Algebra 2 (11th Grade) Math Worksheets, Lessons and Tests (Free PDF)
These algebra 2 worksheets follow the Common Core State Standards chapter by chapter: each chapter has a lesson, a worksheet of at least 20 exercises with solutions, a timed test with its answer key and an online quiz, all with a free PDF.
Algebra 2 extends Algebra 1 to complex numbers, polynomial and rational functions, radical and rational equations, inverse, exponential and logarithmic functions, trigonometric functions on the unit circle, sequences and series, and statistics with the normal distribution and inference.
Algebra 2 worksheets: all chapters
1. Complex Numbers: Adding, Subtracting and Multiplying
Understand the imaginary unit i · Add and subtract complex numbers · Multiply complex numbers
2. Complex Conjugates and Complex Solutions
Understand a complex conjugate · Divide complex numbers · Solve a quadratic with complex solutions
3. Radicals and Rational Exponents
A rational exponent is a root and a power at once: a to the m over n equals the nth root of a, raised to the m.
4. Polynomial Operations and Identities
A polynomial is a sum of terms with whole-number exponents, and sums, differences, and products of polynomials are again polynomials.
5. Dividing Polynomials and the Remainder Theorem
Understand synthetic division · Understand the Remainder Theorem
6. Zeros and Graphs of Polynomial Functions
Understand a zero of a polynomial · Predict the end behavior · Find zeros that do not factor easily
7. Forms of Quadratic Functions
Understand the three forms of a quadratic function · Complete the square
8. Solving Quadratic Equations
Solve by completing the square · Use the quadratic formula
9. Systems of Linear and Quadratic Equations
To solve a system of a linear and a quadratic equation, substitute the linear expression for y into the quadratic, solve for x, then find y for each x.
10. Rational Expressions
Understand a rational expression · Multiply and divide rational expressions · Add and subtract rational expressions
11. Radical and Rational Equations
Solve a radical equation · Solve a rational equation
12. Transformations of Functions
Describe several transformations at once · Understand even and odd functions
13. Composition and Inverse Functions
Understand the composition of two functions · Understand an inverse function · Find an inverse when the function is not one-to-one
14. Exponential Growth and Decay
An exponential function f(x) = a·b^x multiplies by the factor b for each step in x.
15. Logarithms
Understand a logarithm · Understand the properties of logarithms · Solve an exponential equation
16. Arithmetic and Geometric Sequences and Series
Understand a sequence · Add the terms of a series
17. Radians and the Unit Circle
Understand a radian · Find trig values in other quadrants
18. Graphs of Trigonometric Functions and Identities
Model periodic situations · Understand the Pythagorean identity
19. The Normal Distribution
Understand a normal distribution · Understand a z-score · Find the percentage of data in an interval
20. Sampling, Surveys and Experiments
A random sample lets you use a statistic to estimate a population parameter, while a biased sample misleads.
How to use these algebra 2 worksheets
Pick a chapter, read its one-page lesson, then solve the worksheet on paper and check every answer with the solutions page. Take the ten-question quiz to see what is still unclear, and finish with the timed test. Every page can be printed from its PDF button, and the quick practice at the bottom of each page gives ten new questions at every visit.
Algebra 2 math: common questions
What grade is Algebra 2?
Algebra 2 is usually taken in 11th grade, after Geometry.
What is the hardest part of Algebra 2?
Logarithms, rational expressions and the unit circle are the topics where students most often need extra practice.
Is Algebra 2 needed for Precalculus?
Yes. Precalculus builds directly on Algebra 2 functions, logarithms and trigonometry.
Are there Algebra 2 tests with answer keys?
Yes. Each chapter has a 45-minute test and a solutions page with a scoring guide.