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Case Study Questions for Class 8 Maths

Case Study Questions for Class 8 Maths

Table of Contents

Here in this article, we are providing case study questions for class 8 maths.

Maths Class 8 Chapter List

Latest chapter list (2023-24).

Chapter 1 Rational Numbers Chapter 2 Linear Equations in One Variable Chapter 3 Understanding Quadrilaterals Chapter 4 Data Handling Chapter 5 Squares and Square Roots Chapter 6 Cubes and Cube Roots Chapter 7 Comparing Quantities Chapter 8 Algebraic Expressions and Identities Chapter 9 Mensuration Chapter 10 Exponents and Powers Chapter 11 Direct and Indirect proportions Chapter 12 Factorisation Chapter 13 Introduction to Graphs

Old Chapter List

Chapter 1 Rational Numbers Chapter 2 Linear Equations in One Variable Chapter 3 Understanding Quadrilaterals Chapter 4 Practical Geometry Chapter 5 Data Handling Chapter 6 Squares and Square Roots Chapter 7 Cubes and Cube Roots Chapter 8 Comparing Quantities Chapter 9 Algebraic Expressions and Identities Chapter 10 Visualising Solid Shapes Chapter 11 Mensuration Chapter 12 Exponents and Powers Chapter 13 Direct and Indirect proportions Chapter 14 Factorisation Chapter 15 Introduction to Graphs Chapter 16 Playing with Numbers

Tips for Answering Case Study Questions for Class 8 Maths in Exam

Case Study Questions for Class 8 Maths

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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Unit 2: Linear equations in one variable

Solving equations with variable on one side.

  • Worked example: two-step equations (Opens a modal)
  • Equation with variables on both sides: fractions (Opens a modal)
  • Two-step equations Get 5 of 7 questions to level up!
  • Equations with variables on both sides: decimals & fractions Get 3 of 4 questions to level up!

Solving equations with variables on both sides

  • Equations with parentheses (Opens a modal)
  • Equations with variables on both sides Get 3 of 4 questions to level up!
  • Equations with parentheses: decimals & fractions Get 3 of 4 questions to level up!

Equations reducible to linear form

  • No videos or articles available in this lesson
  • Solving equations reducible to linear form Get 3 of 4 questions to level up!

Linear equations word problems

  • Two-step equation word problem: garden (Opens a modal)
  • Sums of consecutive integers (Opens a modal)
  • Two-step equation word problem: oranges (Opens a modal)
  • Word problems linear equations (basic) Get 3 of 4 questions to level up!
  • Sums of consecutive integers Get 3 of 4 questions to level up!
  • Linear equations word problems (advanced) Get 3 of 4 questions to level up!
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Chapter 2 Class 8 Linear Equations in One Variable

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Updated for new NCERT - 2023-24 Book.

Get NCERT Solutions of all Exercise Questions and Examples of Chapter 2 Class 8 Linear Equations in One Variable free at Teachoo. Answers to each and every question with detailed explanation for your understanding. Best answers guaranteed!

We studied Equations and Expressions in Algebra ( Chapter 9 Class 8 ). Equation has an = sign, expression does not have it

In this chapter, we will learn

  • What is an Equation 
  • What is a Linear Equation
  • What is a Linear Equation in one variable
  • Solving Linear Equations - by taking variables on one side, numbers on the side
  • Making Equations from Statements , and then Solving.
  • Perimeter and Area Questions
  • Fraction questions - where we need to find Numerator or Denominator
  • Cost, Sale, Profit Questions
  • Questions where we have Consecutive Numbers
  • Questions involving Consecutive Multiples
  • Coins and Currency Notes Questions
  • Questions where numbers are added or subtracted
  • Questions where a Two Digit number is given, and we reverse its digits
  • Questions involving Age

Click on an exercise or topic link below to start doing the chapter.

Note: Important Questions of this chapter have been marked. When you click on a link, at the bottom of the page there is a list with arrows. In that list, you can find all the questions of that exercise and find Important Questions marked as blue.

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  • Class 8 Maths MCQs
  • Chapter 2 Linear Equations in One Variable

Class 8 Maths Chapter 2 Linear Equations in One Variable MCQs

Class 8 Maths Chapter 2  Linear Equations in One Variable MCQs (Questions and Answers) are available online here for students. These objective questions are designed as per the CBSE board syllabus (2022-2023) and NCERT guidelines. The chapter-wise questions are provided here for students to make them understand each concept and help to score better marks in exams. Also, learn important questions for class 8 Maths here at BYJU’S.

case study questions for class 8 maths linear equations

Practice more and test your skills on Class 8 Maths Chapter 2 Linear Equations in One Variable MCQs with the given PDF here.

MCQs on Class 8 Linear Equations in One Variable

Multiple choice questions (MCQs) are available for Class 8 Linear Equations in One Variable with each problem consisting of four options, out of which one is the correct answer. Students have to solve the problem and select the correct answer. Verify your solution with the answers provided here.

1. Which of the following is not a linear equation in one variable?

A. 33z+5 = 0

B. 33(x+y) = 0

C. 33x+5 = 0

D. 33y+5 = 0

Explanation: In 33(x+y) = 0, x and y are two variables.

2. The solution of 2x-3=7 is:

Explanation: 2x-3=7

3. The solution of 2y + 9 = 4 is:

Explanation: 2y+9 = 4

2y = 4-9 = -5

4. The solution of y/5 = 10 is:

Explanation: y/5 = 10

y = 5×10 = 50

5. What should be added to -7/3 to get 3/7?

Explanation: Let the number be x

-7/3+x = 3/7

x=3/7+7/3 = (9+49)/21 = 58/21

6. The perimeter of the rectangle is 20cm. If the length of the rectangle is 6cm, then its breadth will be:

Explanation: Perimeter of rectangle = 2(Length+Breadth)

20 = 2(6+x)

7. The age of the father is three times the age of the son. If the age of the son is 15 years old, then the age of the father is:

A. 50 years

B. 55 years

C. 40 years

D. 45 years

Explanation: Let the age of the father is x

Given: x = 3 × (age of son) = 3 × (15) = 45 years

8. The difference between two whole numbers is 66. The ratio of the two numbers is 2: 5. The two numbers are:

A. 60 and 6

B. 100 and 33

C. 110 and 44

D. 99 and 33

Explanation: Let the two numbers be 2x and 5x since they are in the ratio of 2:5.

The difference between 5x and 2x = 66

5x – 2x = 66

Hence, 2x = 2(22) = 44 and 5x = 5(22) = 110.

9. Three consecutive integers add up to 51. The integers are:

A. 16,17,18

B. 15,16,17

C. 17,18,19

D. 18,19,20

Explanation: Let the three consecutive integers be x, x+1, x+2

x+(x+1)+(x+2) = 51

3x = 51 – 3

x = 48/3 = 16

x+1 = 16+1=17

x+2 = x+2 = 18

10. The solution for 3m = 5m – (8/5) is:

Explanation: 3m = 5m – (8/5)

8/5 = 5m – 3m

m = 8/10 = 4/5

11. The degree of x 2 – 5x + 2 = x 3 is:

A. 3 B. 2 C. 1 D. 0

Answer: A. 3

Explanation: Degree is the highest power of the variable in an equation. Therefore, in the given equation, the highest degree is 3.

12. The degree of equation x 2 – 9 = 2x 2 is:

A. 0 B. 1 C. 2 D. 3

Answer: C. 2 Explanation: Degree is the highest power of the variable in an equation. Therefore, in the given equation, the highest degree is 2.

13. What is the value of x if x + 9 = 12?

A. 2 B. 3 C. 8 D. 6

Answer: B. 3 Explanation: x + 9 = 12 X = 12 – 9 X = 3

14. If a number is divided by 8 it gives 6 as the value. Find the number.

A. 36 B. 42 C. 48 D. 56

Answer: C. 48 Explanation: Let X be the number X/8 = 6 X = 8 x 6 = 48

15. Solve 2x + 9 = 4.

A. X = 6 B. X = -5/2 C. X = -3/2 D. X = -9/2

Answer: B. X = -5/2

2x + 9 = 4 2x = 4 – 9 2x = -5 x = -5/2

16. Find the value of x if 2x + 10 = 76.

A. 33 B. 7.6 C. 66 D. 32

Answer: A. 33 Explanation: 2x + 10 = 76 2x = 76 – 10 2x = 66 x = 66/2 x = 33

17. The perimeter of a rectangle is 40 cm. If its width is 10 cm, then find the length.

A. 10 B. 20 C. 30 D. 40

Answer: A. 10

Explanation: Perimeter of a rectangle = 40 cm Width = 10 cm Let the length be x. Perimeter of rectangle = 2(length + width) 40 = 2 (x + 10) 40/2 = x + 10 20 = x + 10 x = 20 – 10 = 10 Thus, the length is also 10 cm. Hence, we can say, that the given rectangle is basically a square, with all its sides equal.

18. If x is an even number, then the next even number is:

A. x+1 B. x+2 C. x+3 D. x+4

Answer: B. x+2 Explanation: If x = 2, then x + 2 = 2 + 2 = 4

19. The difference between the two numbers is 30. If the bigger number is x, then what is the smaller number?

A. x – 30 B. 30 – x C. 30x D. None of these

Answer: A. x – 30 Explanation: x – small number = 30 Small number = x – 30

20. When a number is added to itself, it becomes 24. What is the number?

A. 2 B. 4 C. 12 D. 21

Answer: C. 12 Explanation: Let the number be x. x + x = 24 2x = 24 x = 24/2 x = 12

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case study questions for class 8 maths linear equations

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The sign of the number changes when we move it from one side of the equality sign (=) to the other side. Here, -8/5 is moved from Right-hand side to left-hand side, thus it became positive whereas ‘3m’ is moved from LHS to RHS and it became negative.

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  • RS Aggarwal Class 8 Mathematics Solutions for Chapter-8 Linear Equations
  • RS Aggarwal Solutions

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Class 8 RS Aggarwal Mathematics Linear Equations solutions - free PDF download

Mathematics is a high-scoring subject in which pupils achieve the highest possible score on the exam. When it comes to test preparation, it is the most difficult moment for most students, as they struggle to solve problems. As a result, our skilled teachers at Vedantu created helpful aids to assist students in easily preparing the RS Aggarwal Class 8 Mathematics Solutions for Chapter-8 Linear Equations for their exams. All of the answers are designed and adhere to the most recent CBSE patterns. When students learn on a regular basis, they might acquire simple tactics and shortcut ways. This Chapter's PDFs are available here, and students can download them for free using the link on Vedantu’s site.

Solutions to Linear Equations for Class 8 RS Aggarwal

Scoring good marks in the math final examination becomes easy with the help of RS Aggarwal Class 8 Mathematics Solution Chapter 8. It is recommended that students should practice all the sums given in every math Chapter to score well in the examination. They can download Chapter 8 Class 8 Mathematics RS Aggarwal Solutions PDF from Vedantu. Students can refer to the RS Aggarwal Mathematics Class 8 Chapter 8 Solutions,to clear all their doubts from the Chapter. You can download the RS Aggarwal Class 8 Mathematics Chapter 8 solutions PDF from Vedantu for free. You may also be able to download NCERT Solution and NCERT Solutions for Class 8 Mathematics . Subjects like Science, Mathematics, English will become easy to study if you have access to NCERT Solution for Class 8 Science , Mathematics solutions and solutions of other subjects.

Exercise-Wise Solutions

We have provided step by step solutions for all exercise questions given in the PDF of Class 8 RS Aggarwal Chapter-8 Linear Equations. All the Exercise questions with solutions in Chapter-8 Linear Equations are given below:

Exercise (Ex 8A) 8.1

Exercise (Ex 8B) 8.2

Exercise (Ex 8C) 8.3

Learn More About Linear Equations:

When it comes to the topic of Linear Equations, then there are some concepts that students should be familiar with before they start solving sums. If you want to learn those topics, then you can refer to the thoroughly discussed topics below. All answers given in the RS Aggarwal Solutions for Class 8 Mathematics Chapter 8 PDF file are accurate and reliable.

According to experts, Linear Equations can be defined as equations of the first order. This means that equations are defined for lines in any particular coordinate system. In other words, a Linear Equation is an equation for a straight line.

Usually, the general representation of the straight-line equation can be written as y = mx + b. In this equation, m is the slope of the line and b is the y-intercept. Also, Linear Equations can have the highest exponent value of 1. Some examples of Linear Equations are:

3x - y + z = 4

Similarly, when an equation has a homogenous variable, which can also mean that there is only one variable, then this type of equation is known as a Linear Equation in one variable. This further means that a line equation can be achieved by relating zero to a linear polynomial over any particular field. This can be used to obtain the coefficients.

If a student finds solutions to Linear Equations, then that will result in the generation of values. These values when substituted for the unknown values would make the equation true. When it comes to the case of one variable, then there is also a single solution.

However, in the case of Linear Equations with two variables, the solutions can be calculated as the Cartesian coordinates of a point of the Euclidean plane. It should be noted here that Linear Equations can be present in one variable, two variables, and three variables. The examples for all of these Linear Equations are:

Linear Equation in One Variable: 3x + 5 = 0, 97x = 47, and 32x + 8 = 0.

Linear Equation in Two Variables: 6x + 9y - 11 = 0, y + 7x = 3, and 3a + 5t = 2.

Linear Equation in Three Variables: 3x + 12y = 2z, x + y + t = 0, and a - 4b = z.

The equation of a straight line can be given by:

Here, m is the slope of the line, b is the y-intercept, and x and y are the coordinates of the x-axis and the y-axis, respectively.

Further, if a straight line is parallel to the x-axis, then the x coordinate should be equal to zero. Hence, this means that:

Also, if the line is parallel to the y-axis, then the y coordinate will be zero. This means that:

The slope of the line can also be defined as being equal to the ratio of change in y coordinates and the change in x coordinates. An individual can evaluate the value of a slope by using the following formula.

M = (y 2 - y 1 ) / (x 2 - x 1 )

From this formula, it is clear that the slop shows the rise of a line in the plane. This is seen along with the distance covered on the x-axis. Students should remember that the slope of a line is also known as a gradient.

There are other important formulas related to Linear Equations that students should be familiar with. To help students, we have created a table of all those formulas. And that table is mentioned below.

In this table, m is the slope of a line, and xo and yo are the intercepts of the x-axis and y-axis, respectively.

There are several methods that one should follow to solve Linear Equations in one variable. As a general rule, both sides of the equation should be balanced for solving a Linear Equation. After that, students should solve the equation by using several mathematical operations on both sides of the equation. This should be done in a manner that does not have any effect on the balance of the equation. For example, if one has to solve the equation (2x - 10) / 2 = 3 (x - 1), then this can be done by following the steps that are mentioned below.

Step 1: Begin by clearing the fraction.

X - 5 = 3 (x - 1)

Step 2: Simplify both sides of the equation.

2x - 5 = 3x - 3

Step 3: Isolate the value of x.

In the case of Linear Equations with two variables, then there are different methods in which those equations can be solved. And those ways are:

Method of substitution.

Determinant methods.

Method of elimination.

Cross multiplication method.

Also, when it comes to solving Linear Equations in three variables, then those equations can be solved by using the matrix method. Students will get to learn about those methods in other Classes in the future.

Get the Solutions on Vedantu

There are three exercises in RS Aggarwal Class 8 Chapter 8. In all of these exercises, students are tested on their knowledge of Linear Equations. If a student has any doubts while solving these exercises, then the student may take the help of experts at Vedantu. We provide students with solved R S Aggarwal Class 8 Chapter 8 Solutions PDF for free.

Benefits of Downloading Class 8 Mathematics RS Aggarwal Chapter 8 From Vedantu:

There are many benefits that students can get from downloading Class 8 Mathematics R S Aggarwal Chapter 8 from Vedantu. Some of these benefits are listed below.

All answers are 100% accurate and reliable.

Answers are accompanied by an explanation section that can help students to further understand the answer in a better light.

Answers are written by the best subject matter experts in India.

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FAQs on RS Aggarwal Class 8 Mathematics Solutions for Chapter-8 Linear Equations

1. Is solving Class 8 RS Aggarwal Chapter 8 Linear Equations beneficial for exams?

Solving Chapter 8 Linear Equations of Class 8 RS Aggarwal is critical in understanding the concepts of the Chapter perfectly. The Chapter is important from the exam perspective as well as for strengthening the foundation for higher studies. Hence, students RS Aggarwal textbook problems to learn how to solve any type of question from the Chapter. RS Aggarwal Chapter 8 Linear Equation exercises allow students to score well in the exams. Class 8 students must solve RS Aggarwal questions for Chapter 8 Linear Equations for proper revision and doubt clearance.

2. Why should I download Class 8 RS Aggarwal solutions for Chapter 8 Linear Equations?

Students must download RS Aggarwal Solutions for Chapter 8 Linear Equations to get the solutions to exercise questions. These are available on popular ed-tech platforms like Vedantu. At Vedantu, RS Aggarwal Linear Equations problems are explained in a fairly simple manner so that students can understand them on their own. The solutions allow students to practice the Chapter for better understanding of concepts. For clearing any doubts regarding Class 8 RS Aggarwal Chapter 8 Linear Equations, students can refer to the solutions available in the free PDF format.

3. What are the learning objectives of RS Aggarwal Mathematics Chapter 8 of Class 8?

With the help of Chapter 8 Linear Equations, students will learn how to solve Linear Equations in one variable. Linear Equations are a crucial part of Algebra. Solving the problems of the Chapter improves arithmetic skills as well as problem-solving abilities. Students will get to know how to frame Linear Equations based on the problem statement. It also ensures that students are able to solve problems where some equations are involved.

4. From where can one avail RS Aggarwal solutions for Class 8 Mathematics Chapter 8 Linear Equations?

There are many ed-tech platforms that offer RS Aggarwal Solutions for Class 8 Mathematics. However, Vedantu is becoming the students’ favorite platform where one can find the well-curated solutions prepared by expert teachers. These mentors have a vast knowledge of the subject and are also well-experienced. RS Aggarwal Solutions for Class 8 Mathematics Chapter 8 Linear Equations include solved exercise problems. This helps students to easily solve the Chapter. Vedantu provides a step-by-step solution to make it easier for students to grasp the knowledge. Vedantu’s RS Aggarwal Solutions are 100% correct. You can download the PDF for free.

5. What is the most effective method for learning Chapter 8? Factorization in RS Aggarwal's Class 8 Mathematics Chapter 7?

Class 8 Mathematics Chapter-7, RS Aggarwal Factorisation is a fascinating Chapter that necessitates a full comprehension of the principles as well as the practice of a variety of numerical based on the same notion. The bigger the number of questions you practise after fully understanding the subject or theory of the Chapter, the stronger your grip on it will be. This can tremendously assist you in gaining confidence and improving your exam performance. After you've completed all of the Chapters, you should work on the previous year papers and mocks available on Vedantu to improve your speed and efficiency, as well as your total subject score.

case study questions for class 8 maths linear equations

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable are provided below. Our solutions covered each questions of the chapter and explains every concept with a clarified explanation. To score good marks in Class 8 Mathematics examination, it is advised to solve questions provided at the end of each chapter in the NCERT book.

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable are prepared based on Class 8 NCERT syllabus, taking the types of questions asked in the NCERT textbook into consideration. Further, all the CBSE Class 8 Solutions Maths Chapter 2 are in accordance with the latest CBSE guidelines and marking schemes.

Class 8 Maths Chapter 2 Exercise 2.1 Solutions

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in Two Variables Exercise 2.1 00001

Class 8 Maths Chapter 2 Exercise 2.2 Solutions

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in Two Variables Exercise 2.2 00001

Class 8 Maths Chapter 2 Exercise 2.3 Solutions

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in Two Variables Exercise 2.3 00001

Class 8 Maths Chapter 2 Exercise 2.4 Solutions

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in Two Variables Exercise 2.4 00001

Class 8 Maths Chapter 2 Exercise 2.5 Solutions

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in Two Variables Exercise 2.5 00001

Class 8 Maths Chapter 2 Exercise 2.6 Solutions

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in Two Variables Exercise 2.6 00001

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Linear Equations in One Variable Class 8 Extra Questions Maths Chapter 2

Linear Equations in One Variable Class 8 Extra Questions Maths Chapter 2

Extra Questions for Class 8 Maths Chapter 2 Linear Equations in One Variable

Linear Equations in One Variable Class 8 Extra Questions Very Short Answer Type

Linear Equations In One Variable Class 8 Worksheets With Answers Question 1. Identify the algebraic linear equations from the given expressions. (a) x 2 + x = 2 (b) 3x + 5 = 11 (c) 5 + 7 = 12 (d) x + y 2 = 3 Solution: (a) x 2 + x = 2 is not a linear equation. (b) 3x + 5 = 11 is a linear equation. (c) 5 + 7 = 12 is not a linear equation as it does not contain variable. (d) x + y 2 = 3 is not a linear equation.

Linear Equations In One Variable Class 8 Worksheets Question 2. Check whether the linear equation 3x + 5 = 11 is true for x = 2. Solution: Given that 3x + 5 = 11 For x = 2, we get LHS = 3 × 2 + 5 = 6 + 5 = 11 LHS = RHS = 11 Hence, the given equation is true for x = 2

Linear Equations Class 8 Extra Questions Question 3. Form a linear equation from the given statement: ‘When 5 is added to twice a number, it gives 11.’ Solution: As per the given statement we have 2x + 5 = 11 which is the required linear equation.

Linear Equations In One Variable Class 8 Extra Questions With Answers Question 4. If x = a, then which of the following is not always true for an integer k. (NCERT Exemplar) (a) kx = ak (b) \(\frac { x }{ k }\) = \(\frac { a }{ k }\) (c) x – k = a – k (d) x + k = a + k Solution: Correct answer is (b).

Class 8 Maths Chapter 2 Extra Questions Question 5. Solve the following linear equations: (a) 4x + 5 = 9 (b) x + \(\frac { 3 }{ 2 }\) = 2x Solution: (a) We have 4x + 5 = 9 ⇒ 4x = 9 – 5 (Transposing 5 to RHS) ⇒ 4x = 4 ⇒ x = 1 (Transposing 4 to RHS) (b) We have x + \(\frac { 3 }{ 2 }\) = 2x ⇒ \(\frac { 3 }{ 2 }\) = 2x – x ⇒ x = \(\frac { 3 }{ 2 }\)

Linear Equations in One Variable Class 8 Extra Questions Maths Chapter 2 1

Class 8 Maths Chapter 2 Extra Questions With Solutions Question 7. Verify that x = 2 is the solution of the equation 4.4x – 3.8 = 5. Solution: We have 4.4x – 3.8 = 5 Putting x = 2, we have 4.4 × 2 – 3.8 = 5 ⇒ 8.8 – 3.8 = 5 ⇒ 5 = 5 L.H.S. = R.H.S. Hence verified.

Linear Equations in One Variable Class 8 Extra Questions Maths Chapter 2 2

Linear Equations In One Variable Class 8 Word Problems Question 9. The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle. Solution: Let the angles of a given triangle be 2x°, 3x° and 4x°. 2x + 3x + 4x = 180 (∵ Sum of the angles of a triangle is 180°) ⇒ 9x = 180 ⇒ x = 20 (Transposing 9 to RHS) Angles of the given triangles are 2 × 20 = 40° 3 × 20 = 60° 4 × 20 = 80°

Extra Questions For Class 8 Maths Chapter 2 Question 10. The sum of two numbers is 11 and their difference is 5. Find the numbers. Solution: Let one of the two numbers be x. Other number = 11 – x. As per the conditions, we have x – (11 – x) = 5 ⇒ x – 11 + x = 5 (Solving the bracket) ⇒ 2x – 11 = 5 ⇒ 2x = 5 + 11 (Transposing 11 to RHS) ⇒ 2x = 16 ⇒ x = 8 Hence the required numbers are 8 and 11 – 8 = 3.

Linear Equations In One Variable Questions Question 11. If the sum of two consecutive numbers is 11, find the numbers. Solution: Let the two consecutive numbers be x and x + 1. As per the conditions, we have x + x + 1 = 11 ⇒ 2x + 1 = 11 ⇒ 2x = 11 – 1 (Transposing 1 to RHS) ⇒ 2x = 10 x = 5 Hence, the required numbers are 5 and 5 + 1 = 6.

Linear Equations in One Variable Class 8 Extra Questions Short Answer Type

Linear Equations in One Variable Class 8 Extra Questions Maths Chapter 2 4

Question 13. The difference between two positive numbers is 40 and the ratio of these integers is 1 : 3. Find the integers. Solution: Let one integer be x. Other integer = x – 40 As per the conditions, we have \(\frac { x-40 }{ x }\) = \(\frac { 1 }{ 3 }\) ⇒ 3(x – 40) = x ⇒ 3x – 120 = x ⇒ 3x – x = 120 ⇒ 2x = 120 ⇒ x = 2 Hence the integers are 60 and 60 – 40 = 20.

Linear Equations in One Variable Class 8 Extra Questions Maths Chapter 2 5

Question 15. The sum of a two-digit number and the number obtained by reversing its digits is 121. Find the number if it’s unit place digit is 5. Solution: Unit place digit is given as 5 Let x be the tens place digit Number formed = 5 + 10x Number obtained by reversing the digits = 5 × 10 + x = 50 + x As per the conditions, we have 5 + 10x + 50 + x = 121 ⇒ 11x + 55 = 121 ⇒ 11x = 121 – 55 (Transposing 55 to RHS) ⇒ 11x = 66 ⇒ x = 6 Thus, the tens place digit = 6 Hence the required number = 5 + 6 × 10 = 5 + 60 = 65

Linear Equations in One Variable Class 8 Extra Questions Higher Order Thinking Skills (HOTS)

Linear Equations in One Variable Class 8 Extra Questions Maths Chapter 2 8

Question 18. A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/h, find the speed of the steamer in still water and the distance between the ports. (NCERT Exemplar) Solution: Let speed of steamer in still water = x km/h Speed of stream = 2 km/h Speed downstream = (x + 2) km/h Speed upstream = (x – 2) km/h Distance covered in 7 hours while downstream = 7(x + 2) Distance covered in 8 hours while upstream = 8(x – 2) According to the condition, 7(x + 2) = 8(x – 2) ⇒ 7x + 14 = 8x – 16 ⇒ x = 30 km/h Total Distance = 7(x + 2) km = 7(30 + 2) km = 7 × 32 km = 224 km.

Linear Equations in One Variable Class 8 Extra Questions Maths Chapter 2 11

Extra Questions for Class 8 Maths

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Linear Equations in One Variable Class 8 MCQ Test (Online Available)

Free mcq test, table of content, linear equations in one variable test - 47.

Duration: 10 Mins

Maximum Marks: 10

Read the following instructions carefully.

1. The test contains 10 total questions.

2. Each question has 4 options out of which only one is correct .

3. You have to finish the test in 10 minutes.

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The chapter Linear Equations in One Variable is one of the important chapters in class 8. The highly qualified experts of Selfstudys developed these Linear Equations in One Variable class 8 MCQ to test what students have learnt and also helps them to identify their strengths and weaknesses. 

These MCQ on Linear Equations in One Variable history class 8 are developed as per the latest pattern of CBSE (Central Board of Secondary Education). If a student wants to secure good marks in their exams, then they should attempt Linear Equations in One Variable class 8 MCQ. 

The MCQ on Linear Equations in One Variable history class 8 is created with detailed explanation of concepts which can help students understand the concepts better and also increases their objective knowledge. 

Format of Linear Equations in One Variable Class 8 MCQ 

By regularly practising the MCQ on Linear Equations in One Variable History class 8, the students will get to know about the most common repeated questions. They will also get to know about the HOTS Questions (High Order Thinking Skills). The Linear Equations in One Variable class 8 MCQ also helps the students to do a thorough revision for their final examinations. 

The Linear Equations in One Variable class 8 MCQ is developed as per the question papers of the last 5 years to help the students to give an idea about the most repeated questions and also about the pattern of the examination. 

Steps To Attempt The Linear Equations in One Variable Class 8 MCQ 

If students want to attempt Linear Equations in One Variable class 8 MCQ, they need to follow the following steps: 

  • The first step is to go to the official website of selfstudys i.e. selfstudys.com.

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Instructions To Attempt Linear Equations in One Variable Class 8 MCQ 

Before starting the Linear Equations in One Variable class 8 MCQ, it is advisable for all the students to go through the instructions to attempt the Linear Equations in One Variable class 8 MCQ; 

  • The total number of questions in the Linear Equations in One Variable class 8 MCQ is 10. 
  • Out of 4 options in the MCQ on Linear Equations in One Variable history class 8, only 1 is correct. 
  • The duration in the Linear Equations in One Variable history class 8 MCQ will be 10 minutes to ensure time management among the students. 
  • For each correct answer, the students will be given 1 mark. 
  • After submitting the Linear Equations in One Variable class 8 MCQ, all the students can have a look at the answers with detailed information. 
  • On the basis of the marks scored in the Linear Equations in One Variable class 8 MCQ test and time taken by the student to complete the test, the rank will be calculated. 

How To Prepare for The Linear Equations in One Variable Class 8 MCQ? 

All the students should prepare for Linear Equations in One Variable class 8 MCQ in the following way to secure good marks in their examination: 

  • Start by memorising the important notes: The first step is to brush up all the important notes to create a strong base for the learning if a student is preparing for Linear Equations in One Variable history class 8 MCQ. Multiple choice questions is one of the most effective methods to test the skills of students and also it helps to know how well prepared a student is for the exam. 
  • Make Acronyms: Another effective method which is advisable for all the students is to make acronyms to prepare for Linear Equations in One Variable class 8 MCQ. The procedure for that will be taking the first alphabet of the word and relating it with a word so that it becomes easy for you to remember. 
  • Make flashcards: Making flashcards is also an effective way to prepare for the Linear Equations in One Variable class 8 MCQ which can help you to explain and relate key terms and names. Flashcards are a great tool if a student wants to do revision after the completion of their preparation. It also helps to recall all the important concepts which is a very important skill in the case of MCQ tests. 
  • Put important information into a song which you like: Take a musical tune that is easy to memorise and replace the words with important dates, names and other important things. 
  • Quiz yourself: Develop your own questions after going through the CBSE Class 8 syllabus and important notes. After creating 10 questions, test your knowledge to see how well you know the topic and also to identify your strengths and weaknesses. 

How Regular Practice of Linear Equations in One Variable Class 8 MCQ Can Help Students Improve Their Scores 

The first thing which a student wants to know after completing the preparation of Linear Equations in One Variable history class 8 MCQ, they want to know how well are they actually prepared for the exam

The benefits of Linear Equations in One Variable class 8 MCQ are huge, a student can get to know about their strengths and weaknesses and also the areas where they lack. 

Benefits of The Linear Equations in One Variable Class 8 MCQ 

There are numerous benefits of Linear Equations in One Variable history class 8 MCQ can help students to improve their marks in examinations. Some of them are: 

  • Flexible Questioning Technique: Flexible questioning technique is used in the Linear Equations in One Variable class 8 MCQ which can promote effective learning among the students and as MCQ questions are versatile, students can learn them with critical thinking. 
  • Time Management: The Linear Equations in One Variable class 8 MCQ helps the students to manage their time effectively. Time management reduces the chance of procrastination which can increase the chances for scoring well in the examination for all the students. As the time duration of the Linear Equations in One Variable class 8 MCQ will only be 10 minutes, it can be helpful for students as they will have more time for other important study materials. 
  • Fast: The Linear Equations in One Variable history class 8 MCQ is fast as compared to other modes of exam available. Examples include offline (pen and paper) etc. This can be beneficial for students as they will get the status of their exam preparation fast. 
  • Developed by the Subject Matter Experts: These Linear Equations in One Variable class 8 MCQ are developed by the subject matter experts of selfstudys.com who have years of experience in the educational field and are aware of the most common questions which can be asked in examinations. 
  • Give the idea of the pattern of the exam: The Linear Equations in One Variable class 8 MCQ gives the idea of the pattern of the exam to the students which can make them confident and also help them to score well in the exam. 
  • Improve the skills of the students: The Linear Equations in One Variable history class 8 MCQ can significantly improve critical thinking, management skills and time management skills. 

Hacks to Score Well in the Linear Equations in One Variable class 8 MCQ

If a student want to score well in the Linear Equations in One Variable class 8 MCQ, they can try the following hacks: 

  • Read the complete question: It is advisable for students to read the entire question of the MCQ on Linear Equations in One Variable history class 8 completely as it helps them to understand the requirement of the question. Students often feel that they know the answer by looking at the question and without reading the complete question, they choose the most logical answer. This mistake is very common among the students. 
  • Answer it in your mind first: Answer the question in your mind after reading the Linear Equations in One Variable history class 8 MCQ without looking at the options. Try to answer it without looking at the options as it will help you to be completely sure about the answer. 
  • Attempt the questions you know first: Students are advised to attempt the questions for which they are completely sure that they know the answer whereas if a student doesn’t know the particular answer, they can skip it. By doing this, no unnecessary time will be wasted and time management will be ensured. 
  • Make a guess: Students should make a guess while attempting the Linear Equations in One Variable class 8 MCQ because there is no negative marking. So, there is no need to skip any questions. 

How To Select The Correct Answers To The Linear Equations in One Variable History Class 8 MCQ?

  • Use the process of elimination: After reading the entire questions and all the four options, students can use the process of elimination for the options for which they are 100% sure that they are incorrect. Even if they know the correct option, students are advised to use the elimination process. 
  • “All of the above” and “None of the above”:  While attempting the Linear Equations in One Variable class 8 MCQ, if you see options like “All of the above” and “none of the above”, prefer not to choose them unless you are 100% sure as students think that this is the correct option.
  • Find the answers hidden in the Question: A lot of times, the answers are hidden in the given questions so, try to find the answers hidden in Linear Equations in One Variable class 8 MCQ. Try decoding the questions by rereading them as you can find them in the questions itself. 
  • True or False Test: Doing a true or false test in Linear Equations in One Variable Maths Class 8 MCQ can be very beneficial as it can be easier for a student to not consider all the false answer options and choose the correct answer.
  • Possibility of two correct answers: If in case, two answers look correct with all of the above options while attempting the Class 8 Linear Equations in One Variable of History MCQ, then there is a strong possibility that it is the correct answer option. 

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  1. CBSE NCERT CLASS 8 MATHS LINEAR EQUATIONS IN ONE VARIABLES EX 2.2 SUM 10 (SOLUTION IN TAMIL)

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COMMENTS

  1. Case Study Questions for Class 8 Maths Chapter 2 Linear Equations in

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  3. Important Questions for Class 8 Maths Chapter 2

    Extra Practice Questions For Class 8 Maths Chapter 2 Linear Equations in One Variable. 1. The tens and unit digits of a number are the same. By adding the number to its reverse, you get the sum 110. Calculate the number. 2. A man sold his bicycle for an amount that is over Rs 988 by half the price that he paid for it. He made a profit of Rs, 300.

  4. CBSE Class 8th Maths Value Based Questions PDF Download

    CBSE Maths Value Based Questions for Class 8th download here in PDF format. The most CBSE Maths Value Based Questions for annual examination are given here for free of cost. The additional questions for practice the Class 8th exam are collected from various sources. It covers questions asked in previous year examinations.

  5. Class 8 Maths Chapter 2

    Class 8 Maths Chapter 2 | Linear Equations in One Variable | Case Study QuestionIn this video, I have solved case study question of class 8 maths chapter 2 L...

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  7. Important Questions for CBSE Class 8 Maths Chapter 2

    With proper practice of these class 8 maths chapter 2 important questions, students can prepare well for their exams. Below are some of the important questions from this chapter. 1. Solve the following linear equations: (i) x - 11 =7. (ii) z + 8 = 9. (iii) 11x = 121. 2.

  8. NCERT Exemplar Class 8 Maths Chapter 4 Linear Equations in One Variable

    Solution. (a) The shifting of a number from one side of an equation to other side is called transposition. e.g. x +a = 0is the equation, x = -a. Here, number 'a' shifts from left hand side to right hand side. Question. 5 If 5x 3-4 =2x 5 , then the numerical value of 2x - 7 is. (a)19 13 (b)−13 19.

  9. Linear equations in one variable

    Class 8 (Old) 14 units · 96 skills. Unit 1 Rational numbers. Unit 2 Linear equations in one variable. Unit 3 Understanding quadrilaterals. Unit 4 Data handling. Unit 5 Squares and square roots. Unit 6 Cubes and cube roots. Unit 7 Comparing quantities. Unit 8 Algebraic expressions and identities.

  10. Chapter 2 Class 8 Linear Equations in One Variable

    Best answers guaranteed! We studied Equations and Expressions in Algebra ( Chapter 9 Class 8 ). Equation has an = sign, expression does not have it. Solving Linear Equations - by taking variables on one side, numbers on the side. Making Equations from Statements, and then Solving.

  11. Case Study Class 8 Maths

    Case Study Class 8 Maths | Cambridge I Did It Mathematics | Ch 7 Linear equation in one variable._____...

  12. Linear Equations in One Variable Class 8 Extra Questions Maths Chapter

    Linear Equations in One Variable Class 8 Extra Questions Very Short Answer Type. Question 1. Identify the algebraic linear equations from the given expressions. (a) x 2 + x = 2 is not a linear equation. (b) 3x + 5 = 11 is a linear equation. (c) 5 + 7 = 12 is not a linear equation as it does not contain variable.

  13. Class 8 Important Questions for Maths

    Maths Important Questions Class 8 are given below chapter wise. Rational Numbers. Data Handling. Square-Square Root and Cube-Cube Root. Linear Equations in One Variable. Understanding Quadrilaterals and Practical Geometry. Visualising Solid Shapes. Algebraic Expressions, Identities and Factorisation. Exponents and Powers.

  14. NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One

    NCERT Solutions Class 8 Maths Chapter 2 - Free PDF Download. NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable are provided here in PDF format, which can be downloaded for free. The NCERT Solutions for the Chapter Linear Equations in One Variable have been designed by Mathematics experts at BYJU'S accurately. All the solved questions of Linear Equations in One ...

  15. NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One

    NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Exercise 2.1. Ex 2.1 Class 8 Maths Question 1. Solve the equation: x - 2 = 7. Solution: Given: x - 2 = 7. ⇒ x - 2 + 2 = 7 + 2 (adding 2 on both sides) ⇒ x = 9 (Required solution) Ex 2.1 Class 8 Maths Question 2. Solve the equation: y + 3 = 10.

  16. Class 8 Maths Chapter 2 Linear Equations in One Variable MCQs

    MCQs on Class 8 Linear Equations in One Variable. Multiple choice questions (MCQs) are available for Class 8 Linear Equations in One Variable with each problem consisting of four options, out of which one is the correct answer. Students have to solve the problem and select the correct answer. Verify your solution with the answers provided here. 1.

  17. Linear Equations in One Variable-Sample Questions

    Download a PDF of free latest Sample questions with solutions for Class 8, Math, CBSE-Linear Equations in One Variable . All types of questions are solved for all topics. You can also get complete NCERT solutions and Sample papers.

  18. RS Aggarwal Class 8 Mathematics Solutions for Chapter-8 Linear Equations

    The examples for all of these Linear Equations are: Linear Equation in One Variable: 3x + 5 = 0, 97x = 47, and 32x + 8 = 0. Linear Equation in Two Variables: 6x + 9y - 11 = 0, y + 7x = 3, and 3a + 5t = 2. Linear Equation in Three Variables: 3x + 12y = 2z, x + y + t = 0, and a - 4b = z. The equation of a straight line can be given by:

  19. Linear Equations in One Variable-Important Questions

    Find these multiples. 5. Solve 3x/4 - 7/4 = 5x + 12. 6. Perimeter of a rectangle is 13cm. if its width is 11/4 cm, find its length. 7. The present of Sita's father is three times the present age of Sita. After six years sum of their ages will be 69 years.

  20. NCERT Solutions for Class 8 Maths Chapter 2 Linear ...

    Table of Contents. NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable are prepared based on Class 8 NCERT syllabus, taking the types of questions asked in the NCERT textbook into consideration. Further, all the CBSE Class 8 Solutions Maths Chapter 2 are in accordance with the latest CBSE guidelines and marking schemes.

  21. Linear Equations in One Variable Class 8 Extra Questions Maths Chapter

    Linear Equations In One Variable Class 8 Worksheets Question 2. Check whether the linear equation 3x + 5 = 11 is true for x = 2. Solution: Given that 3x + 5 = 11. For x = 2, we get. LHS = 3 × 2 + 5 = 6 + 5 = 11. LHS = RHS = 11. Hence, the given equation is true for x = 2. Linear Equations Class 8 Extra Questions Question 3.

  22. Linear Equations in One Variable-Sample Papers

    Find all the three angles of the triangle. (3 marks) 5. If one number is multiplied by the Number the resulting number is the sum of the square of the first number and cube root of the second number. Find the number of such Pairs. (3 marks) 3. Prime nos = 29, 31. Download free CBSE Sample paper for Class 8, Math.

  23. Linear Equations in One Variable Class 8 MCQ Test (Online ...

    Steps To Attempt The Linear Equations in One Variable Class 8 MCQ. If students want to attempt Linear Equations in One Variable class 8 MCQ, they need to follow the following steps: The first step is to go to the official website of selfstudys i.e. selfstudys.com. Click on the three lines on the upper left side, and then tap on the 'CBSE ...

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