Pearson Algebra 2 Common Core, 2013
Answers, hints and solutions to all chapter exercises
Chapter
Entry-Level Assessment
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Chapter 1
Expressions, Equations, and Inequalities
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- Get Ready! p.1
- 1. Patterns and Expressions p.4-10
- 2. Properties of Real Numbers p.12-17
- 3. Algebraic Expressions p.18-24
- Mid-Chapter Quiz p.25
- 4. Solving Equations p.27-32
- 5. Solving Inequalities p.34-40
- 6. Absolute Value Equations and Inequalities p.42-48
- Pull It All Together arrow_forward
- Chapter Review p.50-52
- Chapter Test p.53
- Common Core Cumulative Standards Review p.54-56
Chapter 2
Functions, Equations, and Graphs
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- Get Ready! p.57
- Concept Byte: Piecewise Functions p.91
- 5. Using Linear Models p.93-95
- 6. Families of Functions p.100-103
- 8. Two-Variable Inequalities p.115-117
Chapter 2
Function, Equations, and Graphs
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- 1. Relations and Functions p.61-67
- 2. Direct Variation p.69-73
- 3. Linear Functions and Slope-Intercept Form p.75-80
- 4. More About Linear Equations p.82-88
- Mid-Chapter Quiz p.89
- 5. Using Linear Models p.96-98
- 6. Families of Functions p.103-106
- 7. Absolute Value Functions and Graphs p.108-113
- 8. Two-Variable Inequalities p.118-120
- Chapter Review p.122-126
- Chapter Test p.127
- Common Core Cumulative Standards Review p.128-130
Chapter 3
Linear Systems
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- Get Ready! p.131
- 1. Solving Systems Using Tables and Graphs p.134-141
- 2. Solving Systems Algebraically p.143-148
- 3. Systems of Inequalities p.150-155
- Mid-Chapter Quiz p.156
- 4. Linear Programming p.158-162
- Concept Byte: Linear Programming p.163-165
- 5. Systems With Three Variables p.167-173
- 6. Solving Systems Using Matrices p.175-181
- Chapter Review p.183-186
- Chapter Test p.187
- Common Core Cumulative Standards Review p.188-190
Chapter 4
Quadratic Functions and Equations
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- Get Ready! p.191
- 1. Quadratic Functions and Transformations p.195-201
- 2. Standard Form of a Quadratic Function p.203-208
- 3. Modeling With Quadratic Functions p.209-214
- Concept Byte: Identifying Quadratic Data p.215
- 4. Factoring Quadratic Expressions p.217-223
- Mid-Chapter Quiz p.224
- Algebra Review: Square Roots and Radicals p.225
- 5. Quadratic Equations p.227-231
- Concept Byte: Writing Equations From Roots p.232
- 6. Completing the Square p.233-239
- 7. The Quadratic Formula p.241-247
- 8. Complex Numbers p.249-255
- Concept Byte: Quadratic Inequalities p.256-257
- 9. Quadratic Systems p.259-264
- Concept Byte: Powers of Complex Numbers p.265
- Chapter Review p.267-272
- Chapter Test p.273
- Common Core Cumulative Standards Review p.274-276
Chapter 5
Polynomials and Polynomial Functions
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- Get Ready! p.277
- 1. Polynomial Functions p.281-287
- 2. Polynomials, Linear Factors, and Zeros p.288-295
- 3. Solving Polynomial Equations p.297-302
- 4. Dividing Polynomials p.304-310
- Mid-Chapter Quiz p.311
- 5. Theorems About Roots of Polynomial Equations p.313-317
- Concept Byte: Using Polynomial Identities p.318
- 6. The Fundamental Theorem of Algebra p.320-324
- Concept Byte: Graphing Polynomials Using Zeros p.325
- 7. The Binomial Theorem p.327-330
- 8. Polynomial Models in the Real World p.335-338
- 9. Transforming Polynomial Functions p.340-345
- Chapter Review p.347-352
- Chapter Test p.353
- Common Core Cumulative Standards Review p.354-356
Chapter 6
Radical Functions and Rational Exponents
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- Get Ready! p.357
- Concept Byte: Properties of Exponents p.360
- 1. Roots and Radical Expressions p.362-366
- 2. Multiplying and Dividing Radical Expressions p.368-373
- 3. Binomial Radical Expressions p.375-380
- 4. Rational Exponents p.382-388
- Mid-Chapter Quiz p.389
- 5. Solving Square Root and Other Radical Equations p.391-397
- 6. Function Operations p.399-404
- 7. Inverse Relations and Functions p.406-412
- Concept Byte: Graphing Inverses p.413
- 8. Graphing Radical Functions p.415-420
- Chapter Review p.422-426
- Chapter Test p.427
- Common Core Cumulative Standards Review p.428-430
Chapter 7
Exponential and Logarithmic Functions
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- Get Ready! p.431
- 1. Exploring Exponential Models p.435-441
- 2. Properties of Exponential Functions p.443-450
- 3. Logarithmic Functions as Inverses p.452-458
- Concept Byte: Fitting Curves to Data p.459-460
- Mid-Chapter Quiz p.461
- 4. Properties of Logarithms p.463-468
- 5. Exponential and Logarithmic Equations p.469-476
- Concept Byte: Using Logarithms for Exponential Models p.477
- 6. Natural Logarithms p.479-483
- Concept Byte: Exponential and Logarithmic Inequalities p.484-485
- Pull It All Together arrow_forward
- Chapter Review p.487-490
- Chapter Test p.491
- Common Core Cumulative Standards Review p.492-494
Chapter 8
Rational Functions
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- Get Ready! p.495
- 1. Inverse Variation p.499-505
- Concept Byte: Graphing Rational Functions p.506
- 2. The Reciprocal Function Family p.508-514
- 3. Rational Functions and Their Graphs p.517-523
- Concept Byte: Oblique Asymptotes p.525
- Mid-Chapter Quiz p.526
- 4. Rational Expressions p.528-533
- 5. Adding and Subtracting Rational Expressions p.535-541
- 6. Solving Rational Equations p.543-548
- Concept Byte: Systems With Rational Equations p.549
- Concept Byte: Rational Inequalities p.550-551
- Pull It All Together arrow_forward
- Chapter Review p.553-556
- Chapter Test p.557
- Common Core Cumulative Standards Review p.558-560
Chapter 9
Sequences and Series
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- Get Ready! p.561
- 1. Mathematical Patterns p.565-571
- 2. Arithmetic Sequences p.573-577
- Concept Byte: The Fibonacci Sequence p.578
- Mid-Chapter Quiz p.579
- 3. Geometric Sequences p.581-586
- 4. Arithmetic Series p.588-593
- Concept Byte: Geometry and Infinite Series p.594
- 5. Geometric Series p.596-601
- Pull It All Together p.602
- Chapter Review p.603-606
- Chapter Test p.607
- Common Core Cumulative Standards Review p.608-610
Chapter 10
Quadratic Relations and Conic Sections
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- Get Ready! p.611
- 1. Exploring Conic Sections p.615-620
- Concept Byte: Graphing Conic Sections p.621
- 2. Parabolas p.624-629
- 3. Circles p.631-636
- Mid-Chapter Quiz p.637
- 4. Ellipses p.639-644
- 5. Hyperbolas p.647-652
- 6. Translating Conic Sections p.654-660
- Concept Byte: Solving Quadratic Systems p.661
- Pull It All Together p.662
- Chapter Review p.663-666
- Chapter Test p.667
- Common Core Cumulative Standards Review p.668-670
Chapter 11
Probability and Statistics
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- Get Ready! p.671
- 1. Permutations and Combinations p.675-680
- 2. Probability p.681-687
- 3. Probability of Multiple Events p.688-693
- Concept Byte: Probability Distributions p.694-695
- 4. Conditional Probability p.697-702
- 5. Probability Models p.704-709
- Mid-Chapter Quiz p.710
- 6. Analyzing Data p.712-718
- 7. Standard Deviation p.720-724
- 8. Samples and Surveys p.726-730
- 9. Binomial Distributions p.733-738
- 10. Normal Distributions p.740-745
- Concept Byte: Margin of Error p.746-747
- Concept Byte: Drawing Conclusions from Samples p.748-749
- Pull It All Together p.750
- Chapter Review p.751-756
- Chapter Test p.757
- Common Core Cumulative Standards Review p.758-760
Chapter 12
Matrices
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- Get Ready! p.761
- 1. Adding and Subtracting Matrices p.765-770
- Concept Byte: Working with Matrices p.771
- 2. Matrix Multiplication p.773-779
- Concept Byte: Networks p.781
- 3. Determinants and Inverses p.783-790
- Mid-Chapter Quiz p.791
- 4. Inverse Matrices and Systems p.793-800
- 5. Geometric Transformations p.802-808
- 6. Vectors p.810-815
- Pull It All Together p.816
- Chapter Review p.817-820
- Chapter Test p.821
- Common Core Cumulative Standards Review p.822-824
Chapter 13
Periodic Functions and Trigonometry
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- Get Ready! p.825
- 1. Exploring Periodic Data p.829-834
- Geometry Review: Special Right Triangles p.835
- 2. Angles and the Unit Circle p.837-842
- Concept Byte: Measuring Radians p.843
- 3. Radian Measure p.845-850
- 4. The Sine Function p.852-858
- Mid-Chapter Quiz p.859
- Concept Byte: Graphing Trigonometric Functions p.860
- 5. The Cosine Function p.862-867
- 6. The Tangent Function p.869-874
- 7. Translating Sine and Cosine Functions p.876-882
- 8. Reciprocal Trigonometric Functions p.884-890
- Pull It All Together p.891
- Chapter Review p.892-896
- Chapter Test p.897
- Common Core Cumulative Standards Review p.898-900
Chapter 14
Trigonometric Identities and Equations
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- Get Ready! p.901
- 1. Trigonometric Identities p.905-910
- 2. Solving Trigonometric Equations Using Inverses p.913-918
- 3. Right Triangles and Trigonometric Ratios p.920-926
- Mid-Chapter Quiz p.927
- 4. Area and the Law of Sines p.929-934
- Concept Byte: The Ambigous Case p.935
- 5. The Law of Cosines p.937-942
- 6. Angle Identities p.944-950
- 7. Double-Angle and Half-Angle Identities p.952-957
- Pull It All Together p.958
- Chapter Review p.959-962
- Chapter Test p.963
Chapter
Common Core End-of-Course Assessment
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- Assessment p.964-971
Chapter
Skills Handbook
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- Percents and Percent Applications p.972
- Operations With Fractions p.973
- Ratios and Proportions p.974
- Simplifying Expressions With Integers p.975
- Area and Volume p.976
- The Coordinate Plane, Slope, and Midpoint p.977
- Operations With Exponents p.978
- Factoring and Operations With Polynomials p.979
- Scientific Notation and Significant Digits p.980
- The Pythagorean Theorem and the Distance Formula p.981
- Bar and Circle Graphs p.982
- Descriptive Statistics and Histograms p.983
- Operations With Rational Expressions p.984
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