Linear Equations in Two Variables Test

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Linear Equations in Two Variables Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following is a linear equation in one variable?

A
3x² + 2x + 1 = 0

B
2x + 3y + 1 = 0

C
3x + 1 = 0

D
2x² + 1 = 0

Solution

3x + 1 = 0
The degree of the above equation is one and there is only one variable.
Question 2
1 / -0

Which of the following options is the standard form of the linear equation – 3y + 2x – 5 = 0?

A
– 3y – 5 – 2x = 0

B
2x – 3y – 5 = 0

C
2x – 5 – 3y = 0

D
– 5 + 2x – 3y = 0

Solution

The standard form of a linear equation is ax + by + c = 0.
Question 3
1 / -0

Which of the following is a linear expression in two variables?

A
y²+ 2

B
x² + 3x + y

C
x² + x + 2

D
5x + y + 3

Solution

In linear expression, the degree of the polynomial is one and there is only one variable.
Question 4
1 / -0

If x + 6y = – 6 when x = – 1, which of the following satisfies the value of y?

A
-5/6

B
-1/6

C
5/6

D
1/6

Solution

Let p(x) = x + 6y = – 6
At x = – 1,
p(– 1) =
(- 1) + 6y = - 6
6 y = - 6 + 1

= -5/6
Question 5
1 / -0

By comparing the linear equation - 5y + 2x + 8 = 0 with ax + by + c = 0, find the value of b.

A
2

B
-5

C
8

D
5

Solution

Comparing - 5y + 2x + 8 = 0 with ax + by + c = 0, we have b = -5.
Question 6
1 / -0

Which of the following equations is not a linear equation in one variable?

A
x + 3y = 5

B
x = 4

C
2x = 9

D
3y = 28

Solution

The linear equation x + 3y = 5 is in two variables `x` and `y`. So, this equation is not in one variable.

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Re-Attempt Weekly Quiz Competition

Linear Equations in Two Variables Test - 2

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Linear Equations in Two Variables Test - 2

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Question 1

3x2 + 2x + 1 = 0

2x + 3y + 1 = 0

3x + 1 = 0

2x2 + 1 = 0

Solution

Question 2

– 3y – 5 – 2x = 0

2x – 3y – 5 = 0

2x – 5 – 3y = 0

– 5 + 2x – 3y = 0

Solution

Question 3

y2 + 2

x2 + 3x + y

x2 + x + 2

5x + y + 3

Solution

Question 4

-5/6

-1/6

5/6

1/6

Solution

Question 5

2

-5

8

5

Solution

Question 6

x + 3y = 5

x = 4

2x = 9

3y = 28

Solution

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3x² + 2x + 1 = 0

2x² + 1 = 0

y²+ 2

x² + 3x + y

x² + x + 2