Vidaara.orgClass 9 · Mathematics
CodeVID-M09-04-LEQ-01
Linear Equations in Two Variables — Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
A linear equation in two variables is:
- A.$ax+by+c=0$
- B.$ax^2+bx+c=0$
- C.$ax+b=0$
- D.$\tfrac1x+y=0$
2.
The degree of such an equation is:
- A.$0$
- B.$1$
- C.$2$
- D.$3$
3.
A solution is a pair $(x,y)$ that:
- A.makes it false
- B.satisfies it
- C.has $x=y$
- D.is on the y-axis
4.
The number of solutions is:
- A.one
- B.two
- C.infinitely many
- D.none
5.
Is $(3,0)$ a solution of $2x+3y=6$?
- A.Yes
- B.No
- C.only if $x=0$
- D.cannot tell
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Is $(1,1)$ a solution of $x+y=2$?
7.
Write $2x=5$ in the form $ax+by+c=0$.
8.
Find $y$ when $x=0$ in $x+y=4$.
9.
How many solutions does $x+y=5$ have?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find two solutions of $x+y=7$.
11.
Express $3x+4y=12$ with $y$ in terms of $x$.
12.
Check whether $(2,3)$ satisfies $2x-y=1$.
13.
Write a linear equation in two variables for which $(1,2)$ is a solution.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Find four solutions of $2x+y=7$.
15.
If $(2,1)$ is a solution of $2x+ky=7$, find $k$.
Answer Key
Section A — Multiple Choice Questions
- (A) $ax+by+c=0$
- (B) $1$
- (B) satisfies it
- (C) infinitely many
- (A) Yes
Section B — Short Answer (2 marks)
- Yes.
- $2x+0y-5=0$.
- $4$.
- Infinitely many.
Section C — Short Answer (3 marks)
- e.g. $(0,7)$ and $(3,4)$.
- $y=\tfrac{12-3x}{4}$.
- Yes ($4-3=1$).
- e.g. $x+y=3$.
Section D — Long Answer (5 marks)
- $(0,7),(1,5),(2,3),(3,1)$.
- $k=3$.
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