Preparing for Algebra Preparing For...
Transcript of Preparing for Algebra Preparing For...
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Table of Contents
i
Preparing For AlgebraPreparing For Algebra
Personal Tutor
p. P18Multilingual
eGlossary
p. P2
Vocabulary
p. P2Foldables
p. P2
Get Started on Chapter 0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P2
Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P3
0-1 Plan for Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P5
0-2 Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . P7
0-3 Operations with Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P11
0-4 Adding and Subtracting Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . .P13
0-5 Multiplying and Dividing Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . .P17
0-6 The Percent Proportion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P20
0-7 Perimeter. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P23
0-8 Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P26
0-9 Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P29
0-10 Surface Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P31
0-11 Simple Probability and Odds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P33
0-12 Measures of Center, Variation, and Position . . . . . . . . . . . . . . . . . . . . . . . .P37
0-13 Representing Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P41
Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .P47
Preparing for Algebra
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Unit 1 | Relationships between Quantities
Personal Tutor
pp. 6, 99Multilingual
eGlossary
pp. 4, 74
Vocabulary
pp. 4, 139Animation
pp. 18, 90
Expressions, Equations, Expressions, Equations, and Functionsand FunctionsExpressions, Equations, and Functions
Get Ready for Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1-1 Variables and Expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1-2 Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10
1-3 Properties of Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16
Extend: Algebra Lab Accuracy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
1-4 The Distributive Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .25
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .32
1-5 Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .33
1-6 Relations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .40
1-7 Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .47
Extend: Graphing Technology Lab Representing Functions . . . . . . . . . . . . . . . . . . . . . . 55
1-8 Interpreting Graphs of Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .56
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .62
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .67
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .68
Standardized Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .70
A.SSE.1a, A.SSE.2
A.SSE.1b, A.SSE.2
A.SSE.1b, A.SSE.2
N.Q.3
A.SSE.1a, A.SSE.2
A.CED.1, A.REI.3
A.REI.10, F.IF.1
F.IF.1, F.IF.2
A.CED.2
F.IF.4
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iii iii
Unit 1 | Relationships between Quantities
Self-Check
Practice
pp. 3, 100
Foldables
pp. 4, 74Graphing
Calculator
pp. 55, 118
Virtual
Manipulatives
pp. 27, 90
Linear EquationsLinear EquationsLinear Equations
Get Ready for Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
2-1 Writing Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .75
Explore: Algebra Lab Solving Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
2-2 Solving One-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .83
Explore: Algebra Lab Solving Multi-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
2-3 Solving Multi-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .91
2-4 Solving Equations with the Variable on Each Side . . . . . . . . . . . . . . . . . . . . . .97
2-5 Solving Equations Involving Absolute Value . . . . . . . . . . . . . . . . . . . . . . . . . .103
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .110
2-6 Ratios and Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .111
Extend: Spreadsheet Lab Descriptive Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
2-7 Percent of Change . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .119
Extend: Algebra Lab Percentiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
2-8 Literal Equations and Dimensional Analysis. . . . . . . . . . . . . . . . . . . . . . . . . .126
2-9 Weighted Averages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .132
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .139
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .145
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .146
Standardized Test Practice, Chapters 1–2 . . . . . . . . . . . . . . . . . . . . . . . . . .148
A.CED.1
A.REI.3
A.REI.1, A.REI.3
A.REI.3
A.REI.1, A.REI.3
A.REI.1, A.REI.3
A.REI.1, A.REI.3
A.REI.1, A.REI.3
N.Q.2
N.Q.1, A.REI.3
A.CED.4, A.REI.3
A.REI.1, A.REI.3
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Unit 2 | Linear Relationships
Personal Tutor
pp. 158, 248Multilingual
eGlossary
pp. 152, 214
Vocabulary
pp. 152, 272Animation
pp. 150, 248
Linear FunctionsLinear FunctionsLinear Functions
Get Ready for Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151
Explore: Algebra Lab Analyzing Linear Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153
3-1 Graphing Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .155
3-2 Solving Linear Equations by Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .163
Extend: Graphing Technology Lab Graphing Linear Functions . . . . . . . . . . . . . . . . . . . 169
Explore: Algebra Lab Rate of Change of a Linear Function . . . . . . . . . . . . . . . . . . . . . 171
3-3 Rate of Change and Slope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .172
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .181
3-4 Direct Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .182
3-5 Arithmetic Sequences as Linear Functions. . . . . . . . . . . . . . . . . . . . . . . . . . .189
Extend: Algebra Lab Inductive and Deductive Reasoning . . . . . . . . . . . . . . . . . . . . . . 196
3-6 Proportional and Nonproportional Relationships . . . . . . . . . . . . . . . . . . . . . .197
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .203
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .207
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .208
Standardized Test Practice, Chapters 1–3 . . . . . . . . . . . . . . . . . . . . . . . . . .210
F.IF.4
F.IF.4, F.IF.7a
A.REI.10, F.IF.7a
N.Q.1, F.IF.7a
F.IF.6, F.LE.1a
F.IF.6, F.LE.1a
A.REI.10, F.IF.7a
F.BF.2, F.LE.2
F.LE.1b, F.LE.2
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Unit 2 | Linear Relationships
Self-Check
Practice
pp. 207, 213
Foldables
pp. 152, 214Graphing
Calculator
pp. 169, 215
Virtual
Manipulatives
pp. 158, 248
Equations ofEquations ofLinear FunctionsLinear FunctionsEquations of Linear Functions
Get Ready for Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213
Explore: Graphing Technology Lab Investigating Slope-Intercept Form . . . . . . . . . . . . 215
4-1 Graphing Equations in Slope-Intercept Form . . . . . . . . . . . . . . . . . . . . . . . . .216
Extend: Graphing Technology Lab The Family of Linear Graphs. . . . . . . . . . . . . . . . . . 224
4-2 Writing Equations in Slope-Intercept Form. . . . . . . . . . . . . . . . . . . . . . . . . . .226
4-3 Writing Equations in Point-Slope Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .233
4-4 Parallel and Perpendicular Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .239
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .246
4-5 Scatter Plots and Lines of Fit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .247
Extend: Algebra Lab Correlation and Causation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 254
4-6 Regression and Median-Fit Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .255
4-7 Inverse Linear Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .263
Extend: Algebra Lab Drawing Inverses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 271
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .272
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .277
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .278
Standardized Test Practice, Chapters 1–4 . . . . . . . . . . . . . . . . . . . . . . . . . .280
F.IF.7a, S.ID.7
F.BF.3, S.ID.7
F.BF.1, F.LE.2
F.IF.2, F.LE.2
F.LE.2, S.ID.7
S.ID.6a, S.ID.6c
S.ID.9
S.ID.6, S.ID.8
A.CED.2, F.BF.4a
F.BF.4a
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Unit 2 | Linear Relationships
Personal Tutor
pp. 293, 342Multilingual
eGlossary
pp. 284 334
Vocabulary
pp. 284, 378Animation
pp. 291, 332
Linear InequalitiesLinear InequalitiesLinear Inequalities
Get Ready for Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283
5-1 Solving Inequalities by Addition and Subtraction. . . . . . . . . . . . . . . . . . . . . .285
Explore: Algebra Lab Solving Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291
5-2 Solving Inequalities by Multiplication and Division . . . . . . . . . . . . . . . . . . . .292
5-3 Solving Multi-Step Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .298
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .304
Explore: Algebra Lab Reading Compound Statements . . . . . . . . . . . . . . . . . . . . . . . . 305
5-4 Solving Compound Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .306
5-5 Inequalities Involving Absolute Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .312
5-6 Graphing Inequalities in Two Variables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .317
Extend: Graphing Technology Lab Graphing Inequalities . . . . . . . . . . . . . . . . . . . . . . . 323
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .324
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .327
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .328
Standardized Test Practice, Chapters 1–5 . . . . . . . . . . . . . . . . . . . . . . . . . .330
A.CED.1, A.REI.3
A.REI.3
A.CED.1, A.REI.3
A.CED.1, A.REI.3
A.CED.1, A.REI.3
A.CED.1, A.REI.3
A.CED.3, A.REI.12
A.REI.12
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Unit 2 | Linear Relationships
Self-Check
Practice
pp. 300, 383
Foldables
pp. 284, 334Graphing
Calculator
pp. 323, 342
Virtual
Manipulatives
pp. 291, 336
Systems of LinearSystems of LinearEquations and InequalitiesEquations and InequalitiesSystems of LinearEquations and Inequalities
Get Ready for Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 333
6-1 Graphing Systems of Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .335
Extend: Graphing Technology Lab Systems of Equations. . . . . . . . . . . . . . . . . . . . . . . 342
6-2 Substitution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .344
6-3 Elimination Using Addition and Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . .350
6-4 Elimination Using Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .357
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .363
6-5 Applying Systems of Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .364
Extend: Algebra Lab Using Matrices to Solve Systems of Equations . . . . . . . . . . . . . . 370
6-6 Systems of Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .372
Extend: Graphing Technology Lab Systems of Inequalities . . . . . . . . . . . . . . . . . . . . . 377
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .378
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .383
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .384
Standardized Test Practice, Chapters 1–6 . . . . . . . . . . . . . . . . . . . . . . . . . .386
A.CED.3, A.REI.6
A.REI.6, A.REI.11
A.CED.3, A.REI.6
A.CED.2, A.REI.6
A.REI.5, A.REI.6
A.REI.6
A.REI.6
A.REI.12
A.REI.12
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Unit 3 | Exponential and Quadratic Relationships
Personal Tutor
pp. 406,473Multilingual
eGlossary
pp. 390, 462
Vocabulary
pp. 390, 530Animation
pp. 398, 481
Exponents and Exponents and Exponential FunctionsExponential FunctionsExponents and Exponential Functions
Get Ready for Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389
7-1 Multiplication Properties of Exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .391
7-2 Division Properties of Exponents. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .398
7-3 Rational Exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .406
7-4 Scientific Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .414
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .421
Explore: Graphing Technology Lab Family of Exponential Functions . . . . . . . . . . . . . . 422
7-5 Exponential Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .424
Extend: Graphing Technology Lab Solving Exponential Equations and Inequalities . . . 430
7-6 Growth and Decay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .432
Extend: Algebra Lab Transforming Exponential Expressions . . . . . . . . . . . . . . . . . . . . 437
7-7 Geometric Sequences as Exponential Functions . . . . . . . . . . . . . . . . . . . . . .438
Extend: Algebra Lab Average Rate of Change of Exponential Functions . . . . . . . . . . . 444
7-8 Recursive Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .445
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .451
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .455
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .456
Standardized Test Practice, Chapters 1–7 . . . . . . . . . . . . . . . . . . . . . . . . . .458
A.SSE.2, F.IF.8b
A.SSE.2, F.IF.8b
N.RN.1, N.RN.2
A.SSE.2
F.IF.7e, F.BF.3
F.IF.7e, F.LE.2
A.REI.11
F.IF.8b, F.LE.2
A.SSE.3c, F.IF.8b
F.BF.2, F.LE.1
F.IF.6
F.IF.3, F.BF.2
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Unit 3 | Exponential and Quadratic Relationships
Self-Check
Practice
pp. 389, 518
Foldables
pp. 390, 462Virtual
Manipulatives
pp. 424, 480
Quadratic Expressions Quadratic Expressions and Equationsand EquationsQuadratic Expressions and Equations
Get Ready for Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 461
Explore: Algebra Lab Adding and Subtracting Polynomials . . . . . . . . . . . . . . . . . . . . . 463
8-1 Adding and Subtracting Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .465
8-2 Multiplying a Polynomial by a Monomial . . . . . . . . . . . . . . . . . . . . . . . . . . . .472
Explore: Algebra Lab Multiplying Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 478
8-3 Multiplying Polynomials. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .480
8-4 Special Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .486
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .492
Explore: Algebra Lab Factoring Using the Distributive Property . . . . . . . . . . . . . . . . . . 493
8-5 Using the Distributive Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .494
Explore: Algebra Lab Factoring Trinomials. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 501
8-6 Solving x2 + bx + c = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .503
8-7 Solving ax2 + bx + c = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .510
8-8 Differences of Squares. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .516
8-9 Perfect Squares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .522
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .530
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .535
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .536
Standardized Test Practice, Chapters 1–8 . . . . . . . . . . . . . . . . . . . . . . . . . .538
A.APR.1
A.SSE.1a, A.APR.1
A.APR.1
A.APR.1
A.APR.1
A.APR.1
A.SSE.2
A.SSE.2, A.SSE.3a
A.SSE.2
A.SSE.3a, A.REI.4b
A.SSE.3a, A.REI.4b
A.SSE.3a, A.REI.4b
A.SSE.3a, A.REI.1
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Your Digital Math PortalconnectED.mcgraw-hill.comccccc
Unit 3 | Exponential and Quadratic Relationships
Personal Tutor
pp. 572, 627 Multilingual
eGlossary
pp. 524, 618
Vocabulary
pp. 524, 663Animation
pp. 574, 655
Quadratic Functions and Quadratic Functions and EquationsEquationsQuadratic Functions and Equations
Get Ready for Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 541
9-1 Graphing Quadratic Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .543
Extend: Algebra Lab Rate of Change of a Quadratic Function . . . . . . . . . . . . . . . . . . . 554
9-2 Solving Quadratic Equations by Graphing. . . . . . . . . . . . . . . . . . . . . . . . . . . .555
Extend: Graphing Technology Lab Quadratic Inequalities . . . . . . . . . . . . . . . . . . . . . . 561
Explore: Graphing Technology Lab Family of Quadratic Functions . . . . . . . . . . . . . . . . 562
9-3 Transformations of Quadratic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . .564
Extend: Graphing Technology Lab Systems of Linear and Quadratic Equations . . . . . . 572
9-4 Solving Quadratic Equations by Completing the Square . . . . . . . . . . . . . . . .574
Extend: Algebra Lab Finding the Maximum or Minimum Value . . . . . . . . . . . . . . . . . . 580
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .582
9-5 Solving Quadratic Equations by Using the Quadratic Formula. . . . . . . . . . . .583
9-6 Analyzing Functions with Successive Differences . . . . . . . . . . . . . . . . . . . . .590
Extend: Graphing Technology Lab Curve Fitting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 596
9-7 Special Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .598
Extend: Graphing Technology Lab Piecewise-Linear Functions . . . . . . . . . . . . . . . . . . 606
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .607
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .611
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .612
Standardized Test Practice, Chapters 1–9 . . . . . . . . . . . . . . . . . . . . . . . . . .614
F.IF.4, F.IF.7a
F.IF.6
A.REI.4b, F.IF.7a
F.IF.7a, F.BF.3
A.SSE.3b, F.IF.7a
A.REI.7, F.IF.7a
A.REI.4, F.IF.8a
A.SSE.3b, F.IF.8a
A.REI.4
F.IF.6, F.LE.1
F.LE.2, S.ID.6a
F.IF.4, F.IF.7b
F.IF.7b
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Unit 4 | Advanced Functions and Equations
Self-Check
Practice
pp. 611, 617
Foldables
pp. 542, 618Graphing
Calculator
pp. 572, 627
Virtual
Manipulatives
pp. 548, 649
Radical Functions Radical Functions and Geometryand GeometryRadical Functions and Geometry
Get Ready for Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 617
Explore: Algebra Lab Inverse Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 619
10-1 Square Root Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .621
Extend: Graphing Technology Lab Graphing Square Root Functions . . . . . . . . . . . . 627
10-2 Simplifying Radical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .628
Extend: Algebra Lab Rational and Irrational Numbers . . . . . . . . . . . . . . . . . . . . . . . 634
10-3 Operations with Radical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . .635
Extend: Algebra Lab Simplifying nth Root Expressions . . . . . . . . . . . . . . . . . . . . . . 640
10-4 Radical Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .642
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .647
10-5 The Pythagorean Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .648
Extend: Algebra Lab Distance on the Coordinate Plane. . . . . . . . . . . . . . . . . . . . . . 654
Explore: Algebra Lab Investigating Trigonometric Ratios . . . . . . . . . . . . . . . . . . . . . 655
10-6 Trigonometric Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .656
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .663
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .667
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .668
Standardized Test Practice, Chapters 1–10 . . . . . . . . . . . . . . . . . . . . . . .670
F.BF.4a
F.IF.4, F.IF.7b
F.IF.7b
A.REI.4a
N.RN.3
N.RN.2
N.RN.2
N.RN.2, A.CED.2
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Your Digital Math PortalconnectED.mcgraw-hill.comccccc
Unit 4 | Advanced Functions and Equations
Personal Tutor
pp. 697, 748Multilingual
eGlossary
pp. 674, 746
Vocabulary
pp. 674, 746Animation
pp. 672, 793
Rational Functions Rational Functions and Equationsand EquationsRational Functions and Equations
Get Ready for Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 673
Explore: Graphing Technology Lab Inverse Variation . . . . . . . . . . . . . . . . . . . . . . . . 675
11-1 Inverse Variation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .676
Explore: Graphing Technology Lab Family of Rational Functions . . . . . . . . . . . . . . 683
11-2 Rational Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .684
11-3 Simplifying Rational Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .690
Extend: Graphing Technology Lab Simplifying Rational Expressions . . . . . . . . . . . . 697
11-4 Multiplying and Dividing Rational Expressions . . . . . . . . . . . . . . . . . . . . . .698
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .705
11-5 Dividing Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .706
11-6 Adding and Subtracting Rational Expressions . . . . . . . . . . . . . . . . . . . . . .712
11-7 Mixed Expressions and Complex Fractions. . . . . . . . . . . . . . . . . . . . . . . . .720
11-8 Rational Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .726
Extend: Graphing Technology Lab Solving Rational Equations . . . . . . . . . . . . . . . . . 733
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .735
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .739
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .740
Standardized Test Practice, Chapters 1–11 . . . . . . . . . . . . . . . . . . . . . . .742
A.CED.2
A.CED.2
A.REI.11
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Unit 5 | Data Analysis
Self-Check
Practice
pp. 679, 751
Foldables
pp. 674, 746Graphing
Calculator
pp. 697, 810
Virtual
Manipulatives
pp. 686, 764
Statistics and Statistics and ProbabilityProbabilityStatistics and Probability
Get Ready for Chapter 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 745
12-1 Samples and Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .747
Extend: Algebra Lab Evaluating Published Data . . . . . . . . . . . . . . . . . . . . . . . . . . . 755
12-2 Statistics and Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .757
12-3 Distributions of Data. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .764
12-4 Comparing Sets of Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .771
Mid-Chapter Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .779
12-5 Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .780
12-6 Permutations and Combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .786
12-7 Probability of Compound Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .793
Extend: Algebra Lab Two-Way Frequency Tables . . . . . . . . . . . . . . . . . . . . . . . . . 801
12-8 Probability Distributions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .803
Extend: Graphing Technology Lab The Normal Curve . . . . . . . . . . . . . . . . . . . . . . . 810
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .812
Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .817
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .818
Standardized Test Practice, Chapters 1–12 . . . . . . . . . . . . . . . . . . . . . . .820
S.ID.2
S.ID.2, S.ID.3
S.ID.2, S.ID.3
S.ID.5
S.ID.2
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Student HandbookStudent Handbook
Built-In Workbooks
Extra Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . R1
Reference
Selected Answers and Solutions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .R13
Glossary/Glosario . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .R97
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .R118
Formulas and Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Inside Back Cover
Symbols and Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Inside Back Cover
Rubberball/Getty Images
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