Last Updated on August 18, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 7 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 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 4 Simple Equations. It is a part of Case Study Questions for CBSE Class 7 Maths Series.

Chapter | Simple Equations |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 7 |

Subject | Maths |

Useful for | Class 7 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 7 Maths Chapterwise Case Study |

### Case Study Questions on Simple Equations

**Questions**

**Passage 1: **

The teacher tells the class that the lowest marks obtained by a student in his class is half the highest marks plus 5. The lowest score is 45. What is the highest score ?

Q. 1. Find the marks which is 20 more than the lowest:

(a) 25

(b) 65

(c) 70

(d) None of these

** Difficulty Level:** Easy

Ans. Option (b) is correct.

Explanation: Given lowest marks is 45 and 20 more it is 45 + 20 = 65

Q. 2. Just to pass in the examination border line marks is just 12 less than the lowest marks obtained by the student in the class. Write the required passing marks.

(a) 56

(b) 40

(c) 33

(d) 57

** Difficulty Level:** Medium

Ans. Option (c) is correct.

Explanation:

Given passing marks = lowest marks â€“ 12 = 45 â€“ 12 = 33

Q. 3. If one student Aavya of another class who scored 9 marks more than the doubled of lowest marks of this class, find the aavyaâ€™s marks:

(a) 92

(b) 50

(c) 89

(d) 99

** Difficulty Level:** Medium

Ans. Option (d) is correct.

Explanation: Aavya score = 2 Ã— Lowest marks + 9

= 2(45) + 9

= 90 + 9

= 99

Q. 4. Find the highest marks.

** Difficulty Level:** Hard

Ans. 80

Explanation: let the highest marks be $x$ according to the question, lowest marks

$$

\begin{aligned}

& =\frac{1}{2} \text { (highest marks) }+5 \\

45 & =\frac{1}{2}(x)+5 \\

45-5 & =\frac{1}{2} x \text { [transposing } 5 \text { to LHS] } \\

40 & =\frac{1}{2} x \\

40 \times 2 & =x \text { [multiplying both sides by } 2] \\

80 & =x \\

x & =80

\end{aligned}

$$

### Also check

- Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
- Symmetry Class 7 Case Study Questions Maths Chapter 12
- Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
- Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
- Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
- Rational Numbers Class 7 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
- Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
- Lines and Angles Class 7 Case Study Questions Maths Chapter 5
- Simple Equations Class 7 Case Study Questions Maths Chapter 4
- Data Handling Class 7 Case Study Questions Maths Chapter 3
- Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
- IntegersÂ Class 7 Case Study Questions Maths Chapter 1

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

- Linear equation
- Solution of a linear equation
- Transposition

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

- An equation is a statement of equality which involves one or more literal numbers.
- The value of the variable which satisfies an equation is called the solution or the root of an equation.
- A term in an equation can be transposed from one side of an the sign of equality to another side by changing its sign.
- A number that divides a literal or another number on one side of an equation, when transposed multiplies the other side and viceversa.

A linear equation remains the same when the expression in the left and right are interchanged.

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### Frequently Asked Questions (FAQs) on Simple Equations Case Study

#### Q1: What are simple equations?

A1: Simple equations are mathematical statements that express equality between two expressions. They usually involve a variable (like x) and can be solved to find the value of the variable that makes the equation true.

#### Q2: How do you solve a simple equation?

A2: To solve a simple equation, you need to isolate the variable on one side of the equation. This can be done by performing the same mathematical operations on both sides of the equation, such as addition, subtraction, multiplication, or division.

#### Q3: Can simple equations have more than one solution?

A3: Simple equations usually have a single unique solution. However, certain types of equations, like identities, can have infinite solutions, but those are not typically covered under “simple equations” in Class 7.

#### Q4: Why is it important to learn simple equations?

A4: Learning simple equations is important because it forms the foundation for more advanced topics in algebra and mathematics. It helps in developing problem-solving skills and understanding how to work with variables and mathematical relationships.

#### Q5: What are some real-life applications of simple equations?

A5: Simple equations can be used in various real-life situations, such as calculating expenses, determining distances, solving for unknown quantities in recipes, and even in basic physics problems involving speed, distance, and time.

#### Q6: **What common mistakes should students avoid when solving simple equations?**

A6: Common mistakes include not performing the same operation on both sides of the equation, incorrectly combining like terms, and forgetting to change the sign when moving terms from one side of the equation to the other.

#### Q7: **What are some tips for mastering simple equations?**

A7: To master simple equations, students should focus on understanding the basic principles of balancing equations, practice regularly, and check their solutions by substituting the value back into the original equation to ensure it holds true.

#### Q8: How can students practice solving simple equations effectively?

A8: Students can practice effectively by solving a variety of problems, starting with simple ones and gradually moving to more complex equations. They can also use online resources, worksheets, and practice tests to reinforce their learning.

#### Q9: **Are there any online resources or tools available for practicing comparing quantities case study questions?**

A9: We provide case study questions for CBSE Class 8 Maths on ourÂ 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 visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.