First Degree Equations and Inequalities 0 Equations … Solving Systems of Inequalities by Graphing Xfi 0.. £. 130 Graphing Calculator Lab: Systems of Linear ... C h a p t e r Q u

First Degree Equations and Inequalities

Equations and Inequalities0• ' "

*> D ~7- 7 < d I 1 - 4 S o l v i n g A b s o l u t e V a l u e E q u a t i o n s 2 7

Mid-Chapter Quiz

1 - 1 E x p r e s s i o n s a n d F o r m u l a s 6

1 - 2 P r o p e r t i e s o f R e a l N u m b e r s H

1 - 3 S o l v i n g E q u a t i o n s 1 8

SO \ 1-5 Solving Inequalities

r(j2 Reading Math: Interval Notation

32

33.40

Prerequisite Skills• Get Ready for Chapter 1 5• Get Ready for the Next Lesson

10, 17, 26, 31, 39

Reading and Writing Mathematics• Reading Math 40• Vocabulary Link 19,41,42• Writing in Math 10, 17, 26, 31,

39,47• Reading Math Tips 12,35,43

Standardized Test Practice• Multiple Choice 10, 17, 21, 23,26,

31, 32, 39, 48, 53, 54, 55

H.O.T. ProblemsHigher Order Thinking

• Challenge 10,17,26,31,38,47• Find the Error 25, 47• Open Ended 10,17,26,31,38,47• Reasoning 10,17,26, 38

v i i iBryan Putorjon/Gstly Images

d tyl f ]"6 Solvin8 Compound and Absolute Value Inequalities 416 ^ 7 ) * A S S E S S M E N T *

S t u d y G u i d e a n d R e v i e w • • - 4 9P r a c t i c e T e s t 5 3

S t a n d a r d i z e d T e s t P r a c t i c e 5 4* For formative and summative assessment options,

see page 5.

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Q Linear Relations and Functions/ S'O *" JO ^ 2-1 Relations and Functions

Reading Math: Discrete and Continuous Functions in theReal World

J 102 - 2 L i n e a r E q u a t i o n s . 6 6

2 - 3 S l o p e 7 1

Graphing Calculator Lab: The Family ofL i n e a r F u n c t i o n s 7 8

2 - 4 W r i t i n g L i n e a r E q u a t i o n s 7 9

M i d - C h a p t e r Q u i z 8 52 - 5 S t a t i s t i c s : U s i n g S c a t t e r P l o t s 8 6

^JSJMBr Graphing Calculator Lab: Lines of Regression 922 - 6 S p e c i a l F u n c t i o n s . . [ . . . , . . ; 9 52 - 7 G r a p h i n g I n e q u a l i t i e s . . . £ . Q . m . 1 0 2

ASSESSMENT *

S t u d y G u i d e a n d R e v i e w 1 0 6

too 5

Practice Test I l lStandardized Test Practice

For formative and summative assessment options,see page 57.

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64, 70, 77,84, 91, 101

Reading and Writing Mathematics• Reading Math 65• Writing in Math 64,70,76,84,91,

101, 105• Reading Math Tips 61,74,87

Standardized Test Practice• Multiple Choice 64,70,77,82,84,

85, 91, 101, 105, 111, 112, 113• Worked Out Example 80

ROT. ProblemsHigher Order Thinking• Challenge 64,70,76,84,90,100,

105• Find the Error 64,76• Open Ended 64,70,76,84,91,100• Reasoning 70,76,84,100,105

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0 Systems of Equations and Inequalities3-1 Solving Systems of Equations by Graphing 1163-2 Solving Systems of Equations Algebraically ...ft.Y. 1233-3 Solving Systems of Inequalities by Graphing Xfi 0.. £. 130

Graphing Calculator Lab: Systems of LinearI n e q u a l i t i e s . & . . C . . . 3 - I 3 6

M i d - C h a p t e r Q u i z . . . . . . . y 1 3 73 - 4 L i n e a r P r o g r a m m i n g ' . 7 J . M . . / . 1 3 83-5 Solving Systems of Equations in Three Variables.. .(&D.4:.. 145

ASSESSMENT *

S t u d y G u i d e a n d R e v i e w 1 5 3Practice Test 157S t a n d a r d i z e d T e s t P r a c t i c e 1 5 8



122, 129,135, 144

Reading and Writing Mathematics• Writing in Math 122,129,135,

144, 151• Reading Math Tips 131,138

Standardized Test Practice• Multiple Choice 122,127,129,135;

137, 144, 151, 157, 158, 159• Worked Out Example 124

KO.X ProblemsHigher Order Thinking• Challenge 122,128, 135,144,151• Find the Error 128,151• Open Ended 121,128,134,143,

151• Reasoning 121, 128,134,143,151• Which One Doesn't Belong? 144

y 2 $

Q Matrices4 - 1 I n t r o d u c t i o n t o M a t r i c e s t . . . . . . . T; 1 6 2

| Spreadsheet Lab: Organizing Data.. ./.#/ 168 I Li ^4 - 2 O p e r a t i o n s w i t h M a t r i c e s ( / . P. 5 1 6 94 - 3 M u l t i p l y i n g M a t r i c e s L p . . Q . . - ? . 1 7 74-4 Transformations with Matrices... .Lt. .0.5.../ .%0.\f... 185

M i d - C h a p t e r Q u i z 1 9 34 - 5 D e t e r m i n a n t s ( j Q . . D . 1 9 44 - 6 C r a m e r ' s R u l e { $ $ . . % 2 0 14-7 Identity and Inverse Matrices (# .Q. .9. 2084-8 Using Matrices to Solve Systems of Equations x,.. \ !j.. .t .;. 216

JSBBJfr Graphing Calculator Lab: Augmented Matrices.. .223A S S E S S M E N T * l $ 0 $ > k 0 1 >

S t u d y G u i d e a n d R e v i e w 2 2 4Practice Test 229S t a n d a r d i z e d T e s t P r a c t i c e 2 3 0



167, 176, 184, 192, 200, 207, 215

Reading and Writing Mathematics• Writing in Math 166,175,183,191,

199, 206, 214, 221• Reading Math Tips 162,163,185

Standardized Test Practice• Multiple Choice 167,176,184,189,

192,193, 200, 207, 215, 222, 229,230, 231

• Worked Out Example 186

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HJOX ProblemsHigher Order Thinking• Challenge 166,175,183,191,199,

206,214,221• Find the Error 199,221• Open Ended 166,175,183,191,

206, 214, 221• Reasoning 183,191,199,206,214,

221

Quadratic, Polynomial, and RadicalEquations and Inequalities"""- Quadratic Functions

and Inequalities15-0 4

5 - 1 G r a p h i n g Q u a d r a t i c F u n c t i o n s 2 3 6Reading Math: Roots of Equations and Zeros

o f F u n c t i o n s t . S . Q . 4 t . t . . i . X . 0 . . A 2 4 5 »/ /) / j*r o V5-2 Solving Quadratic Equations by Graphing M.k. .€... fM, .246

^jflfflP Graphing Calculator Lab: Modeling UsingQ u a d r a t i c F u n c t i o n s . . . . / . S T . O . ^ t . 2 5 2

5-3 Solving Quadratic Equations by Factoring ..A.Q.I. 253 /j / W»

5 - 4 C o m p l e x N u m b e r s . . . . 6 ? . C ? . $ 2 5 9

P r e r e q u i s i t e S k i l l s > M i d - C h a p t e r Q u i z 2 6 7• G e t R e a d y f o r C h a p t e r 5 2 3 5 5 _ 5 c , e t i n t n e S q u a r e . . . 5 7 . Z 2 6 8• G e t R e a d y f o r t h e N e x t L e s s o n | / / } /

244,251,258,266,275,283,292 I 5-6 The Quadratic Formula and the Discriminant.. K. WJ.... 276


244, 251, 258, 266, 275, 283, 292

Reading and Writing Mathematics• Reading Math 245• Writing in Math 243,251,258,266,

275, 282, 292, 300• Reading Math Tips 246,260,261,

276, 279


267, 275, 283, 289, 292, 300, 307,308, 309


HO.T. ProblemsHigher Order Thinking• Challenge 243,251,258,265,275,

282, 292, 300• Find the Error 257,274,292• Open Ended 243,250,258,265,

274, 282, 292, 300• Reasoning 250,265,274,282,300• Which One Doesn't Belong? 265

I 5 - 5

Graphing Calculator Lab: Families of Parabolas.. .2847 Ana lyz ing Graphs o f Quadra t i c Func t ions 286

t Graphing Calculator Lab: Modeling Motion 293

•8 Graphing and Solving Quadratic Inequalities 294

ASSESSMENT *

S t u d y G u i d e a n d R e v i e w 3 0 2Practice Test

Standardized Test Practice...

Donovan Reoso/Getty Imagos

||p Polynomial Functions6 - 1 P r o p e r t i e s o f E x p o n e n t s \ * M . . . . 3 1 2

Reading Math: Dimensional Analysis.......- 3196-2 Operations with Polynomials.. J5X P...). J?....' 320

S I <"6 - 3 D i v i d i n g P o l y n o m i a l s 3 2 56-4 Polynomial Funct ions „ f f .v.6-5 Analyzing Graphs of Polynomial Functions.. (?..Q. 5 339

Graphing Calculator Lab: Modeling Data Using i £)< I U9 . ^ . . . . , . . / . . 3 4 6

M i d - C h a p t e r Q u i z 3 4 86-6 Solving Polynomial Equations .. t>-• /#.,mX^\ 3496-7 The Remainder and Factor Theorems (ft. / \ 3566 - 8 R o o t s a n d Z e r o s W . . \ . . ^ r 3 6 26-9 Rational Zero Theorem... b.. t. 2<. L.,..) 369

ASSESSMENT *

S t u d y G u i d e a n d R e v i e w 3 7 4P r a c t i c e T e s t 3 7 9S t a n d a r d i z e d T e s t P r a c t i c e 3 8 0

* For formative and summative assessment options,see page 311.

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Prerequisite Skills• Get Ready for Chapter 6 311• Get Ready for the Next Lesson 318,

324, 330, 338, 345, 355, 361, 368


344, 354, 361, 368, 373• Reading Math Tips 340,363


338, 345, 348, 355, 361, 368, 373,379, 380, 381


H.OJ. ProblemsHigher Order Thinking• Challenge 317,323,330,337,344,

354, 361, 368,373• Find the Error 317,330,373• Open Ended 317,323,330,337,

344, 354, 360, 368, 373• Reasoning 317,330,337,344,354,

360, 368• Which One Doesn't Belong? 323

Q Radical Equations and Inequalities


390, 396, 401,406, 414, 421


414, 421, 426• Reading Math Tips 392

f . ' . . \ 4 0 2

7-1 Operations on Functions 77..:. t 3847-2 Inverse Functions and Relations ./ ZT.P. .?r..../ .P. /.... 3917-3 Square Root Functions and Inequalities -«7-4 nth Roots f.TJ.9 |..../.j

M i d - C h a p t e r Q u i z 4 0 77-5 Operations with Radical Expressions.. .u/P..a.f .£74. .4087-6 Fractional Exponents k.P,,jBT.y.£?J.P. 4157-7 Solving Radical Equations and Inequalities, .j.. 6?. /y.. ..All ® &Q

\ Graphing Calculator Lab: Solving Radical * y" ^ E q u a t i o n s a n d I n e q u a l i t i e s 4 2 8 jASSESSMENT *

S t u d y G u i d e a n d R e v i e w 4 3 0P r a c t i c e T e s t 4 3 5S t a n d a r d i z e d Te s t P r a c t i c e 4 3 6


Standardized Test Practice• Multiple Choice 390,396,401,406, I

407, 414, 419, 421, 426, 435, 436, 1 ■■- • : . ' , . yM.437 ■ B B P P P ^ '

• Worked Out Example 418 '*•&* • •

Itat ProblemsHigher Order Thinking• Challenge 390,395,401,406,420,

426• Find the Error 390,414• Open Ended 390,395,401,405,

413, 420, 426• Reasoning 395,401,405,406,413,

420, 421, 426 ' '• Which One Doesn't Belong? 426

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Advanced Functions and Relations

'**"*. Rational Expressionsand Equations v

8-1 Multiplying and Dividing Rational Expressions 4428-2 Adding and Subtracting Rational Expressions.. .7. /. 7? 4508-3 Graphing Rational Functions.... f. .5f. P. .fe 457

' Graphing Calculator Lab: Graphing •R a t i o n a l F u n c t i o n s . / S ? 7 . U . \ # 4 6 4

8-4 Direct, Joint, and Inverse Variation .. /. y7?/. 5 465

M i d - C h a p t e r Q u i z 4 7 28 - 5 C l a s s e s o f F u n c t i o n s / < T ? fi . . / 4 7 3 / / 7 \8-6 Solving Rational Equations and Inequalities.. .vT/57..... 479 5~® O > / O . 6 . , y

Extend 8-6Equations and Inequalities with Graphs and Tables

ASSESSMENT

Study Guide and ReviewPractice TestStandardized Test Practice


\ '--:^.......- -j$$w*' y H^ i -SSfPIIP & M t


449, 456,463, 471, 478


478,486

Standardized Test Practice• Multiple Choice 443,446,449,

456,463,471, 472, 478, 486, 493,494, 495


H.O.T. ProblemsHigher Order Thinking• Challenge 448,455,462,463,471,

477,478,485• Find the Error 455,485• Open Ended 448,455,462,471,

477, 485• Reasoning 448,455,462• Which One Doesn't Belong? 448

t & t t & p

0 Exponential and logarithmic Relations


506, 517, 526, 533, 542


542, 549


533, 542, 546, 548, 550, 557, 558,559


liQJ. ProblemsHigher Order Thinking• Challenge 506,517,525,526,533,

541, 549• Find the Error 516,541• Open Ended 505,516,533,541,

549• Reasoning 506,525,526,533,549• Which One Doesn't Belong? 516

, . 1 * 0 * 8 4 9 89 - 1 E x p o n e n t i a l F u n c t i o n s * w

Extend 9-1 F^littiM?1!E q u a t i o n s a n d I n e q u a l i t i e s 5 0 7 ( j l I f

9 -2 Logar i thms and Logar i thmic Func t ions 509 , ^ /$~& ~~?

fjflBREB) Graphing Calculator Lab: Modeling Data usingE x p o n e n t i a l F u n c t i o n s !

9 -3 Proper t ies o f Logar i thms . . .& f . . -? . 520M i d - C h a p t e r Q u i z ^ 5 2 7

9 - 4 C o m m o n L o g a r i t h m s . . . W . / . 9 5 2 8

tfgfMEEfr Graphing Calculator Lab: Solving Logarithmic £ /$"Jm F a u a t i o n s a n d I n e q u a l i t i e s , . , ■ • 5 3 4

9-5 Baseeand Natural Logarithms ....R e a d i n g M a t h : D o u b l e M e a n i n g s 5 4 3

9-6 Exponential Growth and Decay..' £ r?.. ?...). .k/&.... 544

^3gflBE| Graphing Calculator Lab: Cooling... ).£&&. 551ASSESSMENT *


* For formative and summative assessment options,s e e p a g e 4 9 7 . . ^

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(^ Conic Sections10-1 Midpoint and Distance Formulas /./...'.1 0 - 2 P a r a b o l a s ( j l . Q . . ( f1 0 - 3 C i r c l e s 6 f . . Q . . f e

i Algebra Lab: Investigating Ellipses.. .& O.wt[Explore 10*:4

Mid-Chapter Quiz1 0 - 5 H y p e r b o l a s U . Q . . ( f . . . y1 0 - 6 C o n i c S e c t i o n s ( & . 0 . . & . * . !10-7 Solving Quadratic Systems ^. Q../..../. f..)

ASSESSMENT *




566, 573, 579, 588, 597, 602


596, 601, 608• Reading Math Tips 591,598


588,589, 597,602, 608, 615, 616,617


H.O.T. ProNemsHigher Order Thinking• Challenge 566,573,579,588,596,

601, 607• Find the Error 573,579• Open Ended 566,573,579,587,

596, 601, 607• Reasoning 566, 573, 579, 587, 596,

601, 607• Which One Doesn't Belong? 608

Discrete Mathematics

Sequences and Series


628, 635, 641, 649, 655, 662, 669


654, 662, 668, 673


648, 655, 656, 662, 669, 673, 679,680, 681


H.O.T. ProblemsHigher Order Thinking• Challenge 627,634,641,648,654,

662, 668, 673• Find the Error 640, 654• ODen Ended 627,634,640,648,

11-1 Arithmetic Sequences...

11-2 Arithmetic Series £.

11-3 Geometric Sequences,:yy>yy.6.A.3....

Hjgjjjj Graphing Calculator Lab: Lii11-4 Geometric Series .(fl f. *£*• • • • •11-5 Infinite Geometric Series ../.»£?./

Mid-Chapter Quiz

©3B9IP Spreadsheet Lab: Amortizing Loans .(s.11-6 Recursion and Special Sequences.../../. M..f._ _ _ ' * * ^4£3£|Uj) Algebra Lab: Fractals.... /. 4jt£).Sjr..11-7 The Binomial Theorem... t&f.Q.

11-8 Proof and Mathematical Induction .... J.rjr.C/..

ASSESSMENT *

Study Guide and Review

Chapter TestStandardized Test Practice

* For formative and summative assessment optio'see page 621.

<&gfo© Probability and Statistics1 2 - 1 T h e C o u n t i n g P r i n c i p l e ' . ^ 6 8 412-2 Permutations and Combinations.. /../. r...!. y**p • -690

Reading Math: Permutations and Combinations./ ffl. (... .6961 2 - 3 P r o b a b i l i t y . . . . / / . P . . ! . 6 9 71 2 - 4 M u l t i p l y i n g P r o b a b i l i t i e s . . / / . . . 7 0 31 2 - 5 A d d i n g P r o b a b i l i t i e s . . . . / / . Q . . . „ 7 1 0

M i d - C h a p t e r Q u i z 7 1 612-6 Stat is t ica l Measures. . . / .P. ~ \ . !? . . . \ ) 71712 -7 The No rma l D i s t r i bu t i on . . . L ' . f f . J . . 72412-8 Exponential and Binomial Distribution . .1.1.0. M./.(?.!.. .729

Algebra Lab: Simulations • « ? . ? . 7 5 4

Algebra Lab: Testing Hypotheses. ./P.P. jf.,. . .74012-10 Sampling and Error... /.&. ./3....... l).P.y\(y).. 741

ASSESSMENT *



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695, 702, 709, 715, 723, 728, 733,739


714, 723, 728, 733, 739, 744• Reading Math Tips 685,690,697,

699, 718


709, 715, 716, 723,728, 733, 739,744, 751, 752, 753


H.CXT ProblemsHigher Order Thinking• Challenge 688,694,702,709,714,

722, 728, 733, 739• Find the Error 708• Open Ended 688,694,701,708,

714, 722, 728, 732, 738, 744• Reasoning 688,694,714,722,733,

739,744• Which One Doesn't Belong? 722

TrigonometryTrigonometric Functions

Prerequisite Skills• Get Ready for Chapter 13 757• Getting Ready for the Next Lesson

767, 774, 783, 792, 798, 805

Reading and Writing Mathematics• Reading Math 759,768,770,

778, 740• Writing in Math 767,774,783,792,

798, 805, 811

Explore 13-1 Spreadsheet Lab: Special Right Triangles 7581 3 - 1 R i g h t T r i a n g l e T r i g o n o m e t r y ( d t fi . 3 ? . 7 5 9

13-2 Angles and Angle Measure (.?.... ....768Extend 13-2

l i - i A n g l e s a n a A n g l e i v i e d b u i e \ , * r * « « »

. Algebra Lab: Investigating Regular Polygons J O & Z5> j ' 'U s i n g T r i g o n o m e t r y 7 7 5

13-3 Trigonometric Functions of General Angles..S. ,Y. fry..... 776

M i d - C h a p t e r Q u i z y . 7 8 41 3 - 4 L a w o f S i n e s . . . . / . : S P . . . ! . . 7 8 5

1 3 - 5 L a w o f C o s i n e s l . $ . P . . j T 7 9 3

1 3 - 6 C i r c u l a r F u n c t i o n s . . . L ? T . Q . % 7 9 9

13-7 Inverse Trigonometric Functions.. /..?.... J..i. /.y/M. .806

ASSESSMENT*

S t u d y G u i d e a n d R e v i e w — : ' : . 8 1 2f a c t i c e T e s t • • W ^ ^ - M

Standard'Irfei*-'-'


783, 792, 798, 805, 811, 818, 819• Worked Out Example 760

UQ.T. ProblemsHigher Order Thinking• Challenge 767,773,798,805,811• Find the Error 792,797• Open Ended 767,773,783,792,

798, 805, 810• Reasoning 767,773,783,792,797• Which One Doesn't Belong? 805

John P. Koly'Gstty Images '

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^ Trigonometric Graphs and identities14-2 Translations of Trigonometric Graphs '14-3 Trigonometric Identities D....7. — ^14-4 Verifying Trigonometric Identities ..(. s.

M i d - C h a p t e r Q u i z — •14-5 Sum and Difference of Angles Formulas. J.5.9.. r... „14-6 Double-Angle and Half-Angle Formulas ?.

Graphing Calculator Lab: SolvinTrigonometric Equations C.vi I

14-7 Solving Trigonometric Equations ..l.^ff.YASSESSMENT *



Student HandbookBuilt-in Workbooks

Prerequisite SkillsExtra Practice

' '-';yy-" ■ ■'■■■-'^^^^^m^^St ■ 1


836,841, 846, 852, 859

Reading and Writing Mathematics• Reading Math Tips 848,850• Writing in Math 828,836,841,845,

852, 858, 866

j| Standardized Test Practice| • Multiple Choice 828,836, 841, 843,

846, 847, 852, 859, 866• Worked Out Example 843

HLO.T. ProblemsHigher Order Thinking• Challenge 827,835,841,845,852,

866• Find the Error 828• Open Ended 827,835,841,845,

852, 858, 866• Reasoning 827,841,852,858,866• Which One Doesn't Belong? 845

Documents

First Degree Equations and Inequalities 0 Equations … Solving Systems of Inequalities by Graphing Xfi 0.. £. 130 Graphing Calculator Lab: Systems of Linear ... C h a p t e r Q u