Last Updated on September 17, 2024 by XAM CONTENT
Hello students, we are providing case study questions for class 8 maths. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 8 maths. In this article, you will find assertion reason questions for CBSE Class 8 Maths Chapter 2 Linear Equations in One Variable. It is a part of Assertion Reason Questions for CBSE Class 8 Maths Series.
| Chapter | Linear Equations in One Variable |
| Type of Questions | Assertion Reason 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 Assertion Reason |
Assertion Reason Questions on Linear Equations in One Variable
Questions:
Q. 1. Assertion (A): Standard form for linear equation in one variable is $a x+b=0$.
Reason(R): Standard form for linear equation in one variable is $a x+b=0$, where $x$ is variable and $a$, $b$ are arbitrary constants.
(a) Both A and R are true and R is the correct explanation of $A$
(b) Both A and R are true but R is not the correct explanation of $A$
(c) $A$ is true but $R$ is false
(d) $A$ is false but $R$ is true
Difficulty Level: Medium
Ans. Option (a) is correct
Also read: Linear Equations in One Variable Case Study Questions for Class 8
Q. 2. Assertion (A): The degree of the equation $x^2-2 x+$ $1=x^2-3$ is 2
Reason(R): Standard form for linear equation in one variable is $a x+b=0$, where $x$ is variable and $a$, $b$ are arbitrary constants.
(a) Both A and R are true and R is the correct explanation of $A$
(b) Both A and R are true but R is not the correct explanation of $A$
(c) $A$ is true but $R$ is false
(d) $A$ is false but $R$ is true
Difficulty Level: Medium
Ans. Option (d) is correct
Q. 3. Assertion: 3x + 4 = 10 + x is a linear equation.
Reason: 4 added to three times of a number is the number more than 10, it is a statement of the linear equation.
(a) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
(c) If Assertion is correct but Reason is incorrect.
(d) If Assertion is incorrect but Reason is correct.
Difficulty Level: Easy
Ans. Option (a) is correct
Q. 4. Assertion: 4x+x = 2 is a linear equation.
Reason: Solution of the equation is -2.
(a) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
(c) If Assertion is correct but Reason is incorrect.
(d) If Assertion is incorrect but Reason is correct.
Difficulty Level: Easy
Ans. Option (c) is correct
Q. 5. Assertion: The length and breadth of a rectangle are x + 4 and x respectively if area of the rectangle is 140. Length and breadth may will get 14cm and 10 cm respectively.
Reason: Area of rectangle Length x Breadth.
(a) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
(c) If Assertion is correct but Reason is incorrect.
(d) If Assertion is incorrect but Reason is correct.
Difficulty Level: Medium
Ans. Option (a) is correct
Also check
- Comparing Quantities Class 8 Assertion Reason Questions Maths Chapter 7
- Cube and Cube Roots Class 8 Assertion Reason Questions Maths Chapter 6
- Algebraic Expressions and Identities Class 8 Assertion Reason Questions Maths Chapter 8
- Square and Square Roots Class 8 Assertion Reason Questions Maths Chapter 5
- Data Handling Class 8 Assertion Reason Questions Maths Chapter 4
- Understanding Quadrilaterals Class 8 Assertion Reason Questions Maths Chapter 3
- Linear Equations in One Variable Class 8 Assertion Reason Questions Maths Chapter 2
- Rational Numbers Class 8 Assertion Reason Questions Maths Chapter 1
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Download eBooks for CBSE Class 8 Maths Linear Equations in One Variable
Topics from which assertion reason 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
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Linear Equations in One Variable Assertion Reason Questions Class 8
Q1: What are assertion reason questions?
A1: Assertion-reason questions consist of two statements: an assertion (A) and a reason (R). The task is to determine the correctness of both statements and the relationship between them. The options usually include:
(i) Both A and R are true, and R is the correct explanation of A.
(ii) Both A and R are true, but R is not the correct explanation of A.
(iii) A is true, but R is false.
(iv) A is false, but R is true. or A is false, and R is also false.
Q2: Why are assertion reason questions important in Maths?
A2: Students need to evaluate the logical relationship between the assertion and the reason. This practice strengthens their logical reasoning skills, which are essential in mathematics and other areas of study.
Q3: How can practicing assertion reason questions help students?
A3: Practicing assertion-reason questions can help students in several ways:
Improved Conceptual Understanding:Â It helps students to better understand the concepts by linking assertions with their reasons.
Enhanced Analytical Skills:Â It enhances analytical skills as students need to critically analyze the statements and their relationships.
Better Exam Preparation:Â These questions are asked in exams and practicing them can improve your performance.
Q4: What strategies should students use to answer assertion reason questions effectively?
A4: Students can use the following strategies:
Understand Each Statement Separately:Â Determine if each statement is true or false independently.
Analyze the Relationship:Â If both statements are true, check if the reason correctly explains the assertion.
Q5: What are common mistakes to avoid when answering Assertion Reason questions?
A5: Common mistakes include:
Not reading the statements carefully and missing key details.
Assuming the Reason explains the Assertion without checking the logical connection.
Confusing the order or relationship between the statements.
Overthinking and adding information not provided in the question.
Q6: What resources can help me practice Assertion Reason Questions for Class 8 Maths?
A6: Use study guides specifically designed for Assertion-Reason questions. Online educational platforms and reference books for Class 8 Maths also offer practice questions and explanations. xamcontent.com also provides assertion reason questions for cbse class 8 maths.
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: How do you solve a linear equation in one variable?
A8: 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.
Q9: Are there any online resources or tools available for practicing linear equations in one variable assertion reason questions?
A9: We provide assertion reason questions for CBSE Class 8 Maths on our website. Students can visit the website and practice sufficient assertion reason 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.
