Free Printable 10 chp 3 Linear Equations in two variables

1.

If

\frac{x}{3}=\ \frac{16}{y}=\ 4

then x+y = ?

a)

16

b)

10

c)

18

d)

19

2.

If sum of two integers is 12 and their difference is 4 then the greater number is ....

a)

6

b)

9

c)

8

d)

7

3.

The age of sachin before 5 years was x years then his age after 4 years will be …..years

a)

x - y - 4

b)

x - y + 4

c)

y - x + 4

d)

x + y + 4

4.

The condition to have unique solution, for a pair of linear equation in two variables is ..

a)

$b_1c_2\ -\ b_2c_1\ne0$

b)

$a_1b_2\ -\ a_2b_1\ne0$

c)

$c_2a_1\ -\ c_1a_2\ne0$

d)

$c_1a_2\ -\ c_2a_1\ne0$

5.

Two digit number with unit’s digit x and ten’s digit is three times than x so digit is ….

a)

13x

b)

30x+5

c)

31x

d)

3x

6.

Equation $\frac{x}{2}-\ \frac{y}{3}\ =\ 1$ can be expressed in standard form as....

a)

3x - 2y = 1

b)

3x + 2y + 6 = 0

c)

2x - 3y - 6 = 0

d)

3x - 2y - 6 = 0

7.

The graph of pair linear equations 2x + y = 3 and 4x + 2y = 6 is …

a)

same line

b)

parallel lines

c)

lines intersecting in one point

d)

a ray

8.

If before three years sum of ages of father and son was 59 years, then before five years the sum of their ages would have been …

a)

69

b)

61

c)

55

d)

57

9.

To eliminate x from the equations x + y + 3x = 12→(1) and 8x + 3y = 17 →(2), equation (2) is to be multiplied by ….

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

8

d)

$3$

10.

1) For a pair of linear equations a₁x +b₁y + c₁ = 0 and a₂x +b₂y + c₂ = 0 has a unique solution, which of the following relation is true?

a)

$b_1c_2\ \ne c_1b_2$

b)

$a_1b_2\ \ne b_1a_2$

c)

$a_1b_2\ \ne a_2b_1$

d)

$c_1a_2\ \ne a_1c_2$

11.

Two lines x + 2y + 7 = 0 and 2x + ky + 18 = 0 do not intersect each other. Find value of k

a)

3

b)

2

c)

1

d)

4

12.

1) If 51x + 49y = 150 and 49x + 51y = 50 then obtain the value of x – y : x + y

a)

25:1

b)

25:2

c)

50:1

d)

1:25

13.

Among given linear pair of equations which pair has infinitely many solutions?

a)

2x + 4y = 8 and x+2y = − 4

b)

2x = 4y = 8 and 2x + 4y = 6

c)

2x + 4y = 8 and x + 2y = 4

d)

2x + 4y = 8 and x + 2y = 8

14.

If the system of equations 2x + 3y = 7 and (a+b)x + (2a – b)y = 21 has infinitely many solutions, then

a)

a = 1, b = 5

b)

a = 5, b = 1

c)

a = − 1, b = 5

d)

a = 5, b = − 1

15.

If a pair of linear equations in two variables is consistent, then the lines represented by two equations are..

a)

intersecting

b)

parallel

c)

always coincident

d)

intersecting or coincident

16.

If am $\ne$ bl, then system of equations, ax+ by = c, lx +my = n

a)

has a unique solution

b)

has no solution

c)

has infinitely many solutions

d)

may or may not have a solution

17.

The father's age is six times his son's age. Four years hence, the age of father will be four times his son. The present ages(in years) of the son and father are , respectively

a)

3 and 24

b)

4 and 24

c)

5 and 30

d)

6 and 36

18.

The sum of the digits of two digit number is 9. If 27 is added to it, the digits of the number gets reversed . The number is ..

a)

25

b)

72

c)

63

d)

36

19.

The pair of equations x = a and y = b graphically represents lines which are

a)

parallel

b)

intersecting at (b,a)

c)

coincident

d)

intersecting at (a,b)

20.

Vyoma has only Rs. 1 and Rs. 2 coins with her. If total number of coins that she has is 50 and the amount of money with her is Rs. 75, then number of Rs. 1 and Rs. 2 coins are respectively

a)

25 and 25

b)

15 and 35

c)

35 and 15

d)

35 and 20

10 chp 3 Linear Equations in two variables

Total questions: 20

Worksheet time: 20mins

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