

x 2 11x 1 9

x 1 4x 2 2

x 2 2x 1 4

x 1 9x 2 2

x2 2 7x 2 44x2 1 6x 2 16

?x2 1 17x 1 72x2 2 2x 2 99

?




9.4LESSON


Ch

apte

r 9

Column A Column BThe coefficient a in The coefficient b inthe simplified form the simplified form

of of

The constant a in The constant b inthe product the product

x 1 ax 1 b

x 1 ax 1 b

x2 1 x 2 12x2 2 2x 2 3

?x2 1 3x 1 2

x2 1 12x 1 32;

x2 1 x 2 12x2 2 2x 2 3

?x2 1 3x 1 2

x2 1 12x 1 32;

ax2

byax2

by

6x2y7xy4 ?

14x2y3

3xy;

6x2y7xy4 ?

14x2y3

3xy;

GA QCC: 3, 17

GHSGT: 38


1. Multiple Choice What is the sum

A B

C D

E

2. Multiple Choice What is the sum

A B

C D

E

3. Multiple Choice What is the difference

A B

C D

Ex2 1 15

sx 1 3d2sx 2 3d

x2 2 15sx 2 3d2sx 1 3d

x2 2 15sx 1 3d2sx 2 3d

x2 1 x 2 15sx 1 3d2sx 2 3d

x2 2 x 2 15sx 1 3d2sx 2 3d

x 1 4x2 1 6x 1 9

21

x2 2 9?

x2 1 4x 2 23x2sx 2 2d

x2 1 4x 2 83x1(x 2 2d

x2 1 4x 2 83x2sx 2 2d

x2 1 43xsx 2 2d

x2 1 43x2sx 2 2d

43x2 1

x3x2 2 6x

?

12x3

49x2

3x2 1 4x49x2

3x2 1 4x7x2

3x2 1 4x7x

7x2

7x

3x2

7x1

4x7x

?4. Multiple Choice What is the simplified form

of the following complex fraction?

A B C

D E


6, choose the statement below that is true

about the given quantities





5.

6.

24x 1 14

64x 1 11

6x 1 5

24x 1 13

24x 1 3

6x 1 2

14

13

x 1 2

TEST TAKING STRATEGY Long-term preparation for the SAT can be done throughout

your high school career and can improve your overall

abilities.


9.5LESSON


Ch

apter 9

Column A Column BThe constant a The constant b

in the sum in the sum

The constant a The constant bin the difference in the difference

x2 2 ax 1 bx2sx 2 2d

x2 2 ax 1 bx2sx 2 2d

x 2 4x2 2

2x3 2 2x2 ;

x 2 4x2 2

2x3 2 2x2 ;

ax2 1 bx5x2sx 2 1d

ax2 1 bx5x2sx 2 1d

2x5x2 1

35xsx 2 1d ;

2x5x2 1

35xsx 2 1d ;

GA QCC: 3, 17, 18, 19

GHSGT: 38


1. Multiple Choice What is the solution of the

equation

A B C

D E


equation

A B C

D E


equation

A B C

D E

4. Multiple Choice What are all the the solu-

tions of the equation

A B C

D E 24, 2323

2423, 43, 4

26x 1 7

5x2

?

71

23273

25 2 x2

5 2x 1 1?

12

1

2221212

3x 2 1

5 4 19

x 2 1?

63

2152215

6x

223

5 24x?








5.

6.

7.

8. Multiple Choice What are all the solutions

of the equation

A B C

D E

9. Multiple Choice What are all the solutions

of the equation

A B C

D E 826, 8

28, 66, 828, 26

x 1 25

58

x 2 4?

325, 3

23, 53, 525, 23

25x 2 8

5x3

?




9.6LESSON


Ch

apte

r 9

Column A Column BThe solution of The solution of

The solution of The solution of

The solution of The solution ofx 1 6

35

3x 2 65

.23 1 x

85 x 2 10.

3x

125

57x

.x 2 1x 1 2

534

.

x 1 6x 2 3

5 227

.x8

216

5x 2 3

3.

GA QCC: 3, 33

GHSGT: 4, 35


1. Multiple Choice What is the distancebetween and

A 6.08 B 13.45

C 13.89 D 3.61

E 10.37

2. Multiple Choice What is the distancebetween and

A 6.38 B 7.21

C 10.0 D 15.62

E 16.12

3. Multiple Choice What is the midpoint ofthe line segment connecting and

A B

C D

E

4. Multiple Choice What is the midpoint ofthe line segment connecting and

A B

C D

E

5. Multiple Choice Which equation representsthe perpendicular bisector of the line segmentconnecting and

A B

C D

E y 5 2x 1 3

y 5 x 2 3y 5 x 1 3

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

s2, 24d?s26, 5d

s25, 23ds23, 25ds3, 5ds5, 23ds25, 3d

s23, 2d?s27, 4d

s211, 23ds11, 3ds3, 211ds23, 11ds3, 11d

s28, 15d?s2, 7d

s24, 6d?s10, 22d

s4, 28d?s25, 2d6. Multiple Choice Which equation represents

the perpendicular bisector of the line segmentconnecting and

A B

C D

E








7.

8.

9.

y 5 2x 2 4

y 5 2x 1 8y 5 22x 2 4

y 5 2x 2 8y 5 22x 1 8

s29, 5d?s3, 21d




10.1LESSON


Column A Column B

Distance betweenand s23, 0ds4, 1d

Distance betweenand

s23, 28ds6, 22d





Ch

apter 1

0

GA QCC: 1, 2, 28, 34

GHSGT: 4, 25


1. Multiple Choice What is the focus of theparabola with equation

A B

C D

E


A B

C D

E

3. Multiple Choice What is the directrix of theparabola with equation

A B

C D

E


A B

C D

E


A B

C D

E x 5 22

y 5 2y 5 8

y 5 28x 5 2

5x2 5 240y?

x 5 24

y 5 24y 5 4

x 5 21x 5 1

36x 5 9y2?

x 5 7

y 5 228y 5 7

y 5 27x 5 28

x2 5 228y?

s4, 0ds0, 2ds21, 0ds0, 1ds1, 0d

2y2 5 8x?

s0, 4ds0, 24ds0, 16ds16, 0ds4, 0d

16y 5 x2?6. Multiple Choice Which equation is

graphed?

A B

C D

E

7. Multi-Step Problem The cross section of atelevision antenna dish is a parabola and thereceiver is located at the focus.

a. If the receiver is located 5 feet above thevertex (assume the vertex is at the origin),find an equation for the cross section ofthe dish.

b. If the dish is 10 feet wide, how deep is it?

c. Critical Thinking If another televisionantenna dish is available that is 2.5 feetdeep with the same width as in part (b),where is the receiver located?

x2 5 2y

y2 5 212

xx2 512

y

y2 5 2xx2 5 212

y

6

y

x2




10.2LESSON


Ch

apte

r 1

0


1. Multiple Choice Which equation isgraphed?

A B

C D

E

2. Multiple Choice Which is the standard formof the equation where the point is ona circle whose center is the origin?

A B

C D

E

3. Multiple Choice Which is the standard formof the equation where the point is ona circle whose center is the origin?

A B

C D

E

4. Multiple Choice What is the equation of theline that is tangent to the circle at the point

A B

C D

E y 5 243

x 1253

y 5 243

x 2253

y 5 234

x 1 6

y 543

xy 543

x 1253

s4, 3d?x2 1 y2 5 25

2x2 2 2y2 5 90

x2 2 y2 5 63x2 1 3y2 5 120

x2 1 y2 5 3x2 1 y2 5 45

s3, 26d

5x2 1 5y2 5 25

x2 2 y2 5 8x2 1 y2 5 20

x2 1 y2 5 8x2 2 y2 5 20

s22, 4d

2x2 1 2y2 5 8

x2 2 y2 5 4x2 1 y2 5 4

x2 1 y2 5 16x2 2 y2 5 16

1

y

x1

5. Multiple Choice Suppose a signal from aradio transmitter tower can be received up to175 miles away. The following points repre-sent the locations of houses near the transmit-ter tower with the origin representing thetower. Which point is not within the range ofthe tower?

A B

C D

E








6.

7.

8.

s90, 150ds55, 185ds85, 100ds60, 125ds40, 120d

TEST TAKING STRATEGY If the answers to a question are formulas, substitute the


answers.


10.3LESSON


Column A Column B

The length of theradius of a circle

with equationx2 1 y2 5 12


with equation4x2 1 4y2 5 48









Ch

apter 1

0GA QCC: 1, 2, 34

GHSGT: 4, 25

GA QCC: 1, 2, 34

GHSGT: 4, 25


1. Multiple Choice What are the foci of theellipse

A B

C D

E

2. Multiple Choice What are the foci of theellipse

A B

C D

E

3. Multiple Choice What is the equation of theellipse with center at vertex at and co-vertex at

A B

C D

E

4. Multiple Choice What is the equation of theellipse with center at vertex at and focus at

A B

C D

Ex2

211

y2

255 1

x2

251

y2

215 1

x2

91

y2

255 1

x2

251

y2

95 1

x2

51

y2

35 1

s3, 0d?s5, 0d,s0, 0d,

y2

32

x2

25 1

x2

31

y2

25 1

x2

41

y2

95 1

x2

21

y2

35 1

x2

91

y2

45 1

s22, 0d?s0, 3d,s0, 0d,

s25, 0d, s0, 5ds23, 0d, s3, 0ds0, 23d, s0, 3ds0, 25d, s0, 5ds25, 0d, s5, 0d

17x2 1 8y2 5 136?

s22, 0d, s0, 2ds23, 0d, s3, 0ds0, 23d, s0, 3ds0, 22d, s0, 2ds22, 0d, s2, 0d

8x2 1 12y2 5 96?5. Multiple Choice What is the approximate

area of an ellipse that is 150 feet long and 25 feet wide?

A 6300 square feet B 3000 square feet

C 2100 square feet D 1000 square feet

E 1500 square feet

6. Multiple Choice What is the approximatearea of an ellipse that is 250 feet long and 80 feet wide?

A 63,000 square feet

B 31,000 square feet

C 42,000 square feet

D 28,000 square feet

E 16,000 square feet

7. Multi-Step Problem You are constructingan elliptical flower garden that is to be 16 feetlong and 8 feet wide.

a. Write an equation for the garden assumingthat the major axis of the garden is hori-zontal.

b. Graph the equation.

c. Label the vertices, co-vertices, and foci.

d. Determine the approximate area of thegarden.

e. Critical Thinking Explain what happensto the area of the garden if you increasethe length by 2 feet and shorten the widthby 2 feet.




10.4LESSON


Ch

apte

r 1

0

GA QCC: 1, 2, 34, 35

GHSGT: 4, 25



A

B

C

D

E None of these


A

B

C

D

E None of these

x2 2 36y2 5 36

36y2 2 x2 5 36

36x2 2 y2 5 36

y2 2 36x2 5 36

3

y

x3

9x2 2 16y2 5 144

16y2 2 9x2 5 144

9x2 1 16y2 5 144

9y2 2 16x2 5 144

2

y

x2

3. Multiple Choice What is the standard formof the hyperbola with foci at andvertices at

A B

C D

E None of these

4. Multiple Choice What is the standard formof the hyperbola with foci at andvertices at

A B

C D

E None of these

5. Multi-Step Problem A hyperbolic mirrorcan be used to take panoramic photographs.A camera is pointed toward the vertex of themirror and is positioned so that the lens is atone focus of the mirror.

a. Suppose a mirror has a cross sectionmodeled by the equation

where x and y are measured in inches.How far from the mirror is the lens?

b. Suppose a mirror has a cross sectionmodeled by the equation

where x and y are measured in inches.How far is the lens from the vertex of themirror?

c. Critical Thinking Find an equation forthe cross section of the mirror if the lens is8 inches from the vertex of the mirror andthe lens is positioned at the focus s0, 26d.

x2

82

y2

125 1

y2

42

x2

255 1

x2

92

y2

75 1

y2

72

x2

95 1

x2

72

y2

95 1

y2

92

x2

75 1

s±3, 0d?s±4, 0d

x2

42

y2

215 1

y2

42

x2

215 1

x2

212

y2

45 1

y2

212

x2

45 1

s0, ±2d?s0, ±5d




10.5LESSON


Ch

apter 1

0

GA QCC: 1, 2, 34

GHSGT: 4, 25


1. Multiple Choice Which of the following isan equation of the parabola whose vertex is at

and whose focus is at

A

B

C

D

E

2. Multiple Choice Which of the following isan equation of the circle whose center is at

and the radius is 4?

A

B

C

D

E

3. Multiple Choice Which of the following isan equation of the ellipse with foci at and and vertices at and

A

B

C

D

Esx 2 2d2

361

sy 1 4d2

205 1

sx 1 2d2

201

sy 2 4d2

365 1

sx 1 2d2

361

sy 2 4d2

205 1

sx 1 4d2

361

sy 2 2d2

205 1

sx 1 4d2

201

sy 2 2d2

365 1

s4, 4d?s28, 4ds26, 4d

s2, 4d

sx 2 3d2 2 sy 2 6d2 5 16

sx 1 3d2 1 sy 2 6d2 5 16

sx 1 3d2 2 sy 2 6d2 5 16

sx 1 3d2 1 sy 1 6d2 5 16

sx 2 3d2 1 sy 2 6d2 5 16

s23, 6d

sy 2 4d2 5 44sx 1 3dsx 1 3d2 5 44sy 1 4dsy 2 4d2 5 44sx 2 3dsx 2 4d2 5 44sy 1 3dsx 2 3d2 5 44sy 2 4d

s4, 8d?s4, 23d

4. Multiple Choice What conic does theequation represent?

A parabola B circle

C ellipse D hyperbola

E None of these

5. Multiple Choice What conic does the equa-tion represent?

A parabola B circle

C ellipse D hyperbola

E None of these








6.

7.

8.

x2 1 y2 2 4x 1 6y 1 9 5 0

y2 2 x2 2 6y 2 12x 2 28 5 0

TEST TAKING STRATEGY During the test, do not worry excessively about how much

time you have left. Concentrate on the question in front

of you.


10.6LESSON


Column A Column B

h in the standard formof the equation of acircle with center at

and radius is 3s6, 24d

k in the standard formof the equation of acircle with center at

and radius is 3s6, 24d

h in the standard formof the equation of aparabola with vertex at and focus

at s22, 6ds22, 3d

k in the standard formof the equation of aparabola with vertex at and focus

at s22, 6ds22, 3d

h in the standard formof the equation of a

hyperbola with vertices at and s1, 10ds1, 28d

k in the standard formof the equation of a

hyperbola with vertices at and s1, 10ds1, 28d

Ch

apte

r 1

0

GA QCC: 34

GHSGT: 4, 44


1. Multiple Choice What point is the intersec-tion of the graphs of and

A B

C D

E


A B

C D

E


A B

C D

E


A B

C D

E s2, 22ds22, 2ds2, 0ds22, 22ds2, 2d

2y2 1 3x 5 2?x2 1 y 5 2,x 5 2y,

s3, 22ds0, 25ds5, 0ds22, 23ds2, 3d

2x2 1 y2 5 22?x2 2 y2 5 5

s5, 23ds23, 25ds3, 5ds25, 23ds5, 3d

x2 1 y2 5 34?x2 2 4y 5 13

s23, 24ds24, 23ds4, 3ds23, 4ds3, 4d

y 5 x 1 7?x2 1 y2 5 25


A B

C D

E








6.

7.

8.

s1, 23ds23, 1ds21, 23ds21, 3ds3, 1d

y2 2 x2 5 8?x2 1 4y2 5 37y 5 3x,




10.7LESSON


Column A Column B

The number of pointsof intersection of the

graphs of and 3x2 1 5y2 5 15

x2 1 y2 5 1


graphs of and y 5 x 2 2

x2 1 y2 5 4

The number of pointsof intersection of thegraphs of and x2 2 2x 2 3 5 4

y 2 2x 5 0

The number of pointsof intersection of thegraphs of

and y 5 sx 1 1d2

y 5 2x 1 1


graphs ofand

x2 1 y2 5 25x2 2 2y2 5 25


graphs of and

x2 1 4y2 5 36x2 1 y2 5 16

Ch

apter 1

0

GA QCC: 1, 2, 51

GHSGT: 2, 3, 4, 33, 35


1. Multiple Choice What is the third term ofthe sequence defined by

A 6 B 10

C 14 D 18

E 22

2. Multiple Choice What is the fifth term ofthe sequence defined by

A 2 B 8

C 14 D 20

E 26

3. Multiple Choice What is the next term inthe sequence

A 23 B 26

C 28 D 30

E 32

4. Multiple Choice What is the next term inthe sequence

A 19 B 21

C 23 D 25

E 27

5. Multiple Choice Which series is representedby

A

B

C

D

E 8 1 13 1 18

8 1 11 1 14

13 1 18 1 23

3 1 8 1 13

8 1 13 1 18 1 . . .

o3

i51 s5i 1 3d?

4, 7, 10, 13, 16, . . . ?

1, 6, 11, 16, 21, . . . ?

an 5 3n 2 1?

an 5 4n 1 6?6. Multiple Choice Which series is represent-

ed by

A B

C D

E








7.

8.

9.

10.

10 1 21 1 32

10 1 14 1 183 1 7 1 11

10 1 21 1 363 1 10 1 21

o4

k52 s2k2 1 kd?

TEST TAKING STRATEGY If you start to get tense during a test, put your pencil

down and take some deep breaths. This may help you

regain control.


11.1LESSON


Column A Column B

The seventh term of the sequence

defined byan 5 4n 1 13

The seventh term of the sequence


The fourth term of the sequence

defined byan 5 n2 1 1

The sixth term of the sequence


o6

n51 s3 2 nd o

6

n51 sn 2 3d

o4

k52 sk2 2 5d o

3

k51 sk2 1 2k 2 4d

Ch

apte

r 1

1

GA QCC: 50, 51

GHSGT: 2, 3, 33, 35


1. Multiple Choice Which of the following isan arithmetic sequence?

A

B

C

D

E

2. Multiple Choice Which of the following isan arithmetic sequence?

A

B

C

D

E

3. Multiple Choice What is a rule for the nthterm of the arithmetic sequence with and common difference

A B

C D

E

4. Multiple Choice What is a rule for the nthterm of the arithmetic sequence with

and common difference

A B

C D

E an 5 11n 2 84

an 5 11n 1 32an 5 11n 1 21

an 5 11n 2 42an 5 11n 2 21

d 5 11?a21 5 147

an 5 3n 1 5

an 5 3n 2 6an 5 3n 1 4

an 5 3n 2 8an 5 3n 2 2

d 5 3?a10 5 22

3, 8, 13, 18, 23, . . .

23, 0, 6, 15, 27, . . .

3, 9, 21, 39, 63, . . .

1, 5, 6, 10, 11, . . .

2, 4, 8, 14, 22, . . .

3, 5, 8, 12, 17, . . .

23, 0, 4, 9, 15, . . .

25, 22, 1, 4, 7, . . .

1, 3, 6, 10, 15, . . .

2, 5, 9, 14, 20, . . .

5. Multiple Choice What is a rule for the nthterm of the arithmetic sequence with and

A B

C D

E

6. Multiple Choice What is the sum of thefirst 20 terms of the series

A 226 B 1252

C 1860 D 2010

E 2150








7.

8.

9.

3 1 14 1 25 1 36 1 . . . ?

an 5 4n 1 11

an 5 4n 1 7an 5 4n 1 1

an 5 4n 2 8an 5 4n 2 11

a14 5 45?a8 5 21




11.2LESSON


Column A Column B

The sum of the first 10terms of the series

1 15 1 . . .6 1 9 1 12

The sum of the first 15terms of the series

2 1 5 1 8 1 11 1 . . .

The value of whenand a21 5 62a2 5 5

a13 The value of whenand a25 5 44a4 5 2

a20

The value of n for whichwhen

and a18 5 106a4 5 8an 5 43

The value of n for whichwhen

and a22 5 89a3 5 23an 5 37

Ch

apter 1

1

GA QCC: 50, 51

GHSGT: 2, 3, 33, 35


1. Multiple Choice Which of the following isa geometric sequence?

A

B

C

D

E

2. Multiple Choice Which of the following isa geometric sequence?

A

B

C

D

E

3. Multiple Choice What is a rule for the nthterm of the geometric sequence

A

B

C

D

E

4. Multiple Choice What is a rule for the nthterm of the geometric sequence with

and common ratio

A

B

C

D

E an 5 22.25s22dn21

an 5 22.25s2dn21

an 5 22s2.25dn21

an 5 2s2.25dn21

an 5 2.25s2dn21

r 5 2?a4 5 218

an 5 22s3dn21

an 5 23s22dn21

an 5 3s22dn21

an 5 23s2dn21

an 5 2s23dn21

224, 248, . . . ?212,26,23,

22, 24, 8, 16, 232, . . .

25, 0, 10, 25, 45, . . .

4, 8, 24, 96, 480, . . .

23, 1, 5, 9, . . .

1, 2, 4, 8, 16, . . .

26, 24, 22, 0, 2, . . .

24, 0, 4, 8, 12, . . .

7, 12, 17, 22, 27, . . .

1, 3, 9, 27, 81, . . .

1, 2, 3, 4, 5, . . .

5. Multiple Choice What is a rule for the nthterm of the geometric sequence with and

A

B

C

D

E

6. Multiple Choice What is the sum of thefirst 12 terms of the geometric series

A 240 B 880

C 1060 D 1850

E 4095

7. Multi-Step Problem Suppose two computercompanies, Company A and Company B,opened in 1991. The revenues of Company Aincreased arithmetically through 2000, whilethe revenues of Company B increased geo-metrically through 2000. In 1995 the revenueof Company A was $316.3 million. In 1995the revenue of Company B was $35.2 million.

a. The revenues of Company A have acommon difference of 43.1. The revenuesof Company B have a common ratio of 2.Find a rule for the revenues in the nth yearof each company. Let represent 1991.

b. Graph each sequence from part (a).

c. Find the sum of the revenues from 1991through 2000 for each company.

d. Writing Use a graphing calculator orspreadsheet to find when the revenue ofCompany B is greater than the revenue ofCompany A. Explain which company youwould rather own referring to the graphsfrom part (b).

a1

1 1 2 1 4 1 8 1 16 1 . . . ?

an 5 5s0.8dn21

an 5 24s5dn21

an 5 20.8s5dn21

an 5 4s5dn21

an 5 0.8s5dn21

a6 5 2500?a2 5 4




11.3LESSON


Ch

apte

r 1

1

GA QCC: 50, 51

GHSGT: 2, 3, 33, 35


1. Multiple Choice What is the sum of theseries

A B C

D E

2. Multiple Choice What is the sum of theseries

A 2.25 B 2.75 C 3.25

D 3.75 E 4.25

3. Multiple Choice What is the common ratioof an infinite geometric series whose sum is30 and the first term is

A B C

D E

4. Multiple Choice What is the common ratioof an infinite geometric series whose sum is125 and the first term is

A B C

D E 244

222212

a1 5 625?

47

45

34

15

23

a1 5 6?

o`

i51 3s0.2di21?

49

56

78

23

34

1 213

119

2127

1 . . . ?

5. Multiple Choice What fraction is equivalentto the repeating decimal

A B C

D E

6. Multiple Choice A ball is dropped from aheight of 7 feet. Each time it hits the ground,it bounces half of its previous height. What isthe total distance traveled by the ball?

A 7 feet B 14 feet

C 21 feet D 28 feet

E 35 feet








7.

8.

12526

8119

7517

5011

297

4.54545 . . . ?

TEST TAKING STRATEGY Draw an arrow on your test booklet next to questions that

you do not answer. This will enable you to find the ques-

tions quickly when you go back.


11.4LESSON


Column A Column B

o`

i51 3s20.1di21 o

`

i51 5s20.2di21

o`

i51 121

252

i21

o`

i51 3412

132

i21

Ch

apter 1

1

GA QCC: 1, 2, 50, 51

GHSGT: 2, 3, 4, 33, 35


1. Multiple Choice What is the fifth term ofthe sequence whose first term is andwhose nth term is

A 31 B 100 C 307

D 928 E 2791

2. Multiple Choice What is the fourth term ofthe sequence whose first term is andwhose nth term is

A B C

D E

3. Multiple Choice What is a recursive rule forthe arithmetic sequence with and

A

B

C

D

E

4. Multiple Choice What is a recursive rule forthe geometric sequence with and

A

B

C

D

E a1 5 4, an21 5 s0.2dan

a1 5 4, an 5 s0.2dan21

a1 5 4, an 5 4an21 1 0.2

a1 5 4, an 5 an21 1 0.2

a1 5 4, an 5 4s0.2dn21

r 5 0.2?a1 5 4

a1 5 23, an 5 an21 1 8

a1 5 23, an 5 an21 1 3

a1 5 23, an 5 an21 2 8

a1 5 23, an 5 8n 1 3

a1 5 23, an 5 8n 2 11

d 5 8?a1 5 23

217032423

210322323

an 5 4an21 2 11?a1 5 2

an 5 3an21 1 7?a1 5 8

5. Multiple Choice What is a recursive rulefor the sequence

A

B

C

D

E

6. Multiple Choice What is a recursiveequation for the sequence 5, 8.45,

A

B

C

D

E

7. Multi-Step Problem Suppose a tree farminitially has 4000 pine trees. Each year 20%of the trees are harvested and 400 newseedlings are planted.

a. Write a recursive rule for the number ofpine trees on the tree farm after n years.

b. Use the recursive rule from part (a) todetermine the number of pine treesremaining after 4 years.

c. Graph the sequence from part (a) over aperiod of ten years.

d. Critical Thinking Explain using thegraph from part (c) what you would expectto happen over an extended period of time.

an 5 s1.3dan21

an 5 s21.3dan21

an 5 5s21.3dan21

an 5 s1.5dan21

an 5 s21.5dan21

210.985, . . . ?26.5,

a1 5 4, an 5 3an21

an 5 4s3dn21

a1 5 3, an 5 4an21

a1 5 3, an 5 3an21 1 4

an 5 3s4dn21

3, 12, 48, 192, . . . ?




11.5LESSON


Ch

apte

r 1

1

GA QCC: 44, 45, 46

GHSGT: 35


1. Multiple Choice In how many ways can 10runners finish a race first, second, or third?

A 3 B 10 C 300

D 720 E 1000

2. Multiple Choice In an activity club with 30students, the offices of president, vice presi-dent, and treasurer will be filled. In how manyways can the offices be filled?

A 30 B 90 C 150

D 27,000 E 24,360

3. Multiple Choice How many differentlicense plates are possible if two digits arefollowed by three letters?

A 98 B 876,450

C 1,404,000 D 1,757,600

E 12,647,200

4. Multiple Choice How many distinguishablepermutations of the letters in BANANA arethere?

A 60 B 120 C 180

D 360 E 720

5. Multiple Choice How many distinguishablepermutations of the letters in BALLOON arethere?

A 210 B 340 C 1260

D 2880 E 5040








6.

7.

8.

9. Multiple Choice How many differentlicense plates are possible if three digits arefollowed by two letters?

A 1560 B 676,000

C 1,320,000 D 1,845,300

E 2,225,200

10. Multiple Choice In how many ways can 8runners finish a race first, second, or third?

A 3 B 8 C 24

D 336 E 512


your high school career and can improve your overall

abilities.


12.1LESSON


Ch

apter 1

2

Column A Column B

6!

8P4 10P2

The number ofpermutations of 7

objects taken 6 at atime

6P5

The number ofpermutations of 14objects taken 2 at a

time

GA QCC: 44, 45, 46

GHSGT: 35


1. Multiple Choice In how many ways can 3cards be chosen from a standard deck of 52cards?

A 156 B 2210

C 10,850 D 22,100

E 132,600

2. Multiple Choice In how many ways can a 7 person committee be chosen from a groupof 10 people?

A 120 B 1260

C 12,600 D 60,480

E 604,800

3. Multiple Choice A movie theater has 14different movies showing. If you want toattend no more than 3 of the movies, howmany different combinations of movies canyou attend?

A 142 B 364

C 469 D 15,915

E 16,387

4. Multiple Choice What is the coefficient ofin the expansion of

A 35 B 105 C 315

D 945 E 2835


A 80 B 720

C D

E 360

23602120

s2x 2 3d5?x3

s3x 1 1d7?x4

6. Multi-Step Problem You are buying aflower arrangement. The florist has 15 typesof flowers and 8 types of vases.

a. If you can afford exactly 4 types offlowers and need only 1 vase, how manydifferent arrangements can you buy?

b. If you can afford exactly 11 types offlowers and need 7 vases, how manydifferent arrangements can you buy?

c. Critical Thinking Compare the solutionsto parts (a) and (b).

7. Multiple Choice In how many ways can 50 cards be chosen from a standard deck of52 cards?

A 1326 B 6540

C 16,445 D 32,872

E 212,961

8. Multiple Choice An amusement park has27 different rides. If you have 21 ride tickets,how many different combinations of rides canyou take?

A 567 B 2320

C 6740 D 112,480

E 296,010


A 1056 B 14,080

C 126,720 D 811,008

E 3,784,704

sx 1 4d12?x8




12.2LESSON


Ch

apte

r 1

2

GA QCC: 1, 2, 42, 44,46

GHSGT: 4, 10, 35


1. Multiple Choice What is the probability ofrolling an even number if you roll a six-sideddie with sides numbered from 1 through 6?

A B

C D

E 1

2. Multiple Choice What is the probability ofdrawing all red cards from a standard deck of52 cards if you draw 5 cards from the deck?

A 0.0253 B 0.253

C 0.50 D 0.523

E 0.875

3. Multiple Choice A dart thrown at the squaretarget shown is equally likely to hit anywhereinside the target. What is the probability thatthe dart hits the shaded region?

A B

C D

E

4. Multiple Choice You have an equally likelychance of choosing any number from 1 to 15.What is the probability that you choose anumber greater than 10?

A B C

D E13

45

15

110

115

43

89

29

49

23

3

2

13

14

12

16

5. Multiple Choice A dart thrown at thesquare target shown is equally likely to hitanywhere inside the target. What is theprobability that the dart hits the circularshaded region?

A B

C D

E

6. Multiple Choice You have an equally likelychance of choosing any number from 1 to 10.What is the probability that you choose anumber less than 4?

A B C

D E


7 and 8, choose the statement below that

is true about the given quantities if a jar

contains 3 red marbles, 6 blue marbles, 5

green marbles, and 1 black marble.





7.

8.

23

45

310

12

25

p

2

p

4p

6

p

9p

36

6

3



as well.


12.3LESSON


Ch

apter 1

2

Column A Column B

The probability ofselecting a green

marble

The probability ofselecting a blue

marble

The probability ofselecting a blue or

a red marble

The probability ofselecting a red or a

green marble

GA QCC: 42, 43, 44, 45,46

GHSGT: 10, 35


1. Multiple Choice A card is randomlyselected from a standard deck of 52 cards.What is the probability that it is a 10 or adiamond?

A 0.504 B 0.430

C 0.405 D 0.285

E 0.308

2. Multiple Choice A card is randomlyselected from a standard deck of 52 cards.What is the probability that it is an 8 or aking?

A 0.25 B 0.208

C 0.154 D 0.106

E 0.082

3. Multiple Choice When two fair coins aretossed, there are four possible outcomes.What is the probability that at least two headsare tossed?

A B C

D E

4. Multiple Choice When two fair coins aretossed, there are four possible outcomes.What is the probability that at least one tail istossed?

A B C

D E

5. Multiple Choice If and what is

A 0.38 B 0.42

C 0.56 D 0.58

E 0.61

PsA or Bd?PsA and Bd 5 0.2,PsBd 5 0.18,

PsAd 5 0.4,

34

14

12

18

38

38

23

12

14

18


A 0.69 B 0.53

C 0.57 D 0.44

E 0.03

7. Multi-Step Problem A box of electricalparts contains 7 good items and 3 defectiveitems.

a. If 3 parts are selected at random, find theprobability that all 3 parts are good.

b. If 3 parts are selected at random, find theprobability that all 3 parts are defective.

c. If 3 parts are selected at random, find theprobability that the first 2 parts are goodand the third part is defective.

d. If 2 parts are selected at random, find theprobability that at least 1 part is defective.

e. Critical Thinking Explain how many partsmust be selected from the box to becertain that you have at least one goodpart.


A 0.38 B 0.42

C 0.56 D 0.58

E 0.61


A 0.3 B 0.4

C 0.5 D 0.8

E 0.6

PsA and Bd?PsA or Bd 5 0.8,PsBd 5 0.4,PsAd 5 0.7,


PsAd 5 0.27,


PsAd 5 0.28,


your day-to-day studies.


12.4LESSON


Ch

apte

r 1

2

GA QCC: 42, 43

GHSGT: 10, 35


1. Multiple Choice Events A and B areindependent,What is

A 0.3 B 0.28

C 0.72 D 1.1

E 0.55


A 0.7 B 0.3

C 0.1 D 0.35

E 0.4

3. Multiple Choice Events A and B aredependent,What is

A 73% B 10%

C 12% D 53%

E 24%

4. Multiple Choice Events A and B aredependent,What is

A 75% B 45% C 38%

D 9% E 90%


A 68% B 34% C 26%

D 16% E 11%

PsA and Bd?PsAd 5 26%, and PsBd 5 42%.

PsA and Bd?PsB|Ad 5 60%.PsAd 5 15%, and

PsA and Bd?PsB|Ad 5 30%.PsAd 5 40%, and

PsA and Bd?PsAd 5 0.2, and PsBd 5 0.5.

PsA and Bd?PsAd 5 0.7, and PsBd 5 0.4.

6. Multiple Choice To win a state lottery, aplayer must correctly select six differentnumbers from 1 to 45. How many ticketswould a person have to buy to have a 1%chance of winning?

A at least 81,451 B at least 8145

C at least 814,506D at least 815

E at least 81








7.

8.

9.




12.5LESSON


Ch

apter 1

2

Column A Column B

The probability ofdrawing a club froma standard deck of

52 cards whendrawing three timeswithout replacement

The probability ofdrawing a club froma standard deck of

52 cards whendrawing three timeswith replacement

The probability oftossing a tail using a

fair coin if a headhas already been

tossed

The probability oftossing a head

using a fair coin ifa head has already

been tossed

The probability oftossing at most onetail when tossing afair coin two times

The probability oftossing at least onehead when tossing afair coin two times

GA QCC: 1, 2, 42, 47,49

GHSGT: 4, 10, 11, 12,13, 16


1. Multiple Choice What is the probability oftossing a coin 10 times and getting exactly 4heads?

A 0.18 B 0.21

C 0.27 D 0.32

E 0.36

2. Multiple Choice What is the probability oftossing a coin 20 times and getting exactly 16tails?

A 0.176 B 0.160

C 0.015 D 0.005

E 0.001

3. Multiple Choice What is the probabilitythat in a family of six children exactly fourare boys? Assume a boy and a girl are equallylikely.

A B

C D

E

4. Multiple Choice What is the probabilitythat in a family of seven children exactly twoare girls? Assume a boy and a girl are equallylikely.

A B

C D

E

5. Multiple Choice What is the probability of5 or more successes for a binomialexperiment consisting of 7 trials withprobability 0.25 of success on each trial?

A 0.0115 B 0.0129

C 0.0128 D 0.0577

E 0.0013

27

57

7128

764

21128

1564

1164

532

13

23



true about the given quantities in calcu-

lating the probability of k successes for a

binomial experiment consisting of n trials

with probability p of success on each trial.





6.

7.

8.

9. Multiple Choice A baseball player’s battingaverage is 0.280. What is the probability thatthe player will get 3 or fewer hits in a gamein which the player has 5 official at-bats?

A 0.376 B 0.293

C 0.783 D 0.114

E 0.976

10. Multiple Choice What is the probability of2 or fewer successes for a binomial experi-ment consisting of 6 trials with probability0.52 of success on each trial?

A 0.942 B 0.781

C 0.559 D 0.483

E 0.307


for clues.


12.6LESSON


Ch

apte

r 1

2

Column A Column B

p 5 0.6k ≥ 2, n 5 4,

p 5 0.8k ≤ 2, n 5 6,

p 5 0.21k ≥ 5, n 5 6,

p 5 0.37k ≥ 3, n 5 8,

p 5 0.42k ≤ 4, n 5 5,

p 5 0.4k ≤ 3, n 5 5,

GA QCC: 42, 47, 49

GHSGT: 10, 11, 12, 13,16


1. Multiple Choice What is the probability thata randomly selected x-value lies between 6and 10 if the normal distribution has a meanof 7 and a standard deviation of 1?

A 0.68 B 0.815

C 0.8385 D 0.4985

E 0.3635

2. Multiple Choice What is the probability thata randomly selected x-value lies between 7and 9 if the normal distribution has a mean of6 and a standard deviation of 1?

A 0.815 B 0.4985

C 0.8385 D 0.5

E 0.1585

3. Multiple Choice What is the probability thata randomly selected x-value is at least 10 ifthe normal distribution has a mean of 8 and astandard deviation of 1?

A 0.95 B 0.815

C 0.025 D 0.5

E 0.1585

4. Multiple Choice What is the mean of anormal distribution that approximates abinomial distribution consisting of 15 trialswith probability 0.6 of success on each trialand a standard deviation of 1.9?

A 6 B 7 C 8

D 9 E 10

5. Multiple Choice What is the mean of anormal distribution that approximates abinomial distribution consisting of 25 trialswith probability 0.4 of success on each trialand a standard deviation of 2.45?

A 5 B 10 C 15

D 20 E 25

6. Multiple Choice What is the standarddeviation of a normal distribution thatapproximates a binomial distributionconsisting of 30 trials with probability 0.2 ofsuccess on each trial and a mean of 6?A 1.76 B 1.92

C 2.08 D 2.19

E 2.27

7. Multi-Step Problem In 1999 Sarah tookboth the SAT (Scholastic Aptitude Test) andthe ACT (American College Test). On themathematics section of the SAT, she earned ascore of 630. On the mathematics section ofthe ACT, she earned a score of 30. For theSAT the mean was 480 and the standarddeviation was 75. For the ACT the mean was26 and the standard deviation was 4.

a. What percent of students did Sarahoutscore on the math section of the SAT?

b. What percent of students did Sarahoutscore on the math section of the ACT?

c. On which exam did Sarah score better?

d. Writing Explain how you could translateSAT scores such as 255, 330, and 405 intoequivalent ACT scores if you know themean and standard deviation of eachexam.

8. Multiple Choice What is the standarddeviation of a normal distribution thatapproximates a binomial distributionconsisting of 50 trials with probability 0.3 ofsuccess on each trial and a mean of 15?

A 3.65 B 3.24

C 2.86 D 2.52

E 2.28





12.7LESSON


Ch

apter 1

2

GA QCC: 1, 2

GHSGT: 4, 6


1. Multiple Choice Given the diagram, whichequation is correct?

A B

C D

E

2. Multiple Choice Given the diagram, whichequation is correct?

A B

C D

E

3. Multiple Choice Given the diagram, what isthe value of x?

A 8

B 6.5

C 4.8

D 6.9

E 4

308

2

x

csc u 5158

tan u 51715

sec u 51517

cos u 5815

sin u 5817

817

u

cot u 535

tan u 543

sec u 554

cos u 534

sin u 553

35

u

4. Multiple Choice Given the diagram, what isthe value of x?

A 5.66

B 4.87

C 4

D 8

E

5. Multiple Choice Given the diagram whereand cm, what is the approxi-

mate value of c?

A 0.073 cm

B 13.6 cm

C 14.9 cm

D 9.7 cm

E 10.8 cm

6. Multi-Step Problem You are a surveyor in ahelicopter and are trying to determine thewidth of an island, as illustrated.

a. What is the shortest distance d the heli-copter would have to travel to land on theisland?

b. What is the horizontal distance x that thehelicopter has to travel before it is directlyover the nearer end of the island?

c. Writing Find the width w of the island.Explain the process you used to find youranswer.

a

b

c

B

A C

a 5 8A 5 368

4!2

8 2

458

x


questions quicker.


13.1LESSON


x

d

288

628

2000 ft

w

Island

Ch

apte

r 1

3

GA QCC: 1, 2

GHSGT: 4, 6, 9


1. Multiple Choice Which of the following isa coterminal angle with

A B C

D E

2. Multiple Choice Which of the following isa coterminal angle with

A B C

D E


equivalent to

A B C

D E


A B C

D E

5. Multiple Choice What is the arc length of asector with a radius of 5 cm and a centralangle of

A 100 cm B 4 cm C 1.75 cm

D 2.8 cm E 4.35 cm

6. Multiple Choice What is the arc length of asector with a radius of 7.3 in. and a centralangle of

A 6.7 in. B 7.3 in. C 8.4 in.

D 8.9 in. E 10.5 in.

668?

208?

4p

37p

6

5p

48p

35p

6

2408?

37583308

315830582858

7p

4?

122823268

34816882348

3268?

30822108

230821081508

21508?7. Multiple Choice What is the area of a sec-

tor with a radius of 10 cm and a central angleof

A B

C D

E








8.

9.

10.

11.

58.18 cm2

51.43 cm248.72 cm2

43.63 cm240.08 cm2

508?



13.2LESSON


Column A Column B

The area of a sectorwith in. and

u 5 458r 5 3

The area of a sectorwith in. and

u 5 608r 5 4

The area of a sectorwith cm

and u 5 1008r 5 11.3


and u 5 828r 5 12.6

The arc length of asector with ft

and u 5 1208r 5 8

The arc length of asector with ft

and u 5 2408r 5 4

The arc length of a sector with

m and

u 58p

3

r 5 2

The arc length of a sector with

m and

u 52p

3

r 5 6

Ch

apter 1

3

GA QCC: 1, 2

GHSGT: 4, 6, 9


1. Multiple Choice If is a point on theterminal side of an angle in standard posi-tion, what is the value of

A B C

D E

2. Multiple Choice If is a point onthe terminal side of an angle in standardposition, what is the value of

A B C

D E

3. Multiple Choice Which of the following isthe reference angle for

A B C

D E

4. Multiple Choice Which of the following isthe reference angle for

A B C

D E

5. Multiple Choice What is the exact value of

A B C

D E!33

2!3

3!313

!3

tan 3908?

8p

57p

5

3p

10p

52p

5

u 5 23p

5?

222822028

2028228588

u 5 1588?

5!21254

25!21245

4!21

tan u?u

s210, 8d

13

1!10

2!10

3!10

sin u?u

s6, 2d 6. Multiple Choice What is the exact value of

A B C

D E

7. Multiple Choice What is the approximatehorizontal distance traveled by a soccer ballthat is kicked at an angle of with an initialspeed of 60 feet per second?

A 84 ft B 88 ft C 93 ft

D 97 ft E 105 ft








8.

9.

10.

11.

308

12

2!2

2!22

!2!22

cos1213p

4 2?





13.3LESSON


Column A Column B

The value ofsin 6308

The value oftan 1258

The value of

cos1211p

3 2The value of

sec 5p

3

The value ofcots22788d

The value ofcscs1348d

The value of

cos 3p

4

The value of

sin 7p

4

Ch

apte

r 1

3

GA QCC: 1, 2

GHSGT: 4, 6


1. Multiple Choice Which angle does the

value of equal?

A B C

D E

2. Multiple Choice Which angle does the

value of equal?

A B C

D E

3. Multiple Choice In the triangle shown, whatis the approximate measure of the angle

A B C

D E

4. Multiple Choice In the triangle shown, whatis the approximate measure of the angle

A B C

D E 74.7874.28

22.6815.3813.88

3

11

u

u?

82.5866.48

34.4821.8823.68

410

u

u?

30583458

17582258458

sin211 1!22

3083008

330815082108

tan2112!33 2


equation

A B C

D E


A B C

D E

7. Multi-Step Problem If you stand inshallow water and look at an object belowthe surface of the water, the object will lookfarther away from you than it really is. This isbecause when light rays pass between air andwater, the water refracts, or bends, the lightrays. The index of refractionfor seawater is1.341. This is the ratio of the sine of to thesine of for angles and below.

a. You are standing in seawater that is 3feet deep and are looking at a shell atan angle (measured from aline perpendicular to the surface of thewater). Find

b. Find the distances x and y.

c. Find the distance d between where theshell is and where it appears to be.

d. Writing What happens to d as youmove closer to the shell?

u2.

u1 5 508

x dy

3 ft

u1

u2

u2u1u2

u1

5p

1211p

12

25p

122

p

127p

6

tan u 5 23.732?

258.468243.618

213.678198.238 192.178

cos u 5 215

?




13.4LESSON


Ch

apter 1

3

GA QCC: 1, 2

GHSGT: 4, 6, 9, 20, 26,27


1. Multiple Choice What is the approximatevalue of b in the triangle shown?

A B C

D E

2. Multiple Choice What is the approximatevalue of c in the triangle shown?

A B C

D E

3. Multiple Choice What is the approximatevalue of a in the triangle shown?

A 54 B 56 C 57

D 58 E 59

A

aB C

388 458

42

23.424.8

25.127.529.3

1248318 B

C

A

c

14

16.417.6

18.522.728.3

1068

288

B

C

A

b

36

4. Multiple Choice What is the approximatemeasure of angle A in the triangle shown?

A B C

D E

5. Multiple Choice What is the approximatearea of a triangle with and

A B

C D

E

6. Multi-Step ProblemYou areat an unknown distanced from a mountain, as shownat the right. The angle of ele-vation to the top of the moun-tain is You step back 85feet and measure the angle ofelevation to be

a. Find the height h of themountain using the lawof sines and right triangletrigonometry. (Hint: First find )

b. Find the height h of the mountain usinga system of equations. Set up one tangentequation involving the ratio of d and h,and another tangent equation involvingthe ratio of and h and then solvethe system.

c. Writing Which method was easier foryou to use? Explain.

85 1 d

u.

638.

728.

82.1 units2

77.9 units274.6 units2

72.3 units270.8 units2

c 5 27?b 5 14,A 5 228,

106.7881.58

73.6867.9861.48

A

B C468

24

18

TEST TAKING STRATEGY If you find yourself spending too much time on one question

and getting frustrated, move on to the next question.


13.5LESSON


h

d

638 728

85 ft

u

Ch

apte

r 1

3

GA QCC: 1, 2

GHSGT: 4, 6, 9, 20, 26,27


1. Multiple Choice In the triangle shown, whatis the approximate length of b?

A B C

D E

2. Multiple Choice In the triangle shown, whatis the approximate length of c?

A B C

D E

3. Multiple Choice What is the approximatemeasure of angle A in a triangle with

and

A B C

D E

4. Multiple Choice What is the approximatemeasure of angle C in a triangle with

and

A B C

D E 104.58103.28

98.6892.1883.78

c 5 28?b 5 14,a 5 21,

37.5822.68

20.3819.4818.68

c 5 18?b 5 25,a 5 10,

25.723.8

22.121.418.6

A

c

BC438

20

32

20.316.9

14.613.812.1

A

b

BC358

16

21


A B

C D

E


A B

C D

E








7.

8.

9.

10.

82.5 ft278.3 ft271.4 ft270.8 ft269.2 ft2

c 5 21 ft?b 5 15 ft,a 5 10 ft,

489 units2

452 units2433 units2

417 units2381 units2

c 5 47?b 5 38,a 5 23,




13.6LESSON


Column A Column B

The area of a trianglewith

and c 5 8b 5 10,a 5 6,


and c 5 18b 5 16,a 5 12,

The measure of angleA in a triangle with

and c 5 28b 5 31,a 5 42,

The length of side bin a triangle with

and B 5 408c 5 13,a 5 8,


and c 5 5b 5 4,a 5 3,


and c 5 23b 5 10,a 5 15,

The measure of angleB in a triangle with

and c 5 19b 5 23,a 5 11,

The length of side cin a triangle with

and C 5 688b 5 18,a 5 12,

Ch

apter 1

3

GA QCC: 1, 2

GHSGT: 4, 6, 9, 20, 26,27


1. Multiple Choice Which set of parametricequations is graphed?

A

B

C

D

E

2. Multiple Choice Which equation is anxy-equation for the parametric equations

and where

A

B

C

D

E y 5 2x 2 4; 0 ≤ x ≤ 210y 5 2x 2 7; 3 ≤ x ≤ 13

y 5 2x 2 3; 3 ≤ x ≤ 19

y 5 3x 1 2; 10 ≤ x ≤ 20

y 5 x 2 4; 0 ≤ x ≤ 10

0 ≤ t ≤ 10?y 5 2t 2 1x 5 t 1 3

x 5 2t 1 1, y 5 3t for 0 ≤ t ≤ 5

x 5 4t, y 5 t 2 3 for 0 ≤ t ≤ 5

x 5 t 1 2, y 5 t for 0 ≤ t ≤ 5

x 512

t, y 5 t for 0 ≤ t ≤ 5

x 5 2t, y 5 t 1 3 for 0 ≤ t ≤ 5

1

y

x1

3. Multiple Choice An airplane takes off at anangle of with the ground and travels at aconstant speed of 286 miles per hour. Whichset of parametric equations represents theairplane’s ascent?

A

B

C

D

E








4.

5.

6.

7.

8.

x 5 560t, y 5 76t

x 5 1260t, y 5 840t

x 5 320t, y 5 64t

x 5 280t, y 5 58t

x 5 2840t, y 5 500t

11.88

TEST TAKING STRATEGY If the answers to a question are formulas, substitute the


answers.


13.7LESSON


Column A Column B

The value of x if x 5 6.5 cos 308

The value of x if

and t 5 3x 5 4.8 cos 458t

The value of x if x 5 6.5 sin 308

The value of x if

and t 5 3x 5 4.8 sin 458t

The value of x if

and t 5 4x 5 1.6 cos 188t

The value of x if

and t 5 6x 5 1.6 sin 398t

The value of x if

and t 5 2x 5 5.2 cos 228t

The value of x if

and t 5 2x 5 5.2 sin 688t

The value of x if

and t 5 3x 5 2.3 cos 658t

The value of x if

and t 5 5x 5 2.3 sin 388t

Ch

apte

r 1

3



A B

C D

E


A B

C D

E


an x-intercept of the graph of

A 6 B 5 C

D 1 E 3p

24

y 512

sin p

3x?

y 5 2 sin 2x

y 5 sin 12xy 5 cos 2x

y 5 2 cos 2xy 5 sin 2x

1

y

xp

y 5 cos 13 x

y 5 3 sin 3xy 5 cos 3x

y 5 3 cos 3xy 5 sin 3x

1

y

p


an x-intercept of the graph of

A 2 B 3 C 4

D E

5. Multiple Choice What is the amplitude ofthe graph of ?

A B 3 C 2

D E

6. Multiple Choice What is the period of thegraph of

A B C

D E


8, choose the statement below that is






7.

8.

34

2p

3

3p

4p

23p

y 514 sin 3x?

2622

23

y 5 23 cos 2x

245p

y 5 2 cos p

4x?

TEST TAKING STRATEGY Draw an arrow on your test booklet next to questions that

you do not answer. This will enable you to find the questions quickly when you

go back.


14.1LESSON


Ch

apter 1

4GA QCC: 1, 2

GHSGT: 4

Column A Column BAmplitude of the Amplitude of the

graph of graph of

Period of the graph Period of the graph of of y 5 3 sin 8pxy 5

12 tan 2px

y 5 5 sin 5xy 5 25 cos 3x



A B

C D

E


A

B

C

D

E y 512

sin 21x 2p

42

y 512

cos 21x 1p

42

y 5 212

cos 21x 1p

42

y 512

cos 21x 2p

42

y 512

sin 21x 1p

42

0.75y

xp

y 5 22 1 3 cos 2x

y 5 2 2 3 sin 2xy 5 2 1 3 cos 2x

y 5 3 sin 2xy 5 2 1 3 sin 2x

1

y

p

3. Multiple Choice Which of the followingfunctions represents the reflection of thegraph of

A B

C D

E

4. Multiple Choice Which of the followingfunctions represents a vertical shift up of thegraph of

A

B

C

D

E

5. Multiple-Step Problem You are at the topof a 160 foot building that straddles a road.You are looking down at a truck travelingstraight toward the building.

a. Write an equation of the truck’s distancefrom the base of the building as a function of the angle of depression fromyou to the truck.

b. Suppose the truck is between you and alarge road sign that you know is 3500 feetfrom the building. Write an equation forthe distance between the road sign and the truck as a function of the angle of depression from you to the truck.

c. Graph the functions you wrote in parts(a) and (b) in the same coordinate plane.

d. Writing Describe how the graphs youdrew in part (c) are geometrically related.

y 513

cos 231x 2

p

62

y 5 22 113

cos 23

x

y 5 1 113

cos 23

x

y 513

cos 32

x

y 5 213

cos 23

x

y 513 cos 23x?

y 5 5 sin s23xdy 5 3 sin 5xy 5

15 sin 3x

y 5 5 sin 13 xy 5 25 sin 3x

y 5 5 sin 3x?




14.2LESSON


Ch

apte

r 1

4GA QCC: 1, 2

GHSGT: 4


1. Multiple Choice Which of the following isequal to

A B

C D

E


equal to

A B

C D

E

3. Multiple Choice If and

which of the following is true?

A B

C D

E



A B

C D

E cos u 51517

sec u 5178

csc u 5 2158

sin u 5817

sin u 5 21517

p

2< u < p,

tan u 5 2815

sin u 535

cot u 5 234

tan u 5 243

tan u 534

sin u 5 254

p < u <3p

2,

cos u 5 245

2cos1p

42

cos12p

422tan1p

42

sin1p

42tan1p

42

tan12p

42?

sin 428

tan 428tan 488

sin 488cos 428

cos 488?5. Multiple Choice What is simplified form of

A B C

D E


form of

A B C

D E

7. Multi-Step Problem You and Roger are rid-ing exercise machines that involve pedaling.The following parametric equations describethe motion of your feet and Roger’s feet.

YOU: ROGER:

In each case,x and y are measured in inchesand t is measured in seconds.

a. Use the Pythagorean identityto eliminate the

parameter t and simplify each expression.

b. Use the expressions found in part (a) todescribe the paths followed by your feetand Roger’s feet.

c. Find the reciprocal of the common period of the corresponding parametricfunctions.

d. Writing Explain who is pedaling faster(in revolutions per second) using part (c).

sin2 u 1 cos2 u 5 1

y 5 2 sin 3pty 5 6 sin 2pt

x 5 4 cos 3p tx 5 6 cos 2pt

cos2 ucot u

sec ucos usin u

cos u1 2 sin2 u

?

tan2 usin2 u

sec ucos usin u

sin1p

22 u2 tan u?




14.3LESSON


Ch

apter 1

4GA QCC: 1, 2

GHSGT: 4, 35


1. Multiple Choice What is a solution of theequation

A B C

D E


A B C

D E


A B C

D E

4. Multiple Choice What is an approximatesolution of the equation

A 0.583 B 0.615 C 0.672

D 0.774 E 0.832

5. Multiple Choice What is an approximatesolution of the equation

A 0.8423 B 0.8571

C 0.8725 D 0.8861

E 0.8973

2 tan2 x 2 3 5 0?

1 2 3 sin2 x 5 0?

24p

5p

12

23p

4p

62

p

4

5 tan x 2 5 5 0?

5p

6p

2

3p

42p

3p

4

6 cos x 2 6 5 0?

3p

4p

4

5p

3p

62p

3

4 cos x 1 2 5 0?6. Multiple Choice What is a solution of the

equation

A B C

D E








7.

8.

9.

5p

4p

4

2p

3p

6p

3

sin x 5 !3 cos x?




14.4LESSON


Ch

apte

r 1

4GA QCC: 1, 2

GHSGT: 4, 35

Column A Column B

The x-intercept ofthe graph of

in the interval

0 ≤ x ≤3p

2

y 5 2 sin x 1 1


in the interval

2p

2≤ x ≤

p

2

y 512

tan x


in the interval0 ≤ x ≤ p

y 5 2 cos x 1 1


in the interval

0 ≤ x ≤ p

y 5 sin2 x 2 1


in the interval

0 ≤ x ≤ p

y 5 cos2 x


in the interval

2p

2≤ x ≤

p

2

y 5 23 sin x


1. Multiple Choice During one cycle, a sinu-soid has a minimum at and a maxi-mum at What is the amplitude of thesinusoid?

A 4 B 8 C 9

D 13 E 18

2. Multiple Choice During one cycle, a sinusoid has a minimum at and amaximum at What is the amplitudeof the sinusoid?

A 8 B 16 C 22

D 42 E 21

3. Multiple Choice During one cycle, a sinusoid has a maximum at and a minimum at What is the period ofthe sinusoid?

A B 8 C

D 11 E 22

4. Multiple Choice During one cycle, a sinusoid has a maximum at and aminimum at What is the period ofthe sinusoid?

A B 18 C

D 36 E 72

5. Multiple Choice Which is a function for thesinusoid with a maximum at and a

minimum at

A B

C D

E y 5 2 cos x

y 5 sin 2xy 5 2 sin 2x

y 5 cos 2xy 5 2 cos 2x

1p

2, 222?

s0, 2d

36p18p

s21, 214d.s215, 21d

11p8p

s2, 24d.s6, 18d

s12, 32d.s24, 210d

s6, 46d.s14, 28d

6. Multiple Choice Which is a function for the

sinusoid with a maximum at and a

minimum at

A

B

C

D

E








7.

8.

9.

y 5 3 cos 4x 1 2

y 5 23 cos 4x 1 2

y 5 23 sin 4x 1 2

y 5 23 sin 4x 2 2

y 5 sin 4x 1 2

1p

8, 212?

13p

8, 52


your high school career and can improve your overall abilities.


14.5LESSON


Ch

apter 1

4GA QCC: 1, 2

GHSGT: 4, 12, 13

Column A Column B

Amplitude of thesinusoid with amaximum at

and a minimum at

s7, 218d

s25, 18d

Amplitude of thesinusoid with a

maximum at and a minimum at

s2p, 2d

sp, 4d

Amplitude of thesinusoid with amaximum at

and a minimum at s1, 38d

s12, 56d

Period of the sinusoid with amaximum at

and aminimum at

s7, 218d

s25, 18d

Period of the sinusoid with amaximum at

and a minimum at s1, 38d

s12, 56d

Amplitude of thesinusoid with a

maximum at and a minimum at

s0, 7d

sp, 9d



A B

C D

E


A B C

D E

3. Multiple Choice If sin with

and with

what is

A B C

D E

4. Multiple Choice If with

and sin with

what is

A B C

D E14465

25665

1665

21665

5665

cossu 2 vd?p

2< v < p,

v 51213

3p

2< u < 2p

cos u 545

288221

813

256221

2171221

56221

sinsu 1 vd?p < v <3p

2,

cos v 5 21213

0 < u <p

2

u 5817

23!3

3!3

2!32!33

!3

tan 3308?

!6 2 !24

!3 1 !24

!3 2 !24

!2 2 !64

!2 1 !64

cos 5p

12?

5. Multiple Choice What is (are) the solu-tion(s) of the equation

in

A B C

D E

6. Multiple Choice What is (are) the solution(s) of the equation

in

A B C

D E

7. Multi-Step Problem A Ferris wheel with aradius 30 feet is rotating at a rate of 3 revolu-tions per minute. When a chair starts atthe lowest point on the wheel, which is 6 feetabove the ground.

a. Write a model for the height h (in feet)in the form of

b. Graph the equation on a graphing calcu-lator using a viewing window of

and . Whatdo you observe about the graph?

c. Writing Explain the height h of theFerris wheel at each 10 second interval.

210 ≤ y ≤ 1000 ≤ x ≤ 60

h 5 a cos bsx 2 hd 1 k.

t 5 0,

p

6,

p

3p

6,

5p

6

2p

3p

6p

3,

2p

3

0 ≤ x ≤ p?

tan1x 1p

32 2 sin1x 2p

62 1 1 5 0

3p

4p

4,

7p

4

p

43p

4,

7p

45p

4,

7p

4

0 ≤ x ≤ 2p?

cos1x 2p

42 5 cos1x 1p

42 2 1


calculators. If you do use a calculator, make sure it is one you are familiar with

and have used before.


14.6LESSON


Ch

apte

r 1

4GA QCC: 1, 2

GHSGT: 4, 35



A B

C D

E


sin

A B

C D

E

3. Multiple Choice If cos with

what does sin equal?

A B C

D E

4. Multiple Choice If with

what does cos equal?

A B C

D E 21!5

2!25

1!10

2!102!10

u2

p < u <3p

2,

sin u 5 245

2225289

2240289

240289

64289

225289

2up

2< u < p,

u 5 2817

!3 2 !22

!32

12

!2 2 !32

!2 2 !32

p

12?

1 1 !32

21 1 !32

22 1 !3

2 1 !3!3

tan 1658?5. Multiple Choice What is a solution of the

equation

A B C

D E








6.

7.

8.

9.

10.

7p

43p

8

p

4p

23p

2

tan x2

5 cos 2x?




14.7LESSON


Ch

apter 1

4GA QCC: 1, 2

GHSGT: 4, 33, 35

Column A Column B

tan x, with458 < x < 908

cos x, with458 < x < 608

tan with

458 < x < 908

x2

,

sin 2x, with908 < x < 1808

sin with

908 < x < 1808

x2

,

cos 2x, with908 < x < 1808

cos with

908 < x < 1808

x2

,

cos with

458 < x < 608

x2

,

tan with

458 < x < 608

x2

, cos 2x, with458 < x < 608



A 36 B C 3

D 6 E

2. Multiple Choice What is the third term ofthe sequence defined by

A 3 B 1 C 5

D E

3. Multiple Choice To win a state lottery, aplayer must correctly select six differentnumbers from 1 to 49. How many ticketswould a person have to buy to have a 1%chance of winning?

A at least 13,984

B at least 1399

C at least 139,839

D at least 140

E at least 1,398,382


A B C

D E11p

37p

6

7p

311p

65p

6

3308?

2123

an 5 22n 1 5?

13

16

log6 216?Quantitative Comparison In Exercises 5–11,

choose the statement that is true about

the given quantities.





5.

6.

7.

8.

9.

10.

11.


A B

C D

Ex 1 4x 2 4

1x 1 4

x 1 4

1x 2 4

x 2 4

x2 2 2x 2 24x2 2 9x 1 18

?x2 1 x 2 12

x2 2 16?

Georgia End-of-Course Practice TestFor use after Chapter 14


Column A Column B

o4

n51 sn2 1 1d

The number ofpermutations of

18 objectstaken 3 at a time

The area of a sectorwith cmand u 5 608

r 5 5

Amplitude of thegraph of

y 5 26 cos 4x

wheref sxd 5 log4 x

f s2d

The solution ofx5

112

5x 2 2

3

o4

n51 s2n 1 5d

The number ofpermutations of

9 objectstaken 6 at a time


and u 5 908r 5 2.5

Amplitude of thegraph of

y 5 6 sin 7x

12

The solution ofx4

215

52x 2 1

2

cos 7p

12sin

5p

12


13. Multiple Choice What is the vertex of the

graph of

A B

C D E


A B C

D E

15. Multiple Choice Which equation representsthe perpendicular bisector of the line segmentconnecting the points and

A B

C D

E


A

B

C

D

E



A B

C D

E cos u 535

sec u 5 253

tan u 5 243

tan u 534

cos u 5 253

p < u <3p

2,

sin u 5 245

f21sxd 5 2x 1 11

f21sxd 5 212

x 1112

f21sxd 5 212

x 2112

f21sxd 5 22x 1 11

f21sxd 512

x 2 11

f sxd 5 22x 2 11?

y 5 23x 2 4

y 5 3x 1 4y 5 x 1 4

y 5 23x 1 4y 5 3x 2 4

s2, 8d?s24, 6d

262

6022

log4s2x 2 7d 5 log4s3x 2 13d?

s2, 7ds4, 5ds24, 37ds4, 25ds0, 5d

y 512

sx 2 4d2 1 5?

18. Multiple Choice What is the sum of thefirst 15 terms of the series

A 975 B 1015 C 1145

D 1165 E 1275

19. Multi-Step Problem Two motorized toyboats are released in a pool at time Boat 1 travels north of east at a rate of0.65 meter per second. Boat 2 travels due eastat a rate of 0.4 meter per second.

a. Write a set of parametric equations todescribe the path of each boat.

b. At what point will each boat hit theeast edge of the pool?

c. At what point do the paths of the twoboats cross?

d. Writing If the two boats are released atthe same time, will they collide? If so,how many seconds after the boats arereleased? If not, explain why not.

20. Multiple Choice Which of the following isa factor of the polynomial

A B

C D

E s2x 2 1ds3x 1 1ds3x 2 2dsx 1 1ds3x 2 1d

3x3 2 7x2 2 22x 1 8?

N

5 m

15 m

Boat 2

Boat 1

358

358t 5 0.

2 1 11 1 20 1 29 1 . . . ?




21. Multiple Choice How many differentlicense plates are possible if 4 digits arefollowed by two letters?

A 67,600 B 676,000

C 67,000 D 6,760,000

E 670,600

22. Multiple Choice What is the approximatehorizontal distance traveled by a football thatis kicked at an angle of with an initialspeed of 65 feet per second?

A 103 ft B 126 ft C 130 ft

D 145 ft E 152 ft


A B

C D

E


A

B

C

D

E None of these

f sxd 51

x 1 21 1

f sxd 51

x 2 21 1

f sxd 51

x 1 22 1

f sxd 5 51

x 2 22 1

3y

x1

y 517x

y 5 x7y 517

x

y 5 7xy 5 7x

y 5 log7 x?

508

25. Multiple Choice Given the triangle whereand cm, what is the approxi-

mate value of b?

A 0.066 cm B 15.0 cm

C 7.06 cm D 17.0 cm

E 9.06 cm


A

B

C

D

E


A B

C D

E

28. Multiple Choice A dart thrown at the squaretarget shown is equally likely to hit anywhereinside the target. What is the probability thatthe dart hits the shaded region?

A B C

D E3681

369

681

936

69

9

6

s0, 64ds0, 264ds0, 16ds16, 0ds64, 0d64y 5 x2?

sx 2 8d2sx 2 2dsx 2 8dsx 1 8dsx 2 2dsx 2 2dsx 1 8d2

sx 2 8d2sx 1 2d(x 2 2dsx 1 2dsx 1 8d

x3 2 18x2 1 96x 2 128?

a

b

c

B

A C

a 5 8A 5 288





choose the statement that is true about

the given quantities.





29.

30.

31.

32.

33.


A 108.2 B 54.1 C 158.5

D 46.4 E 92.7

35. Multiple Choice Suppose you deposit$15,600 in an account that pays 6.5% annualinterest. What is the balance after two years ifthe interest is compounded monthly?

A $15,769.46 B $16,644.76

C $17,354.27 D $17,585.04

E $17,759.49

c 5 18?b 5 10,A 5 318,

36. Multiple Choice What is the factorizationof given that

A

B

C

D

E

37. Multiple Choice Which is the standardform of the equation where the point is on a circle whose center is the origin?

A B

C D

E

38. Multiple Choice If and what

is

A 0.14 B 0.26 C 0.32

D 0.38 E 0.42

39. Multiple Choice What fraction is equivalentto the repeating decimal 8.18181. . . ?

A B C

D E

40. Multiple Choice What is the period of the

graph of

A B C

D E23

2p

5

3p

45p

25p

y 523

sin 5x?

22027

15419

9011

10713

587


PsAd 5 0.57,

x2 1 y2 5 8

x2 2 y2 5 8x2 1 y2 5 40

x2 1 y2 5 89x2 2 y2 5 40

s25, 8d

sx 1 4ds2x 1 1dsx 2 7dsx 2 7ds2x 2 1dsx 2 4d(x 2 4ds2x 1 1dsx 2 7dsx 2 7ds2x 2 1dsx 1 4dsx 2 4ds2x 1 1dsx 1 7d

f s24d 5 0?f sxd 5 2x3 2 7x2 2 53x 1 28



Column A Column B

3 2 15 4 5 1 6 ? 4

k where z variesjointly with x and y;

and when x 5 5

y 5 10z 5 100

12 4 2 1 3s11 2 5dk where z varies

inversely with x anddirectly with y;

and when x 5 3

y 5 2z 5 12

6C3 8C4



The value of sec 3108 The value of tan 1508

ANSWERS

Algebra 2 A1Georgia Standardized Test Practice Workbook


Chapter 1Section 1.1

1. B 2. E 3. D 4. B 5. A 6. C 7. B

8. B 9. C 10. E

Section 1.2

1. D 2. B 3. A 4. E 5. C 6. B 7. A

8. D 9. E 10. C

Section 1.3

1. B 2. D 3. B 4. E

5. a. b. c. $72.25

d. No. Increasing the size of the borderreduces the length and width of the plantedgarden by 0.25 meter uniformly. Therefore,

Since thereis not enough money available.

6. B 7. A

Section 1.4

1. E 2. C 3. B 4. C 5. B 6. A 7. B

8. D 9. D 10. B

Section 1.5

1. B 2. C 3. A 4. E

5. a. 6

b. Pay for 6 hoursPay for additional hours addition-al hours worked

c.

d.

e.

6. E 7. D

5 $82.00

P 5 $6.25s6d 1 $7.25s4d 1 $7.75s2d

P 5 $6.25s6d 1 $7.25s3d 5 $59.25

P 5 $6.25s6d 1 $7.25h

5 h5 $7.25;

5 $6.25;Total pay 5 P;

Additionalhours worked

3Pay for additional hours

13Pay for6 hours

5Total pay

$4.25 3 24.75 m2 5 $105.19,80 m2 2 s8.5 m 3 6.5 md 5 24.75 m2.

17 m280 m2

Section 1.6

1. E 2. B 3. D 4. E

5. a. 38 points b. 51 points c. 89

d. Your score must be between 94 and 100,inclusive.

e. Yes

6. C 7. B

Section 1.7

1. D 2. B 3. E 4. E 5. A

6. A 7. C 8. A 9. B 10. D


1. B 2. E 3. A 4. C 5. B 6. B 7. D

8. C 9. C

Section 2.2

1. D 2. A 3. A 4. B

5. a. b. 12 feet c. about 61.2 feet

d. Since it meets the requirement that

the pitch be at least because

6. A 7. D

Section 2.3

1. D 2. B 3. E 4. C 5. C 6. B 7. A

8. A 9. E

Section 2.4

1. D 2. A 3. E 4. C 5. B 6. C 7. A

8. D 9. A

Section 2.5

1. A 2. A 3. D

4. a. b. negative correlation

0 1 2 3 4 5 6 70

10

20

30

40

50

60

70

Training (hours)

Wo

rk-h

ou

rs lo

st

per

mo

nth

x

y

14 > 1

5.15

1560 5

14,

15

An

swers

Answers continued

c. (Answers may vary.)

d. 8 (Answers may vary.)

5. C

Section 2.6

1. C 2. A 3. B 4. E

5. a.

b. United States rate

United States time

Canada rate

Canada time

Value of card

c.

d.

e.

6. D 7. C

Section 2.7

1. A 2. D 3. E 4. C 5. B 6. C 7. A

8. B 9. C

Section 2.8

1. B 2. E 3. C 4. C 5. C 6. A 7. B

8. E

78.60 ≤/ 75

10.40 1 68.20 ≤ 75

0.13s80d 1 0.62s110d ≤ 75

75 ≤ 75

13 1 62 ≤ 75

0.13s100d 1 0.62s100d ≤ 75

0 200 400 6000

20

40

60

80

100

120

140

Calls within the

United States (minutes)

Calls t

o C

an

ad

a (

min

ute

s)

x

y

0.13x 1 0.62y ≤ 75

5 75

5 y

5 0.62

5 x

5 0.13

Valueof thecard

≤Canadatime

?Canadarate

1UnitedStatestime

?UnitedStatesrate

y 5 26.9x 1 70.1


1. B 2. C 3. A 4. E

5. a.

b. c.

d. From the graph you can see that it wouldbe better to choose the Zap ElectricCompany since the line falls beneath theline for the Bolt Electric Company. Also,using the equations you can see that theZap Electric Company would charge$11.47 while the Bolt Electric Companywould charge $12.67 for the 82 kilowatthours of electricity.

6. B

Section 3.2

1. C 2. A 3. C 4. A 5. B 6. C 7. D

Section 3.3

1. E 2. D 3. B 4. B 5. A 6. C

Section 3.4

1. D 2. A 3. E 4. A 5. C 6. A 7. A

Section 3.5

1. D 2. C 3. E 4. A 5. C 6. A

Section 3.6

1. C 2. E 3. E 4. B

5. a.

b. You should buy 6 pints of strawberries,1 pint of blackberries, and 2 pints of rasp-berries.

c. Yes, you would actually be spending less(about $11.25).

6. A

s 5 2sb 1 rd1.2s 1 2b 1 1.4r 5 12;s 1 b 1 r 5 9;

s62, 10.27d

0 10 20 30 40 50 60 70 90800

2

4

6

8

10

12

14

Kilowatt hours

Co

st

of

ele

ctr

ic s

erv

ice

(in

do

llars

)

x

y

(60, 10.27)

y 5 0.12x 1 2.83y 5 0.06x 1 6.55;

A2 Algebra 2Georgia Standardized Test Practice Workbook


An

swer

s


Answers continued


1. C 2. C 3. E

4. a.

119,613 gallons less; $0.07 more

b.

Regular sold the most; Supreme sold theleast.

c. No, the matrix does not give you thatinformation. The first column provides youwith the total amount of gallons sold whilethe second column gives you the sum ofthe average prices.

d. You cannot make this claim since Supremegasoline rose $0.08 per gallon and soldfewer gallons while Plus gasoline rose$0.10 and sold more gallons.

5. B

Section 4.2

1. B 2. A 3. D 4. C 5. A 6. A 7. E

Section 4.3

1. C 2. B 3. E 4. A 5. A 6. B 7. A

Section 4.4

1. B 2. B 3. E 4. D 5. B 6. C 7. B

Section 4.5

1. D 2. A 3. A 4. E 5. C

6. a. The cost for each fruit is $1.50 and foreach jelly jar is $3.00.

b. The cost for each fruit is $1.00 and foreach jelly jar is $3.40.

c. Sample answer:The cost for each fruitand jelly jar is different in parts (a) and (b);it is possible that the deluxe arrangementhas a less expensive selection of fruit andmore expensive selection of jellies.

31,605,3792,193,3402,644,573

2.982.742.594

32119,613

140,918387,631

0.080.100.074


1. B 2. D 3. B 4. C

5. a. b. 100 yards c.

d. 250 yards e.

6. A

Section 5.2

1. C 2. A 3. E 4. B 5. B 6. C 7. B

8. D

Section 5.3

1. E 2. C 3. C 4. B 5. C 6. B 7. A

8. B

Section 5.4

1. B 2. E 3. A 4. C 5. C 6. B 7. B

8. D 9. B

Section 5.5

1. C 2. D 3. B 4. B 5. A 6. D 7. C

8. D

Section 5.6

1. B 2. A 3. E 4. A 5. C 6. A 7. B

8. B

Section 5.7

1. A 2. E 3. C

4. a. b.

c. 10,000 units d. 9000 units

e. The graph shows that the supply will begreater than the demand for any amountover $5.

5. B

s2, 6d, s5, 9d

0 1 2 3 4 5 6 70

1

2

3

4

5

6

7

8

9

10

Price per unit (dollars)

Nu

mb

er

of

un

its (

tho

usan

ds)

p

q

y 5 20.05x2 1 5x

s50, 0ds100, 0d


An

swers

Answers continued

Section 5.8

1. A 2. C 3. D 4. C

5. a. 2.75, 3.40, 3.82, 4.71, 5.20, 6.11; no, theratios keep increasing as the number ofappointments increases.

b. 0.344, 0.340, 0.347, 0.337, 0.346, 0.339;the ratios are approximately equal.

c. d. about 214 phone calls


1. A 2. E 3. D 4. E 5. C 6. C 7. A

8. B 9. C

Section 6.2

1. D 2. D 3. B 4. E

5. a. 46.8 in. to 48.8 in.

b. for both, as andas

c.

d. About 3 months old; read each value fromthe y-axis and find its corresponding valueon the x-axis.

6. A

Section 6.3

1. B 2. E 3. C 4. B 5. D

6. a. Marta’s worth is Lauren’s

worth is 4600s1 1 rd.

3000s1 1 rd2 12500s1 1 rd3 13600s1 1 rd2 1 3200s1 1 rd;

2000s1 1 rd3 1

0 3 6 9 12 15 18 210

10

20

30

40

50

60

70

Age (months)

Maxim

um

no

rmal h

eig

ht

(in

ch

es)

t

H

0 3 6 9 12 15 18 210

10

20

30

40

50

60

70

Age (months)

Min

imu

m n

orm

al h

eig

ht

(in

ch

es)

t

L

x → 1`f sxd → 1`x → 2`f sxd → 2`

p < 0.342a2

b.

c. Convert 6% to a decimal (0.06) and substi-tute the decimal into the polynomialexpression found in part (b). The totalworth is $21,040.

Section 6.4

1. E 2. A 3. A 4. C 5. A 6. C 7. C

8. D

Section 6.5

1. C 2. E 3. A 4. D 5. B 6. C 7. A

Section 6.6

1. A 2. C 3. E 4. C 5. A 6. B 7. C

8. C 9. A 10. B

Section 6.7

1. E 2. D 3. B 4. D 5. B 6. C 7. A

8. C

Section 6.8

1. A 2. D 3. E 4. B

5. a.

b.

c. No; the local maximum occurs at aboutand the local minimum

occurs at about but xmust be greater than 5 for the side of length

to have a positive measure.

d. 10 ft by 7 ft by 3 ft

6. C

Section 6.9

1. C 2. B 3. E

4. a. The house-cleaning service model isand the lawn-care

service model is

b. You should choose the house-cleaningservice since it will make a larger profit of $1005 as compared to the lawn-careservice which will make a profit of $972.

P 5 8t2 2 16t 1 12.P 5 8.5t2 2 19.5t 1 15

x 2 5

s3.361, 220.745d,s20.694, 12.597d

f sxd 5 x3 2 4x2 2 7x 1 10

4500r3 1 20,100r2 1 34,500r 1 18,900



An

swer

s


Answers continued


1. B 2. E 3. B 4. A 5. C 6. C

7. a. b. 26.5 in.

c. about d. 18.6%

e. You need only a third or 6.2%.

Section 7.2

1. E 2. B 3. C 4. C 5. C 6. B 7. B

8. A

Section 7.3

1. C 2. D 3. D 4. A 5. D 6. B 7. A

8. C

Section 7.4

1. C 2. E 3. C 4. B 5. A 6. B 7. C

8. D

Section 7.5

1. B 2. D 3. C 4. A

5. a. b. 25.6 knots

c. 152.02 nautical miles

d. Yes, since the minimum fetch required fora fully developed storm is about 62.06nautical miles.

Section 7.6

1. C 2. B 3. C 4. E 5. A 6. D 7. A

8. A 9. C 10. B

Section 7.7

1. B 2. E 3. C 4. C 5. B 6. D

7. a. 89.5 b. 88.4 c. 2.3 d. 98

e.70 74 78 82 86 90 94 98

71 80.5 89.5 98 100

0 40 80 1200

4

8

12

16

20

24

28

Fetch (nautical miles)

Win

d s

peed

(kn

ots

)

f

s

4,650,000 in.3864,000 in.3

f. These student scores are more spread outabout the mean.

Cumulative Standardized Test PracticeChapters 1–7

1. B 2. A 3. E 4. C 5. E 6. D 7. B

8. D 9. C 10. E 11. C 12. A 13. A

14. B 15. B 16. C 17. E 18. A 19. D

20. A 21. C 22. C 23. B

24. a. Total number of boxes;Amount of income from sales

b.

and

c.

d. Solving the system of equations alge-braically is the better method since estimat-ing coordinates from a graph can some-times be inaccurate.

25. E 26. B 27. D 28. B 29. C 30. E

31. A 32. B 33. A 34. B 35. C 36. B

37. A 38. D 39. D 40. E


1. A 2. D 3. C 4. B

5. a.

b. c. $525.11

d. $525.47

e. The better investment is the account whichoffers 5% compounded quarterly. The inter-est rate is of more importance except if theannual interest rates are the same.

Section 8.2

1. B 2. D 3. D 4. A 5. D

A 5 50011 10.05

4 24

A 5 50011 10.049365 2365

; s25, 40d

10

y

x10

y 5 40x 5 252.5x 1 3y 5 182.5;x 1 y 5 65;

2.5x 1 3y 5x 1 y 5


An

swers

Answers continued

6. a. b. $14,611

c.

d. about 2 years

e. Yes, since this is an exponential decayfunction the end behavior of the graph willapproach 0 as t approaches

Section 8.3

1. D 2. A 3. D 4. C 5. E 6. A 7. C

8. A 9. B 10. E

Section 8.4

1. C 2. D 3. E 4. A 5. C 6. A 7. C

8. C 9. B 10. C

Section 8.5

1. E 2. B 3. D 4. A 5. C 6. C 7. D

8. A 9. B

Section 8.6

1. B 2. E 3. B 4. E 5. D 6. B 7. A

8. C 9. A 10. E

Section 8.7

1. B 2. C 3. B 4. E 5. D 6. A 7. A

8. A 9. B

Section 8.8

1. C 2. E 3. C 4. A 5. B

6. a. 0.1845; 1.167; 5.605

b. c. asymptotes:x-axisand y-intercept: 1.167;point of maximumgrowth

d. ln 30 < 3.401

s1.6, 3.5d

y 5 7;

2

y

x2

`.

0 1 2 3 4 5 6 70

4,000

8,000

12,000

16,000

20,000

24,000

28,000

Time (years)

Car

valu

e (

do

llars

)

t

y

y 5 26,000s0.82dt

e. At first the function grows very slowly,then it grows faster and faster until thegrowth rate reaches its peak at the point

After this, the growth rate dropsoff until the curve again becomes almostflat, approaching asymptotically.


1. C 2. D 3. B 4. C 5. C 6. C 7. A

8. E

Section 9.2

1. E 2. B 3. B 4. C 5. A

6. a. b. c.

d.

e.

f. The asymptotes will intersect at

Section 9.3

1. E 2. B 3. B 4. C

5. a.

b. 4.08

c. You would need to convert the miles tometers by multiplying the number of milesby 1609.347 and then use the function tofind the acceleration due to gravity.

Section 9.4

1. D 2. B 3. E 4. C 5. A 6. B

mysec2

0

2,00

0,00

0

2,50

0,00

0

3,00

0,00

0

3,50

0,00

0

4,00

0,00

0

4,50

0,00

0

5,00

0,00

0

1,50

0,00

0

1,00

0,00

0

500,

0000

1

2

3

4

5

6

7

8

9

10

Altitude (meters)

Gra

vit

y (

m/s

ec

2)

h

g9

sh, kd.

2

y

x2

s22, 1ds22, 21d

s2, 21ds2, 1ds0, 0d

y 5 7

sln 5, 3.5d.



An

swer

s


Answers continued

Section 9.5

1. B 2. C 3. C 4. E 5. A 6. C

Section 9.6

1. A 2. A 3. E 4. E 5. A 6. C 7. B

8. B 9. D


1. B 2. E 3. B 4. A 5. C 6. D 7. B

8. B 9. C

Section 10.2

1. E 2. A 3. C 4. B 5. D 6. C

7. a. b. 1.25 ft

c. 2.5 feet above the vertex

Section 10.3

1. B 2. C 3. A 4. E 5. D 6. C 7. B

8. A

Section 10.4

1. A 2. C 3. C 4. D 5. B 6. E

7. a. b.

c. vertices: co-vertices:

foci:

d.

e. The area of the garden decreases to about84.82 square feet.

Section 10.5

1. D 2. A 3. C 4. D

5. a.

b. c.y2

42

x2

605 12!2 1 !20 < 7.3 in.

2 1 !29 < 7.39 in.

100.53 ft2s±4!3, 0d

s0, ±4d;s±8, 0d;

2

y

x2

x2

641

y2

165 1

x2 5 20y

Section 10.6

1. B 2. D 3. C 4. D 5. B 6. A 7. B

8. C

Section 10.7

1. B 2. A 3. E 4. E 5. C 6. B 7. A

8. B


1. D 2. C 3. B 4. A 5. E 6. B 7. C

8. B 9. C 10. A

Section 11.2

1. C 2. E 3. B 4. E 5. A 6. E 7. B

8. C 9. A

Section 11.3

1. B 2. A 3. B 4. D 5. A 6. E

7. a. Company A:Company B:

b.

c. Company A: $3378.5 million; Company B: $2250.6 million

d. It is not until 1999 that the revenue ofCompany B exceeds that of Company A.Over a long period of time Company B isthe better investment since its revenue willbe growing at a much faster rate.

0 1 2 3 4 5 6 7 8 9 100

200

400

600

800

1000

1200

Year (1 5 1991)

Company B's Revenue

Reven

ue

(millio

ns o

f d

ollars

)

n

an

0 1 2 3 4 5 6 7 8 9 100

100

200

300

400

500

600

Year (1 5 1991)

Company A's RevenueR

even

ue

(millio

ns o

f d

ollars

)

n

an

an 5 2.2s2dn21an 5 100.8 1 43.1n;


An

swers

Answers 5 continued

Section 11.4

1. A 2. D 3. D 4. E 5. B 6. C 7. B

8. A

Section 11.5

1. D 2. C 3. E 4. D 5. C 6. D

7. a.

b. 3024 trees

c.

d. It would seem that over an extended periodof time the number of pine trees remainingon the farm would level off to about 2000trees.

Chapter 12

Section 12.1

1. D 2. E 3. D 4. A 5. C 6. A 7. A

8. C 9. B 10. D

Section 12.2

1. D 2. A 3. B 4. E 5. B6. a. 10,920 b. 10,920

c. They are the same solution since

7. A 8. E 9. C

Section 12.3

1. B 2. A 3. B 4. E 5. D 6. C 7. B

8. B

Section 12.4

1. E 2. C 3. B 4. E 5. A 6. B

7. a. 0.292 b. 0.008 c. 0.175 d. 0.533

nCr 3 mCr 5 nCn2r 3 mCm2r.

0 1 2 3 4 5 6 7 8 9 100

500

1000

1500

2000

2500

3000

3500

4000

Year

Pine Tree Farm

Tre

es

n

an

a1 5 4000, an 5 s0.8dan21 1 400

e. You would have to select at least four partsfrom the box since any of the first three selec-tions could be a defective part. On the fourthselection you would be sure that it is a goodpart.

8. D 9. A

Section 12.5

1. B 2. C 3. C 4. D 5. E 6. A 7. B

8. C 9. A

Section 12.6

1. B 2. D 3. E 4. A 5. B 6. A 7. A

8. B 9. E 10. E

Section 12.7

1. C 2. E 3. C 4. D 5. B 6. D

7. a. 97.5% b. 84% c. SAT

d. You could translate SAT scores intopercentiles of the normal distribution.Those percentiles could then betransformed into ACT scores of theequivalent percentile. 8. B


1. C 2. A 3. E 4. D 5. B

6. a. about 2265 ft, or about 0.53 mi

b. about 1060 ft

c. about 2700 ft;Sample answer: I found thedistance from the helicopter to the pointdirectly above the far side of the island by

solving for and

then subtracted the value for x from part (b).

Section 13.2

1. B 2. A 3. C 4. E 5. C 6. C 7. B

8. B 9. B 10. C 11. A

Section 13.3

1. D 2. B 3. B 4. A 5. E 6. C 7. D

8. A 9. B 10. B 11. C

Section 13.4

1. C 2. A 3. A 4. B 5. E 6. C

7. a. about 34.88

x 1 w,tan 288 52000

x 1 w



An

swer

s


Answers continued

b.

c. about 1.49 ft

d. As you move closer to the shell d must getsmaller and smaller. As you move closer,the angles and will decrease, alongwith the distance y, until you are standingdirectly over the shell, at which time y(and also d) will be zero.

Section 13.5

1. D 2. B 3. E 4. C 5. A6. a. about 460 ft

b. about 460 ft

c. The method from part (b); it was themethod that seemed more obvious andstraightforward.

Section 13.6

1. A 2. C 3. B 4. E 5. C 6. A 7. A

8. A 9. B 10. B

Section 13.7

1. A 2. D 3. B 4. A 5. C 6. A 7. C

8. B


1. C 2. E 3. A 4. A 5. B 6. D 7. C

8. A

Section 14.2

1. A 2. D 3. A 4. C 5. a.

b.

c. d. If you take thefirst graph, reflect itin the x-axis, shift itup 3500, you wouldthen have thesecond graph.

0 10 20 30 40 50 60 700

500

1000

1500

2000

2500

3000

3500

Angle (degrees)

Heig

ht

(feet)

u

d

d 5 3500 2160tan u

d 5160tan u

u2u1

x < 2.09 ft; y < 3.58 ft

Section 14.3

1. E 2. C 3. B 4. B 5. A 6. C

7. a.

b. Your feet follow a circle with a radius of 6inches. Roger’s feet follow an ellipsewhose major axis is 8 inches long andwhose minor axis is 4 inches long.

c. 1; 1.5

d. In one second, your feet travel around 1time and Roger’s feet travel around 1.5times. So, Roger is pedaling faster.

Section 14.4

1. A 2. D 3. C 4. B 5. D 6. A 7. A

8. C 9. C

Section 14.5

1. C 2. E 3. B 4. E 5. A 6. C 7. A

8. C 9. A

Section 14.6

1. E 2. B 3. B 4. D 5. A 6. C

7. a.

b. The graph is periodic.

c. The height h of the Ferris wheel willalternate between the minimum height of 6 feet and the maximum height of 66 feetevery 10 seconds.

Section 14.7

1. C 2. A 3. D 4. E 5. A 6. A 7. B

8. B 9. D 10. A

Georgia End-of-Course Practice Test1. C 2. E 3. C 4. B 5. B 6. B 7. A

8. C 9. C 10. A 11. B 12. E 13. D

14. C 15. B 16. C 17. D 18. A

10

y

xp3

h 5 230 cos1 p

10t2 1 36

x2 1 y2 5 36; x2

161

y2

45 1


An

swers

Answers continued

19. a. Boat 1: ;

Boat 2:

b. Boat 1: Boat 2:

c.

d. No, Boat 1 passes the point of intersectionafter 13.4 sec, Boat 2 after 17.8 sec.

20. A 21. D 22. C 23. A 24. D

25. B 26. E 27. C 28. E 29. C 30. B

31. B 32. B 33. A 34. D 35. E 36. B

37. B 38. E 39. C 40. D

s7.1, 5ds15, 5ds15, 10.5d;

x 5 0.4t, y 5 5

x 5 0.53t, y 5 0.37t



An

swer

s

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Georgia Standardized Test Practice Workbook - … Standardized Test Practice Workbook McDougal Littell correlated to the ... 4 3 22 23s3x 1 2d 1 x? 5s2x 1 6d 5 1 4 24 22