Chapter 10 · Class 8 CBSE · Worksheet

Linear Equations Worksheet — Class 8 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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

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Sample Questions — Linear Equations

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

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

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About This Worksheet

Topic	Linear Equations
Board	CBSE
Class	8
Total Questions	30 (10 Easy + 10 Medium + 10 Hard)
Answer Key	Included
Price	Free

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Frequently Asked Questions

Where can I download a free Linear Equations worksheet for Class 8?+

You can download a free Linear Equations PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.

How many questions are in the Linear Equations worksheet?+

Each SparkEd worksheet for Linear Equations contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.

Does the Linear Equations worksheet include answers?+

Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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