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Free 7th Grade Algebra Worksheets

20 free algebra resources for 7th Grade: 18 worksheets, 1 study guide, 1 test. Answers included.

Patterns, expressions, equations, functions and graphs. In 7th Grade, In 7th grade, math becomes algebraic: integers, simplifying expressions, substitution, solving simple equations, ratios and index notation.

Students will practice: understanding variables, 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. 27th Grade Introduction to Algebra Topic Test
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    7th Grade Simplifying Expressions (Like Terms) Worksheet — Level 1

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

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

    7th Grade Solving Linear Equations Worksheet — Level 1

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

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

    7th Grade 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 7th Grade…

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

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

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

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

    7th Grade Simplifying Expressions (Like Terms) Worksheet — Level 2

    Collect like terms and simplify algebraic expressions. Expected-level practice for this grade. This 7th Grade worksheet has 14 questions…

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

    7th Grade Solving Linear Equations Worksheet — Level 2

    One-step, two-step and equations with parentheses or variables on both sides. Expected-level practice for this grade. This 7th Grade…

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

    7th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3

    Collect like terms and simplify algebraic expressions. A challenge set for students ready to stretch further. This 7th Grade worksheet has…

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

    7th Grade Solving Linear Equations Worksheet — Level 3

    One-step, two-step and equations with parentheses 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

    7th Grade 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

    7th Grade Substitution Worksheet — Level 1

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

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

    7th Grade 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

    7th Grade Substitution Worksheet — Level 2

    Substitute values into expressions and formulas and evaluate. Expected-level practice for this grade. This 7th Grade worksheet has 12…

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

    7th Grade 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

    7th Grade Substitution Worksheet — Level 3

    Substitute values into expressions and formulas and evaluate. A challenge set for students ready to stretch further. This 7th Grade…

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

    7th Grade 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

    7th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1

    Use the distributive property, then binomial products. Builds confidence with the core skill before adding complexity. This 7th Grade…

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

    7th Grade 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

    7th Grade 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

Topic Tests

End-of-topic tests covering the whole topic.

  • Topic Test

    7th Grade Introduction to Algebra Topic Test

    Simplifying expressions, substitution and solving one-step equations in a 40-minute 7th Grade 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 7th grade: what variables are, how to read and write expressions, substituting numbers for letters, and…

    Difficulty
    Level 2 · Standard
    Time
    20 min

All algebra worksheets, every grade →

Common questions

What do 7th Grade students learn about algebra?

Patterns, expressions, equations, functions and graphs. At 7th Grade, our resources focus on: understanding variables, 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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