Linear Equations in Two Variables Test

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Linear Equations in Two Variables Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

Joy has 4 pens more than twice the number of pens Lex has. If 'x' represents the number of pens with Lex and 'y' represents the number of pens with Joy, then which of the following mathematical equations represents the situation?

A
y = 2x + 4

B
y + 4 = 2x

C
x = 2y + 4

D
None of these

Solution

Lex has 'x' pens and Joy has 'y' pens.
According to the problem, Joy has 4 pens more than twice the number of pens Lex has.

Thus, y = 4 + 2x or y = 2x + 4.
Question 2
1 / -0

In the linear equation x + 4y – 7 = 0 if x = 3, which of the following values represents the value of 'y'?

A
– 1

B
1

C
-4/7

D
7/4

Solution

In the equation x + 4y – 7 = 0, if x = 3, then 3 + 4y = 7.
4y = 3
y = 1
Question 3
1 / -0

Which of the following ordered pairs represents a solution for the linear equation x + 5y = 10?

A
(– 1, 4)

B
(– 1, 5)

C
(5, 1)

D
(1, 4)

Solution

The given equation is x + 5y = 10.
The solution is (5, 1).
So, 5 + 5 × 1 = 10
10 = 10
Question 4
1 / -0

Which of the following points does not lie on the graph of the linear equation x + 2y = 7

A
(7, 0)

B
(1, 3)

C
(3, 1)

D
(3, 2)

Solution

Putting x = 5, y = 1, we get
3 + 2(1) = 5
5 ≠ 7
Hence, (3, 1) doesn't lie on it.
Question 5
1 / -0

Which of the following equations has the solution (– 2, 1)?

A
3x – 15y = – 12

B
– 8x + 5y = 21

C
– 6x + 8y = 25

D
– 4x + 9y = 30

Solution

The solution is (– 2, 1).
The equation is
– 8x + 5y = 21
– 8x – 2 + 5 × 1 = 21
16 + 5 = 21
21 = 21
Question 6
1 / -0

Which of the following points lies on the graph of the linear equation x - y = 0?

A
(1, - 1)

B
(1, 1)

C
(2, - 2)

D
(- 2, 2)

Solution

The given equation is x - y = 0, and the solution is (1, 1).
Therefore, 1 - 1 = 0
0 = 0
Question 7
1 / -0

In the linear equation 20x – 3y = 34 if x = 2, which of the following options represents the value of 'y'?

A
34

B
– 3

C
2

D
20

Solution

The given linear equation is 20x – 3y = 34.
If x = 2, then
20 × 2 – 3y = 34
– 3y = 34 – 40 = – 6
y = 2

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Re-Attempt Weekly Quiz Competition

Linear Equations in Two Variables Test - 7

Result

Linear Equations in Two Variables Test - 7

Score

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Rank

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SHARING IS CARING

Question 1

y = 2x + 4

y + 4 = 2x

x = 2y + 4

None of these

Solution

Question 2

– 1

1

-4/7

7/4

Solution

Question 3

(– 1, 4)

(– 1, 5)

(5, 1)

(1, 4)

Solution

Question 4

(7, 0)

(1, 3)

(3, 1)

(3, 2)

Solution

Question 5

3x – 15y = – 12

– 8x + 5y = 21

– 6x + 8y = 25

– 4x + 9y = 30

Solution

Question 6

(1, - 1)

(1, 1)

(2, - 2)

(- 2, 2)

Solution

Question 7

34

– 3

2

20

Solution

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