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Free Year 8 Algebra Worksheets

10 free algebra resources for Year 8: 8 worksheets, 1 study guide, 1 test. Answers included.

Patterns, expressions, equations, functions and graphs. In Year 8, Year 8 extends algebra to expanding brackets and two-step equations, adds percentages increase and decrease, ratio and rates, index laws and congruence.

Students will practise: understanding an equation as a balance; using inverse operations to isolate the pronumeral; solving one-step, two-step and multi-step linear equations; checking a solution by substitution; identifying like terms; simplifying expressions by collecting like terms; working with negative coefficients; solving two-step equations.

Recommended learning path

  1. 1Solving Linear Equations
  2. 2Year 8 Linear Equations Topic Test
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 2

    Collect like terms and simplify algebraic expressions. Expected-level practice for this year group. This Year 8 worksheet has 14 questions…

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

    Year 8 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 8…

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

    Year 8 Solving Linear Equations Worksheet — Level 2 (Set 2)

    One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 8…

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

    Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 3

    Collect like terms and simplify algebraic expressions. A challenge set for students ready to stretch further. This Year 8 worksheet has 14…

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

    Year 8 Solving Linear Equations Worksheet — Level 3

    One-step, two-step and equations with brackets or variables on both sides. A challenge set for students ready to stretch further. This…

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

    Year 8 Substitution Worksheet — Level 2

    Substitute values into expressions and formulas and evaluate. Expected-level practice for this year group. This Year 8 worksheet has 12…

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

    Year 8 Expanding Brackets Worksheet — Level 1

    Expand single brackets, then binomial products. Builds confidence with the core skill before adding complexity. This Year 8 worksheet has…

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

    Year 8 Expanding Brackets Worksheet — Level 1 (Set 2)

    Expand single brackets, then binomial products. Builds confidence with the core skill before adding complexity. This Year 8 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 8 Linear Equations Topic Test

    Two-step equations, equations with brackets and expanding brackets in a 40-minute Year 8 test with marks and worked solutions.

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

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Solving Linear Equations

    Explains the balance method for solving equations: do the same thing to both sides using inverse operations. Builds from one-step…

    Difficulty
    Level 2 · Standard
    Time
    20 min

Common questions

What do Year 8 students learn about algebra?

Patterns, expressions, equations, functions and graphs. At Year 8, our resources focus on: understanding an equation as a balance; using inverse operations to isolate the pronumeral; solving one-step, two-step and multi-step linear equations; checking a solution by substitution.

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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