Linear Equations in Two Variables Test

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Linear Equations in Two Variables Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following equations has the solution (– 1, – 1)?

A
5x + 4y = 7

B
3x – 8y = 3

C
5x – 3y = – 2

D
4x – 9y = 2

Solution

The solution (– 1, – 1) can be substituted in
5x – 3y = – 2
5(– 1) – 3 (– 1) = – 2
– 5 + 3 = – 2
– 2 = – 2
Thus, 5x – 3y = – 2 has the solution (– 1, – 1).
Question 2
1 / -0

Which of the following statements is correct?

A
The equations y = 7 and y = - 7 represent the same line.

B
The equations y = 4 and y = 3 represent two mutually perpendicular lines.

C
The equations y = 27 and y = 4 represent two parallel lines.

D
The equation 2y = 3 represents a line parallel to y-axis.

Solution

The equations y = 27 and y = 4 are both parallel to x-axis; hence they are parallel to each other.
Question 3
1 / -0

Which of the following numbers represents the value of k for which (1, – 1) is a solution for the linear equation kx + 2y = 1?

A
2

B
3

C
– 2

D
– 3

Solution

The given equation is kx + 2y = 1 and the solution is (1, –1).
Hence, k(1) + 2(– 1) = 1
k – 2 = 1
k = 3
Question 4
1 / -0

Which of the following ordered pairs represents the solution for the linear equation x + 2y = 1?

A
(1, – 3)

B
(2, – 2)

C
(1, – 1)

D
(3, – 1)

Solution

The given equation is x + 2y = 1 and one of the solutions is (3, – 1).
Or 3 + 2(– 1) = 1
3 – 2 = 1
1 = 1
Question 5
1 / -0

Which of the following numbers represents the value of p, for which (3, 4) is a solution for the linear equation px + 4y = 22?

A
2

B
11

C
3

D
-2

Solution

The given equation is px + 4y = 22 and the solution is (3, 4).
Hence, p(3) + 4(4) = 22
3p = 6
p = 2
Question 6
1 / -0

Which of the following ordered pairs represents a solution for the linear equation 3x - 2y = 2?

A
(0, 1)

B
(2, 2)

C
(1, - 1)

D
(2, - 1)

Solution

The given equation is 3x - 2y = 2, and the solution is (2, 2).
So, 3(2) - 2(2) = 2
6 - 4 = 2
2 = 2
Question 7
1 / -0

Which of the following numbers represents the value of k for which (2, 2) is a solution for the linear equation 3x – y = 3k + 1?

A
3

B
– 1

C
1

D
2

Solution

The given equation is 3x – y = 3k + 1 and the solution is (2, 2).
Therefore, 3(2) – 2 = 3k + 1
4 – 1 = 3k
3k = 3 ⇒ k = 1
Question 8
1 / -0

Which of the following points lies on the graph of the linear equation y = 5?

A
(5, 0)

B
(5, 1)

C
(5, – 1)

D
(– 1, 5)

Solution

Any point with its ordinate = 5 lies on the line y = 5.

So, (– 1, 5) lies on the graph of the linear equation y = 5.
Question 9
1 / -0

Which of the following numbers represents the value of k for which (– 1, – 1) is a solution for the linear equation 7x – 2ky = 1?

A
4

B
– 4

C
2

D
– 2

Solution

7x – 2ky = 1
Point ⇒ (– 1, – 1)
– 1 × 7 – 2k(– 1) = 1
– 7 + 2k = 1
2k = 8
⇒ k = 4
Question 10
1 / -0

Which of the following equations has the solution (– 3, 2)?

A
8x – y = – 14

B
5x – 3y = 20

C
9x – 4y = 18

D
7x – 2y = – 25

Solution

The given equation is 7x – 2y = – 25, and the solution is (– 3, 2).
7x (– 3) – (2 × 2) = – 25
– 21 – 4 = – 25
– 25 = – 25

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Re-Attempt Weekly Quiz Competition

Linear Equations in Two Variables Test - 5

Result

Linear Equations in Two Variables Test - 5

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SHARING IS CARING

Question 1

5x + 4y = 7

3x – 8y = 3

5x – 3y = – 2

4x – 9y = 2

Solution

Question 2

The equations y = 7 and y = - 7 represent the same line.

The equations y = 4 and y = 3 represent two mutually perpendicular lines.

The equations y = 27 and y = 4 represent two parallel lines.

The equation 2y = 3 represents a line parallel to y-axis.

Solution

Question 3

2

3

– 2

– 3

Solution

Question 4

(1, – 3)

(2, – 2)

(1, – 1)

(3, – 1)

Solution

Question 5

2

11

3

-2

Solution

Question 6

(0, 1)

(2, 2)

(1, - 1)

(2, - 1)

Solution

Question 7

3

– 1

1

2

Solution

Question 8

(5, 0)

(5, 1)

(5, – 1)

(– 1, 5)

Solution

Question 9

4

– 4

2

– 2

Solution

Question 10

8x – y = – 14

5x – 3y = 20

9x – 4y = 18

7x – 2y = – 25

Solution

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