Question Paper
Class / Subject: Class 10 (SSC) · Mathematics - Algebra (बीजगणित)
Chapter: Chapter 1 — Chapter 1: Linear Equations in Two Variables
Time Allowed: 32 minutes
Max Marks: 16
1. What is the form of a linear equation in two variables? [1]
(A) ax+by=c
(B) ax²+bx+c
(C) ax+b
(D) a/x+b
2. How many solutions does a single linear equation in two variables have? [1]
(A) Infinitely many
(B) Exactly one
(C) Exactly two
(D) None
3. What is the substitution method? [1]
(A) Solving one variable, substituting into another equation
(B) Only graphing
(C) Only adding equations
(D) Ignoring one equation
4. What is the elimination method? [1]
(A) Adding/subtracting to eliminate one variable
(B) Only substituting
(C) Only graphing
(D) Ignoring variables
5. What does the elimination method help find? [1]
(A) The value of the remaining variable
(B) Nothing useful
(C) Only the equation's degree
(D) Only the y-intercept
6. What is the graphical solution to a system of two equations? [1]
(A) The point where the two lines intersect
(B) Any point on either line
(C) The origin always
(D) No solution exists
7. If two lines are parallel, how many solutions does the system have? [1]
(A) No solution
(B) Infinitely many solutions
(C) Exactly one solution
(D) Exactly two solutions
8. Why learn about linear equations in two variables? [1]
(A) To solve systems satisfying multiple conditions
(B) No reason
(C) It's not useful
(D) Only for tests
9. What is the form of a linear equation in two variables? [1]
(A) ax+by=c
(B) ax²+bx+c
(C) ax+b
(D) a/x+b
10. How many solutions does a single linear equation in two variables have? [1]
(A) Infinitely many
(B) Exactly one
(C) Exactly two
(D) None
11. What is the substitution method? [1]
(A) Solving one variable, substituting into another equation
(B) Only graphing
(C) Only adding equations
(D) Ignoring one equation
12. What is the elimination method? [1]
(A) Adding/subtracting to eliminate one variable
(B) Only substituting
(C) Only graphing
(D) Ignoring variables
13. What does the elimination method help find? [1]
(A) The value of the remaining variable
(B) Nothing useful
(C) Only the equation's degree
(D) Only the y-intercept
14. What is the graphical solution to a system of two equations? [1]
(A) The point where the two lines intersect
(B) Any point on either line
(C) The origin always
(D) No solution exists
15. If two lines are parallel, how many solutions does the system have? [1]
(A) No solution
(B) Infinitely many solutions
(C) Exactly one solution
(D) Exactly two solutions
16. Why learn about linear equations in two variables? [1]
(A) To solve systems satisfying multiple conditions
(B) No reason
(C) It's not useful
(D) Only for tests