Linear Equations in Two Variables Test

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Linear Equations in Two Variables Test - 20

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Weekly Quiz Competition

Question 1
1 / -0

Cost of one apple is 3 times the cost of an orange. Write a linear equation for the statement.

A
$$\displaystyle y=3x$$

B
$$\displaystyle y=x$$

C
$$\displaystyle y=x+3$$

D
$$\displaystyle y=x-3$$

Solution

Cost of one apple = y
Cost of one orange = x
$$\displaystyle y=3x$$
Question 2
1 / -0

Fill in the blank:
An equation in the form ax + by + c = 0 is called ____________ equation.

A
Non-linear

B
Linear

C
Quadratic

D
Polynomial

Solution

An equation in the form $$ax + by + c = 0$$ is called linear equation.
The linear equation always forms a straight line when you graph them.
Hence, option B is correct.
Question 3
1 / -0

If we write $$\displaystyle 3x-7y=10$$ in form of $$\displaystyle ax+by+c=0,$$ then $$c=$$?

A
$$3$$

B
$$-10$$

C
$$7$$

D
$$10$$

Solution

$$3x-7y=10$$ can be written as $$3x-7y-10=0$$
Now comparing this with $$ax+by+c=0$$ we get,
$$a=3, b=-7,c=-10$$

Hence option $$C$$ s the correct answer
Question 4
1 / -0

Which of the following is a linear equation?

A
$$2x + y = x + x^{2}$$

B
$$5x = 6x + 3y$$

C
$$3x + x^{3} - 2y$$

D
$$4x - y = y^{2}$$

Solution

Linear equation do not have exponents, square roots.
So, here the linear equation is $$5x = 6x + 3y$$
Question 5
1 / -0

Cost of one apple is 3 times the cost of an orange. This is an example of linear equation in ..... variables.

A
$$0$$

B
$$1$$

C
$$2$$

D
$$3$$

Solution

Cost of one apple $$= y$$
Cost of one orange $$ = x$$
$$\displaystyle y=3x$$

Since we have two variables $$x$$ and $$y$$ in our equation, it is a linear equation in two variables.
Question 6
1 / -0

$$\displaystyle 4x+2y=16$$
Above equation is linear equation in how many variables?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$0$$

Solution

$$\displaystyle \because $$ There are two variables $$x$$ and $$y$$ in the linear equation so, it is a linear equation in $$2$$ variables.
Question 7
1 / -0

The cost of a notebook $$(y)$$ is twice that of a pen $$(x)$$.
Write a linear equation to represent this statement.

A
$$\displaystyle y=x+2$$

B
$$\displaystyle y=2x$$

C
$$\displaystyle y=x$$

D
$$\displaystyle y=x-2$$

Solution

Let cost of a notebook is $$y$$ and cost of a pen is $$x$$.
Therefore, according to the question,
it is said that cost of a notebook is twice that of a pen.
Thus, $$\displaystyle y=2x$$
Question 8
1 / -0

Consider the equation:
$$\displaystyle y+7x=3x-2y+28$$
How many variables are present in the linear equation?

A
One

B
Two

C
Three

D
Four

Solution

$$\displaystyle y+7x=3x-2y+28$$
$$\displaystyle y+7x-3x+2y=28$$
$$\displaystyle 4x+3y=28$$
Hence, the equation is in $$2$$ variables i.e, $$x$$ and $$y$$.
Question 9
1 / -0

In the given equation
$$\displaystyle a=\frac { 2 }{ 3 } b+5$$
It is linear equation in ....... variables.

A
$$0$$

B
1

C
2

D
3

Solution

There are 2 variables a and b.
Question 10
1 / -0

Father's age is $$10$$ more than twice age of his son. What is the number of variables if the statement is written in the form of linear equation?

A
One

B
Two

C
Multivariable

D
Non-linear

Solution

Let father's age is $$x$$.
Son's age is $$y$$
$$\displaystyle x=2y+10$$
$$\therefore$$ The equation is in two variable.

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Re-Attempt Weekly Quiz Competition

Linear Equations in Two Variables Test - 20

Result

Linear Equations in Two Variables Test - 20

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SHARING IS CARING

Question 1

$$\displaystyle y=3x$$

$$\displaystyle y=x$$

$$\displaystyle y=x+3$$

$$\displaystyle y=x-3$$

Solution

Question 2

Non-linear

Linear

Quadratic

Polynomial

Solution

Question 3

$$3$$

$$-10$$

$$7$$

$$10$$

Solution

Question 4

$$2x + y = x + x^{2}$$

$$5x = 6x + 3y$$

$$3x + x^{3} - 2y$$

$$4x - y = y^{2}$$

Solution

Question 5

$$0$$

$$1$$

$$2$$

$$3$$

Solution

Question 6

$$1$$

$$2$$

$$3$$

$$0$$

Solution

Question 7

$$\displaystyle y=x+2$$

$$\displaystyle y=2x$$

$$\displaystyle y=x$$

$$\displaystyle y=x-2$$

Solution

Question 8

One

Two

Three

Four

Solution

Question 9

$$0$$

1

2

3

Solution

Question 10

One

Two

Multivariable

Non-linear

Solution

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