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Free Year 10 Linear Equations Worksheets

9 free linear equations resources for Year 10: 9 worksheets. Answers included.

Solving one-step, two-step and multi-step equations. Year 10 prepares students for senior courses: quadratics, simultaneous equations, surds, trigonometry and logarithms, plus data analysis.

Students will practise: solving one-step equations; using inverse operations; checking solutions; solving two-step equations; solving equations with brackets and variables on both sides; solving linear inequalities; writing solutions as inequalities; reversing the sign when dividing by a negative.

Recommended learning path

  1. 1Year 10 Solving Linear Equations Worksheet — Level 1
  2. 2Year 10 Solving Linear Equations Worksheet — Level 2
  3. 3Year 10 Solving Linear Equations Worksheet — Level 3
  4. 4Year 10 Solving Linear Inequalities Worksheet — Level 1
  5. 5Year 10 Solving Linear Inequalities Worksheet — Level 2
  6. 6Year 10 Solving Linear Inequalities Worksheet — Level 3
  7. 7Year 10 Equation Word Problems Worksheet — Level 1
  8. 8Year 10 Equation Word Problems Worksheet — Level 2
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 10 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 10 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 10…

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

    Year 10 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 10 Solving Linear Inequalities Worksheet — Level 1

    Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…

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

    Year 10 Solving Linear Inequalities Worksheet — Level 2

    Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…

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

    Year 10 Solving Linear Inequalities Worksheet — Level 3

    Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…

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

    Year 10 Equation Word Problems Worksheet — Level 1

    Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems. Builds…

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

    Year 10 Equation Word Problems Worksheet — Level 2

    Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems.…

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

    Year 10 Equation Word Problems Worksheet — Level 3

    Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems. A…

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

All linear equations worksheets, every year →

Common questions

What do Year 10 students learn about linear equations?

Solving one-step, two-step and multi-step equations. At Year 10, our resources focus on: solving one-step equations; using inverse operations; checking solutions; solving two-step equations.

Where should we start?

Start with the Level 1 or Level 2 worksheet, then move up a level. Finish with the topic test if there is one.

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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