Study Guide
Algebra Basics: Expressions
An introduction to algebra for Year 7: what pronumerals are, how to read and write expressions, substituting numbers for letters, and…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
WorksheetYear 7Level 3 · Challenge
Free Year 7 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 7 worksheet has 14 questions and comes with a full answer sheet showing the working for every question.
Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 7
- Subject
- Maths
- Topic
- Algebraic Expressions
- Difficulty
- Level 3 · Challenge
- Estimated time
- 15 minutes
- Curriculum
- Australian Curriculum
- Questions
- 14
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
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 7 Simplifying Expressions (Like Terms) Worksheet — Level 3
How to use this worksheet
- Print the PDF or complete it on screen. Write the student's name and date at the top.
- Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
- Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
- Record the score, celebrate what went well, then follow the "What's next" suggestion.
Common questions
Who is this worksheet for?
Year 7 students (typically ages 12–13) 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 7 Substitution Worksheet — Level 1.
Preview
Success TutoringWorksheetsYear 7 · Mathematics · Algebraic ExpressionsYear 7 Simplifying Expressions (Like Terms) Worksheet — Level 3
Name
Date
Score /
Collect the like terms. Only terms with exactly the same letter and power can be added.
1.Simplify: −2x − 2y2 + 5x − 4y2 (answer space)
2.Simplify: 3x − 4y + 7x − 2y (answer space)
3.Simplify: x + 2y2 + 9x + 2y2 (answer space)
4.Simplify: −x + 7y2 + 9x − 6y2 (answer space)
5.Simplify: x + 6y − x + 5y (answer space)
6.Simplify: 3x + 3y − 5x + 9y (answer space)
7.Simplify: −3x − y2 + 5x + 6y2 (answer space)
8.Simplify: −4x − 6y − 2x − 2y (answer space)
9.Simplify: 2x + 2y + 6x + y (answer space)
10.Simplify: 5x + 5y + 3x + 6y (answer space)
11.Simplify: −x + 8y2 − x + 5y2 (answer space)
12.Simplify: 5x + 2y2 + 4x + 9y2 (answer space)
Preview — the PDF contains the full resource and answer sheet.
More Year 7 algebraic expressions resources
- Worksheet
Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 1
Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This Year 7…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 14 questions
- Answers
- Answers included
- Worksheet
Year 7 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 Year 7…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 14 questions
- Answers
- Answers included
- Worksheet
Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 2
Collect like terms and simplify algebraic expressions. Expected-level practice for this year group. This Year 7 worksheet has 14 questions…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 14 questions
- Answers
- Answers included
- Worksheet
Year 7 Substitution Worksheet — Level 1
Substitute values into expressions and formulas and evaluate. Builds confidence with the core skill before adding complexity. This Year 7…
- Difficulty
- Level 1 · Easier
- Time
- 10 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 7 Substitution Worksheet — Level 2
Substitute values into expressions and formulas and evaluate. Expected-level practice for this year group. This Year 7 worksheet has 12…
- Difficulty
- Level 2 · Standard
- Time
- 10 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 7 Substitution Worksheet — Level 3
Substitute values into expressions and formulas and evaluate. A challenge set for students ready to stretch further. This Year 7 worksheet…
- Difficulty
- Level 3 · Challenge
- Time
- 10 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 7 Expanding Brackets Worksheet — Level 1
Expand single brackets, then binomial products. Builds confidence with the core skill before adding complexity. This Year 7 worksheet has…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
Algebraic Expressions in other year levels
- Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 1
Worksheet · Year 8 · Algebraic Expressions · Level 1 · Easier
- Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 2
Worksheet · Year 8 · Algebraic Expressions · Level 2 · Standard
- Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 1
Worksheet · Year 9 · Algebraic Expressions · Level 1 · Easier
- Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 2
Worksheet · Year 9 · Algebraic Expressions · Level 2 · Standard
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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.