Free Year 7 Introduction to Algebra Topic Test
Simplifying expressions, substitution and solving one-step equations in a 40-minute Year 7 algebra test with marks and worked solutions.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 7
- Subject
- Mathematics
- Topic
- Algebra
- Difficulty
- Level 2 · Standard
- Estimated time
- 40 minutes
- Curriculum
- Australian Curriculum
- Questions
- 22
- Answers
- Included, with working
- Format
- PDF (A4) + print
Students will practise
- identifying like terms
- simplifying expressions by collecting like terms
- working with negative coefficients
- substituting values into expressions
- evaluating expressions with negative numbers
- following the order of operations
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 Introduction to Algebra Topic Test
How to use this topic test
- 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 topic test for?
Year 7 students (typically ages 12–13) working on algebra. It is pitched at level 2 · standard.
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 40 minutes for 22 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 Area and Perimeter Worksheet — Level 3.
Preview
Year 7 · Mathematics · Algebra
Year 7 Introduction to Algebra Topic Test
Student name:
Date:
Score: /
Time allowed: 40 minutes. Total marks: 36. Show your working — marks are given for method as well as answers.
Part A — Simplifying Expressions (Like Terms)
Part B — Substitution
Part C — Solving Linear Equations
Preview — the PDF contains the full resource and answer sheet.
Algebra in other year levels
- Year 8 Linear Equations Topic Test
Topic Test · Year 8 · Linear Equations · Level 2 · Standard
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.