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NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable Ex 2.2

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CBSE Maths NCERT Solutions Exercise 2.2 Class 8 - FREE PDF Download

The NCERT Solutions for Class 8 Maths Chapter 2 – Linear Equations in One Variable are prepared by the subject experts to help the students. These NCERT Solutions make the students familiar with various concepts. CBSE Maths Chapter 2 Ex 2.2 Class 8 consists of questions that comprise various topics carrying different marks, so students must be well aware of all concepts to score well in the annual exam. Practising the NCERT solutions repeatedly is an easy way to learn the concepts covered in Class 8 Maths Ex 2.2.

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Access NCERT Solutions for Maths Chapter 2 – Linear Equations in One Variable Ex 2.2 Class 8

Exercise 2.2

1. Find the solution of the linear equationx2-15=x3+14

Ans: We have an equation x2-15=x3+14

The L.C.M of denominators 2,3,4 and 5 is 60

Multiplying both the sides by 60,

60(x2-15)=60(x3+14)

60(5x-210)=60(4x+312)

6(5x-2)=5(4x+3)

30x-12=20x+15

Shifting 20x to left hand side and 12 on right hand side

30x-20x=15+12

10x=27

x=2710


2. Find the solution of the linear equationn2-3n4+5n6=21

Ans: We have an equation n2-3n4+5n6=21

The L.C.M of denominators 2,4 and 6 is 12

Multiplying both the sides by 12,

12(n2-3n4+5n6)=12(21)

12(6n-9n+10n12)=12(21)

7n=252

Dividing the equation by 7

n=36


3. Find the solution of the linear equationx+7-8x3=176-5x2

Ans: We have an equation x+7-8x3=176-5x2

The L.C.M of denominators 2,3 and 6 is 6

Multiplying both the sides by 6,

6(x+7-8x3)=6(176-5x2)

6(6x+42-16x6)=6(17-15x6)

6x+42-16x=17-15x

Shifting 15x to left hand side and 42 to right hand side

-10x+15x=17-42

5x=-25

Dividing both the sides by 5

x=-5


4. Find the solution of the linear equationx-53=x-35

Ans: We have an equation x-53=x-35

The L.C.M of denominators 3 and 5 is 15

Multiplying both the sides by 15,

15(x-53)=15(x-35)

5(x-5)=3(x-3)

5x-25=3x-9

Shifting 3x to left hand side and 25 to right hand side

5x-3x=-9+25

2x=16

Dividing both the sides by 2

x=8


5. Find the solution of the linear equation3t-24-2t+33=23-t

Ans: We have an equation 3t-24-2t+33=23-t

The L.C.M of denominators 3 and 4 is 12

Multiplying both the sides by 12,

12(3t-24-2t+33)=12(23-t)

12(9t-6-8t-1212)=12(8-12t12)

t-18=8-12t

Shifting 12t to left hand side and 18 to right hand side

t+12t=8+18

13t=26

Dividing both the sides by 13

t=2


6. Find the solution of the linear equation m-m-12=1-m-23

Ans: We have an equation m-m-12=1-m-23

The L.C.M of denominators 3 and 2 is 6

Multiplying both the sides by 6,

6(2m-m+12)=6(3-m+23)

3(m+1)=3(-m+5)

3m+3=10-2m

Shifting 2m to left hand side and 3 to right hand side

3m+2m=10-3

5m=7

Dividing both the sides by 5

m=75


7. Find the solution of the linear equation 3(t-3)=5(2t+1)

Ans: We have an equation 3(t-3)=5(2t+1)

3t-9=10t+5

Shifting 5 to left hand side and 3t to right hand side

-9-5=10t-3t

-14=7t

Dividing both the sides by 7

-2=t


8. Find the solution of the linear equation 15(y-4)-2(y-9)+5(y+6)=0

Ans: We have an equation 15(y-4)-2(y-9)+5(y+6)=0

15y-60-2y+18+5y+30=0

18y-12=0

Shifting 12 to right hand side

18y=12

Dividing both the sides by 18

y=1218

y=23


9. Find the solution of the linear equation 3(5z-7)-2(9z-11)=4(8z-13)-17

Ans: We have an equation 3(5z-7)-2(9z-11)=4(8z-13)-17

15z-21-18z+22=32z-52-17

-3z+1=32z-69

Shifting 69 to left hand side and 3z to right hand side

1+69=32z+3z

70=35z

Dividing both the sides by 35

z=2


10. Find the solution of the linear equation 0.25(4f-3)=0.05(10f-9)

Ans: We have an equation 0.25(4f-3)=0.05(10f-9)

f-0.75=0.5f-0.45

Shifting 0.5f to left hand side and 0.75 to right hand side

0.5f=-0.45+0.75

0.5f=0.3

Dividing both the sides by 0.5

f=0.6


Conclusion

Class 8 Maths Chapter 2 Exercise 2.2 solutions, "Linear Equations in One Variable," focuses on solving linear equations involving one variable. Exercise 2.2 Class 8 introduces complex problems, requiring careful manipulation. It covers isolating the variable, simplifying the equation, and verifying solutions. Exercises include fractions, integers, and word problems, solidifying understanding of different forms of linear equations. Practice is crucial for developing problem-solving skills and preparing for exams.


Class 8 Maths Chapter 2: Exercises Breakdown

Exercise

Number of Questions

Exercise 2.1

10 Questions with Solutions


CBSE Class 8 Maths Chapter 2 Exercise 2.2 Other Study Materials


Chapter-Specific NCERT Solutions for Class 8 Maths

Given below are the chapter-wise NCERT Solutions for Class 8 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.



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FAQs on NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable Ex 2.2

1. Which example of Exercise 2.5 Class 8 Maths is most important for exams?

There are only two examples in the Exercise 2.5 Class 8 Maths. And they are equally important for the exams. Practicing and revising becomes easier with the NCERT Solutions provided by Vedantu experts. Visit the page CBSE Class 8 Maths Chapter 2 Exercise 2.5 to download the NCERT Solutions PDF for free of cost. These solutions are written in easy language to help students understand the concepts better and score high marks in the exam.

2. Which is the trickiest question in Class 8 Maths Exercise 2.5?

Every question needs more attention when it comes to Maths. But it is said that questions five and six can be slightly tricky for the students. Vedantu provides NCERT Solutions for Class 8 Maths so that students practice the tricky question and revise for the exam. Visit the page CBSE Class 8 Maths Chapter 2 Exercise 2.5 to get well versed in all the concepts. These solutions are prepared by subject matter experts with decades of experience and are available free of cost.

3. What is the best study material to use for Chapter 2 Class 8 Maths ?

NCERT Solutions are the best guide for the students , since it follows CBSE curriculum. It covers all the chapters to make the students understand the concepts well. Vedantu ‘s NCERT Solutions are formed by India's best teachers to help the students get well versed in all the concepts. Download NCERT Solutions for Chapter 2 Class 8 Maths. Students can download these solutions and save them on their computers. They can refer to these solutions anytime while they are preparing for the exams and have doubts. 

4. What is the topic of Chapter 2 Class 8 Maths ?

Chapter 2 in Class 8 Maths focuses on the linear equation in one variable. NCERT Solutions by Vedantu can be a reference material for the students in the preparation for the exams. Visit  the page CBSE Class 8 Maths Chapter 2 to download a free PDF created by the Vedantu experts.

5. Do I need to work on all the problems in NCERT Solutions for Chapter 2 Class 8 Maths?

Yes , you need to solve all the problems given in NCERT Solutions for Chapter 2 Class 8 Maths because the more you practice , the more you can understand the concepts. Vedantu ‘s NCERT Solutions are carefully created by the experts to make the concepts easy for the students. Visit the Vedantu website or download the Vedantu app to download the NCERT Solutions at free of cost.

6. What are some common mistakes to avoid in Class 8 Exercise 2.2?

In class 8 exercise 2.2 make sure the variable you pick in your equation truly represents what you're trying to find. Sometimes, you might miss translating a part of the word problem into the equation. Double-check that your equation captures all the connections between the numbers. Be careful with plus and minus signs, and don't rush through the calculations. Finally, don't forget to check your answer. Plug it back into the word problem to see if it makes sense in the real-life scenario.

7. What should I focus on in class 8 maths chapter 2.2?

In class 8 maths chapter 2.2 to solve a problem, first understand the problem thoroughly and identify the variable you need to solve. Then, translate the connections into a mathematical equation involving the variable, given numbers, and usual operations. Solve the equation by isolating the variable and finding its value, potentially manipulating the equation strategically. Finally, check your detective work by plugging your answer back into the original problem to ensure it makes sense in the real-world scenario.