Common Core Algebra 2
Comprehensive High School Mathematics Practice Questions, Topic Worksheets & Reference Textbooks
Welcome to the Common Core Algebra 2 study portal! Algebra 2 builds upon foundational concepts from Algebra 1 and Geometry under the Common Core State Standards (CCSS). It establishes advanced algebraic fluency indispensable for Pre-Calculus, AP Calculus, SAT Subject Tests, and university STEM majors.
Below you will find our curated collection of 131 topic-specific practice worksheets covering 16 core Algebra 2 units—including complex numbers, systems of equations, matrix operations, logarithmic & exponential functions, polynomial factoring, conic sections, sequences & series, and trigonometry. Use the interactive practice bank and reference textbooks to strengthen your advanced algebraic problem-solving skills.
1. Textbook & Practice (TAS Grade 11 Curriculum)
Access official Holt McDougal Algebra 2 chapter textbooks, section quizzes, chapter tests, and comprehensive semester final exams used for Grade 11 students at The American School (TAS):
| Chapter & Sections | Textbook & Practice |
|---|---|
| Chapter 1: Foundations for Functions | Chapter 1 Textbook |
| 1-1 Sets of Numbers | Section 1.1 |
| 1-2 Properties of Real Numbers | |
| 1-3 Square Roots | Section 1.3 |
| 1-4 Simplifying Algebraic Expressions | Section 1.4 |
| 1-5 Properties of Exponents | Section 1.5 |
| 1-6 Relations and Functions | Section 1.6 |
| 1-7 Function Notation | Section 1.7 |
| 1-8 Exploring Transformations | Section 1.8 |
| 1-9 Introduction to Parent Functions | Section 1.9 |
| Chapter 1 Assessment | Test 1 |
| Chapter 2: Linear Functions | Chapter 2 Textbook |
| 2-1 Solving Linear Equations and Inequalities | Section 2.1 |
| 2-2 Proportional Reasoning | Section 2.2 |
| 2-3 Graphing Linear Functions | Section 2.3 |
| 2-4 Writing Linear Functions | Section 2.4 |
| 2-5 Linear Inequalities in Two Variables | Section 2.5 |
| 2-6 Transforming Linear Functions | |
| 2-7 Curve Fitting with Linear Models | Section 2.7 |
| 2-8 Solving Absolute-Value Equations and Inequalities | Section 2.8 |
| 2-9 Absolute-Value Functions | |
| Chapter 2 Assessment | Test 2 |
| Chapter 3: Linear Systems | Chapter 3 Textbook |
| 3-1 Using Graphs and Tables to Solve Linear Systems | |
| 3-2 Using Algebraic Methods to Solve Linear Systems | |
| 3-3 Solving Systems of Linear Inequalities | |
| 3-4 Linear Programming | |
| 3-5 Linear Equations in Three Dimensions | |
| 3-6 Solving Linear Systems in Three Variables | |
| Chapter 4: Matrices | Chapter 4 Textbook |
| 4-1 Matrices and Data | |
| 4-2 Multiplying Matrices | |
| 4-3 Using Matrices to Transform Geometric Figures | |
| 4-4 Determinants and Cramer's Rule | |
| 4-5 Matrix Inverses and Solving Systems | |
| 4-6 Row Operations and Augmented Matrices | |
| Chapter 5: Quadratic Functions | Chapter 5 Textbook |
| 5-1 Using Transformations to Graph Quadratic Functions | Section 5.1 |
| 5-2 Properties of Quadratic Functions in Standard Form | Section 5.2 |
| 5-3 Solving Quadratic Equations by Graphing and Factoring | Section 5.3 |
| 5-4 Completing the Square | Section 5.4 |
| 5-5 Complex Numbers and Roots | Section 5.5 |
| 5-6 The Quadratic Formula | Section 5.6 |
| 5-7 Solving Quadratic Inequalities | Section 5.7 |
| 5-8 Curve Fitting with Quadratic Models | |
| 5-9 Operations with Complex Numbers | Section 5.9 |
| Chapter 5 Assessment | Practice Test 5 |
| Chapter 6: Polynomial Functions | Chapter 6 Textbook |
| 6-1 Polynomials | |
| 6-2 Multiplying Polynomials | |
| 6-3 Dividing Polynomials | |
| 6-4 Factoring Polynomials | |
| 6-5 Finding Real Roots of Polynomial Equations | |
| 6-6 Fundamental Theorem of Algebra | Section 6.6 |
| 6-7 Investigating Graphs of Polynomial Functions | |
| 6-8 Transforming Polynomial Functions | |
| 6-9 Curve Fitting with Polynomial Models | |
| Chapter 6 Assessment | Test 6 |
| Semester 1 Final Exam | Semester 1 Final Exam - Practice Test |
| Chapter & Sections | Textbook & Practice |
|---|---|
| Chapter 7: Exponential and Logarithmic Functions | Chapter 7 Textbook |
| 7-1 Exponential Functions, Growth, and Decay | Section 7.1 - 7.3 |
| 7-2 Inverses of Relations and Functions | |
| 7-3 Logarithmic Functions | |
| 7-4 Properties of Logarithms | Section 7.4 - 7.5 |
| 7-5 Exponential and Logarithmic Equations and Inequalities | |
| 7-6 The Natural Base, $e$ | Section 7.6 - 7.8_0 |
| 7-7 Transforming Exponential and Logarithmic Functions | |
| 7-8 Curve Fitting with Exponential and Logarithmic Models | |
| Chapter 7 Assessment | Practice Test 7 |
| Chapter 8: Rational and Radical Functions | Chapter 8 Textbook |
| 8-1 Variation Functions | Section 8.1 - 8.2 |
| 8-2 Multiplying and Dividing Rational Expressions | Section 8.2 - 8.3 |
| 8-3 Adding and Subtracting Rational Expressions | Section 8.3 - 8.4 |
| 8-4 Rational Functions | Section 8.4 - 8.5 Section 8.4 |
| 8-5 Solving Rational Equations and Inequalities | Quiz 8.5 and 13.5 Section 8.5 - 8.8 |
| 8-6 Radical Expressions and Rational Exponents | Section 8.6 - 8.8 |
| 8-7 Solving Radical Equations and Inequalities | |
| Chapter 8 Assessment | Test 8 Test 8_1 |
| Chapter 9: Properties and Attributes of Functions | Chapter 9 Textbook |
| 9-1 Multiple Representations of Functions | |
| 9-2 Piecewise Functions | |
| 9-3 Transforming Functions | |
| 9-4 Operations with Functions | |
| 9-5 Functions and Their Inverses | |
| 9-6 Modeling Real-World Data | |
| Chapter 10: Conic Sections | Chapter 10 Textbook |
| 10-1 Introduction to Conic Sections | Section 10.1 - 10.2 |
| 10-2 Circles | Quiz 10.2 - 10.3 |
| 10-3 Ellipses | Section 10.3 - 10.4 |
| 10-4 Hyperbolas | Section 10.4 - 10.5 |
| 10-5 Parabolas | Practice Quiz 10.5 - 10.6 |
| 10-6 Identifying Conic Sections | |
| 10-7 Solving Nonlinear Systems | |
| Chapter 10 Assessment | Practice Test 10 |
| Chapter 11: Probability and Statistics | Chapter 11 Textbook |
| 11-1 Permutations and Combinations | Practice Quiz 11.1 - 11.3_0 |
| 11-2 Theoretical and Experimental Probability | |
| 11-3 Independent and Dependent Events | |
| 11-4 Compound Events | |
| 11-5 Measures of Central Tendency and Variation | |
| 11-6 Binomial Distributions | |
| Chapter 12: Sequences and Series | Chapter 12 Textbook |
| 12-1 Introduction to Sequences | Quiz 12.1 - 12.3 |
| 12-2 Series and Summation Notation | |
| 12-3 Arithmetic Sequences and Series | |
| 12-4 Geometric Sequences and Series | |
| 12-5 Mathematical Induction and Infinite Geometric Series | |
| Chapter 12 Assessment | Practice Test 12.1 - 12.3 |
| Chapter 13: Trigonometric Functions | Chapter 13 Textbook |
| 13-1 Right-Angle Trigonometry | Section 13.1 - 13.2 |
| 13-2 Angles of Rotation | |
| 13-3 The Unit Circle | Section 13.3 |
| 13-4 Inverses of Trigonometric Functions | Practice Quiz 13.4 - 13.6 |
| 13-5 The Law of Sines | Section 13.5 Practice B with answers |
| 13-6 The Law of Cosines | Quiz 13.6 |
| Chapter 13 Assessment | Practice Test 13 |
| Chapter 14: Trigonometric Graphs and Identities | Chapter 14 Textbook |
| 14-1 Graphs of Sine and Cosine | |
| 14-2 Graphs of Other Trigonometric Functions | |
| 14-3 Fundamental Trigonometric Identities | |
| 14-4 Sum and Difference Identities | |
| 14-5 Double-Angle and Half-Angle Identities | |
| 14-6 Solving Trigonometric Equations | |
| Semester 2 Final Exam | Semester 2 Final Exam - Practice Test |
2. Algebra 2 Practice Questions & Worksheets by Topic
Select a specific topic unit or type keywords to search through 131 printable practice worksheets with step-by-step solutions:
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2.3 Official NYS High School Regents Examination Papers
Access official New York State (NYS) Regents High School Examination papers, scoring keys, rating guides, and model student response sets. Select exam year or search by keyword to download official PDFs.
3. Recommended Algebra 2 Textbooks & Study Guides
Access official High School Algebra 2 textbooks, practice workbooks, and comprehensive reference materials:
















