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Free Year 11 Algebra Worksheets

11 free algebra resources for Year 11: 5 worksheets, 6 study guides. Answers included.

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

Students will practise: 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 index laws, including fractional and negative indices; 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

    Year 11 Differentiation (Power Rule) Worksheet — Level 1

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

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

    Year 11 Differentiation (Power Rule) Worksheet — Level 2

    Differentiate polynomial functions using the power rule. Expected-level practice for this year group. This Year 11 worksheet has 10…

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

    Year 11 Factorising and Solving Quadratics Worksheet — Level 3

    Factorise monic quadratics and solve quadratic equations by factorising. A challenge set for students ready to stretch further. This Year…

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

    Year 11 Simultaneous Equations Worksheet — Level 3

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

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

    Year 11 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

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Functions, Domain and Range

    An HSC/VCE-style study guide to function notation, the vertical line test, and finding the domain and range of common functions. Worked…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Index and Logarithm Laws

    An HSC/VCE-style study guide that sets out the index laws, 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

    An HSC/VCE-style study guide to solving any quadratic equation with the quadratic formula and using the discriminant to predict how many…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Transformations of Functions

    An HSC/VCE-style 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 gradient 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

    An HSC/VCE-style study guide to the three rules that let you differentiate products, quotients and composite functions. Each worked…

    Difficulty
    Level 3 · Challenge
    Time
    30 min

Common questions

What do Year 11 students learn about algebra?

Patterns, expressions, equations, functions and graphs. At Year 11, 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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