Linear Equations in Two Variables Test

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Linear Equations in Two Variables Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following numbers represents the value of k, for which (2, – 2) is a solution for the linear equation 2kx + 2y = 4?

A
– 2

B
2

C
4

D
– 4

Solution

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

"Zoya and Riya have 16 toys in total". Which of the following linear equations represents this statement, where x represents the number of toys Zoya has and y represents the number of toys Riya has?

A
x – y = 16

B
y – x = 16

C
x + y = 16

D
4x – 4y = 16

Solution

Total number of toys with Zoya and Riya is 16.
If we suppose that Zoya has x toys and Riya has y toys, then the equation can be x + y = 16.
Question 3
1 / -0

Which of the following pairs of points does not lie on the graph of the linear equation 8y = 16?

A
(2, 1)

B
(1, 2)

C
(– 1, 2)

D
(2, 2)

Solution

The given equation is 8y = 16.
or y = 2
It is a line parallel to x-axis at y = 2.
Therefore, the point (2, 1) does not lie on it.
Question 4
1 / -0

Johny scored twice as many marks as Sunny did in a Mathematics quiz. Which of the following linear equations represents this statement (take 'x' as marks scored by Johny and 'y' as marks scored by Sunny)?

A
x - 2y = 2

B
x - 2y = 0

C
x + 2y = 5

D
y + 2x = 10

Solution

Let Johny's marks be x and Sunny's marks be y. Now, Johny's marks are twice that of Sunny's.
So, x = 2y.
x - 2y = 0
Question 5
1 / -0

Which of the following equations has the solution (– 5, – 2)?

A
7x – 14y = – 63

B
11x + 7y = 41

C
12x – 18y = – 96

D
13x – 8y = – 49

Solution

The given equation is 13x – 8y = – 49, and the solution is (– 5, – 2).
So, 13(– 5) – 8 (– 2) = – 49
– 65 + 16 = – 49
– 49 = – 49
Question 6
1 / -0

The cost of a ball pen is thrice the cost of a pencil. If the cost of a ball pen is 'x' and that of a pencil is 'y', then which of the following linear equations represents this statement?

A
x + y = 3

B
x - y = 3

C
x + 3y = 9

D
x = 3y

Solution

Let the cost of a ball pen be x and the cost of a pencil be y.
Then, according to question: x = 3y
Question 7
1 / -0

Which of the following ordered pairs represents a solution for the linear equation 4x - 3y = 1?

A
(1, 1)

B
(- 1, 1)

C
(2, 1)

D
(2, - 2)

Solution

The linear equation is 4x - 3y = 1, and the solution is (1, 1).
Hence, 4x1 - 3x1 = 1
4 - 3 = 1
1 = 1
Question 8
1 / -0

Rex's present age is 2 years more than Scott's present age. If 'x' is Rex's age and 'y' is Scott's age, then which of the following linear equations represents this statement?

A
2x + y = 2

B
x = 2y + 2

C
x = y + 2

D
x + y = 2

Solution

According to the question, Rex's age (x) = 2 years + Scott's age
Or, x = y + 2
Question 9
1 / -0

In the linear equation x - y = 4 if y = 2, which of the following options is the value of `x`?

A
2

B
3

C
4

D
6

Solution

In linear equation x - y = 4, if y = 2, then x - 2 = 4.
x = 6

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Re-Attempt Weekly Quiz Competition

Linear Equations in Two Variables Test - 6

Result

Linear Equations in Two Variables Test - 6

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SHARING IS CARING

Question 1

– 2

2

4

– 4

Solution

Question 2

x – y = 16

y – x = 16

x + y = 16

4x – 4y = 16

Solution

Question 3

(2, 1)

(1, 2)

(– 1, 2)

(2, 2)

Solution

Question 4

x - 2y = 2

x - 2y = 0

x + 2y = 5

y + 2x = 10

Solution

Question 5

7x – 14y = – 63

11x + 7y = 41

12x – 18y = – 96

13x – 8y = – 49

Solution

Question 6

x + y = 3

x - y = 3

x + 3y = 9

x = 3y

Solution

Question 7

(1, 1)

(- 1, 1)

(2, 1)

(2, - 2)

Solution

Question 8

2x + y = 2

x = 2y + 2

x = y + 2

x + y = 2

Solution

Question 9

2

3

4

6

Solution

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