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Class ix Maths ( linesr equation in two variables)

Total questions: 50

Worksheet time: 1hrs 22mins

Name
Class
Date
1.

The geometrical representation of a linear equation

a)

Straight line

b)

Curve

c)

Parabola

d)

Either (b) or (c)

2.

A linear equation in two variables

a)

Has a unique solution

b)

Has two solutions

c)

Has infinitely many solutions

d)

two or four solutions

3.

The reason that a degree one polynomial equation ax + by + c = 0 is called a linear equation is that

a)

It has infinitely many solution

b)

The geometrical representation is a straight line

c)

It has two variables

d)

Both a and b

4.
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
5.

Which of the following expressions is a linear expression in one variable?

a)

x2 + 1

b)

x + 2y

c)

x3

d)

7x + 5

6.

If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is.

a)

4

b)

6

c)

5

d)

2

7.

The equation x = 7, in two variables, can be written as

a)

1. x + 1. y = 7

b)

1. X + 0. y = 7

c)

0. x + 1. y = 7

d)

0.x + 0. Y = 7

8.

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

9.
The point of the form (a , -a) always lies on the line____
a)
x = a
b)
y = - a
c)
y = x
d)
x + y = 0
10.
The graph of the linear equation in two variables y = mx is _____
a)
a line parallel to x - axis 
b)
a line parallel to y - axis 
c)
a line passes through the origin
d)
not a straight line
11.

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

a)

(k, -k)

b)

(0, k)

c)

(k, 0)

d)

(k, k)

12.

Solution of the equation 3x – 5 = 2x + 1is

a)

5

b)

7

c)

4

d)

6

13.

If the point (3, 4) lies on the graph of the equation 3y = ax + 7, then the value of a is

a)

3/5

b)

5/3

c)

3/7

d)

4/6

14.

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

a)

(2,0)

b)

(0,2)

c)

(0,1)

d)

(1,1)

15.

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

a)

x = 6

b)

x = –6

c)

y = 6

d)

y = –6

16.

The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point

a)

(0, 3)

b)

(3, 0)

c)

(0, 2)

d)

(2, 0)

17.

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

a)

y = 2x + c

b)

y = 2x – c

c)

y = 2x

d)

x=2y

18.

Point (4,1) lies on the line

a)

x+2y= 5

b)

x+2y= -6

c)

x+2y= 6

d)

x+2y= 16

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 a pair of linear equations is consistent then their graph lines will be_______

a)

Parallel

b)

Always coincident.

c)

Always intersecting.

d)

Intersecting or coincident.

21.
The graph of the line x = 6 is a line___
a)
parallel to x -axis at a distance of 6 untis from origin
b)
parallel to y-axis at a distance of 6 units from the origin
c)
making an intercept 6 on the x-axis
d)
making an intercept 6 on both the axis
22.
Vertical or horizontal?
x = -3
a)
vertical 
b)
horizontal
c)
neither
23.
In slope intercept form (y=mx+b) what is the "m"?
a)
The y-intercept
b)
The x-intercept
c)
The slope (rate of change)
d)
A point
24.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
25.
What is the y-intercept for the given graph?
a)
-5
b)
5
c)
1
d)
-1
26.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
27.

Which of the following is not a linear equation?

a)

3x - 1 = - 2x

b)

xy - 3 = x

c)

x + 2y = 10

d)

(x-5) ⁄ 7 = (x-2) ⁄ 3

28.

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

a)

9

b)

-9

c)

1

d)

-1

29.

Write 'True' or 'False'

An algebraic statement becomes an equation when it equals something

a)

FALSE

b)

TRUE

30.

What is the intersection of the x- axis and y-axis in the coordinate plane?

a)

origin

b)

ordinates

c)

coordinates axes

d)

abscissa

31.

Which of these points lie on Quadrant III?

a)

(6,-3)

b)

(5,10)

c)

(-2,-8)

d)

(-7,4)

32.

On which quadrant does (-1, 5) lie?

a)

I

b)

II

c)

III

d)

IV

33.

The graph of x = 3 is a line:

a)

Parallel to the x-axis at a distance of 3 units from the origin

b)

Parallel to the y-axis at a distance of 3 units from the origin

c)

Makes an intercept 3 on the x-axis

d)

Makes an intercept 3 on the y-axis

34.

Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:

a)

4/3

b)

5/3

c)

3

d)

7/3

35.

The positive solutions of the equation ax + by + c = 0 always lie in the:

a)

a) 1st quadrant

b)

b) 2nd quadrant

c)

c) 3rd quadrant

d)

d) 4th quadrant

36.

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

37.

Is (3, 2) a solution of x + y = 6?

a)

yes

b)

no

c)

may be, cannot judge.

d)

none of the above

38.

The geometrical representation of a linear equation

a)

Straight line

b)

Curve

c)

Parabola

d)

Either (b) or (c)

39.
a)
7⁄4
b)
½
c)
2
d)
¾
40.

The value of x for which 3x-1and 2x+4are equal is

a)

-3

b)

1

c)

3

d)

5

41.

Solve x/2+1/3=-5/3

a)

x=4

b)

x=2

c)

x=-4

d)

x=-2

42.

Solve 2y-5=-3y+15

a)

y=5

b)

y=4

c)

y=-5

d)

y=-4

43.

The share of A when Rs 60 divided between A and B sothat B gets Rs 12 more than A is

a)

12

b)

36

c)

20

d)

24

44.

Arun's present age is thrice that of Tarun.4 years ago if tarun's age was x,what will be the age of Arun after 2 yr?

a)

2x+12

b)

3x+18

c)

2x+8

d)

3x+14

45.

Solve the linear equation.


4 ( x - 9 ) - ( x - 12 ) = 2x - 15

a)

x = 33

b)

x = 11

c)

x = 9

d)

x = 3

46.

Solve the linear equation.


12 - 5 ( x - 7 ) = 2x + 12

a)

x = 5

b)

x = -5

c)

x = 61 / 5

d)

x = 35 / 3

47.

Solve. 
 3x−4−5x=x+4+x3x-4-5x=x+4+x  

a)

 −4-4  

b)

 22  

c)

 44  

d)

 −2-2  

48.
A math worksheet took Jeremy 1 hour and 15 minutes to complete. Each numerical problem took three minutes to complete and each word problem took five minutes to complete.
If there were 10 numerical problems on the worksheet, how many word problems were there?
a)
9
b)
6
c)
7
d)
8
49.

: Any point on the----------is of the form (0, y)

(a)  

50.

John is two years older than Paula. Three times John's age plus four times Paula's age is 55 years. How old are John and Paula?

a)

John is 11 years old and Paula is 9 years old.

b)

John is 5 years old and Paula is 3 years old.

c)

John is 9 years old and Paula is 7 years old.

d)

John is 14 years old and Paula is 12 years old.

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