Eleventh grade Math Practice
Grade 11 Math deepens algebraic reasoning through polynomial, rational, exponential, and trigonometric functions while introducing statistics, probability, and pre-calculus concepts that prepare students for college-level mathematics.
90 skills · 644 questions · No signup required to try
Adaptive difficulty
Questions get harder as your child improves and ease back when they struggle.
Mastery tracking
See real progress across every eleventh grade Math skill.
Motivating
Streaks, points, badges, and games keep kids coming back.
Eleventh grade Math topics covered
Number and quantity
- Perform arithmetic operations with complex numbers
- Represent complex numbers on the complex plane
- Use properties of rational and irrational numbers
- Rewrite expressions involving radicals and rational exponents
Polynomial and rational expressions
- Perform arithmetic operations on polynomials
- Understand the relationship between zeros and factors of polynomials
- Use polynomial identities to solve problems
- Rewrite rational expressions
Functions
- Understand functions and use function notation
- Interpret key features of graphs and tables
- Analyze functions using different representations
- Build functions that model relationships between two quantities
Trigonometric functions
- Extend the domain of trigonometric functions using the unit circle
- Model periodic phenomena with trigonometric functions
- Prove and apply trigonometric identities
- Graph trigonometric functions and identify key features
Statistics and probability
- Summarize, represent, and interpret data on a single variable
- Summarize, represent, and interpret data on two variables
- Understand and evaluate random processes
- Make inferences and justify conclusions from data
Equations and inequalities
- Solve linear equations and inequalities in one variable, including those with absolute value
- Solve systems of linear equations in two and three variables using substitution, elimination, and matrices
- Solve quadratic equations by completing the square and applying the quadratic formula
- Solve rational equations and identify extraneous solutions
Exponential and logarithmic relationships
- Evaluate and simplify expressions using properties of exponents
- Convert between exponential and logarithmic forms of an equation
- Apply the product, quotient, and power rules of logarithms
- Graph exponential growth and decay functions and identify asymptotes
Polynomial functions and their graphs
- Classify polynomials by degree and number of terms
- Apply the Remainder Theorem and Factor Theorem to evaluate and factor polynomials
- Apply the Rational Root Theorem to identify potential zeros of a polynomial
- Find all real and complex zeros of a polynomial function
Rational functions
- Identify domains, holes, and asymptotes of rational functions
- Graph rational functions by analyzing intercepts, asymptotes, and end behavior
- Simplify rational expressions by factoring and canceling common factors
- Add, subtract, multiply, and divide rational expressions
Sequences, series, and mathematical induction
- Identify and write explicit and recursive formulas for arithmetic sequences
- Identify and write explicit and recursive formulas for geometric sequences
- Find partial sums of arithmetic and geometric series using summation formulas
- Determine whether an infinite geometric series converges and find its sum
Matrices and systems
- Add, subtract, and multiply matrices and identify when operations are defined
- Find the determinant of 2×2 and 3×3 matrices
- Find the inverse of a 2×2 matrix and verify using matrix multiplication
- Solve systems of linear equations using matrix equations and inverse matrices
Analytic geometry and conic sections
- Derive and apply the distance and midpoint formulas in the coordinate plane
- Write and graph equations of circles in standard form by completing the square
- Write and graph equations of parabolas and identify vertex, focus, and directrix
- Write and graph equations of ellipses and identify foci, vertices, and axes
Frequently asked questions
Is Eleventh grade Math practice free?+
Yes — try several questions per grade free, no signup needed. A free account unlocks unlimited adaptive practice and saved progress.
How does ZeLarn adapt to my child's level?+
After each answer, ZeLarn adjusts the difficulty — promoting to harder questions after a correct streak and easing back when your child struggles — so practice always stays at the right challenge.
Is ZeLarn a good IXL alternative for eleventh grade Math?+
ZeLarn offers adaptive practice, mastery tracking, and gamification (streaks, badges, games) as a free, engaging alternative for eleventh grade students.