First Degree Equations and Inequalities Equations and Inequalities 0 •'" *> 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 Expressions and Formulas 6 1-2 Properties of Real Numbers H 1-3 Solving Equations 18 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. Problems Higher 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 viii Bryan Putorjon/Gstly Images d tyl f ]"6 Solvin8 Compound and Absolute Value Inequalities 41 6^7) * ASSESSMENT* Study Guide and Review • • -49 Practice Test 53 Standardized Test Practice 54 * For formative and summative assessment options, see page 5.
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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.
<&£&
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.
W*yM• • y y y y * ' ,▶ f ' , V >
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• • 1 ■ ■ ■
• \ J . . .
Prerequisite Skills• Get Ready for Chapter 2 57• Get Ready for the Next Lesson
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
For formative and summative assessment options,see page 115.
Prerequisite Skills• Get Ready for Chapter 3 115• Get Ready for the Next Lesson
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
For formative and summative assessment options,see page 161.
Prerequisite Skills• Get Ready for Chapter 4 161• Get Ready for the Next Lesson
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 - 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
Prerequisite Skills• Get Ready for Chapter 5 235• Get Ready for the Next Lesson
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
Standardized Test Practice• Multiple Choice 243,251,258,266,
267, 275, 283, 289, 292, 300, 307,308, 309
• Worked Out Example 288
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
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
Reading and Writing Mathematics• Reading Math 319• Writing in Math 317,323,330,337,
344, 354, 361, 368, 373• Reading Math Tips 340,363
Standardized Test Practice• Multiple Choice 317,324,329,330,
338, 345, 348, 355, 361, 368, 373,379, 380, 381
• Worked Out Example 326
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,
Prerequisite Skills• Get Ready for Chapter 7 383• Get Ready for the Next Lesson
390, 396, 401,406, 414, 421
Reading and Writing Mathematics• Writing in Math 390,396,401,406,
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
* For formative and summative assessment options,see page 383.
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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Raymond Gehmar/COFBIS
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
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
For formative and summative assessment options,see page 441.
\ '--:^.......- -j$$w*' y H^ i -SSfPIIP & M t
Prerequisite Skills• Get Ready for Chapter 8 441• Get Ready for the Next Lesson
449, 456,463, 471, 478
Reading and Writing Mathematics• Writing in Math 448,456,463,471,
478,486
Standardized Test Practice• Multiple Choice 443,446,449,
456,463,471, 472, 478, 486, 493,494, 495
• Worked Out Example 443
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
Prerequisite Skills• Get Ready for Chapter 9 497• Get Ready for the Next Lesson
506, 517, 526, 533, 542
Reading and Writing Mathematics• Reading Math 543• Writing in Math 506,517,526,533,
542, 549
Standardized Test Practice• Multiple Choice 506,517,526,527,
533, 542, 546, 548, 550, 557, 558,559
• Worked Out Example 546
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
S t u d y G u i d e a n d R e v i e w 5 5 2P r a c t i c e T e s t 5 5 7S t a n d a r d i z e d T e s t P r a c t i c e 5 5 8
* 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 *
Study Guide and ReviewPractice TestStandardized Test Practice
* For formative and summative assessment options,see page 561.
Prerequisite Skills• Get Ready for Chapter 10 561• Get Ready for the Next Lesson
566, 573, 579, 588, 597, 602
Reading and Writing Mathematics• Writing in Math 566,573,579,588,
596, 601, 608• Reading Math Tips 591,598
Standardized Test Practice• Multiple Choice 564,566,573,579,
588,589, 597,602, 608, 615, 616,617
• Worked Out Example 564
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
Prerequisite Skills• Get Ready for Chapter 11 621• Get Ready for the Next Lesson
628, 635, 641, 649, 655, 662, 669
Reading and Writing Mathematics• Writing in Math 627,634,641,648,
654, 662, 668, 673
Standardized Test Practice• Multiple Choice 628,635,639,641,
648, 655, 656, 662, 669, 673, 679,680, 681
• Worked Out Example 636
H.O.T. ProblemsHigher Order Thinking• Challenge 627,634,641,648,654,
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