Foundations for Functions
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1 Foundations for Functions (dumu>^ A< 6' 200%) o The Language and Tools of Algebra 1-1 V a r i a b l e s a n d E x p r e s s i o n s.,?. W A O r d e r o f O p e r a t i o n s.. W %. y. & Q. a O p e n S e n t e n c e s Identity and Equality Properties..W.'.r?.). J./.;T T h e D i s t r i b u t i v e P r o p e r t y.. & /.? J.. U. J. 2 6 M i d - C h a p t e r Q u i z Commutative and Associative Properties. 6? J. ^ /. 1 J.". 33 Reading Math: Arguments with Properties o f R e a l N u m b e r s Logical Reasoning and Counterexamples.. I.T.V.^ 39 k'mmvtn* Algebra Lab: Logic and Properties of Numbers 45 Get Ready for Chapter 1 5 9, 14, 20, 25, 31, 37, 44, 52 Reading Math 38 Vocabulary Link 26, 33 Writing in Math 9,14,19, 25,31, 37, 44, 52, 58 Multiple Choice 9,14, 20, 25, 31, 37, 42, 44, 52, 58 Worked Out Example N u m b e r S y s t e m s.. 1 P. # J. 1 Q 2? F u n c t i o n s a n d G r a p h s... W Q A 5 3 frffnfir.raal Algebra Lab: Investigating Real-World Functions S t u d y G u i d e a n d R e v i e w 6 0 Practice Test s e e p a g e 5. ^ ^ g f j a f c y - ~ Challenge 14,19,24,31,37,44, 52,58 Find the Error 13, 30 Open Ended 9,14, 19, 25, 30, 37, 44, 52, 58 Reasoning 9,19,25,30,44,58 Which One Doesn't Belong? 37 viii
2 U Solving Linear Equation 2-1 W r i t i n g E q u a t i o n s ? s 7 1 jl Algebra Lab: Solving Addition and S u b t r a c t i o n E q u a t i o n s Solving Equations by Using Addition and Subtraction. 5. Q Solving Equations by Using Multiplication and Division.50.^85 HP Algebra Lab: Solving Multi-Step Equations Solving Multi-Step Equations... 5~Q. J Solving Equations with the Variable on Each Side..5'D.' M i d - C h a p t e r Q u i z R a t i o s a n d P r o p o r t i o n s.. 3 J. O. j / ] Percent of Change...2).7.,..50!7 Ill Reading Math: Sentence Method and Proportion Method Solving for a Specific Variable.. 5D.% 5?.7 in 2-9 Weighted Averages...).Q.O.\ P Spreadsheet Lab: Weighted Averages 129 S t u d y G u i d e a n d R e v i e w Practice Test see page 69. Get Ready for Chapter , 84, 90, 97, 103, 110, 115, 121 Reading Math 116 Vocabulary Link 106 Writing in Math 76, 83, 90, 96, 102, 110, 115, 121, 128 Multiple Choice 76, 84, 90, 97, 103, 110, 115, 121, 128 Worked Out Example 100 H.0J. Problems Challenge 75, 83, 89, 96,102, 110, 114, 121, 128 Find the Error 90,115 Open Ended 75, 83, 89, 96, 102, 110, 114, 121, 128 Reasoning 89, 96, 102, 110, 121 Which One Doesn't Belong? 83
3 Linear Functions { ) Functions and Patterns Algebra Lab: Modeling Relations Representing Relations... J 5.P. I 3-2 Representing Functions... I.v..Q.5k 3-3 Linear Functions.. \..v.q. w Graphing Calculator Lab: Graphing Linear Functions Mid-Chapter Quiz 3-4 Arithmetic Sequences...6?.\3. Reading Math: Reasoning Skills 3-5 Proportional and Nonproportional Relationships.! 50 2>. Get Ready for Chapter , 154, 161, 170 Reading Math 171 Writing in Math 148,154,160, 170, 176 Study Guide and Review Practice Test see page 141. Multiple Choice 148,154,161, 170, 176 Worked Out Example 151 Challenge 148,154,160,169, 176 Find the Error 170 Open Ended 148,154,160, 169, 176 Reasoning 154,160
4 UP Analyzing Linear Equations nexpldre4-l Algebra Lab: Steepness of a line 4-1 Rate of Change and Slope... 5~f Q 4-2 Slope and Direct Variation... 5*1 P I Graphing Calculator Lab: Investigating Slope-Intercept Form 4-3 Graphing Equations in Slope-Intercept Form..5lP. ['Extend 4-3 Graphing Calculator Lab: The Family of Linear Graphs 5 \Q Mid-Chapter Quiz 4-4 Writing Equations in Slope-Intercept Form.. S \Q.. iiimtvmwiiriu hi rrra fi itkhjiial Ufal 4-5 Writing Equations in Point-Slope Form... 5 JO 220 Reading Math: Understanding the Questions Statistics: Scatter Plots and Lines of Fit..5P."7^).9.Q K Median-Fit Lines 4-7 Geometry: Parallel and Perpendicular Lines...(.'?. Study Guide and Review Practice Test see page 185. Get Ready for Chapter , 202, 209, 218, 225, 233, 241 Reading Math 226 Vocabulary Link 189, 216 Writing in Math 195,202,209,218, 225, 233, 241 Multiple Choice 195,202,209,216, 218, 225, 233, 241 Worked Out Example 214 Challenge 194, 195, 202, 208, 218, 225, 233, 241 Find the Error 195, 224 Open Ended 194, 202, 208, 218, 225, 233, 241 Reasoning 218,233 Which One Doesn't Belong? 202
5 ^f Solving Systems of Linear Equations Spreadsheet Lab: Systems of Equations Graphing Systems of Equations... v,.?.? s. 253 Graphing Calculator Lab: Systems of Equations Substitution LP. &?> Elimination Using Addition and Subtraction..LP.Q. «?V\ 266 M i d - C h a p t e r Q u i z Elimination Using Multiplication...6?.0 A 272 R e a d i n g M a t h : M a k i n g C o n c e p t M a p s Applying Systems of Linear Equations..(p.Q.'?- 280 S t u d y G u i d e a n d R e v i e w Practice Test see page 251. Get Ready for Chapter , 265, 270, 278 Reading Math 279 Writing in Math 258,265,270, 277, Griddable 265 Multiple Choice 258,265,270,275, 278, 284 Worked Out Example 274 Challenge 257,265,270,277 Find the Error 264,277 Open Ended 257,265,270, 277, 284 Reasoning 258,277 Which One Doesn't Belong? 284
6 %y Solving Linear inequalities 6-1 Solving Inequalities by Addition and Subtraction.. 5~P g^..5^ ^ k ^ ^ * A l g e b r a L a b : S o l v i n g I n e q u a l i t i e s 3 0 o 6-2 Solving Inequalities by Multiplication and Division. 5Qg,.SJjf7 6-3 Solving Multi-Step Inequalities... ^ 4. 5E> ^ 30g R e a d i n g M a t h : C o m p o u n d S t a t e m e n t s. ' ' Solving Compound Inequalities...6? Q Mid-Chapter Quiz 6-5 Solving Open Sentences Involving Absolute Value. 5Ql4SEfc 1 Graphing Calculator Lab: Graphing Absolute V a l u e F u n c t i o n s _, Solving Inequalities Involving Absolute Value G.Q 4,5 > I Graphing Inequalities in Two Variables..$T6?^.k..O.M:. 334 fca&m * Graphing Calculator Lab: Graphing Inequalities Graphing Systems of Inequalities...6? 0s3 341 S t u d y G u i d e a n d R e v i e w Practice Test 3 k For formative and summative assessment options see page 293. Get Ready for Chapter , 307, 313, 320, 327, 345 Reading Math 314,315,316 Writing in Math 298,307,313,319, 327, 338, 344 Multiple Choice 299,307,313,320, 328, 339, 345 Worked Out Example 304 Challenge 298,306,312,319,327, 338, 344 Find the Error 307, 327, 344 Open Ended 298, 306, 312, 319, 327, 338, 344 Reasoning 298,306,312,319, 327, 338 Which One Doesn't Belong? 313
7 Poiynomiais and Nonlinear Functions frf Polynomials >:j.\ 7-1 M u l t i p l y i n g M o n o m i a l s?.. '. \ riextend7-1 Algebra Lab: Investigating Surface Areas a n d V o l u m e s D i v i d i n g M o n o m i a l s??.! ) Reading Math: Mathematical Prefixes and Everyday Prefixes 374 [Txplore 7-3 Algebra Lab: Polynomials 7-3 Polynomials... $1 fe "Deplore 7-< j) Algebra Lab: Adding and Subtracting P o l y n o m i a l s Adding and Subtracting Polynomials...P.. \J 384 Get Ready for Chapter , 375, 381, 388, 395, 403 Reading Math 374 Writing in Math 363,373,380,388, 394, 403, 408 Griddable 371 Multiple Choice 363,373,381,388, 395, 403, 409 Worked Out Example 370 M i d - C h a p t e r Q u i z Multiplying a Polynomial by a Monomial U 390 JJ Algebra Lab: Multiplying Polynomials M u l t i p l y i n g P o l y n o m i a l s J. ) S p e c i a l P r o d u c t s....?. ). { S t u d y G u i d e a n d R e v i e w Practice Test * For formative and summati '. * -... _ Challenge 363,372,380,388,394, 402, 406 Find the Error 363,373,387 Open Ended 363,372,380,387, 394, 403, 408 Reasoning 363,372,380,387, 402, 408
8 <& & (jjp Factoring 8-1 Monomials and Factoring....5 \$m ne^orftss.' Algebra Lab: Factoring Using the Distributive Property 8-2 Factoring Using the Distributive Property...??. 13*... txplbre$3 I Algebra Lab: Factoring Trinomials 8-3 Factoring Trinomials: x2 + bx + c ?* Mid-Chapter Quiz 8-4 Factoring Trinomials: ax2 + bx + c \.?r 8-5 Factoring Differences of Squares... 5.!.<V Reading Math: Proofs 8-6 Perfect Squares and Factoring... 5.!.*k Study Guide and Review Practice Test see page 419. Get Ready for Chapter , 430, 439, 446, 452 Reading Math 453 Writing in Math 423,430,439,446, 452, 460 Multiple Choice 423,430,439,446, 452, 460 Worked Out Example 449 HOT- ftoblem: Challenge 423,430,439,445, 451, 460 Find the Error 439,446,451 Open Ended 423, 430, 438, 445, 451, 460 Reasoning 423,430,438,452,459 Which One Doesn't Belong? 460 *
9 HI Quadratic and Exponential Functions Jt&M&fi Graphing Calculator Lab: Exploring Graphs of Q u a d r a t i c F u n c t i o n s 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 P fi \jt* Graphing Calculator Lab: The Family of Q u a d r a t i c G r a p h s Solving Quadratic Equations by Graphing j. l*??.^ Solving Quadratic Equations by Completing the Square, ip. 9.k M i d - C h a p t e r Q u i z Solving Quadratic Equations by Using the / Q u a d r a t i c F o r m u l a Y? Q J [TxTenoTF i-<-i»j!' 1 1 ^ w k ' i 1 1 \ \ m w 1 1 K r i \ r. 1 1 \ m m i 1 1 k Exponential Functions 1.5OS" txpiore 9- MMoTlffliHRHfflH 9-6 Growth and Decay O.U.S. Get Ready for Chapter , 485, 491, 499, 508 Writing in Math 477,485,491,498, 508, 514 Study Guide and Review Practice Test see page Multiple Choice 475,477,485,491, 499, 508, 514 Worked Out Example 474 Challenge 477,484,490,498,507 Find the Error 498, 507 Open Ended 476,484,490,498, 507, 514 Reasoning 476,477,485,490,498, 507, 514 Which One Doesn't Belong? 490
10 Advanced Expressions and Data Analysis ^ Radical Expressions and Triangles 10-1 Simplifying Radical Expressions. M\ M Graphing Calculator Lab: Fractional Exponents Operations with Radical Expressions a R a d i c a l E q u a t i o n s... S. V V? Graphing Calculator Lab: Graphs of R a d i c a l E q u a t i o n s M i d - C h a p t e r Q u i z T h e P y t h a g o r e a n T h e o r e m The Distance Formula... J.! S i m i l a r T r i a n g l e s... I t f C,. / 7. Q Reading Math: The Language of Mathematics 566 S t u d y G u i d e a n d R e v i e w Practice Test For formative and summative assessment options, Get Ready for Chapter , 540, 546, 554, 559 Reading Math 566 Writing in Math 533,540,545,554, 559, 564 Multiple Choice 534,540,546,552, 554, 559, Worked Out Example 550 Challenge 533,539,545,554, 559, 564 Find the Error 545,564 Open Ended 533,540,545,554, 558, 564 Reasoning 533,545,554,562, 559, 564
11 fjj Rational Expressions and Equations fejiiote JM Graphing Calculator Lab: Inverse Variation Inverse Variation (&\*\ Rational Expressions... fo. I ~. 583 ) Graphing Calculator Lab: Rational Expressions Multiply Rational Expressions T D i v i d i n g R a t i o n a l E x p r e s s i o n s. 3. i r & R e a d i n g M a t h : P o s i t i o n o f S y m b o l s D i v i d i n g P o l y n o m i a l s... r? M i d - C h a p t e r Q u i z Rational Expressions with Like Denominators..*Jr? Rational Expressions with Unlike Denominators,5j.? Mixed Expressions and Complex Fractions,.fi/.^ Rational Equations and Functions...& I *4..?./ 626 ASSESSMENT* /S2?6 Get Ready for Chapter , 588, 594, 599, 606, 613, 619, 625, 632 S t u d y G u i d e a n d R e v i e w Practice Test For formative and summative assessment ootinns see page 575. Reading Math 600 Writing in Math 582, 587, 593, 599, 606, 613, 618, 625, 632 Multiple Choice 582, 588, 594, 599, 606, 613, 619, 632 Challenge 581,587,593,599,606, 612, 618, 624, 631 Find the Error 593, 612, 624 Open Ended 581,587,593,599, 606, 612, 618, 624, 631 Reasoning 581,587,599,631 Which One Doesn't Belong? 606
12 (y Statistics and Probability S a m p l i n g a n d B i a s.. J. l R e a d i n g M a t h : S u r v e y Q u e s t i o n s C o u n t i n g O u t c o m e s.... W P.. ( 6! P e r m u t a t i o n s a n d C o m b i n a t i o n s.. J M P. ' J 6! P r o b a b i l i t y o f C o m p o u n d E v e n t s... J. I. Q j & 6 M i d - C h a p t e r Q u i z P r o b a b i l i t y D i s t r i b u t i o n s... 1 \ Q % P r o b a b i l i t y S i m u l a t i o n s.... J. a S *! * 6 1 S t u d y G u i d e a n d R e v i e w 6 fi Practice Test 6fi 6S see paqe 641. Student Handbook Built-in Workbooks Reference P r e r e q u i s i t e S k i l l s 6 9 Extra Practice 71 M i x e d P r o b l e m S o l v i n g 7 4 P r e p a r i n g f o r S t a n d a r d i z e d T e s t s 7 5 E n g l i s h - S p a n i s h G l o s s a r y R S e l e c t e d A n s w e r s R 2 P h o t o C r e d i t s R 6 I n d e x R 6 Get Ready for Chapter , 654, 661, 669, 676 Reading Math 649 Vocabulary Link 665 Writing in Math 647,654,661,669, 676, 682 Multiple Choice 648,654,661, 667, 669, 676, 683 Worked Out Example 666 Challenge 642,654,661,669, 676, 682 Find the Error 661,669 Open Ended 647, 654, 661, 669, 675, 682 Reasoning 647,669 Which One Doesn't Belong? 661
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