अध्याय 4 · Class 9 UP Board · Free Worksheet PDF

Linear Equations in Two Variables Sums for Class 9 — Free UP Board Worksheet PDF with Answers

Download a free printable linear equations in two variables worksheet for Class 9 UP Board with 30 practice questions covering linear equations in two variables concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. UP Board-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 in Two Variables Sums for Class 9 — Practice Questions

Here are 8 sample linear equations in two variables sums from this Class 9 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.निम्नलिखित में से कौन सा दो चरों वाला रैखिक समीकरण है?
A.x2+3y=5x^2 + 3y = 5
B.2x+3y=72x + 3y = 7
C.x+y+z=10x + y + z = 10
D.xy+2x=4xy + 2x = 4

Difficulty: Easy

Q2.दो चरों वाले रैखिक समीकरण के कितने हल होते हैं?
A.एक अद्वितीय हल
B.कोई हल नहीं
C.केवल दो हल
D.अपरिमित रूप से अनेक हल

Difficulty: Easy

Q3.बिंदु (3,4)(3, 4) निम्नलिखित में से किस समीकरण के आलेख पर स्थित है?
A.x+y=6x + y = 6
B.x−y=1x - y = 1
C.2x+y=112x + y = 11
D.x+2y=11x + 2y = 11

Difficulty: Easy

Q4.उस रेखा का समीकरण क्या है जो y-अक्ष के समानांतर है और मूल बिंदु से 3 इकाई की दूरी पर xx-अक्ष की धनात्मक दिशा में स्थित है?
A.x=3x = 3
B.x=−3x = -3
C.y=3y = 3
D.y=−3y = -3

Difficulty: Easy

Q5.समीकरण y=2x−5y = 2x - 5 को ax+by+c=0ax + by + c = 0 के रूप में व्यक्त करने पर, a,b,ca, b, c के मान क्रमशः क्या होंगे?
A.a=2,b=1,c=5a=2, b=1, c=5
B.a=2,b=−1,c=−5a=2, b=-1, c=-5
C.a=2,b=−1,c=5a=2, b=-1, c=5
D.a=−2,b=1,c=5a=-2, b=1, c=5

Difficulty: Easy

Q6.एक नोटबुक की कीमत एक कलम की कीमत से दोगुनी है। इस कथन को दो चरों वाले रैखिक समीकरण के रूप में व्यक्त कीजिए। (मान लें कि नोटबुक की कीमत xx रुपये और कलम की कीमत yy रुपये है)।
A.x=2yx = 2y
B.y=2xy = 2x
C.x+y=2x + y = 2
D.x−y=2x - y = 2

Difficulty: Easy

Q7.xx-अक्ष का समीकरण क्या है?
A.x=0x = 0
B.y=0y = 0
C.x+y=0x + y = 0
D.x=1x = 1

Difficulty: Easy

Q8.समीकरण 2x=5y−72x = 5y - 7 को ax+by+c=0ax + by + c = 0 के रूप में व्यक्त कीजिए और a,b,ca, b, c के मान ज्ञात कीजिए।
A.a=2,b=−5,c=7a=2, b=-5, c=7
B.a=2,b=5,c=−7a=2, b=5, c=-7
C.a=2,b=−5,c=−7a=2, b=-5, c=-7
D.a=2,b=5,c=7a=2, b=5, c=7

Difficulty: Easy

Answer Key — Sample Questions+
Q1:$2x + 3y = 7$
Q2:अपरिमित रूप से अनेक हल
Q3:$x + 2y = 11$
Q4:$x = 3$
Q5:$a=2, b=-1, c=-5$
Q6:$x = 2y$
Q7:$y = 0$
Q8:$a=2, b=-5, c=7$

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

About This Worksheet

TopicLinear Equations in Two Variables
BoardUP Board
Class9
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 in two variables sums for Class 9?+
You can download a free Linear Equations in Two Variables PDF worksheet for Class 9 UP Board right here on SparkEd. The worksheet includes 30 practice questions (linear equations in two variables concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many linear equations in two variables questions are in this Class 9 worksheet?+
This SparkEd worksheet for Linear Equations in Two Variables Class 9 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover linear equations in two variables concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Linear Equations in Two Variables worksheet for Class 9 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 in two variables worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 9 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board exam pattern and difficulty level.
Can I print this Linear Equations in Two Variables 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.
Does this worksheet include linear equations in two variables word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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