Last Updated on July 31, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 8 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 8 maths. In this article, you will find case study questions for CBSE Class 8 Maths Chapter 2 Linear Equations in One Variable. It is a part of Case Study Questions for CBSE Class 8 Maths Series.

Chapter | Linear Equations in One Variable |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 8 |

Subject | Maths |

Useful for | Class 8 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 8 Maths Chapterwise Case Study |

### Case Study Questions on Linear Equations in One Variable

**Questions**

**Passage 1:** It is common that government revises fares from time to time based on various factors such as taxes, economy and inflation, for various vehicles like auto-rickshaw, taxis and radio cab etc. The auto and Taxi charge in a city comprise of fixed charge and the charge for the distance covered. Few situations are given below in the form questions. Find the correct option.

**Difficulty Level: **Medium

Q. 1. If the fixed charge in a city is ₹`x and charge per km is`

₹5 and total fare is ₹60 then find the linear equation for the journey of 10 km.

(a) x + 50 = 60

(b) x – 50 = 60

(c) x + 50 = 50

(d) None of these

Explanation: Fixed charge = x

Charge per km = 5 × 10 = 50

Linear equation = x + 50 = 60

Q. 2. In the above question, what is the value of fixed charge?

(a) ₹20

(b) ₹5

(c) ₹10

(d) ₹15

Explanation: Fixed charge = x

x +50 = 60

x = 60 – 50

x = ₹10

Q. 3. If in a city a person has to pay ₹110 for a journey of 15 km and fixed charge is ₹20 then what is the charge per km is?

(a) ₹12

(b) ₹6

(c) ₹8

(d) no fixed charge

Explanation: 20 + 15x = 110

15x = 110 – 20

x = 90/15

x = 6

Q. 4. If in a city fixed charge is double of the charge per km and a person paid ₹75 for a journey of 1 km, then the linear equation for the following situation is?

Sol. Let charge per km = xFixed charge = 2x

Linear equation for 1 km of journey = 2x + x = 75

3x = 75

x = ₹25

Q. 5. According to the given equation: 2x + 17 = 85, if ₹17 is the fixed charge and the total fare is ₹85 for a journey of 2km then what is the charge per kilometre?

Sol. 2x + 17 = 852x = 85 – 17

2x = 68

x = ₹34

Hence charge per km = ₹34

### Also check

- Square and Square Roots Class 8 Case Study Questions Maths Chapter 5
- Data Handling Class 8 Case Study Questions Maths Chapter 4
- Understanding Quadrilaterals Class 8 Case Study Questions Maths Chapter 3
- Linear Equations in One Variable Class 8 Case Study Questions Maths Chapter 2
- Rational Numbers Class 8 Case Study Questions Maths Chapter 1

### Download eBooks for CBSE Class 8 Maths Linear Equations in One Variable

### Topics from which case study questions may be asked

- Equation
- Linear Equation in One Variable
- Solving an Equation
- Solving Equation having variable on both sides
- Reducing Equation to Simpler Form

Case study questions from the above given topic may be asked.

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### Frequently Asked Questions (FAQs) on Linear Equations in One Variable Case Study

### Q1: What is an algebraic expression?

A1: A combination of constants and variables connected by some or all of the four fundamental operators such as +, –, × and ÷ is called algebraic expression.

### Q2: What is an equation?

A2: An equation is like a scale, while manipulating equations we have to keep the scale balanced by doing the same thing to both sides.

### Q3: What is linear equation in one variable?

A3: An equation is called linear equation if it has only one degree i.e., the highest power of the variable appearing in equation is 1. e.g., ax + b = 0

### Q4: What is solution of an equation?

A4: A number which satisfies an equation is called the solution of the equation.

### Q5: **How do you solve a linear equation in one variable?**

A5: To solve a linear equation in one variable, isolate the variable on one side of the equation by performing inverse operations (such as addition, subtraction, multiplication, or division) on both sides until the variable is alone.

### Q6: **What is the solution of a linear equation?**

A6: The solution of a linear equation is the value of the variable that satisfies the equation. It is the value that, when substituted into the equation, makes the equation true.

### Q7: **What does the term ‘one variable’ mean in linear equations?**

A7: ‘One variable’ means that the equation contains only a single unknown quantity, typically represented by the letter ‘x’. Other terms or constants may be present, but there is only one variable.

### Q8: **Can linear equations be represented graphically?**

A8: Yes, linear equations can be represented graphically as straight lines on the coordinate plane. The slope-intercept form (y = mx + b) is particularly useful for graphing linear equations.

### Q9: **Are there any online resources or tools available for practicing linear equations in one variable case study questions?**

A9: We provide case study questions for CBSE Class 8 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.