Study Guide
Solving Linear Equations
Explains the balance method for solving equations: do the same thing to both sides using inverse operations. Builds from one-step…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
Topic Test8th GradeLevel 2 · Standard
Free 8th Grade Linear Equations Topic Test
Two-step equations, equations with parentheses and expanding parentheses in a 40-minute 8th Grade test with marks and worked solutions.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Grade
- 8th Grade
- Subject
- Math
- Topic
- Linear Equations
- Difficulty
- Level 2 · Standard
- Estimated time
- 40 minutes
- Curriculum
- Texas grade levels (TEKS)
- Questions
- 18
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practice
- using the distributive property
- collecting like terms
- working with negative terms
- solving two-step equations
- using inverse operations
- checking solutions
Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: 8th Grade Linear Equations 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?
8th Grade students (typically ages 13–14) working on linear equations. 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 18 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 8th Grade Slope and Linear Equations Worksheet — Level 1.
Preview
Success TutoringWorksheets8th Grade · Mathematics · Linear Equations8th Grade Linear Equations Topic Test
Name
Date
Score /
Time allowed: 40 minutes. Total marks: 30. Show your work — marks are given for method as well as answers.
Part A: Expanding Expressions (Distributive Property)
1.Expand: 5(4x − 4)[1 mark] (answer space)
2.Expand: 4(4x + 7)[1 mark] (answer space)
3.Expand: 5(6x − 8)[1 mark] (answer space)
4.Expand: 6(6x − 5)[1 mark] (answer space)
5.Expand: 6(5x + 4)[1 mark] (answer space)
6.Expand: −4(5x + 5)[1 mark] (answer space)
Part B: Solving Linear Equations
7.3x − 13 = −16[2 marks]
8.2x + 4 = 14[2 marks]
9.6x + 5 = 41[2 marks]
10.6x − 9 = −15[2 marks]
11.3x − 1 = −10[2 marks]
12.8x − 1 = 47[2 marks]
Preview — the PDF contains the full resource and answer sheet.
More 8th Grade linear equations resources
- Worksheet
8th 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
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- Time
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One-step, two-step and equations with parentheses or variables on both sides. A challenge set for students ready to stretch further. This…
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8th 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
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- Time
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8th 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
8th 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
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- Time
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- Questions
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- Answers
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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
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