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Free 11th Grade Algebra Worksheets

29 free algebra resources for 11th Grade: 23 worksheets, 6 study guides. Answers included.

Patterns, expressions, equations, functions and graphs. 11th grade is the first year of senior study.

Students will practice: using function notation to evaluate and substitute expressions; deciding whether a relation is a function using the vertical line test; finding the natural domain of square-root and rational functions; finding the range of a function by completing the square or using a restricted domain; simplifying expressions using the laws of exponents, including fractional and negative exponents; converting between index form and logarithmic form; simplifying and expanding expressions using the logarithm laws; solving exponential and logarithmic equations, checking that solutions are in the domain.

Recommended learning path

  1. 1Functions, Domain and Range
  2. 2Index and Logarithm Laws
  3. 3The Quadratic Formula and the Discriminant
  4. 4Transformations of Functions
  5. 5Differentiation Basics: The Power Rule
  6. 6Differentiation: Product, Quotient and Chain Rules
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Exponential Functions: Graphs, Equations and Models

    A senior math worksheet on exponential functions: features of the graphs of y = bˣ and their transformations (intercepts, asymptotes,…

    Difficulty
    Level 2 · Standard
    Time
    50 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    Polynomials: Division, Factor and Remainder Theorems

    A senior math worksheet on polynomials: degree, leading coefficient and evaluating P(a), dividing a polynomial by a linear or quadratic…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    16 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Arithmetic and Geometric Sequences Worksheet — Level 1

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Builds confidence with the core skill…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Differentiation (Power Rule) Worksheet — Level 1

    Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This 11th Grade…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Factoring and Solving Quadratics Worksheet — Level 1

    Factor monic quadratics and solve quadratic equations by factoring. Builds confidence with the core skill before adding complexity. This…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Function Notation, Composites and Inverses Worksheet — Level 1

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Builds confidence with…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Logarithms and Exponential Equations Worksheet — Level 1

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Builds confidence with the core…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Systems of Equations Worksheet — Level 1

    Solve pairs of linear equations by elimination or substitution. Builds confidence with the core skill before adding complexity. This 11th…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Arithmetic and Geometric Sequences Worksheet — Level 2

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Expected-level practice for this…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Differentiation (Power Rule) Worksheet — Level 2

    Differentiate polynomial functions using the power rule. Expected-level practice for this grade. This 11th Grade worksheet has 10…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Factoring and Solving Quadratics Worksheet — Level 2

    Factor monic quadratics and solve quadratic equations by factoring. Expected-level practice for this grade. This 11th Grade worksheet has…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Function Notation, Composites and Inverses Worksheet — Level 2

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Expected-level practice…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Logarithms and Exponential Equations Worksheet — Level 2

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Expected-level practice for…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Systems of Equations Worksheet — Level 2

    Solve pairs of linear equations by elimination or substitution. Expected-level practice for this grade. This 11th Grade worksheet has 8…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Arithmetic and Geometric Sequences Worksheet — Level 3

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. A challenge set for students ready to…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Differentiation (Power Rule) Worksheet — Level 3

    Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This 11th Grade worksheet…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Factoring and Solving Quadratics Worksheet — Level 3

    Factor monic quadratics and solve quadratic equations by factoring. A challenge set for students ready to stretch further. This 11th Grade…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Function Notation, Composites and Inverses Worksheet — Level 3

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. A challenge set for…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Logarithms and Exponential Equations Worksheet — Level 3

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. A challenge set for students…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Systems of Equations Worksheet — Level 3

    Solve pairs of linear equations by elimination or substitution. A challenge set for students ready to stretch further. This 11th Grade…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Integration (Polynomials) Worksheet — Level 1

    Find indefinite integrals of polynomials and evaluate simple definite integrals. Builds confidence with the core skill before adding…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Integration (Polynomials) Worksheet — Level 2

    Find indefinite integrals of polynomials and evaluate simple definite integrals. Expected-level practice for this grade. This 11th Grade…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Integration (Polynomials) Worksheet — Level 3

    Find indefinite integrals of polynomials and evaluate simple definite integrals. A challenge set for students ready to stretch further.…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Functions, Domain and Range

    A senior study guide to function notation, the vertical line test, and finding the domain and range of common functions. Worked examples…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Index and Logarithm Laws

    A senior study guide that sets out the laws of exponents, the definition of a logarithm and the logarithm laws side by side. Worked…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    The Quadratic Formula and the Discriminant

    A senior study guide to solving any quadratic equation with the quadratic formula and using the discriminant to predict how many real…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Transformations of Functions

    A senior study guide to translating, stretching and reflecting graphs using the form y = a f(b(x − h)) + k. Worked examples track…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Differentiation Basics: The Power Rule

    Introduces the derivative as a slope function and sets out the power rule for differentiating polynomials, including negative and…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
  • Study Guide

    Differentiation: Product, Quotient and Chain Rules

    A senior study guide to the three rules that let you differentiate products, quotients and composite functions. Each worked example names…

    Difficulty
    Level 3 · Challenge
    Time
    30 min

All algebra worksheets, every grade →

Common questions

What do 11th Grade students learn about algebra?

Patterns, expressions, equations, functions and graphs. At 11th Grade, our resources focus on: using function notation to evaluate and substitute expressions; deciding whether a relation is a function using the vertical line test; finding the natural domain of square-root and rational functions; finding the range of a function by completing the square or using a restricted domain.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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