Algebra 2 Worksheets: FREE & Printable

Algebra 2 can feel much larger than Algebra 1 because the problems start combining several old skills at once. A logarithm problem may still need exponent rules. A rational equation may still need factoring. A trigonometry graph may still need careful work with intercepts, shifts, and domains.

That is why this page is organized by skill instead of by a giant mixed review packet. If a student is missing one move — simplifying a radical, finding a matrix inverse, reading an asymptote, or choosing the right trig identity — you can print only that worksheet and work on the exact spot that needs attention.

There are 185 free Algebra 2 worksheets below. Each PDF gives focused practice, answer keys, and worked explanations, with graphs and visual answers included where the topic needs them.

If you are reviewing more than one course at once, the Algebra bundle is the cleaner path: Pre-Algebra, Algebra I, and Algebra II in one sequence, so weak spots from earlier courses do not keep interrupting the Algebra 2 work.

What’s on this page

The worksheets are grouped in the order many Algebra 2 courses use: foundations and linear work first, then quadratics, complex numbers, matrices, polynomials, functions, exponential and logarithmic functions, radicals, rational expressions, conics, sequences, trigonometry, statistics, probability, and financial literacy.

Use the section notes to decide where to start. Each link opens a printable PDF in a new tab.

On this page

Algebra 2 Worksheets

Foundations and Building Blocks

Start here if the course feels rusty. These sheets clean up the habits Algebra 2 keeps reusing: order of operations, exponents, scientific notation, sets, units, and the difference between rational and radical forms.

• Order of Operations
• Scientific Notation
• Rules of Exponents
• Evaluating Expressions
• Simplifying Algebraic Expressions
• Sets and Set Notation
• Field Properties of Real and Complex Numbers
• Units Quantities and Descriptive Modeling
• Rational and Radical Forms of Expressions

Linear Equations, Inequalities, and Systems

This section keeps the line work sharp. You will solve equations and inequalities, read intercepts, graph linear inequalities, and work with systems before the course moves into curves.

• Solving Multi-Step Equations
• Slope and Intercepts
• Using Intercepts
• Transforming Linear Functions
• Solving Inequalities
• Graphing Linear Inequalities
• Solving Compound Inequalities
• Solving Absolute Value Equations
• Solving Absolute Value Inequalities
• Graphing Absolute Value Inequalities
• Systems of Equations
• Solving Special Systems
• Systems of Equations Word Problems
• Systems of Three Linear Equations
• Linear Programming and Constraints

Quadratic Functions and Equations

Quadratics show up as graphs, equations, inequalities, roots, and real situations. Work through this group when parabolas, square roots, factoring, and graphing all need to connect.

• Solving a Quadratic Equation
• Graphing Quadratic Functions
• Axis of Symmetry of Quadratic Functions
• Solving a Quadratic Equation by Graphing
• Solving Quadratic Equations by Using Square Roots
• Build Quadratics from Roots
• Solving Quadratic Inequalities
• Graphing Quadratic Inequalities
• Factoring the Difference of Two Perfect Squares

Complex Numbers

When a quadratic has no real solution, the work does not stop. These worksheets give practice with i, complex arithmetic, conjugates, moduli, and the Fundamental Theorem of Algebra.

• Adding and Subtracting Complex Numbers
• Multiplying and Dividing Complex Numbers
• Rationalizing Imaginary Denominators
• Fundamental Theorem of Algebra
• Complex Conjugates and Modulus

Matrices

Matrices organize information so systems and transformations can be handled cleanly. This group moves from basic matrix operations into determinants, inverses, Gaussian elimination, and matrix equations.

• Using Matrices to Represent Data
• Adding and Subtracting Matrices
• Matrix Multiplication
• Finding Determinants of a Matrix
• The Inverse of a Matrix
• Solving Systems with Matrix Equations
• Augmented Matrices and Gaussian Elimination
• Identity and Zero Matrices

Polynomials

This is one of the long stretches of Algebra 2. You will write, simplify, multiply, divide, factor, and analyze polynomials, then use the Remainder and Factor Theorems to make sense of zeros and end behavior.

• Writing Polynomials in Standard Form
• Simplifying Polynomials
• Adding and Subtracting Polynomials
• Multiplying and Dividing Monomials
• Multiplying a Polynomial and a Monomial
• Multiplying Binomials
• Factoring Trinomials
• Choosing a Factoring Method for Polynomials
• Factoring by GCF
• Factors and Greatest Common Factors
• Operations with Polynomials
• Even and Odd Functions
• End Behavior of Polynomial Functions
• Remainder and Factor Theorems
• Polynomial Division (Long Division)
• Polynomial Division (Synthetic Division)
• Finding Zeros of Polynomials
• Polynomial Identities

Functions

Functions are the language of the course. These sheets help with notation, operations, composition, inverses, domain and range, transformations, rates of change, and piecewise rules.

• Function Notation
• Adding and Subtracting Functions
• Multiplying and Dividing Functions
• Composition of Functions
• Writing Functions
• Parent Functions
• Function Inverses
• Inverse Variation
• Graphing Functions
• Domain and Range of a Function
• Piecewise Functions
• Increasing and Decreasing Functions
• Average Rate of Change of a Function
• Even Odd and Symmetric Functions
• Transformations of Parent Functions

Exponential Functions

Use these when growth is no longer linear. The worksheets compare linear, quadratic, and exponential patterns, then move into growth, decay, and compound interest.

• Exponential Functions
• Linear Quadratic and Exponential Models
• Linear vs Exponential Growth
• Exponential Growth and Decay
• Compound and Continuously Compounded Interest

Logarithms

Logarithms undo exponential functions. This group covers evaluating logs, using log properties, solving logarithmic equations, and reading real-world log scales.

• Evaluating Logarithms
• Properties of Logarithms
• Natural Logarithms
• Solving Logarithmic Equations
• Inverse Relationship of Exponential and Logarithmic Functions
• Logarithmic Scales and Applications

Worksheets are best when one skill needs practice. When the lesson itself needs to be taught in order, Algebra II for Beginners pairs well with this page: read the lesson, work the examples, then print the matching worksheet below for practice.

Radical Expressions

Radicals need careful algebra because every square root carries a domain question with it. These sheets cover simplifying, combining, multiplying, and solving radical expressions and equations.

• Simplifying Radical Expressions
• Simplifying Radicals with Fractions
• Multiplying Radical Expressions
• Adding and Subtracting Radical Expressions
• Domain and Range of Radical Functions
• Radical Equations
• Solving Radical Inequalities

Rational Expressions

Rational expressions behave like fractions with variables, so restrictions matter. Practice simplifying, multiplying, dividing, adding, graphing, solving, and reading asymptotes.

• Rational and Irrational Numbers
• Simplifying Rational Expressions
• Graphing Rational Expressions
• Multiplying Rational Expressions
• Dividing Rational Expressions
• Adding and Subtracting Rational Expressions
• Rational Equations
• Simplifying Complex Fractions
• Maximum and Minimum Points
• Solving Rational Inequalities
• Irrational Functions
• Direct Inverse Joint and Combined Variation
• Asymptotes of Rational Functions

If a student is preparing for a semester exam or needs more mixed practice than one worksheet can hold, the Algebra II practice workbook gives a longer problem set while these PDFs stay useful for quick, targeted review.

Conic Sections

Conics turn algebra into geometry. These worksheets cover parabolas, circles, ellipses, hyperbolas, and the clues that identify each graph from its equation.

• Equation of Parabola
• Focus Vertex and Directrix of a Parabola
• Standard Form of a Circle
• Center and Radius of Circles
• Equation of an Ellipse
• Hyperbola in Standard Form
• Classifying a Conic Section

Sequences and Series

Patterns become formulas here. Work on arithmetic and geometric sequences, finite and infinite series, sigma notation, Pascal’s Triangle, the Binomial Theorem, and recursive definitions.

• Arithmetic Sequences
• Geometric Sequences
• Arithmetic Series
• Finite Geometric Series
• Infinite Geometric Series
• Pascal's Triangle
• Binomial Theorem
• Sigma Notation
• Alternating Series
• Recursive and Explicit Definitions of Sequences

Trigonometric Functions

This section starts with angles and right triangles, then moves to the unit circle, reference angles, reciprocal functions, inverse trig, and arc length.

• Angles of Rotation
• Angles and Angle Measure
• Right-Triangle Trigonometry
• Trigonometric Ratios
• Function Values of Special Angles
• Missing Sides and Angles of a Right Triangle
• Reciprocal Trigonometric Functions
• Cofunction Identities
• Function Values from the Calculator
• Reference Angles and the Calculator
• Coterminal Angles and Reference Angles
• Evaluating Trigonometric Functions
• Pythagorean Identities
• Unit Circle
• Arc Length and Sector Area

Trigonometric Identities and Equations

These worksheets are for the algebra inside trigonometry: identities, equations, Law of Sines, Law of Cosines, and sum, difference, and double-angle formulas.

• Domain and Range of Trigonometric Functions
• Inverse Trigonometric Functions
• Fundamental Trigonometric Identities
• Solving Trigonometric Equations
• Law of Sines
• Law of Cosines
• Double Angle Identities
• Sum and Difference Identities

Graphs of Trigonometric Functions

Graphing trig functions is about shape, period, amplitude, phase shift, and asymptotes. This group covers sine, cosine, tangent, reciprocal graphs, and inverse trig graphs.

• Graphing the Sine Function
• Graphing the Cosine Function
• Amplitude Period and Phase Shift
• Writing the Equation of a Sine Graph
• Graphing the Tangent Function
• Graphing the Cosecant Function
• Graphing the Secant Function
• Graphing the Cotangent Function
• Graphing Inverse Sine
• Graphing Inverse Cosine
• Graphing Inverse Tangent

Statistics

The statistics section focuses on reading data carefully: histograms, box plots, dispersion, regression, sampling, margin of error, simulations, and statistical reports.

• Frequency and Histograms
• Box-and-Whisker Plots
• Measures of Dispersion
• Organizing Data
• Data Distribution
• Central Limit Theorem and Standard Error
• Fitting Regression Models to Scatter Plots
• Using Regression Models for Prediction
• Statistics as a Process for Inference
• Sample Surveys Experiments and Observational Studies
• Sampling Distributions and Margin of Error
• Comparing Two Treatments via Simulation
• Evaluating Statistical Reports
• Z-Scores and the Normal Distribution

Probability

Probability in Algebra 2 is part counting, part logic. These worksheets cover independent and dependent events, compound events, conditional probability, binomial probability, permutations, combinations, and two-way tables.

• Independent and Dependent Events
• Compound Events
• Conditional and Binomial Probabilities
• Theoretical Probability
• Experimental Probability
• Permutations and Combinations
• Two-Way Frequency Tables
• Independence and Conditional Probability

Financial Literacy

End with money situations that use the same algebra: simple interest, compound interest, continuous growth, and long-term financial decisions.

• Simple Compound and Continuous Interest
• Long-Term Financial Decisions

How to use these worksheets

Pick one worksheet, not ten. Algebra 2 mistakes are often small and specific: a missed restriction, a sign error while factoring, a graph shifted the wrong direction, or a logarithm property used backward. One focused sheet makes that mistake easier to see.

Work the example first, then cover it and try the first few practice problems without looking back. If the first problems feel shaky, stay with that skill before moving to mixed review.

Use the answer key as a check on the work, not just the final answer. When a response is wrong, compare the student’s line-by-line work with the explanation and name the exact step that changed the answer.

Sample Algebra 2 Problems with Solutions

Here are three short problems like the ones in the worksheets, so you can see the kind of work each topic asks for.

1. Solve a quadratic by factoring

Solve x² − 5x + 6 = 0.

• Find two numbers that multiply to 6 and add to −5: −2 and −3.
• Factor: (x − 2)(x − 3) = 0.
• Set each factor to zero: x = 2 or x = 3.

2. Multiply complex numbers

Simplify (3 + 2i)(1 − i).

• Distribute: 3 − 3i + 2i − 2i².
• Use i² = −1, so −2i² = +2.
• Combine: 5 − i.

3. Solve a logarithmic equation

Solve log₂(x) + log₂(x − 2) = 3.

• Combine the logs: log₂(x(x − 2)) = 3.
• Rewrite in exponential form: x(x − 2) = 2³ = 8.
• Solve x² − 2x − 8 = 0, which factors to (x − 4)(x + 2) = 0.
• Check: x = −2 makes log₂(x) undefined, so the only answer is x = 4.

The last step is a common place to lose points. Always plug your answers back into a log or radical equation to rule out extra solutions.

Algebra 2 Topics at a Glance

Use this table to see what each worksheet group practices and what to review first if a topic feels hard.

Topic	Typical problem	Review first
Linear systems	Solve two or three equations at once	Solving one-variable equations
Quadratics	Factor, complete the square, use the quadratic formula	Multiplying binomials
Complex numbers	Add, multiply and divide a + bi forms	Square roots and i² = −1
Polynomials	Divide, find zeros, describe end behavior	Factoring
Exponentials and logs	Solve growth problems and log equations	Exponent rules
Rational expressions	Simplify, add and solve with fractions	Fraction operations
Conic sections	Write and graph circles and parabolas	Completing the square
Trigonometry	Find ratios, use the unit circle, graph sine	Right triangles

Frequently asked questions

Are there Algebra 2 worksheets with answers in PDF?

Yes. There are 185 free printable Algebra 2 worksheets, and each PDF comes with an answer key. Graph-heavy topics like conic sections and trig graphs also include visual answers. Finish a sheet, check every answer, and plug your solutions back into the original equation, especially for radical and log problems, where extra solutions can appear.

Are these Algebra 2 worksheets good for 11th grade?

Yes. Algebra 2 is commonly taken in 10th or 11th grade in the US, and these worksheets follow the usual course order: linear systems, quadratics, complex numbers, polynomials, exponential and logarithmic functions, rational expressions, conics, sequences and trigonometry. An 11th grader can jump to the unit their class is on or use earlier topics for review.

What kind of problems are in Algebra 2?

Algebra 2 problems often combine several skills at once. You might solve a log equation such as log₂(x) = 5, which means x = 2⁵ = 32, or simplify a complex number like (3 + 2i)(1 − i) = 5 − i. Other topics include matrices, polynomial division, rational equations, sequences and series, and trigonometric functions.

Are there Algebra 2 word problems with answers?

Yes. Many Algebra 2 worksheets include word problems, especially in exponential growth, finance, sequences and statistics. For example, $500 invested at 4% interest compounded once a year grows to 500 × (1.04)² = $540.80 after two years. Write the formula first, then substitute values, and check whether your answer is reasonable before comparing it with the key.

Can college students use Algebra 2 worksheets?

Yes. Algebra 2 topics are the base for College Algebra and Precalculus, so the worksheets are a good refresher before a placement test or a first college math course. Focus on functions, exponents and logarithms, rational expressions and factoring, since those come up again and again. Print only the topics that feel rusty and work through them one at a time.

Are there Algebra 2 review worksheets?

Yes. For a full Algebra 2 review, work through the topics in order: foundations and linear systems, then quadratics, polynomials, functions, exponential and logarithmic functions, and on to trigonometry. Most worksheets take about 20 to 35 minutes. Keep a list of missed problems and redo them a week later to make sure the skill really stuck.

More Algebra 2 practice

The printable PDFs above are the main worksheet library. The interactive practice questions below are useful for quick extra checks, especially when you want a few warm-up problems before printing a full sheet.

Algebra 2 Practice Questions

Fractions and Decimals

Real Numbers and Integers

Proportions and Ratios

Percent

Algebraic Expressions

Equations and Inequalities

Linear Functions

Polynomials

Exponents and Radicals

Statistics

Geometry

Solid Figures

Need lessons alongside your worksheets?

For help with a skill before trying another worksheet, visit the free Algebra 2 learning center. Use its lessons to review the method and its formula guide to check the rules you need.

Explore Algebra II for Beginners for lesson explanations and worked examples. Open the book page to view the sample pages, compare the digital PDF and paperback options, and check the current price before choosing.