Study Guide
Algebra Basics: Expressions
An introduction to algebra for Year 8: what pronumerals are, how to read and write expressions, substituting numbers for letters, and…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
Extra practice for Year 8 Substitution Worksheet — Level 3: the same skill with fresh questions.
WorksheetYear 8Level 3 · Challenge
Free Year 8 Substitution Worksheet — Level 3 — Practice Set 3
Practice Set 3 for Year 8 Substitution Worksheet — Level 3: the same skill and level with a fresh set of questions and a full answer sheet.
More practice: Set 1 · Practice Set 2 · Practice Set 4 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 8
- Subject
- Maths
- Topic
- Algebraic Expressions
- Difficulty
- Level 3 · Challenge
- Estimated time
- 10 minutes
- Curriculum
- New Zealand Curriculum
- Questions
- 12
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practise
- substituting values into expressions
- evaluating expressions with negative numbers
- following the order of operations
Curriculum: New Zealand Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: Year 8 Substitution Worksheet — Level 3 — Practice Set 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 8 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 10 minutes for 12 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 Expanding Brackets Worksheet — Level 1.
Preview
Success TutoringWorksheetsYear 8 · Mathematics · Algebraic ExpressionsYear 8 Substitution Worksheet — Level 3 — Practice Set 3
Name
Date
Score /
Replace the letter with the number, then calculate. Use brackets for negative values.
1.Find the value of 4x + 3 when x = 5
2.If x = −1 and y = 1, find the value of 5x2 + 7y
3.If x = −2 and y = 2, find the value of 9x2 − 7y
4.Find the value of −x + 7 when x = −4
5.If x = −4 and y = −3, find the value of −2x2 + 8y
6.Find the value of 9x − 7 when x = 3
7.If x = 9 and y = −3, find the value of 6x2 + 2y
8.If x = −1 and y = −1, find the value of 6x2 − 3y
9.If x = 8 and y = −2, find the value of 9x2 + 9y
10.If x = −4 and y = −4, find the value of 5x2 + 5y
11.Find the value of 8x + 7 when x = 5
12.Find the value of −3x − 2 when x = 6
Preview — the PDF contains the full resource and answer sheet.
More Year 8 algebraic expressions resources
- Worksheet
Year 8 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 8…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 14 questions
- Answers
- Answers included
- Worksheet
Year 8 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 8…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 14 questions
- Answers
- Answers included
- 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 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…
- Difficulty
- Level 3 · Challenge
- Time
- 15 min
- Questions
- 14 questions
- Answers
- Answers included
- Worksheet
Year 8 Substitution Worksheet — Level 1
Substitute values into expressions and formulas and evaluate. Builds confidence with the core skill before adding complexity. This Year 8…
- Difficulty
- Level 1 · Easier
- Time
- 10 min
- Questions
- 12 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 Substitution Worksheet — Level 3
Substitute values into expressions and formulas and evaluate. A challenge set for students ready to stretch further. This Year 8 worksheet…
- Difficulty
- Level 3 · Challenge
- Time
- 10 min
- Questions
- 12 questions
- Answers
- Answers included
Algebraic Expressions in other year levels
- 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
- Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 1
Worksheet · Year 10 · Algebraic Expressions · Level 1 · Easier
- Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 2
Worksheet · Year 10 · Algebraic Expressions · Level 2 · Standard
Was this resource helpful?
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.