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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Answers, hints and solutions to all chapter exercises

Chapter 0 ## Preparing for Advanced Algebra

- Pretest
*arrow_forward* - 1. Representing Functions
*arrow_forward* - 2. FOIL
*arrow_forward* - 3. Factoring Polynomials
*arrow_forward* - 4. Counting Techniques
*arrow_forward* - 5. Adding Probabilities
*arrow_forward* - 6. Multiplying Probabilities
*arrow_forward* - 7. Congruent and Similar Figures
*arrow_forward* - 8. The Pythagorean Theorem
*arrow_forward* - 9. Measures of Center, Spread, and Position
*arrow_forward* - Posttest
*arrow_forward*

Chapter 1 ## Equations and Inequalities

- Get Ready for the Chapter p.3
- 1. Expressions and Formulas p.7-10
- 2. Properties of Real Numbers p.14-17
- 3. Solving Equations p.22-25
- Mid-Chapter Quiz p.26
- 4. Solving Absolute Value Equations p.30-32
- 5. Solving Inequalities p.36-39
- 6. Explore: Algebra Lab, Interval Notation p.40
- 6. Solving Compound and Absolute Value Inequalities p.45-48
- Study Guide and Review p.49-52
- Practice Test p.53
- Preparing for Standardized Tests p.55
- Standardized Test Practice p.56-57

Chapter 2 ## Linear Relations and Functions

- Get Ready for the Chapter p.59
- 1. Relations and Functions p.64-67
- 1. Extend: Algebra Lab, Discrete and Continuous Functions
*arrow_forward* - 2. Linear Relations and Functions p.71-74
- 2. Extend: Algebra Lab, Roots of Equations and Zeros of Functions
*arrow_forward* - 3. Rate of Change and Slope p.79-82
- 4. Writing Linear Equations p.86-89
- 4. Extend: Graphing Technology Lab, Direct Variation
*arrow_forward* - Mid-Chapter Quiz p.91
- 5. Scatter Plots and Lines of Regression p.95-98
- 5. Extend: Algebra Lab, Correlation and Causation
*arrow_forward* - 6. Special Functions p.104-107
- 7. Explore: Graphing Technology Lab, Families of Lines
*arrow_forward* - 7. Parent Functions and Transformations p.113-116
- 8. Graphing Linear and Absolute Value Inequalities p.119-121
- Study Guide and Review p.122-126
- Practice Test p.127
- Preparing for Standardized Tests p.129
- Standardized Test Practice p.130-131

Chapter 3 ## Systems of Equations and Inequalities

- Get Ready for the Chapter p.133
- 1. Explore: Graphing Technology Lab, Intersections of Graphs
*arrow_forward* - 1. Solving Systems of Equations p.141-145
- 2. Solving Systems of Inequalities by Graphing p.149-152
- 2. Extend: Graphing Technology Lab, Systems of Linear Inequalities
*arrow_forward* - 3. Optimization with Linear Programming p.157-160
- 4. Systems of Equations in Three Variables p.165-167
- Mid-Chapter Quiz p.168
- 1. Explore: Spreadsheet Lab, Organizing Data with Matrices
*arrow_forward* - 5. Operations with Matrices p.175-178
- 6. Multiplying Matrices p.183-186
- 6. Extend: Graphing Technology Lab, Operations with Matrices
*arrow_forward* - 7. Solving Systems of Equations Using Cramer's Rule p.194-197
- 8. Solving Systems of Equations Using Inverse Matrices p.202-204
- 8. Extend: Graphing Technology Lab, Augmented Matrices
*arrow_forward* - Study Guide and Review p.206-210
- Practice Test p.211
- Preparing for Standardized Tests p.213
- Standardized Test Practice p.214-215

Chapter 4 ## Quadratic Functions and Relations

- Get Ready for the Chapter p.217
- 1. Graphing Quadratic Functions p.224-227
- 1. Extend: Graphing Technology Lab, Modeling Real-World Data
*arrow_forward* - 2. Solving Quadratic Equations by Graphing p.233-236
- 2. Extend: Graphing Technology Lab, Solving Quadratic Equations by Graphing
*arrow_forward* - 3. Solving Quadratic Equations by Factoring p.242-245
- 4. Complex Numbers p.250-252
- 4. Extend: Algebra Lab, The Complex Plane p.254
- Mid-Chapter Quiz p.255
- 5. Completing the Square p.260-262
- 5. Extend: Graphing Technology Lab, Solving Quadratic Equations
*arrow_forward* - 6. The Quadratic Formula and the Discriminant p.269-272
- 7. Explore: Graphing Technology Lab, Families of Parabolas
*arrow_forward* - 7. Transformations of Quadratic Graphs p.278-280
- 7. Extend: Algebra Lab, Quadratics and Rate of Change
*arrow_forward* - 8. Quadratic Inequalities p.285-288
- 8. Extend: Graphing Technology Lab, Modeling Motion
*arrow_forward* - Study Guide and Review p.290-294
- Practice Test p.295
- Preparing for Standardized Tests p.297
- Standardized Test Practice p.298-299

Chapter 5 ## Polynomials and Polynomial Functions

- QuickCheck p.301
- 1. Operations with Polynomials p.307-309
- 1. Extend: Algebra Lab, Dimensional Analysis p.310
- 2. Dividing Polynomials p.315-317
- 2. Extend: Graphing Technology Lab, Dividing Polynomials
*arrow_forward* - Explore: Graphing Technology Lab, Power Functions
*arrow_forward* - 3. Polynomial Functions p.326-329
- 4. Analyzing Graphs of Polynomial Functions p.334-337
- 4. Extend: Graphing Technology Lab, Modeling Data Using Polynomial Functions
*arrow_forward* - Mid-Chapter Quiz p.340
- 5. Explore: Graphing Technology Lab, Solving Polynomial Equations by Graphing
*arrow_forward* - 5. Solving Polynomial Equations p.346-349
- 5. Extend: Graphing Technology Lab, Polynomial Identities
*arrow_forward* - 6. The Remainder and Factor Theorems p.355-357
- 7. Roots and Zeros p.363-365
- 7. Extend: Graphing Technology Lab, Analyzing Polynomial Functions
*arrow_forward* - 8. Rational Zero Theorem p.369-372
- Study Guide and Review p.373-376
- Practice Test p.377
- Preparing for Standardized Tests p.379
- Standardized Test Practice p.380-381

Chapter 6 ## Inverses and Radical Functions and Relations

- Get Ready for the Chapter p.383
- 1. Operations on Functions p.389-392
- 2. Inverse Functions and Relations p.396-398
- 2. Extend: Graphing Technology Lab, Inverse Functions and Relations
*arrow_forward* - 3. Square Root Functions and Inequalities p.403-406
- 4. nth Roots p.409-412
- 4. Extend: Graphing Technology Lab, Graphing nth Root Functions
*arrow_forward* - Mid-Chapter Quiz p.414
- 5. Operations with Radical Expressions p.419-421
- 6. Rational Exponents p.425-428
- 7. Solving Radical Equations and Inequalities p.432-435
- 7. Extend: Graphing Technology Lab, Solving Radical Equations and Inequalities
*arrow_forward* - Study Guide and Review p.438-442
- Practice Test p.443
- Preparing for Standardized Tests p.445
- Standardized Test Practice p.446-447

Chapter 7 ## Exponential and Logarithmic Functions and Relations

- Get Ready for the Chapter p.449
- 1. Graphing Exponential Functions p.455-458
- 2. Explore: Graphing Technology Lab, Solving Exponential Equations and Inequalities
*arrow_forward* - 2. Solving Exponential Equations and Inequalities p.464-467
- 3. Logarithms and Logarithmic Functions p.472-475
- 3. Extend: Graphing Technology Lab, Chossing the Best Model
*arrow_forward* - 4. Solving Logarithmic Equations and Inequalities p.480-483
- Mid-Chapter Quiz p.484
- 5. Properties of Logarithms p.488-491
- 6. Common Logarithms p.495-498
- 6. Extend: Graphing Technology Lab, Solving Logarithmic Equations and Inequalities
*arrow_forward* - 7. Base e and Natural Logarithms p.505-507
- 2. Explore: Spreadsheet Lab, Compound Interest
*arrow_forward* - 8. Using Exponential and Logarithmic Functions p.513-515
- 8. Extend: Graphing Technology Lab, Cooling
*arrow_forward* - Study Guide and Review p.517-520
- Practice Test p.521
- Preparing for Standardized Tests p.523
- Standardized Test Practice p.524-525

Chapter 8 ## Rational Functions and Relations

- Get Ready for the Chapter p.527
- 1. Multiplying and Dividing Rational Expressions p.533-537
- 2. Adding and Subtracting Rational Expressions p.541-544
- 3. Graphing Reciprocal Functions p.548-551
- Mid-Chapter Quiz p.552
- 4. Graphing Rational Functions p.557-560
- 4. Extend: Graphing Technology Lab, Graphing Rational Functions
*arrow_forward* - 5. Variation Functions p.566-569
- 6. Solving Rational Equations and Inequalities p.576-578
- 6. Extend: Graphing Technology Lab, Solving Rational Equations and Inequalities
*arrow_forward* - Study Guide and Review p.581-584
- Practice Test p.585
- Preparing for Standardized Tests p.587
- Standardized Test Practice p.588-589

Chapter 9 ## Conic Sections

- Get Ready for the Chapter p.591
- 1. Midpoint and Distance Formula p.595-598
- 2. Parabolas p.603-605
- 3. Explore: Graphing Technology Lab, Equations of Circles
*arrow_forward* - 3. Circles p.610-613
- 3. Explore: Algebra Lab, Investigating Ellipses
*arrow_forward* - 4. Ellipses p.619-622
- Mid-Chapter Quiz p.623
- 5. Hyperbolas p.628-631
- 6. Identifying Conic Sections p.634-636
- 6. Extend: Graphing Technology Lab, Analyzing Quadratic Relations
*arrow_forward* - 3. Explore: Graphing Technology Lab, Linear-Nonlinear Systems
*arrow_forward* - 7. Solving Linear-Nonlinear Systems p.642-645
- Study Guide and Review p.646-650
- Practice Test p.651
- Preparing for Standardized Tests p.653
- Standardized Test Practice p.654-655

Chapter 10 ## Sequences and Series

- Get Ready for the Chapter p.657
- 1. Sequences as Functions p.663-665
- 2. Arithmetic Sequences and Series p.670-673
- 3. Geometric Sequences and Series p.677-680
- 4. Explore: Algebra Lab, Area Under a Curve
*arrow_forward* - 4. Infinite Geometric Series p.686-689
- 4. Extend: Graphing Technology Lab, Limits
*arrow_forward* - Mid-Chapter Quiz p.691
- 5. Recursion and Iteration p.695-697
- 5. Extend: Spreadsheet Lab, Amortizing Loans
*arrow_forward* - 6. The Binomial Theorem p.701-703
- 6. Extend: Algebra Lab, Combinations and Pascal's Triangle
*arrow_forward* - 7. Proof by Mathematical Induction p.707-709
- Study Guide and Review p.710-714
- Practice Test p.715
- Preparing for Standardized Tests p.717
- Standardized Test Practice p.718-719

Chapter 11 ## Statistics and Probability

- Get Ready for the Chapter p.721
- 1. Designing a Study p.727-730
- 1. Extend: Graphing Calculator Lab, Simulations and Margin of Error
*arrow_forward* - 2. Distributions of Data p.738-741
- 3. Probability Distributions p.747-750
- Mid-Chapter Quiz p.751
- 4. The Binomial Distribution p.756-759
- 5. The Normal Distribution p.764-766
- 5. Extend: Spreadsheet Lab, Normal Approximation of Binomial Distributions
*arrow_forward* - 6. Confidence Intervals and Hypothesis Testing p.774-776
- Study Guide and Review p.777-780
- Practice Test p.781
- Preparing for Standardized Tests p.783
- Standardized Test Practice p.784-785

Chapter 12 ## Trigonometric Functions

- Get Ready for the Chapter p.787
- 1. Explore: Spreadsheet Lab, Investigating Special Right Triangles
*arrow_forward* - 1. Trigonometric Functions in Right Triangles p.795-798
- 2. Angles and Angle Measure p.802-805
- 2. Extend: Geometry Lab, Areas of Parallelograms
*arrow_forward* - 3. Trigonometric Functions of General Angles p.811-813
- 4. Law of Sines p.818-821
- 4. Extend: Geometry Lab, Regular Polygons
*arrow_forward* - 5. Law of Cosines p.825-828
- Mid-Chapter Quiz p.829
- 6. Circular and Periodic Functions p.833-836
- 7. Graphing Trigonometric Functions p.841-843
- 1. Explore: Graphing Technology Lab, Trigonometric Graphs
*arrow_forward* - 8. Translations of Trigonometric Graphs p.849-852
- 9. Inverse Trigonometric Functions p.856-858
- Study Guide and Review p.859-864
- Practice Test p.865
- Preparing for Standardized Tests p.867
- Standardized Test Practice p.868-869

Chapter 13 ## Trigonometric Identities and Equations

- Get Ready for the Chapter p.871
- 1. Trigonometric Identities p.876-879
- 2. Verifying Trigonometric Identities p.882-885
- 3. Sum and Difference of Angles Identities p.888-891
- Mid-Chapter Quiz p.892
- 4. Double-Angle and Half-Angle Identities p.897-899
- 5. Explore: Graphing Technology Lab, Solving Trigonometric Equations
*arrow_forward* - 5. Solving Trigonometric Equations p.904-907
- Study Guide and Review p.908-910
- Practice Test p.911
- Preparing for Standardized Tests p.913
- Standardized Test Practice p.914-915

Chapter ## Extra Practice

- 1. Equations and Inequalities
*arrow_forward* - 2. Linear Relations and Functions
*arrow_forward* - 3. Systems of Equations and Inequalities
*arrow_forward* - 4. Quadratic Functions and Relations
*arrow_forward* - 5. Polynomials and Polynomial Functions
*arrow_forward* - 6. Inverses and Radical Functions and Relations
*arrow_forward* - 7. Exponential and Logarithmic Functions and Relations
*arrow_forward* - 8. Rational Functions and Relations
*arrow_forward* - 9. Conic Sections
*arrow_forward* - 10. Sequences and Series
*arrow_forward* - 11. Statistics and Probability
*arrow_forward* - 12. Trigonometric Functions
*arrow_forward* - 13. Trigonometric Identities and Equations
*arrow_forward*

- Publisher:McGraw-Hill EducationAuthor:Carter, Cuevas, Day, MalloyISBN:9780076639908ISBN10:0076639908Course:Glencoe - Algebra 2 is a widely used textbook in the United States and follows the Common Core Curriculum. It was published by McGraw Hill in 2012. Using Mathleaks, every student studying with Glencoe Algebra 2 can access highly pedagogical textbook solutions to every exercise in the textbook. The textbook was authored by the math educators Day, Cuevas, Carter and Malloy and has an ISBN of 9780076639908. The chapters include equations and inequalities, linear relations and functions, systems of equations and inequalities, quadratic functions and relations, polynomial and polynomial functions, inverses and radical functions, exponential and logarithmic functions and relations, rational functions, conic sections, sequences and series, statistics and probability, trigonometric functions and trigonometric identities and equations. Mathleak’s solutions are written by math educators and are of the highest quality. Each solution also carries a hint and an answer which makes it easier for students to challenge themselves before reading the solution. This is very different compared to an online graphing calculator, math calculator, or a math solver as it emphasizes learning and not memorizing calculation-steps or formulas. When using Mathleaks, families have access to an affordable digital private tutor in math that is always available to help out with any math homework. This has become increasingly important when schools shut down and student’s time with their teacher is limited.