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WorksheetYear 8Level 3 · Challenge

Free 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 questions and comes with a full answer sheet showing the working for every question.

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Year
Year 8
Subject
Mathematics
Topic
Algebraic Expressions
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
Australian Curriculum
Questions
14
Answers
Included, with working
Format
PDF (A4) + print

Students will practise

  • identifying like terms
  • simplifying expressions by collecting like terms
  • working with negative coefficients

Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

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

  1. 1Year 8 Substitution Worksheet — Level 2
  2. 2Year 8 Expanding Brackets Worksheet — Level 1
  3. 3Year 8 Expanding Brackets Worksheet — Level 1 (Set 2)
  4. 4Year 8 Solving Linear Equations Worksheet — Level 2

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 8 students (typically ages 13–14) working on algebraic expressions. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 14 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try Year 8 Substitution Worksheet — Level 2.

Preview

Year 8 · Mathematics · Algebraic Expressions

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

Success Tutoring

Student name:

Date:

Score: /

Collect the like terms. Only terms with exactly the same letter and power can be added.

1.Simplify: 4x + 3y2 + 8x + 3y2
2.Simplify: −2x − 6y + 2x + 8y
3.Simplify: x + 2y2 + 6x + 5y2
4.Simplify: 4x − 4y + 5x + 4y
5.Simplify: −3x + 9y2 + 6x − 3y2
6.Simplify: 5x + y + 9x − 5y
7.Simplify: −6x − y2 − 5x + 4y2
8.Simplify: 5x + 4y + 5x − 3y
9.Simplify: −x − 4y − 5x − 5y
10.Simplify: 7x − 5y + 7x − 3y
11.Simplify: 2x + 6y2 − 3x + 9y2
12.Simplify: 4x − 2y2 − 3x − 5y2
13.Simplify: 2x + 9y2 + 6x + 9y2
14.Simplify: −4x − 2y2 + 9x + 9y2
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Preview — the PDF contains the full resource and 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 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

Algebraic Expressions in other year levels

About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.