Free Printable Linear Equations in TWO Variables

1.

NAME

4 lines

2.

SECTION

a)

A

b)

B

c)

C

d)

D

3.

Which of the following is linear equation ?

a)

$2x+5+x$

b)

$x^2-4x+9=0$

c)

$\frac{x}{3}+5=1$

d)

$6x-x^2-9=0$

4.

Find x if $4x+3=2x-5$

a)

$-4$

b)

4

c)

2

d)

$-2$

5.

Which one is first step to solve this $2y-7=\frac{y+3}{3}$

a)

$3\left(2y-7\right)=y+3$

b)

$6y+y=3+21$

c)

$6y-7=y+3$

d)

$2y-7=y+3$

6.

The sum of a number and 8 is 25 . frame equation

a)

$8x=25$

b)

$x+8=25$

c)

$x-8=25$

d)

$x=20$

7.

Solve : $\frac{2y+1}{3y-5}=0$

a)

6

b)

$-2$

c)

$\frac{-1}{2}$

d)

4

8.

Two numbers are in the ratio 5:3 . If they differ by 18 , what are the numbers

a)

9

b)

25, 15

c)

35 , 21

d)

45 , 27

9.

Check which value of x satisfy LHS and RHS :

2x − 1 = 14 − x

a)

x = 5

b)

x = 7

c)

x = $-1$

d)

x = $-5$

10.

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

a)

20 , 28

b)

30, 38

c)

4

d)

10, 24

11.

Which one of the following is variable

a)

3

b)

$\frac{4}{5}$

c)

0.9

d)

y

12.

Solve for y

$\frac{y}{3}-\frac{y}{7}=4$

a)

84

b)

21

c)

28

d)

16

13.

The equation y = 3x + 5 has _____

a)

A unique solution

b)

Only two solutions

c)

Three solutions

d)

Infinitely many solutions

14.

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

15.

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)

16.

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

17.

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

18.

Is x = -3 vertical or horizontal?

a)

vertical

b)

horizontal

c)

neither

19.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

20.

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

a)

a. (0,2)

b)

b. (2,0)

c)

c. (4,0)

d)

d. (1,1

21.

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)

22.

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)

23.

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

24.

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

25.

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

26.

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

a)

yes

b)

no

c)

may be, cannot judge.

d)

none of the above

27.

The geometrical representation of a linear equation

a)

Straight line

b)

Curve

c)

Parabola

d)

Either (b) or (c)

Linear Equations in TWO Variables

Total questions: 27

Worksheet time: 1hrs 1mins

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