Class 9 Math: Linear Equations in Two Variables Important Exam Questions

NexPro Tools Mathematics TeamJune 5, 20266 min read

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 9 Linear Equations in Two Variables to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

How many linear equations in x and y can be satisfied by x = 1 and y = 2?
  • Option 1: Only one
  • Option 2: Two
  • Option 3: Infinitely many
  • Option 4: Three

Solution Explanation & Steps: (c) Infinitely many

Question 2 (EASY)

Any solution of the linear equation 2x + 0y = 9 in two variables, is of the form
  • Option 1: 9 ,02 ( ) ( )( )
  • Option 2: 9 ,2 n( ) ( )( ) , n is a real number
  • Option 3: 9, 2n( ) ( )( ) , n is a real number
  • Option 4: 90, 2 ( ) ( )( )

Solution Explanation & Steps: (b) 9 ,2 n( ) ( )( ) , n is a real number

Question 3 (EASY)

If ΔACB ≅ ΔEDF, then which of the following equations is/are true? (I) AC = ED (II) ∠C = ∠F (III) AB = EF
  • Option 1: Only
  • Option 2:
  • Option 3:
  • Option 4: All of these

Solution Explanation & Steps: (b) (I) and (III) Since, ΔACB ≅ ΔEDF. ∴ AC = ED, CB = DF and AB = EF And ∠A = ∠E, ∠C = ∠D and ∠B = ∠F Therefore, equations (I) and (III) are true.

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.

📚 Class 9 Math Resource Hub for Linear Equations in Two Variables: • 🧮 Interactive Solver: Solve Linear Equations in Two Variables Problems - Verify steps in real-time. • 📝 Timed Practice Quiz: Take Linear Equations in Two Variables Online Quiz - Test your speed and concepts. • 📄 Printable Worksheet: Download Linear Equations in Two Variables PDF Worksheet - Interactive problems with answers. • 📐 Formula Sheet: View Linear Equations in Two Variables Key Equations - Complete revision references. • 🔄 Next Topic Guide: Introduction to Euclid's Geometry Study Notes • 🎓 Syllabus Overview: Class 9 Mathematics Portal - Access all chapter guides.