Chapter 10 · Class 8 CBSE · Free Worksheet PDF

Linear Equations Sums for Class 8 — Free CBSE Worksheet PDF with Answers

Download a free printable linear equations worksheet for Class 8 CBSE with 30 practice questions covering solving linear equations in one variable, word problems, and verification of solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Linear Equations Sums for Class 8 — Practice Questions

Here are 8 sample linear equations sums from this Class 8 CBSE worksheet. Download the full PDF for all 30 questions with answers.

Q1.Which of the following expressions is NOT a linear equation in one variable?
A.2x + 5 = 7
B.3y - 1 = y + 4
C.z/2 + 3 = 10
D.p² - 4 = 0

Difficulty: Easy

Q2.Ravi was solving the equation 5x + 3 = 2x - 6. His first step was 5x - 2x = -6 + 3. What mistake did he make?
A.He should have added 2x to both sides.
B.He should have subtracted 3 from -6.
C.When transposing +3 to the right side, it should become -3.
D.When transposing 2x to the left side, it should become +2x.

Difficulty: Easy

Q3.If 7 is added to five times a number, the result is the same as 10 added to three times the same number. What is the number?
A.-3/2
B.3/2
C.3
D.-2/3

Difficulty: Easy

Q4.Which of the following statements is TRUE about linear equations?
A.Adding a non-zero number to one side of an equation does not change the solution.
B.Multiplying both sides of an equation by zero changes the equation but not the solution.
C.Dividing both sides of an equation by the same non-zero number maintains the equality.
D.Subtracting different numbers from both sides of an equation maintains the equality.

Difficulty: Easy

Q5.Solve for x: 3(x - 2) + 5 = 2x - 1
A.x = 2
B.x = 0
C.x = -2
D.x = -1

Difficulty: Easy

Q6.If x = -4 is the solution to an equation, which of the following equations is NOT satisfied by x = -4?
A.3x + 1 = x - 7
B.2(x + 5) = x + 6
C.x/2 - 1 = x - 1
D.5x + 10 = 2x - 2

Difficulty: Easy

Q7.The present age of Ram is twice the present age of his son. If Ram's age 5 years ago was three times his son's age at that time, what is Ram's present age?
A.20 years
B.25 years
C.30 years
D.35 years

Difficulty: Easy

Q8.Consider the equation x + 5 = 12. If we subtract 5 from the left side, what must we do to the right side to maintain the equality?
A.Add 5
B.Subtract 5
C.Multiply by 5
D.Divide by 5

Difficulty: Easy

Answer Key — Sample Questions+
Q1:p² - 4 = 0
Q2:When transposing +3 to the right side, it should become -3.
Q3:3/2
Q4:Dividing both sides of an equation by the same non-zero number maintains the equality.
Q5:x = 0
Q6:x/2 - 1 = x - 1
Q7:20 years
Q8:Subtract 5

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicLinear Equations
BoardCBSE
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free linear equations sums for Class 8?+
You can download a free Linear Equations PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 practice questions (solving linear equations in one variable, word problems, and verification of solutions) at easy, medium, and hard levels with a complete answer key.
How many linear equations questions are in this Class 8 worksheet?+
This SparkEd worksheet for Linear Equations Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover solving linear equations in one variable, word problems, and verification of solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Linear Equations worksheet for Class 8 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this linear equations worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 8 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Linear Equations worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.

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