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9th CBSE Ch.4 Linear Equations in Two Variables

Total questions: 20

Worksheet time: 21mins

Name
Class
Date
1.

The equation y = 3x + 5 has _____

a)

A unique solution

b)

Only two solutions

c)

Three solutions

d)

Infinitely many solutions

2.
If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____
a)
4
b)
5
c)
6
d)
2
3.
The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____
a)
(2 ,0)
b)
(0 ,3)
c)
(3 ,0)
d)
(0, 2)
4.
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____
a)
Changes
b)
Remains the same 
c)
Changes in case of multiplication only
d)
Changes in case of division only
5.

Is x = -3 vertical or horizontal?

a)

vertical

b)

horizontal

c)

neither

6.

The solution of equation x-2y = 4 is:

a)

a. (0,2)

b)

b. (2,0)

c)

c. (4,0)

d)

d. (1,1

7.

The graph of linear equation x + y = 2, cuts the y-axis at:

a)

a. (2,0)

b)

b. (0,2)

c)

c. (0,1)

d)

d. (1,1)

8.

Any point on the line x = y is of the form:

a)

a. (k, -k)

b)

b. (0, k)

c)

c. (k, 0)

d)

d. (k, k)

9.

Equation of the line parallel to x-axis and 6 units above the origin is:

a)

a) x = 6

b)

b) x = –6

c)

c)y = 6

d)

d)y = –6

10.

The graph of which of the following equations passes through the origin?

a)

(i) y = 2x + c

b)

(ii) y = 2x – c

c)

(iii) y = 2x

11.

The geometrical representation of a linear equation

a)

Straight line

b)

Curve

c)

Parabola

d)

Either (b) or (c)

12.
How can you tell if a point is a solution to a system?
a)
It makes the first equation true.
b)
The (x,y) coordinates satisfy both equations
c)
It makes logical sense
d)
It makes neither equation negative
13.

What is a Linear equation

a)

Equation with degree 1

b)

Equation with degree 3

c)

Equation with degree 7

d)

Equation with degree 2

14.

How many solutions does a Linear equation in two variable would have?

a)

Only one

b)

Two solutions

c)

Five solutions

d)

Infinity

15.

The general form of linear equation in two variable is

a)

ax+bx+c=0

b)

ax+by+c=1

c)

ax+bx+c=1

d)

ax+by+c=0

16.

The graph of x=3 is a line

a)

Parallel to the x-axis

b)

Parallel to y-axis

c)

Data not enough

17.

Find the value of a, if x=1, y=2 is a solution of 4x+8y=a

a)

a=0

b)

a=9

c)

a=16

d)

a=20

18.

The solution of equation x - 2y = 4 is

a)

(0,2)

b)

(2,0)

c)

(4,0)

d)

(1,1)

19.

Construct linear equation for the following statement:

Two numbers are in the ratio 5 : 7 and sum of the numbers is 120

a)

5x + 7x = 120

b)

5x - 7x =120

c)

x ⁄ 5 + x ⁄ 7 = 120

d)

None of the above

20.

If 2x + 4 = x - 5, then x = ______

a)

9

b)

-9

c)

1

d)

-1