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Free Year 7 Algebra Worksheets

9 free algebra resources for Year 7: 7 worksheets, 1 study guide, 1 test. Answers included.

Patterns, expressions, equations, functions and graphs. In Year 7, In Year 7, maths becomes algebraic: integers, simplifying expressions, substitution, solving simple equations, ratios and index notation.

Students will practise: understanding pronumerals, terms, coefficients and constants; writing algebraic expressions from words; substituting values into expressions; simplifying expressions by collecting like terms; identifying like terms; working with negative coefficients; solving one-step equations; using inverse operations.

Recommended learning path

  1. 1Algebra Basics: Expressions
  2. 2Year 7 Introduction to Algebra Topic Test
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 1

    Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This Year 7…

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

    Year 7 Solving Linear Equations Worksheet — Level 1

    One-step, two-step and equations with brackets or variables on both sides. Builds confidence with the core skill before adding complexity.…

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

    Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 1 (Set 2)

    Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This Year 7…

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

    Year 7 Solving Linear Equations Worksheet — Level 1 (Set 2)

    One-step, two-step and equations with brackets or variables on both sides. Builds confidence with the core skill before adding complexity.…

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

    Year 7 Solving Linear Equations Worksheet — Level 2

    One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 7…

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

    Year 7 Substitution Worksheet — Level 1

    Substitute values into expressions and formulas and evaluate. Builds confidence with the core skill before adding complexity. This Year 7…

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

    Year 7 Expanding Brackets Worksheet — Level 1

    Expand single brackets, then binomial products. Builds confidence with the core skill before adding complexity. This Year 7 worksheet has…

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

Topic Tests

End-of-topic tests covering the whole topic.

  • Topic Test

    Year 7 Introduction to Algebra Topic Test

    Simplifying expressions, substitution and solving one-step equations in a 40-minute Year 7 algebra test with marks and worked solutions.

    Difficulty
    Level 2 · Standard
    Time
    40 min
    Questions
    22 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Algebra Basics: Expressions

    An introduction to algebra for Year 7: what pronumerals are, how to read and write expressions, substituting numbers for letters, and…

    Difficulty
    Level 2 · Standard
    Time
    20 min

Common questions

What do Year 7 students learn about algebra?

Patterns, expressions, equations, functions and graphs. At Year 7, our resources focus on: understanding pronumerals, terms, coefficients and constants; writing algebraic expressions from words; substituting values into expressions; simplifying expressions by collecting like terms.

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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