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Linear Equations in Two Variables- Case Based Type Questions- 2 - Free


MCQ Practice Test & Solutions: Test: Linear Equations in Two Variables- Case Based Type Questions- 2 (10 Questions)

You can prepare effectively for Class 9 Class 9: Additional Practice with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Linear Equations in Two Variables- Case Based Type Questions- 2". These 10 questions have been designed by the experts with the latest curriculum of Class 9 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 1

The force applied on a body is directly proportional to the acceleration produced in the body. Assume x be acceleration produced in the body and y be the force. Take constant as 10.(S.I unit of force is Newton and S.I. unit of acceleration is m/sec2.

Q. Name the type of equation formed in part(A).

Detailed Solution: Question 1

y = cx is a linear equation as highest power of x is 1.

Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 2

The force applied on a body is directly proportional to the acceleration produced in the body. Assume x be acceleration produced in the body and y be the force. Take constant as 10.(S.I unit of force is Newton and S.I. unit of acceleration is m/sec2.

Q. Find acceleration produced in the body, if force applied is 10 newtons.

Detailed Solution: Question 2

Given,

Force applied = 10 newtons

c = 10

Since, y = cx

⇒ 10 = 10x

⇒ x = 1

Thus, acceleration produced = 1 m/sec2

Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 3

The force applied on a body is directly proportional to the acceleration produced in the body. Assume x be acceleration produced in the body and y be the force. Take constant as 10.(S.I unit of force is Newton and S.I. unit of acceleration is m/sec2.

Q. Write an equation to express the above situation.

Detailed Solution: Question 3

y is directly proportional to x.

⇒ y = cx where c is a constant.

Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 4

The force applied on a body is directly proportional to the acceleration produced in the body. Assume x be acceleration produced in the body and y be the force. Take constant as 10.(S.I unit of force is Newton and S.I. unit of acceleration is m/sec2.

Q. Equation formed on above situation has ______ solution(s).

Detailed Solution: Question 4

A linear equations has infinitely many solutions.

Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 5

The force applied on a body is directly proportional to the acceleration produced in the body. Assume x be acceleration produced in the body and y be the force. Take constant as 10.(S.I unit of force is Newton and S.I. unit of acceleration is m/sec2.

Q. Find force applied, if acceleration produced is 2.5m/sec2.

Detailed Solution: Question 5

Given,

acceleration produced = 2.5 m/sec2

y = cx,

y = 10 × 2.5

= 25 newtons

Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 6

Temperature is a measure of the warmth or coldness of an object or substance with reference to some standard value.

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius.

An equation that converts Fahrenheit to Celsius is:

On reading the above information, some queries come in Aman’s mind. Help him to resolve his following queries:

Answer the following :

Q. How many variables are there in the equation,

Detailed Solution: Question 6

There are two variables, C and F.

Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 7

Temperature is a measure of the warmth or coldness of an object or substance with reference to some standard value.

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius.

An equation that converts Fahrenheit to Celsius is:

On reading the above information, some queries come in Aman’s mind. Help him to resolve his following queries:

Answer the following :

Q. If the temperature is 95°F, what is the temperature in Celsius ?

Detailed Solution: Question 7

95 × 5 = 9C + 160

475 = 9C + 160

9C = 475 – 160

9C = 315

C = 35°

Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 8

Temperature is a measure of the warmth or coldness of an object or substance with reference to some standard value.

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius.

An equation that converts Fahrenheit to Celsius is:

On reading the above information, some queries come in Aman’s mind. Help him to resolve his following queries:

Answer the following :

Q. What is the type of equation, F =

Detailed Solution: Question 8

As its highest power is 2. Thus, it is a linear equation.

Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 9

Temperature is a measure of the warmth or coldness of an object or substance with reference to some standard value.

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius.

An equation that converts Fahrenheit to Celsius is:

On reading the above information, some queries come in Aman’s mind. Help him to resolve his following queries:

Answer the following :

Q. If the temperature is 30°C, what is the temperature in Fahrenheit ?

Detailed Solution: Question 9

= 54 + 32

= 86

Test: Linear Equations in Two Variables- Case Based Type Questions- 2 - Question 10

Temperature is a measure of the warmth or coldness of an object or substance with reference to some standard value.

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius.

An equation that converts Fahrenheit to Celsius is:

On reading the above information, some queries come in Aman’s mind. Help him to resolve his following queries:

Answer the following :

Q. What is a temperature which is numerically the same in both Fahrenheit and Celsius ?

Detailed Solution: Question 10

5x = 9x + 160

5x – 9x = 160

– 4x = 160

x = – 40

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