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Free Year 9 Algebra Worksheets

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

Patterns, expressions, equations, functions and graphs. In Year 9, Year 9 students solve more complex equations, work with linear graphs, meet Pythagoras' theorem and trigonometry, and expand binomials.

Students will practise: understanding gradient as rise over run and the y-intercept as the value of y when x = 0; calculating the gradient of a line through two points; finding the equation of a line from its gradient and a point, or from two points; sketching a line from its equation using the intercept and gradient; factorising quadratic expressions; finding factor pairs; applying the null factor law; solving simultaneous equations by elimination.

Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 9 Factorising and Solving Quadratics Worksheet — Level 1

    Factorise monic quadratics and solve quadratic equations by factorising. Builds confidence with the core skill before adding complexity.…

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

    Year 9 Simultaneous Equations Worksheet — Level 1

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

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

    Year 9 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 9 Solving Linear Equations Worksheet — Level 3 (Set 2)

    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 9 Substitution Worksheet — Level 3

    Substitute values into expressions and formulas and evaluate. A challenge set for students ready to stretch further. This Year 9 worksheet…

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

    Year 9 Expanding Brackets Worksheet — Level 2

    Expand single brackets, then binomial products. Expected-level practice for this year group. This Year 9 worksheet has 12 questions and…

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

    Year 9 Expanding Brackets Worksheet — Level 2 (Set 2)

    Expand single brackets, then binomial products. Expected-level practice for this year group. This Year 9 worksheet has 12 questions and…

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

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Linear Graphs: Gradient and Intercept

    Explains the y = mx + c form of a straight line for Year 9: what the gradient and y-intercept mean, how to calculate the gradient from two…

    Difficulty
    Level 2 · Standard
    Time
    20 min

Common questions

What do Year 9 students learn about algebra?

Patterns, expressions, equations, functions and graphs. At Year 9, our resources focus on: understanding gradient as rise over run and the y-intercept as the value of y when x = 0; calculating the gradient of a line through two points; finding the equation of a line from its gradient and a point, or from two points; sketching a line from its equation using the intercept and gradient.

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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