wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Pair of linear equation in two variables class X

Total questions: 14

Worksheet time: 15mins

Name
Class
Date
1.

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

2.

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

a)

Only one

b)

Two solutions

c)

Five solutions

d)

Infinity

3.

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

4.

Find the solutions of x + 2y = 6
[ more than one option ]

a)

(2,2)

b)

(0,3)

c)

(5,4)

d)

(4,1)

e)

(3,2)

5.
Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are
a)
intersecting at exactly one point
b)
intersecting at exactly two points.
c)
coincident. 
d)
 parallel.
6.
What is the solution(s) for the following intersection of two lines? 
a)
(-1,-1)
b)
(-1,1)
c)
(1, 1)
d)
(1, -1)
7.
Solve the Simultaneous Equations:
x + y = 5
x - y = 1
a)
x=2, y=3
b)
x=3, y=2
c)
x=3, y=-2
d)
x=-3, y=2
8.

Solve and find the value of k for the following simultaneous equations:


3h − k = 2

2h + k = 8

a)

2

b)

4

c)

7

d)

10

9.

On his notes on linear equation in two variables, Ram found an equation

2𝑥 + 3𝑦 - 10 = 0. If you were Ram, how would you describe the equation according to its form?

a)

It has constant

b)

It has variables

c)

It is in standard form

d)

It is in slope-intercept form

10.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
-7x + 2y = 9
d)
3x + 2 = y
11.
The graph of ax + by + c = 0 is _____
a)
A straight line parallel to x - axis
b)
A straight line parallel to y - axis 
c)
A general straight line
d)
A line in the 2nd and 3rd quadrant
12.

Write an equation in Standard Form. A store sells t-shirts for Rs. 12 each and sweatshirts for Rs. 15 each. You plan to spend Rs. 120 on t-shirts and sweatshirts.

a)
2x + 5y = 120
b)
12x + 15y = 120
c)
12 + 15y = 2x
d)
12x + 15 = 120
13.

If we multiply or divide both side of a linear equations 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

14.

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)